Answer:
The correct answer is option D i.e. A and C
Explanation:
The correct answer is option D i.e. A and C
for proficient catching player must
- learn to absorbed the ball force
- moves the hang according to ball direction to hold the ball
- to catch ball at high height move the finger at higher position
- to catch ball at low height move the finger at lower position
In an experiment to determine ΔH for the reaction between HBr and NaOH , 43.6 mL of 1.08 M HBr at 19.95 °C is placed in a coffee cup calorimeter which has a heat capacity of 7.99 J/°C. 43.6 mL of 1.08 M NaOH at 19.95 °C is added to the acid solution in the calorimeter and quickly mixed. A final temperature of 26.88 °C was recorded. What is ΔH for this reaction, in kJ? Assume that the specific heats of all solutions are the same as for pure water (4.18 J g-1 °C-1), and that all solution densities are 1.00 g/mL. Don't forget to put the proper sign on your ΔH value.
Answer:
ΔH = -57.78kj/mol
Explanation:
Assumptions
These are solutions, not pure water. The specific heat of water is 4.184 J/goC. Assume that these solutions are close enough to being like water that their specific heats are also 4.1984 J/goC.
the heat evolved will be
q = mcΔt
first of all convert ml to grams
(43.6 mL + 43.6 mL ) = 87.2mL of solution.
density of water=1g/ml
87.2 mL X 1 g/ml = 87.2 grams of solution.
(mass = Volume X Density)
Find the temperature change.
Δt =tfinal - tinitial = 26.88oC - 19.95oC = 6.93oC
q = mcΔt
= 87.2 grams X 4.184 J/goC X 6.9oC
= 2.52 X 10^3 J
This is the heat gained by the water, but in fact it is the heat lost by the reacting HBr and NaOH, therefore q = -2.52 x 10^3 J.
i.e. it is an exothermic reaction, heat was lost to the water and it got warmer
to find the how much of HBr that was used in mol
43.6 mL of HBr X 1.00 mol HBr/ 1000 mL HBr = 0.0436 mol HBr
same quantity of base NaoH was used
. molar enthalpy = J/mol = -2.52 x 10^3 J / 0.0436 mol
-57.78kj/mol
Therefore, for the neutralization of HBrl and NaOH, the enthalpy change, often called the enthalpy of reaction is ΔH = -57.78kj/mol
How many of following statements about the photoelectric effect are true? (a) The greater the frequency of the incident light is, the greater is the stopping potential. (b) The greater the intensity of the incident light is, the greater is the cutoff frequency. (c) The greater the work function of the target material is, the greater is the stopping potential.
Answer:
(a) The greater the frequency of the incident light is, the greater is the stopping potential.
Explanation:
The stopping potential is crucial to terminate the braking of the photoemitted electrons, stopping the current completely.
Since the kinetic energy of electrons depends on the light's incidence frequency (rather than the intensity), therefore, the stopping potential is proportional to the light's incidence frequency.
The cutoff frequency, in turn, is a limiting frequency below which no photoelectric effect occurs. The cutoff frequency depends on the material from which it is made the emitting surface (and its work function).
In what state must matter exist for fusion reactions to take place
Answer:
Plasma
Explanation:
For a fusion reaction to take place, there must be conditions in which the particles have extreme thermal kinetic energies, in this way the collisions that cause the nuclear fusion are generated. Therefore, it is necessary to reach very high temperatures, in which the state of matter will necessarily be plasma.
You’re responsible for server room security. You’re concerned about physical theft of computers. Of the following, which would best be able to detect theft or attempted theft?
A) Motion-sensor activated cameras
B) Smart card access to the server rooms
C) Strong deadbolt locks for server rooms
D) Logging everyone who enters the server room
Answer:
A) Motion-sensor activated cameras
Explanation:
Motion sensor activated cameras are the ones which actuate a trigger when any sort of motion is detected by them. They can play alarming sound, send e-mails and zoom the frame of motion as a response to the detected motion.
Motion sensor cameras can be of two types:
1. Fixed view camera
2. Rotating view camera
Fixed view cameras are in fixed position and they always point in the same direction for the view while the rotating cameras are the ones which can change their direction of view.
For a small and high security space we can use the fixed type camera so that we do not miss any suspicious movements. For wide areas and distant vision we use rotating cameras.
You observed three different star clusters and found that the main-sequence turnoff stars in cluster 1 had spectral type A, the main-sequence turnoff stars in cluster 2 had spectral type B, and the main-sequence turnoff stars in cluster 3 had spectral type G. Which star cluster is the oldest
The oldest star cluster is cluster 2, which has B type main-sequence turnoff stars. These stars are cooler and less massive, implying that they have been burning their hydrogen fuel longer than the A and G types in the other clusters.
Explanation:The age of a star cluster can be determined by the spectral type of its main-sequence turnoff stars. In the main sequence, stars with higher masses tend to burn out faster because they deplete their hydrogen fuel more quickly. When these stars fuse all their hydrogen, they leave the main sequence, becoming red giants. This point is the 'turn-off' point.
Spectral type is related to a star's mass and temperature. Type A stars are hotter and more massive than type G, who are in turn hotter and more massive than type B. As a result, cluster 1 with the A type turn-off stars is the youngest, followed by the G type in cluster 3 and finally, the B type in cluster 2 is the oldest.
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The oldest star cluster can be determined by looking at the main-sequence turnoff point in an H-R diagram. In this case, the cluster with main-sequence turnoff stars of spectral type G is the oldest.
Explanation:The main-sequence turnoff point in an H-R diagram is a key indicator of the age of a star cluster. The turnoff point represents the stage at which stars begin to leave the main sequence and evolve into red giants. In general, the lower the turnoff point, the older the cluster. Therefore, based on the given information, cluster 3 with main-sequence turnoff stars of spectral type G is the oldest.
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Water is pumped through a pipe of diameter 15.0 cm, from the Colorado River up to Grand Canyon Village, located on the rim of the canyon. The river is at an elevation of 564 m, and the village is at an elevation of 2096 m. What is the minimum pressure at which the water must be pumped if it is to arrive at the village?
Answer:
p= 1.50289×10⁷ N/m²
Explanation:
Given
HA = (564 m)................(River Elevation)
HB = (2096 m).............(Village Elevation)
Area = A =(π/4){Diameter}² = (π/4){0.15 m}² = 0.017671 m²
ρ = (1 gram/cm³) = (1000 kg/m³)........(Water Density)
p(pressure)=?
Solution
p=PA - PB
p= ρ*g*HB - ρ*g*HA
p= (ρ*g)*(HB - HA)
p= (1000×9.81 )×{2096 - 564}
p= 1.50289×10⁷ N/m²
Some substances have the same chemical composition, but their atoms are arranged differently. A classic example is carbon. A pencil lead is made of graphite, which contains only carbon atoms. A diamond also contains only carbon atoms. However, the carbon atoms in a diamond are packed more closely together. Would you expect the density of graphite and a diamond to be the same? Explain your answer.
Answer: No, because the atoms are arranged differently. Looking at 100 atoms in each sample, the volume would be smaller in a diamond, because the atoms are packed more closely together. The density of a diamond would be higher.
Explanation:
Final answer:
Graphite and diamond have different densities due to the varied arrangements of carbon atoms in their structures, with diamonds being denser and harder due to a three-dimensional bond network.
Explanation:
The difference in density between graphite and diamond can be attributed to the variation in how carbon atoms are arranged in these two allotropes of carbon. Graphite has a layered structure with weak bonds between each layer, allowing the sheets to easily slip past each other, leading to its softer structure and lower density.
In contrast, diamonds have carbon atoms bonded together in all three dimensions, creating a dense, strong lattice, which is why diamonds are very hard and have a higher density compared to graphite.
Transmission of Borrelia burgdorferi is most likely to occur after a tick feeds a minimum of _______ hours
Answer:
36 hours
Explanation:
Transmission of Borrelia burgdorferi is most likely to occur after a tick feeds a minimum of 36 hours.
The infected ticks are most likely to transmit infection after approximately 2 or more days after feeding. If it remains unchecked, the B. Burgdorferi may trigger systemic infection by passing through the bloodstream and being rooted in different body tissues.
what are the charge and the charge density on the surface of a conducting sphere of radius 0.15 m whose potantial is 200v?
Answer:
The charge and the charge density on the surface of a conducting sphere is [tex]3.34\times 10^{-9}\ C[/tex] and [tex]1.18\times 10^{-8}\ C/m^2[/tex] respectively.
Explanation:
It is given that,
Radius of the conducting sphere, r = 0.15 m
Potential, V = 200 V
Potential on the surface of sphere is given by :
[tex]V=\dfrac{kq}{r}[/tex]
q is the charge on the sphere
[tex]q=\dfrac{Vr}{k}[/tex]
[tex]q=\dfrac{200\times 0.15}{9\times 10^9}[/tex]
[tex]q=3.34\times 10^{-9}\ C[/tex]
Charge per unit area is called charge density on the surface. it is given by :
[tex]\sigma=\dfrac{q}{A}[/tex]
[tex]\sigma=\dfrac{q}{4\pi r^2}[/tex]
[tex]\sigma=\dfrac{3.34\times 10^{-9}}{4\pi (0.15)^2}[/tex]
[tex]\sigma=1.18\times 10^{-8}\ C/m^2[/tex]
So, the charge and the charge density on the surface of a conducting sphere is [tex]3.34\times 10^{-9}\ C[/tex] and [tex]1.18\times 10^{-8}\ C/m^2[/tex] respectively. Hence, this is the required solution.
Final answer:
The charge on the conducting sphere with a radius of 0.15 m and a potential of 200V is approximately 3.34 × 10⁻⁶ C, and the surface charge density is approximately 1.18 × 10⁻⁵ C/m².
Explanation:
To find the charge (q) and the surface charge density (σ) on the surface of a conducting sphere with a given potential (V), we can use the relationship between potential, charge, and radius of a sphere, along with the equation that relates charge to surface charge density.
The potential (V) of a conducting sphere is given by V = (k × q)/R, where k is Coulomb's constant (k = 8.99 × 10⁹ N.m²/C²), q is the charge on the sphere, and R is the radius of the sphere.
In this case, V = 200V and R = 0.15m. Using the formula, we can find the charge q on the sphere:
V = (k × q)/R
200V = ((8.99 × 109 N.m²/C²) × q)/0.15m
q = (200V × 0.15m)/(8.99 × 10⁹ N.m²/C²)
q ≈ 3.34 × 10⁻⁶ C
Once we have q, we can use the equation q = σ(4πR2) to find the surface charge density σ:
σ = q / (4πR²)
σ ≈ 3.34 × 10⁻⁶ C / (4π × (0.15m)²)
σ ≈ 1.18 × 10⁻⁵ C/m²
If you hold a bar magnet in each hand and bring your hands together, will the force be attractive or repulsive if the magnets are held:
a) with the two north poles together?
b) with a north pole and south pole together?
a) The force is repulsive
b) The force is attractive
Explanation:
Every magnet has a magnetic field around it. It is possible to distinguish two different poles in the magnet, according to the direction of the magnetic field: in particular, the lines of the field go out from the North pole and go into the South Pole. When a magnet is broken, two new magnets are formed, each of them having its own north and south pole.
The force between two magnets can be either attractive or repulsive, depending on which poles are facing each other. We have the following situation:
The magnetic force between two like poles (north-north and south-south) is repulsiveThe magnetic force between two opposite poles (north-south) is attractiveTherefore, we have the following situations in this problem:
a)
Here we are holding the two north poles together: since they are like poles, they repel each other, so the force in this case is repulsive
b)
Here we are holding a north pole and a south pole together: since they are opposite poles, they attract each other, so the force in this case is attractive
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A 57 kg skier starts from rest at a height of H = 27 m above the end of the ski-jump ramp. As the skier leaves the ramp, his velocity makes an angle of 28° with the horizontal. Neglect the effects of air resistance and assume the ramp is frictionless.
(a) What is the maximum height h of his jump above the end of the ramp?
(b) If he increased his weight by putting on a backpack, would h then be greater, less or, the same?
Answer:
(a)[tex]h=5.95m[/tex]
(b) h is the same
Explanation:
According to the law of conservation of energy:
[tex]E_i=E_f\\U_i+K_i=U_f+K_f[/tex]
The skier starts from rest, so [tex]K_i=0[/tex] and we choose the zero point of potential energy in the end of the ramp, so [tex]U_f=0[/tex]. We calculate the final speed, that is, the speed when the skier leaves the ramp:
[tex]mgH=\frac{mv^2}{2}\\v=\sqrt{2gH}\\v=\sqrt{2(9.8\frac{m}{s^2})(27m)}\\v=23\frac{m}{s}[/tex]
Finally, we calculate the maximum height h above the end of the ramp:
[tex]v_f^2=v_i^2-2gh\\[/tex]
The initial vertical speed is given by:
[tex]v_i=vsin\theta[/tex]
and the final speed is zero, solving for h:
[tex]h=\frac{v_i^2}{2g}\\h=\frac{((23\frac{m}{s})sin(28^\circ))^2}{2(9.8\frac{m}{s^2})}\\h=5.95m[/tex]
(b) We can observe that the height reached does not depend on the mass of the skier
A conveyor belt at a quarry lifts 1,800 kg of sand per minute up a vertical distance of 9.5 meters. The sand is initially at rest, then moves at a speed of 0.28 m/s along the conveyor belt. What is the instantaneous power generated by this machine?
2.8 kW
1.0 kW
3.9 kW
890 W
Answer:
The power of the quarry belt is, P = 2.8 kW
Explanation:
Given data,
The mass of the sand, m = 1800 kg
The displacement of the quarry belt, s = 9.5 m
The initial velocity of the sand, u = 0
The final velocity of the sand, v = 0.28 m/s
The acceleration of the belt, a = (v-u)/ t
= 0.28/10
= 0.028 m/s²
The net force acting on the quarry belt is,
F = mg + ma
= m (g +a)
= 1800 (9.8 + 0.028)
= 17690 N
The work done by the quarry belt,
W = F S
= 17690 x 9.5
= 168058 N
The power of the quarry belt,
P = W / t
= 168058 / 60
= 2800 W
= 2.8 kW
Hence, the power of the quarry belt is, P = 2.8 kW
Your car is stalled in the middle of a large patch of ice (assumed to be frictionless). You have a friend that has thrown a rope to you and you attach it to the car.Your friend then applies a continuous horizontal force of 550 N to you and the car. If you and the car have a total mass of 1430 kg, how long will it take for you to reach
Answer:
The time depends on the distance that they have to travel
[tex]x(t) = \frac{0.3846t^{2} }{2}[/tex]
Explanation:
The only horizontal force exerts over the car and you, it is the force that your friend is applied
Newton's Second Law of Motion defines the relationship between acceleration, force, and mass, thus
[tex]\sum{F} = ma[/tex]
550 = 1430a
a = 0.3846 m/s2
The car and you have a motion under constant acceleration, then theirs position to a time-based is:
[tex]x(t) = x_{0} + v_{0}t +\frac{at^{2} }{2}[/tex]
By the initial conditions
[tex]x(t) = \frac{at^{2} }{2}[/tex]
[tex]x(t) = \frac{0.3846t^{2} }{2}[/tex]
The time depends on the distance that they have to travel
If the mass of the block is too large and the block is too close to the left end of the bar (near string B) then the horizontal bar may become unstable (i.e., the bar may no longer remain horizontal). What is the smallest possible value of x such that the bar remains stable (call it xcritical)
Final answer:
The question is related to determining the critical value of x, or xcritical, that ensures a bar with a heavy block remains stable by balancing torques around the pivot point.
Explanation:
The question asks about stability conditions in a physical system involving a block on a bar and requires the application of concepts such as the center of mass, force equilibrium, and tension. When the mass of the block is too large and positioned too close to the left end of the horizontal bar, the system may become unstable, potentially causing the bar to tilt. To determine the smallest value of x, denoted as xcritical, we must set up equations considering the torques about the pivot point, ensuring that the sum of torques must equal zero for stability. This involves calculating the torques due to the weight of the bar, the weight of the block, and any other forces acting on the system. The position of the center of mass of the bar is crucial as it influences the bar's propensity to rotate and the distribution of weight. Hence, xcritical is that specific distance at which the torques balance each other out, and the system remains in a stable, horizontal state.
Someone plans to float a small, totally absorbing sphere 0.500 m above an isotropic point source of light,so that the upward radiation force from the light matches the downward gravitational force on the sphere. The sphere’s density is 19.0 g/cm3, and its radius is 2.00 mm. (a) What power would be required of the light source?
Answer:
468449163762.0812 W
Explanation:
m = Mass = [tex]\rhoV[/tex]
V = Volume =[tex]\dfrac{4}{3}\pi r^3[/tex]
r = Distance of sphere from isotropic point source of light = 0.5 m
R = Radius of sphere = 2 mm
[tex]\rho[/tex] = Density = 19 g/cm³
c = Speed of light = [tex]3\times 10^8\ m/s[/tex]
A = Area = [tex]\pi R^2[/tex]
I = Intensity = [tex]\dfrac{P}{4\pi r^2}[/tex]
g = Acceleration due to gravity = 9.81 m/s²
Force due to radiation is given by
[tex]F=\dfrac{IA}{c}\\\Rightarrow F=\dfrac{\dfrac{P}{4\pi r^2}{\pi R^2}}{c}\\\Rightarrow F=\dfrac{PR^2}{4r^2c}[/tex]
According to the question
[tex]F=mg\\\Rightarrow \dfrac{PR^2}{4r^2c}=\rho \dfrac{4}{3}\pi R^3g\\\Rightarrow P=\dfrac{16r^2\rho c\pi Rg}{3}\\\Rightarrow P=\dfrac{16\times 0.002\times 19000\times \pi\times 0.5^2\times 9.81\times 3\times 10^8}{3}\\\Rightarrow P=468449163762.0812\ W[/tex]
The power required of the light source is 468449163762.0812 W
Final answer:
To calculate the power required of the light source, you need to find the upward radiation force exerted on the sphere, which should match the downward gravitational force acting on the sphere. The power is given by P = I * A.
Explanation:
To calculate the power required of the light source, we first need to find the upward radiation force exerted on the sphere, which should match the downward gravitational force acting on the sphere. The radiation force is given by the formula:
Fr = (P / c)A
where Fr is the radiation force, P is the power of the light source, c is the speed of light, and A is the cross-sectional area of the sphere.
Since the sphere is totally absorbing, all the light incident on it is absorbed, so the intensity of the light is given by:
I = P / A
where I is the intensity of the light. Rearranging the equation, we get:
P = I * A
Substituting the value of A for the area of the sphere, we can find the power required.
We have seen in lab that when adhesive tape is pulled from a dispenser, the detached tape has a positive charge. If the tape pulled from the dispenser was electrically neutral before it was pulled, and if it has 0.14 microcoulombs of charge per centimeter after being pulled, approximately what length of tape must be pulled if a total of 1.8 10^13 electrons are transferred during the pulling ?
Answer:
20.6 cm
Explanation:
charge per cm = 0.14 μC
number of electrons (e) = [tex]1.8 x 10^{13}[/tex]
to get the length of tape pulled we can apply the formula below
length of tape = [tex]\frac{magnitude of charge of the electrons}{charge per cm}[/tex]
therefore we need to find the magnitude of the charge of the electrons
1 electron = [tex]1.602 x 10^{-19}[/tex] C[tex]1.8 x 10^{13} electrons = 1.8 x 10^{13} x 1.602 x 10^{-19} = 2.88μC}[/tex]
now that we have the magnitude of the charge, we can find the length of the tape
length of the tape = [tex]\frac{2.88}{0.14}[/tex] = 20.6 cmA length of 20.6 cm of tape must be pulled if a total of 1.8 × 10^13 electrons are transferred during the pulling, given that the tape acquires 0.14 microcoulombs of charge per centimeter.
Explanation:To find out what length of tape must be pulled if a total of 1.8 × 10^13 electrons are transferred during the pulling, we first need to determine the total charge in coulombs transferred to the tape. Since each electron has a charge of approximately -1.602 × 10^-19 coulombs, we can multiply this value by the number of electrons to get the total charge:
Total charge = Number of electrons × Charge per electron = 1.8 × 10^13 × -1.602 × 10^-19 C = -2.8836 × 10^-6 C.
Since the charge is negative and we are looking for the positive charge transferred to the tape, we take the absolute value of this charge. Now, given that each centimeter of tape acquires 0.14 microcoulombs (or 0.14 × 10^-6 C), we can divide the total charge by the charge per centimeter to find the length of the tape:
Length of tape = Total charge / Charge per cm = 2.8836 × 10^-6 C / (0.14 × 10^-6 C/cm) = 20.6 cm
Therefore, a length of 20.6 cm of tape must be pulled to have 1.8 × 10^13 electrons transferred to it, assuming the tape was electrically neutral before being pulled.
For every _______ over 50 mph, your chances of being seriously injured, disfigured, or killed are doubled.
Answer:
10 mph
Explanation:
Exceeding speed limit is one of the major causes of road accident.Crash severity increases with the speed of the vehicle at impact.The probability of death, disfigurement, or debilitating injury grows with higher speed at impact.The above consequences double for every 10 mph over
50 mph that a vehicle travels.
Answer:
10 mph
Explanation:
Exceeding speed limit is one of the major causes of road accident.
Crash severity increases with the speed of the vehicle at impact.
The probability of death, disfigurement, or debilitating injury grows with higher speed at impact.
The above consequences double for every 10 mph over
50 mph that a vehicle travels
Explanation:
Transform active margins are associated with which type of boundary? Convergent Transform Divergent
Answer:
Transform active margins are associated with which type of boundary?
Transform boundary
Explanation:
The transform boundary is a boundary where one plates(crust) slides past another plate horizontally. This kind of plate movement have been detected to exist between the interaction of the North pacific plates(continental plate) and the pacific plates(oceanic plates) .
At the transform margin the crust are usually broken. But overall crust are neither created nor destroyed . The transform margin region are active as it is marked by shallow-focus earthquakes .
Along the fractured zone where this transform movement occurs is known to create extensive transform faults .Notable transform fault that exist in this kind of boundary(transform) is the San Andrea fault and Alpine Fault.
The motion of this plates can occur on a single fault or on a group of faults.
A Ping-Pong ball moving East at a speed of 4 m/s collides with a stationary bowling ball. The Ping-Pong ball bounces back to the West, and the bowling ball moves very slowly to the East. Which object experiences the greater magnitude impulse during the collision?A car hits another and the two bumpers lock together during the collision. Is this an elastic or inelastic collision?In a game of pool, the white cue ball hits the #5 ball and stops, while the #5 ball moves away with the same velocity as the cue ball had originally. The type of collision is...In an inelastic collision, the final total momentum is...When a cannon fires a cannonball, the cannon will recoil backward because the.....
Answer:
Explanation:
During any collision whether elastic or inelastic, force of action and reaction are generated at the point of touch for a brief period during which they remain in touch with each other. These action and reaction forces are equal and opposite. Impulse is defined by force multiplied by time duration . Hence we can say that during any collision , the impulse generated are equal and opposite .
In inelastic collision , colliding objects coalesce with each other . Hence in the given case , collision is inelastic.
In elastic collision , when an object collides with a similar object at rest , there is exchange of velocity . In the given case also , similar objects are colliding and exchange of velocity is taking place.So it is an example of elastic collision.
In an inelastic collision , momentum is conserved. So final total momentum is equal to initial total momentum.
When a cannon fires a cannonball, the cannon will recoil backward because the total momentum is conserved.
A physics professor did daredevil stunts in his spare time. His last stunt was an attempt to jump across a river on a motorcycle. The takeoff jump was inclined at 53.0 degrees, the river was 40.0 m wide, and the far bank was 15.0m lower than the top of the ramp. The river itself was 100 m below the ramp. You can ignore air resistance.
a. What should his speed have been at the top of the ramp to have just made it to the edge of the far bank?
b. If his speed was only half the value found in (a), where did he land?
Answer:
a) 17.8 m/s
b) 28.3 m
Explanation:
Given:
angle A = 53.0°
sinA = 0.8
cosA = 0.6
width of the river,d = 40.0 m,
the far bank was 15.0 m lower than the top of the ramp h = 15.0 m,
The river itself was 100 m below the ramp H = 100 m,
(a) find speed v
vertical displacement
[tex]-h= vsinA\times t-gt^2/2[/tex]
putting values h=15 m, v=0.8
[tex]-15 = 0.8vt - 4.9t^2[/tex] ............. (1)
horizontal displacement d = vcosA×t = 0.6×v ×t
so v×t = d/0.6 = 40/0.6
plug it into (1) and get
[tex]-15 = 0.8\times40/0.6 - 4.9t^2[/tex]
solving for t we get
t = 3.734 s
also, v = (40/0.6)/t = 40/(0.6×3.734) = 17.8 m/s
(b) If his speed was only half the value found in (a), where did he land?
v = 17.8/2 = 8.9 m/s
vertical displacement = [tex]-H =v sinA t - gt^2/2[/tex]
⇒ [tex]4.9t^2 - 8.9\times0.8t - 100 = 0[/tex]
t = 5.30 s
then
d =v×cosA×t = 8.9×0.6×5.30= 28.3 m
Which pairing of terms is incorrectly related? Which pairing of terms is incorrectly related? amplitude of a sound: intensity of the sound frequency of sound waves: number of wavelengths quality of a sound: frequency of the sound frequency of sound waves: loudness of the sound
Explanation:
Here some of the pairs of terms are given. We need to find the incorrect relation. The relation are as follows :
1. amplitude of a sound: intensity of the sound
2. frequency of sound waves: number of wavelengths
3. quality of a sound: frequency of the sound
4. frequency of sound waves: loudness of the sound
The intensity of sound is directly proportional to the square of its amplitude. So, relation 1 is correct.
If f is the frequency and [tex]\lambda[/tex] is the wavelength. Speed of sound wave is,
[tex]v=f\lambda[/tex]
So, relation 2 is correct.
The quality of sound wave depends on its amplitude. So, relation 3 is not correct.
The vibration depends on two factors i.e amplitude and the frequency. The loudness of sound depends on the amplitude of wave. So, relation 4 is incorrect.
The incorrectly related pair in the given set is "quality of a sound: frequency of the sound" because it is the unique combination of frequencies and intensities, and not only the frequency, that determines the quality (timbre) of a sound.
Explanation:In the provided set of term pairs, the pairing "quality of a sound: frequency of the sound" is incorrectly related. While the frequency of a sound wave indeed influences the pitch of a sound, it doesn't determine the quality (or timbre) of the sound directly. The timbre of a sound is determined by the unique set of frequencies and intensities produced by a musical instrument or a voice, not by the frequency of the sound alone.
On the other hand, aspects like the "amplitude of a sound: intensity of the sound" and "frequency of sound waves: number of wavelengths" are correctly related. Larger-amplitude waves indicate greater pressure maxima and minima, thus higher intensity sounds. Similarly, the frequency is related to the number of wavelengths that pass in a given amount of time.
The pair "frequency of sound waves: loudness of the sound" can be both correct and incorrect depending on interpretation. Loudness is perceived volume and is influenced by both intensity and frequency. At the same frequency, greater intensity equates to more loudness. However, if the frequency changes without adjusting intensity, it can affect our perceived volume due to the varying sensitivity of human ears at different frequencies. Thus, frequency alone does not specify 'loudness'
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On the planet Zorb, the acceleration due to gravity is 10 meters per second squared. If you were to launch a projectile at an angle of 30 degrees with an initial velocity of 10 meters per second, in seconds, how long would it take for the projectile to fall to the ground?
Answer:
The time taken by the projectile to fall to the ground is 1 second.
Explanation:
It is given that,
Acceleration due to gravity on the planet Zorb, [tex]a=10\ m/s^2[/tex]
Angle of projectile is 30 degrees
Initial velocity of the projectile, u = 10 m/s
Let t is the time taken for the projectile to fall to the ground. Using second equation of motion to find it
[tex]h=u\ sin\theta t+\dfrac{1}{2}at^2[/tex]
When it fall to the ground, h = 0 and a = -g
[tex]10\ sin(30)t-\dfrac{1}{2}\times 10t^2=0[/tex]
On solving the above quadratic equation, we get the value of t as,
t = 1 second
So, the time taken for the projectile to fall to the ground is 1 second. Hence, this is the required solution.
If you experience __________, do not use brakes, concentrate on steering, slow down gradually, brake softly when the car is under control, and pull completely off the pavement.
Answer:
Tire blowout
Explanation:
Tire Blowout
A tire experiences a blowout when it rapidly and explosively loses the inflation pressure. It can happen when some sharp object cuts or tears the surface and the air is suddenly released, making things worse.
The driver frequently loses control of the traveling direction and can be involved in serious accidents. It is recommended not to use brakes during or after the blowout because it could bring little help or make things worse.
Focusing on steering and let the vehicle softly brake.
help plEASE
1. if you push a ball and it rolls down a ramp, is it gravitational to kinetic energy?
2. if a ball that is rolling down a ramp hits a wedge that moves and pushes a car, it is kinetic to gravitational energy?
Answer:
1) It will be potential to kinetic energy. 2) kinetic energy is partly transformed into heat and partly spent in generating elastic waves within the two colliding bodies.
Explanation:
We have to first understand the principle of energy conservation and that it is that energy is transformed from one form to another, from potential energy to kinetics or vice versa. When a body is immobile at a height relative to a reference point it is said that at that height the body has potential energy, as the reference point is taken as a point where all potential energy is zero and has been transformed into kinetic energy
1)
In the moment when the ball is in the highest point of elevation with respecto to the reference point the potential energy will be:
[tex]E_{p} =m*g*h\\where:\\E_{p}= potential energy [J]\\m= mass [kg]\\h=elevation [m], respect to the reference point or level[/tex]
When the ball is in the lowest point the energy is kinetic and it will be defined by:
[tex]E_{k} =E_{p}\\E_{k} =\frac{1}{2}*m*v^{2} \\where:\\E_{k} =kinetic energy [J]\\v= velocity of the body [m/s][/tex]
2)
When the ball is rolling and moving with a velocity and hits a wedge it will be kinetic energy transformed into kinetic energy but with less amount of the initial energy because the lost kinetic energy is partly transformed into heat and partly spent in generating elastic waves within the two colliding bodies.
What happens to the amount of kinetic energy if the mass is tripled at constant speed?
Answer:
If the mass is tripled, the kinetic energy is also tripled
Explanation:
Kinetic Energy: This is the energy possessed by a body due to motion.
The S.I unit of kinetic energy is Joules.
Mathematically it can be represented as,
Ek = 1/2mv²................ Equation 1
Where Ek = kinetic energy, m = mass, v = velocity of the body.
From the equation above,
(i) Kinetic Energy is directly proportional to mass
(ii) Kinetic energy is directly proportional to velocity squared.
When the mass is tripled,
Ek₁ = 3/2mv².................... Equation 2
Comparing equation 1 and 2,
Ek₁ = 3×Ek
Therefore if the mass is tripled, the kinetic energy is also tripled
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Explanation:
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Find the rate of change for x3. You need to work out the change in f(x)=x3 when x is increased by a small number h to x+h. So you will work out f(x+h)-f(x). Then do some algebra to simplify this. Then divide this by h to get the average rate of change of f(x) between x and x+h.
Answer:
Explanation:
Given
[tex]F(x)=x^3[/tex]
Rate of change of F(x) is given by
[tex]F'(x)=\lim_{h\rightarrow 0}\\\frac{F(x+h)-F(x)}{x+h-x}[/tex]
[tex]F'(x)=\lim_{h\rightarrow 0}\\\frac{(x+h)^3-x^3}{h}[/tex]
[tex]F'(x)=\lim_{h\rightarrow 0}\\\frac{x^3+h^3+3x^2h+3xh^2-x^3}{h}[/tex]
[tex]F'(x)=\lim_{h\rightarrow 0}\\\frac{h^3+3x^2h+3xh^2}{h}[/tex]
[tex]F'(x)=\lim_{h\rightarrow 0}\\h^2+3x^2+3xh[/tex]
Putting limits
[tex]F'(x)=3x^2[/tex]
The average rate of change will be "3x²".
Average rate of changeAccording to the question,
The function, f(x) = x³
then,
f(x + h) = (x + h)³
Now,
→ f(x + h) - f(x) = (x + h)³ - x³
= x³ + h³ + 3x²h + 3xh² - x³
= h³ + 3x²h + 3xh²
and,
→ [tex]\frac{f(x+h) -f(x)}{h}[/tex] = [tex]\frac{h^3+3x^2h+3xh^2}{h}[/tex]
= [tex]\frac{h[h^2+3x^2+3xh]}{h}[/tex]
= h² + 3x² + 3xh
By applying the limit, we get
→ [tex]\lim_{h \to 0} \frac{f(x+h)-f(x)}{h}[/tex] = [tex]\lim_{h \to 0}[/tex] h² + 3x² + 3xh
By substituting the values,
= 0² + 3x² + 3x(0)
= 3x²
Thus the above approach is correct.
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Kenneth ran a marathon (26.2 miles) in 5.5 hours. What was Kenneth’s average speed? (Round your answer to the nearest tenth.)
Answer:
Explanation:
Speed: Speed can be defined as the ratio of distance to time. The S. I unit of speed is m/s. And it is expressed mathematically as,
speed = distance/time
S = d/t............................. Equation 1
Conversion: (i) If 1 miles = 1609.344 m,
then, 26.2 miles = 1609.344× 26.2
= 42164.813 m.
(i) if 1 hours = 3600 seconds,
then, 5.5 hours = 5.5×3600
=19800 seconds.
Given: d = 26.7 miles= 42164.813 m, t = 5.5 hours = 19800 seconds
Substituting these values into equation 1
S = 42164.813/19800
S = 2.1 m/s.
Therefore Kenneth's average speed = 2.1 m/s
Answer:4.8 mph on edge
Explanation: have a great day :)
how many seconds of space should you keep between you if you're driving a 100 foot truck 30 mph?
Answer:
The space in seconds that will be kept = 2.27 seconds
Explanation:
S = d/t..................... Equation 1
making t the subject of formula in the equation above,
t = d/S.................... Equation 2
Where S = speed, d = distance, t = time.
Conversion: (i)if 1 mph = 0.44704 m/s,
then, 30 mph = 30×0.44704
= 13.41 m/s
(ii) If 1 foot = 0.3048 m
then, 100 foot = 30.48 m.
Given: S = 30 mph = 13.41 m/s, d = 100 foot = 30.48 m
Substituting these values into equation 2
t = 30.48/13.41
t = 2.27 seconds.
Therefore the space in seconds that will be kept = 2.27 seconds
Difference between global warming and climate change
Answer:
Global warming refers only to the Earth’s rising surface temperature, while climate change includes warming and the “side effects”
When light energy hits the retina, the retinal changes from a _____ to a _____ configuration.
Answer:
Cis, Trans.
Explanation:
Rhodopsin also known as visual purple, pigment which contains sensory protein that helps to convert light into an electrical signal. Rhodopsin present in wide range of organisms from bacteria to vertebrates.
Rhodopsin is composed of opsin, and 11-cis-retinaldehyde which is derived from vitamin A. When the eye contact with light the 11-cis component converted to all trans-retinal, which results in the changes in configuration fundamental in the rhodopsin molecule.