2. A 14.8-kg child sits in a 1.30-kg swing. You pull the swing back, lifting it 52.1 cm vertically, and then let go. Determine the speed of the child and swing as the swing moves past its lowest point.
To answer this problem, we have to define the two energies, Potential and Kinetic Energy.
Initially when the child is at rest at 52.1 cm, the potential energy PE is at its highest.
PE = m g h
Where,
m = total mass = 14.8 kg + 1.30 kg = 16.10 kg
g = gravitational acceleration = 9.8 m /s^2
h = height = 52.1 cm = 0.521 m
Computing for PE:
PE = 16.10 * 9.8 * 0.521
PE = 82.29 N
As the swing moves past its lowest point h = 0, then all PE is converted to Kinetic Energy KE. Therefore, at lowest point
KE = 82.29
KE = 0.5 m v^2
0.5 (16.10) v^2 = 82.29
v = 3.20 m/s
Electromagnetic force occurs when
A.Atoms in the field lose an electron.
B.An electromagnetic field interacts with charged particles.
C.Atoms gain an electron.
D.Electromagnetic fields gain proto
Answer:
B.An electromagnetic field interacts with charged particles.
Explanation:
As we know that electromagnetic field is the combination of electric field and magnetic field both.
If the electric field or magnetic will interact with charge particle then due to interaction of charge particles with the field there is force on the charge particle which is given as
for electric field
[tex]F = qE[/tex]
for magnetic field
[tex]F = q(v \times B)[/tex]
so in both cases the charge particle will have interaction with magnetic field or electric field
so correct answer would be
B.An electromagnetic field interacts with charged particles.
Electromagnetic force occurs when an electromagnetic field interacts with charged particles. The correct option is (B).
When charged particles interact with an electromagnetic field, electromagnetic force results. Along with gravity, the weak nuclear force, and the strong nuclear force, this force is one of the four fundamental forces of nature.
Electric charges or electric currents cause an electromagnetic field to form. When charged particles, such as electrons or protons, are near an electromagnetic field, the interaction between their charge and the field causes them to feel a force.
The electromagnetic force is given by:
F = q(E + v×B)
Many commonplace phenomena and technology applications are fundamentally influenced by electromagnetic force. It is in charge of numerous electromagnetic phenomena, including interactions between charged particles, electrical circuit behavior, the creation of magnetic fields, and many more.
Hence, electromagnetic force occurs when an electromagnetic field interacts with charged particles. The correct option is (B).
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820 mol of hydrogen gas hydrogen gas has a volume of 2.00 l at a certain temperature and pressure. what is the volume of 0.125 mol of this gas at the same temperature and pressure
To solve this problem, let us first assume that the hydrogen gas acts like an ideal gas. So that we can make use of the ideal gas equation:
P V = n R T
where P is the pressure, V is the volume, n is the number of moles, R is the universal gas constant and T is the absolute temperature
Since it is given that T and P is constant therefore we can write the equation as:
V / n = k
So equating the two conditions:
V1 / n1 = V2 / n2
We can now solve for the new V2 given n2 = 0.125:
2 L / 820 mol = V2 / 0.125 mol
V2 = 3.05 x 10^-4 L
The new volume is about 3.05 x 10^-4 L which is equivalent to 0.3 mL
When riding your dirt bike you run into a tree which causes your bike to immediately come to a stop. You fly over the handle bars and land a few feet away on the ground. Which law of motion is being described in this scenario?
A.Law of Universal Gravitation
B.Newton's Second Law of Motion
C.Law of Conservation of Energy
D.Newton's First Law of Motion
Answer:
D). Newton's First Law of Motion
Explanation:
This is the explanation of Newton's First law or Law of inertia.
As per this law if there is no unbalanced force on a system then they system will always maintain its state of motion.
Or in other words we can say that if there is no force then the object will always maintain its state of motion i.e. if object is in motion then it will continue in motion and if object is in rest then it will continue at rest
So here when bike immediately stops then due to this law our body will continue its state and move off from the bike and fly away on the ground at some distance away.
So here correct answer will be
D). Newton's First Law of Motion
What is the magnitude of the relativistic momentum of a proton with a relativistic total energy of 2.7 3 10210 j?
The equation that is applicable to this problem is expressed as
p = γmu
where p is the relativistic momentum, m is equal to the proton mass and u is the speed of proton. γ is equal to 1/√(1 - u²/c²) where c is the speed of light.
Another equation to determine p fully is to use this relativistic equation:
E = γmc²
where E is the total kinetic energy including the gamma energy.
We are given with E = 2.7 × 10^(-10) J and from a proton’s data, mc^2 = 938.27201 MeV. Using the conversion from MeV to J which is 1 eV = 1.60218 * 10^(-19) J, we compute for γ
γ=E/mc^2 =2.7 × 10^(-10) J / 938.27201x10^6 eV *(1.60218 * 10^(-19) J/eV) = 1.80
we use this number to determine u from the second equation γ = 1/√(1 - u²/c²)
we square both sides and cross multiply, resulting to
γ² (1 - u²/c²) = 1
u²/c² = (γ² -1)/γ²
u = c/y sq rt of (γ² -1)
u = 0.83
Substituting eventually to the first equation, we get
p = γmu
p = 1.80 * 1.67262 * 10^(-27) kg * 0.83 * 2.99792 * 10^8 m/s
p = 7.481 * 10^(-19) kg.m/s
High-altitude clouds composed of ice crystals are called ____ clouds.
What part of the visible light spectrum produces the most light?
Answer: all colors
.......
The period of time required for the moon to complete a cycle of phases is called the ________ month.
Slow-moving vehicles are prohibited from traveling on expressways or on roadways with a minimum posted speed limit greater than ______and should use the ______ lane of travel on divided highways.
Slow-moving vehicles should not travel on expressways or roads with a speed limit greater than 45 mph and they should utilize the rightmost lane on divided highways.
Explanation:Slow-moving vehicles are generally prohibited from traveling on expressways or on roadways with a minimum posted speed limit greater than 45 miles per hour. This ensures safety as slow-moving vehicles can create dangerous situations if the flow of traffic is substantially faster. On divided highways, there is typically more than one lane for each direction of travel. Slow-moving vehicles are advised to use the rightmost lane, often referred to as the slow lane. This is because the left lane is usually reserved for faster vehicles and passing. Drivers in right lanes at slower speeds have an easier time allowing faster vehicles, which generally use left lanes, to pass safely.
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When you are paddling a canoe, you push the water backwards with your paddle, witch in turn will push you forward. Witch law of motion described in this scenario
When you come within 100 ft of the uncontrolled railroad crossing and you cannot see the tracks for 400 ft in both directions, the speed limit is ____ mph?
The speed limit most typically enforced at uncontrolled railroad crossings in the U.S when visibility of 400 feet in both directions isn't available is 15 mph. This may change according to specific state regulations so drivers must be aware of local laws regarding this.
Explanation:The subject of this question lies within traffic law, more specifically related to railway crossing safety. Traffic regulations often mandate certain behaviors in the interest of maintaining safety, particularly around railway crossings. Although the question does not provide a specific speed limit, given context, I can tell you most states in the U.S stipulate that when motorists are unable to see 400 feet in both directions at an uncontrolled railroad crossing, they should reduce their speed to 15 mph.
However, these laws may vary by region, it is crucial that drivers familiarize themselves with local traffic regulations, always obey posted limits, and show prudence while approaching a railroad crossing.
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A baseball is hit nearly straight up into the air with a speed of 22 m/s. (a) how high does it go? (b) how long is it in the air? neglect air resistance.
To determine how high a baseball goes and how long it is in the air when hit straight up, we use kinematic equations. The maximum height is given by the formula h = V_i^2 / (2g), and the total time in the air is calculated by t = (2V_i) / g.
Explanation:Baseball Trajectory CalculationsA baseball hit straight up into the air with a speed of 22 m/s undergoes uniform accelerated motion due to gravity, which is -9.81 m/s2. To determine how high the baseball goes, we use the kinematic equation h = Vi2 / (2g), where Vi is the initial velocity and g is the acceleration due to gravity. Substituting 22 m/s for Vi and 9.81 m/s2 for g, we can calculate the maximum height the ball reaches.
For part (b), calculating how long the baseball is in the air, we use the kinematic equation t = (2Vi) / g, considering the ball has to go up and then come down, doubling the time it takes to reach the maximum height (as the initial speed going up is the same as the final speed coming down, just with opposite signs).
These equations and methods apply similarly to all projectile motion problems and are useful to address multiple exercises including the determination of initial velocity, time in the air, and maximum height in various scenarios such as a ball kicked with initial components, the range of projectiles, the work done by air resistance, and more.
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Accelerating a car at 4.6 m/s. It takes 10 seconds to reach acceleratuon. Starting velocity is 0 m/s. What is the final velocity?
According to the plate tectonics model, what layers form earth's rigid, mobile plates
Answer:
Crust and Upper Mantle
Explanation:
I am just so smart
While a utility patent protects the way an invention is used and works, a ___ patent protects the way it looks?
PLEASE HELP!!!
You place a book on top of a spring and push down, compressing the spring by 10 cm. When you let go of the book, it is pushed up by the spring. Which statement describes what happens to the energy of the spring-book system?
A. The elastic potential energy of the system decreases.
B. The gravitational potential energy of the system decreases.
C. The kinetic energy of the system decreases.
D. The total energy of the system increases.
Answer:
A
Explanation:
Because its the answer I got on a certain learning site
Work of 2 joules is done in stretching a spring from its natural length to 11 cm beyond its natural length. what is the force (in newtons) that holds the spring stretched at the same distance (11 cm)
Final answer:
To find the force holding a spring stretched at 11 cm, the spring constant is first calculated using the work done to stretch the spring. The spring constant is found to be approximately 330.58 N/m. The force is then calculated as 36.36 N.
Explanation:
The question relates to calculating the force that holds a spring stretched at a particular distance, given the work done to stretch the spring. The work to stretch (or compress) a Hooke's law spring by a displacement x is 0.5kx², where k is the spring constant, and x is the displacement. We know that 2 joules of work is done to stretch the spring 11 cm; we can use this information to calculate the spring constant and then find the force.
First, we convert 11 cm to meters by dividing by 100 to get 0.11 meters. Then, rearrange the spring work formula to solve for k:
W = 1/2 k x^2
2 = 1/2 k (0.11)^2
k = (2 * 2) / (0.11)^2
k = 4 / 0.0121
k = approximately 330.58 N/m
Once we have the spring constant, we can calculate the force that the spring exerts when stretched 11 cm:
F = k x
F = 330.58 N/m * 0.11 m
F = 36.36 N
Therefore, the force that holds the spring stretched at 11 cm is 36.36 N.
how much force is needed to cause a 15 kilogram bike to accelerate at a rate of 10 meters per second?
Answer:
150 Newtons
Explanation:
What is the magnitude of the resultant force, in newtons, acting on an object that has two forces acting in the same direction having magnitudes of 15 newtons and 25 newtons and a third force acting perpendicular to the first two having a magnitude of 30 newtons?
Imagining that the forces form a right triangle (since the 3rd force is acting perpendicularly) then the resultant force can simply be calculated using the hypotenuse formula:
c^2 = a^2 + b^2
Where a and b is equivalent to:
a = 15 N + 25 N = 40 N
b = 30 N
Therefore the resultant force is then calculated:
c^2 = (40 N)^2 + (30 N)^2
c^2 = 1,600 + 900
c^2 = 2,500
c = 50 N
Answer:
To find the magnitude of the resultant force, we can use the Pythagorean theorem and the trigonometric ratios.
First, we need to find the horizontal and vertical components of the two forces acting in the same direction:
Horizontal component = 15 N + 25 N = 40 N
Vertical component = 0 N (since the forces are in the same direction)
Next, we need to find the horizontal and vertical components of the third force acting perpendicular to the first two:
Horizontal component = 0 N (since the force is perpendicular to the other forces)
Vertical component = 30 N
Now, we can find the horizontal and vertical components of the resultant force:
Horizontal component = 40 N + 0 N = 40 N
Vertical component = 0 N + 30 N = 30 N
Using the Pythagorean theorem, we can find the magnitude of the resultant force:
Resultant force = sqrt((40 N)^2 + (30 N)^2)
Resultant force = sqrt(1600 N^2 + 900 N^2)
Resultant force = sqrt(2500 N^2)
Resultant force = 50 N
Therefore, the magnitude of the resultant force is 50 newtons.
Sb-39 according to the navigation rules, what factor should be considered in determining a safe speed?
Answer:
The state of visibilityTrue or false to activate the anti-lock brake system, you must pump the breaks three times
Valerie is preparing a blood sample for analysis. She wants to separate the solid red blood cells and obtain only the liquid portion, called plasma. The red blood cells are too small to filter out, but are denser than the plasma.
Describe the steps Valerie could take to separate the blood sample.
Valerie is preparing a blood sample for analysis. For this purpose, a machine called a centrifuge is used which spins the blood sample to separate the red blood cells, platelets and plasma from blood. As the blood is separated, the heavier reds cells sink to the bottom of the tube and are given back to the person.
What is blood sample analysis?
A test done on a sample of blood is used to measure the amount of certain substances in the blood or to count the different types of blood cells present in the blood sample. Blood tests may be done to look for the signs of disease or agents which cause disease, to check for the antibodies or tumor markers, or to see how well the different treatments are working.
Valerie is preparing a blood sample for the purpose of analysis. First, she should put the blood sample in a test tube and place it in a centrifuge machine. This machine would cause the red blood cells from the blood to move to the bottom of the tube because of their higher density in comparison to other components. Next, Valerie would be able to decant the plasma from the blood and analyze it separately from the red blood cells.
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If you run your boat aground what should you do first
Answer:
Calmly assess the situation and get everyone to don PFDs.To prevent accidental electric shock, most electrical equipment is A. painted. B. isolated. C. coated. D. grounded.
Answer:
Grounded
Explanation:
Three wires are use while wiring and even in appliances. They are live, neutral and earthing wire.
Grounding or earthing is the process through which we safeguard us from electric shock.
The earthing wire is directly connected to a box buried in ground at certain level So any kind of leakage current that can cause shock will directly pass to the ground making equipment and humans safe.
Why can a bridge surface freeze before adjoining road surfaces do?
The bridge surface can freeze before adjoining road surfaces do because of the difference in heat transfer. The bridge loses heat faster due to exposure to the cold air from above and below, while the roads are insulated by the ground.
Explanation:The reason why a bridge surface can freeze before adjoining road surfaces do is due to the difference in heat transfer.
When it is cold outside, the bridge surface is exposed to the cold air from above and below, causing it to lose heat rapidly. On the other hand, the adjoining road surfaces are in contact with the ground, which acts as an insulator and slows down the heat loss.
As a result, the bridge surface reaches the freezing temperature faster than the adjoining road surfaces, leading to the formation of ice on the bridge while the roads remain clear.
The combined weight of the vessel and its engine should not exceed what percentage of the trailer's recommended load capacity?
An activity that is relatively short in time (< 10 seconds) and has few repetitions predominately uses the _____________ energy system.
Scientists have observed that space is expanding between galaxies.
True or False
A car slows down at -5.00 m/s^2 until it comes to a stop after travelling 15.0 m. How much time did it take to stop?
The time it took for the car to stop, given an acceleration of -5.00 m/s^2 and a distance of 15.0 m, is approximately 2.45 seconds.
Explanation:The subject of this question is physics, more specifically the concept of acceleration. Given the car's acceleration is -5.00 m/s^2 (negative because it is slowing down) and it traveled a distance of 15.0 m, we can use the equation of motion to find the time it took for the car to stop. The equation that suits this situation best is d = ut + 0.5at^2. In this case, the initial velocity (u) is what we need to find first.
Assuming that the acceleration was constant, we can apply the third equation of motion:
v^2 = u^2 + 2as
We have v (final velocity) = 0 m/s (since the car stops), a = -5.00 m/s^2, and s = 15.0 m. Solving this equation for u (initial velocity) gives u = sqrt(v^2 - 2as) = sqrt(0 - 2 * -5 * 15) = sqrt(150) = ~12.25 m/s. Using this initial velocity value, we can now find the time it took for the car to stop using the first equation of motion (v = u + at). We know v = 0, u = ~12.25 m/s, and a = -5.00 m/s^2. Solving this for time (t), we have t = (v - u) / a = (0 - 12.25) / -5 = ~2.45 seconds.
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Nina is working with electricity and shortens the wires through which the current is flowing. What is Nina most likely trying to accomplish?
A convert electric energy to heat
B convert electric energy to light
C increase resistance
D decrease resistance
Resistance is directly propotional to the length of the wire. It is denoted by R. By shortening the wire the value of resistance is decreased in the wire.
What is the resistance of an electric wire?The flow of current is due to the flow of charge in the wire. Resistance causes an opposition force in the flow of the current due to which the flow of current got reduced.
Hence resistance is inversly propotional to the value of the flow of current.
If the length of the wire, the cross-sectional area of the wire, and resistivity of the material are known, the resistance of the wire may be computed as follows:
[tex]\rm R=\frac{\rho l}{A}[/tex]
R is the resistance,
is the wire's resistivity
L is the wire's length
A is the area of a crosssection of the wire.
From the above formula, we get the resistance is directly propotional to the length of the wire.
Hence by shortening the wire the value of resistance is decreased in the wire.
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Answer:
its d
Explanation: