The wavelength of a microwave is longer than that of visible light, with microwaves typically ranging from 1 millimeter to 1 meter while visible light ranges between ~400 and 700 nanometers. In terms of scale, these differ by about 6-8 orders of magnitude.
Explanation:The wavelength of a microwave is indeed longer than that of visible light. To understand this, it helps to remember that the type of wave - whether it's a microwave, visible light, ultraviolet light, etc. - is determined by its frequency or wavelength in the electromagnetic spectrum. Microwaves, used largely in radar and communications, possess longer wavelengths ranging from 1 millimeter to 1 meter. Visible light, on the other hand, has shorter wavelengths, between approximately 400 and 700 nanometers.
In terms of the orders of magnitude difference, we can observe a substantial difference. The difference in wavelength between visible light and microwaves is generally in the range of 6-8 orders of magnitude, taking the range of both wavelengths into account. This significant disparity illustrates the vast variety and scale within the electromagnetic spectrum.
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energy released by fusion in the sun is initially in the form of
Answer:
Gamma rays
Explanation:
Trust me bro
A 1.60-m-long barbell has a 25.0 kg weight on its left end and a 37.0 kg weight on its right end. you may want to review ( pages 204 - 205) . part a if you ignore the weight of the bar itself, how far from the left end of the barbell is the center of gravity
A field mouse trying to escape a hawk runs east for 3.5 m , darts southeast for 4.5 m , then drops 2.0 m down a hole into its burrow. part a what is the magnitude of the net displacement of the mouse?
A jogger runs north for 3 miles. If this took 2 hours, what is the joggers average velocity? Draw a properly labeled diagram.
A flat surface of area 3.20 m2 is rotated in a uniform electric field of magnitude e = 6.20 x 105 n/c. determine the electric flux through this area (a) when the electric field is perpendicular to the surface and (b) when the electric field is parallel to the surface.
The electric flux through this area:
When the electric field is perpendicular to the surface= 1.98 x 10⁶ Nm²/CWhen the electric field is parallel to the surface= 0What is Electric flux?
This is defined as the number of electric field lines that intersect a given area.
Electric flux(φ)= EA cos θ
where θ = angle between the directions of E and A is the surface area.
When the electric field is perpendicular to the surface, θ = 0°.
φ = EA cos(0°) = (6.20 x 10⁵ N/C)*(3.2 m²) × 1 = 1.984 x 10⁶ Nm²/C
When the electric field is parallel to the area, then θ = 90°, and
φ = EA cos(90°) = 0 as result of cos 90° being zero.
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Rank the nonmetals in each set from most reactive (1) to least reactive (3). Bromine: Chlorine: Iodine:
The most reactive element of this list is Chlorine, the next most reactive is bromine, and the least reactive is iodine.
All of these three elements are group 7 elements in the periodic table. It is known that the reactivity of group 7 elements decreases down the group. The most reactive element in this group is Flourine with reactivity decreasing down the group.
The reason for this decrease in reactivity is that as you go down the group, the distance between the positive nucleus that attracts valence electrons increases, decreasing the electrostatic attraction between the nucleus and the outer electrons. The other reason is that the electrons in lower energy levels closer to the nucleus repel and shield the electrons in the outermost shell or energy level of the atom.
Chlorine>Bromine>Iodine.
Answer: The order of reactivity of non-metals from most reactive to least reactive is [tex]\text{Chlorine}>\text{Bromine}>\text{Iodine}[/tex]
Explanation:
Reactivity of a non-metal is defined as the tendency of an element to gain electrons. The reactivity increases as we move across a period and it decreases as we move down the group.
When the size of an element increases, the valence electrons gets away from the nucleus and the tendency of an element to gain electrons decreases.
In a group, the size of an element increases because there is an addition of new shell and electron is added in that shell.
The given elements belong to the same group which is Group 17.
Chlorine has the smallest size, then bromine and then iodine.
Hence, the order of reactivity of non-metals from most reactive to least reactive is [tex]\text{Chlorine}>\text{Bromine}>\text{Iodine}[/tex]
What is the direction of the centripetal force when applied to an object?
the direction opposite to the object’s velocity
the same direction as the object’s velocity
perpendicular to an object’s motion
parallel with an object’s motion
The direction of the centripetal force when applied to an object is perpendicular to the object's motion.
What is centripetal force?Any motion along a curved road is accelerated, necessitating the application of force to the path's center of curvature. This force is known as the centripetal force, which is a force that seeks its center.
The direction of centripetal force, or even net force, is always that of acceleration. As an illustration, consider how quickly the earth is moving toward the sun. We are not moving toward the sun since the acceleration vector for planet Earth is constantly pointing in that direction and the velocity is perpendicular to it.
When force applied to an item, the centripetal force's direction is perpendicular to the object's motion.
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An object is at x = 0 at t = 0 and moves along the x axis according to the velocity–time graph in Figure P2.50.(a) What is the object’s acceleration between 0 and 4.0 s? (b) What is the object’s acceleration between 4.0 s and 9.0 s? (c) What is the object’s acceleration between 13.0 s and 18.0 s? (d) At what time(s) is the object moving with the lowest speed? (e) At what time is the object farthest from x = 0? (f) What is the final position x of the object at t = 18.0 s? (g) Through what total distance has the object moved between t = 0 and t = 18.0 s?
Without the given Figure, precise answers can't be provided. Generally, acceleration is calculated as the slope of the velocity-time graph, and position is provided by the integral (or area under the graph) of the velocity-time graph. The object's speed is lowest when its velocity is minimal, and it is farthest from x= 0 when the accumulated area under the graph is maximum.
Explanation:Unfortunately, without the given Figure P2.50, it's impossible to accurately calculate the object's acceleration, position at different times, or specify when the object is moving with the lowest speed or is farthest from x = 0.
However, I can explain the general method to determine this information. Acceleration is calculated from the slope of the velocity-time graph. The position is generally obtained by calculating the area under the velocity-time graph from the beginning of the interval to the end. The object is moving with the lowest speed when the velocity is lowest (either positively or negatively). The object is farthest from x = 0 when the accumulated area under the velocity-time graph (counting areas below the time axis as negative) is a maximum. The total distance the object has moved is equal to the absolute sum of all the areas (both positive and negative) on the velocity-time graph.
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What is the range of atomic numbers of elements whose isotopes are all radioactive
What is the energy of a photon with the wavelength 150 nm?
"on a snowy day, max (mass = 15 kg) pulls his little sister maya in a sled (combined mass = 20 kg) through the slippery snow. when max pulls on the sled with 12 n of force, directed at an angle of 15° above the ground, how much work does max do on the sled as he pulls his sister 25 m in the snow?"
_____ cycle nutrients from dead organisms back Into the soil, Where it becomes available for plants.
Answer: decomposers
Explanation: they are microorganisms that are responsible for the decay and break down of dead organism into nutrients that are available for the plant
Make a general statement concerning how large bodies of water affect the climate of nearby coastal communities.
Final answer:
Large bodies of water like oceans contribute to more moderate climates in coastal areas due to their thermal properties. Global warming is leading to sea level rise through glacial meltwater and thermal expansion, which affects coastal communities. Oceans also impact global weather patterns, including precipitation and climate, due to heat transport and storage.
Explanation:
Large bodies of water, like oceans and large lakes, have a significant impact on the climate of coastal communities. The thermal properties of water, which heats and cools more slowly than land, lead to moderate climates in coastal areas. These regions typically experience smaller temperature fluctuations both daily and seasonally, in comparison to interior landmasses. Additionally, global warming is causing sea levels to rise due to glacial meltwater and thermal expansion, further complicating the climate effects on coastal communities. The warmth of oceanic currents is transported across vast distances, affecting the weather patterns far inland as well.
As the planet warms, the rise in sea levels can lead to the inundation of shorelines, which poses challenges for coastal cities. This rising sea level can increase the impact of storm surges, putting infrastructure at risk. The warming of oceans also contributes to the continued melting of polar ice, which can disrupt the supply of freshwater and bring about long-term changes to global precipitation and climate patterns. Hence, the oceans play a crucial role in moderating global climate and the long-term implications of climate change.
You push a shopping cart filled with groceries (total mass = 20 kg) by applying a force to the cart 30° from the horizontal. if the force you apply has a magnitude of 86 n, what is the cart's acceleration? assume negligible friction.
What is the pressure of the gas in this mercury manometer if h = 89 mm and atmospheric pressure is 775 mmhg?
The pressure of the gas in this mercury manometer ( Figure 1 ) is about 864 mmHg
[tex]\texttt{ }[/tex]
Further explanationThe basic formula of pressure that needs to be recalled is:
Pressure = Force / Cross-sectional Area
or symbolized:
[tex]\large {\boxed {P = F \div A} }[/tex]
P = Pressure (Pa)
F = Force (N)
A = Cross-sectional Area (m²)
Let us now tackle the problem !
[tex]\texttt{ }[/tex]
In this problem , we will use Ideal Gas Law as follows:
Given:
height of mercury column = h = 89 mm
atmospheric pressure = Po = 775 mmHg
Asked:
the pressure of the gas = P = ?
Solution:
We will use Hydrostatic Pressure formula to solve this problem as follows:
[tex]P = Po + \rho g h[/tex]
[tex]P = 775 \texttt{ mmHg} + 89 \texttt{ mmHg}[/tex]
[tex]P = 864 \texttt{ mmHg}[/tex]
[tex]\texttt{ }[/tex]
Conclusion :The pressure of the gas in this mercury manometer ( Figure 1 ) is about 864 mmHg
[tex]\texttt{ }[/tex]
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Answer detailsGrade: High School
Subject: Physics
Chapter: Pressure
The index of refraction of water is 1.36. what is the speed of light in water
A weight lifter picks up a barbell and 1. lifts it chest high 2. holds it for 30 seconds 3. puts it down slowly (but does not drop it). rank the work w that the weight lifter does during each of these three operations. label the quantities as w1, w2, and w3. (hint: think about how work is defined in terms of who is applying forces and who is doing work.) w3 = w2 = w1 w3 = w1 > w2 w2 > w1 > w3 none of the above w1 > w2 > w3 w3 > w2 > w1 w2 > w3 > w1 justify your ranking order.
1. lifts it chest high
The force opposing to this action is the force due to gravity. Therefore the work done is:
W1 = m g d
where m is mass of the barbell, g is gravity and d is displacement
2. holds it for 30 seconds
Work is a product of force and displacement, since there is no displacement, therefore work done is zero.
W2 = 0
3. puts it down slowly
If the barbell was dropped, then it would simply be a free fall. But since it was not, so the work done here is also equal to the weight of the barbell times displacement:
W3 = m g d
We can see that W1 = W3, and since W2 = 0, therefore the answer is:
w3 = w1 > w2
Final answer:
In the context of a weight lifter lifting, holding, and lowering a barbell, work is done during the lifting (w1) and lowering (w3) phases due to the movement over a distance against a force. Holding the barbell stationary (w2) involves no work as there is no displacement. Thus, ranking in terms of work done would be w1 = w3 > w2, assuming equal force and displacement for lifting and lowering.
Explanation:
To answer the student's question effectively, we need to apply the concept of work from physics. Work is defined as the transfer of energy, and mathematically, it is the product of force and displacement in the direction of the force. Thus, work requires both force and movement in the direction of that force.
w1: Lifting the barbell chest high involves applying a force that moves the weights over a distance, hence work is done here.
w2: Holding the barbell in place does not involve movement. As there is no displacement, no work is done in the physics sense during this action. Therefore, w2 is zero.
w3: Lowering the barbell slowly back down also involves work since force is applied in controlling the movement against gravity over a distance.
Given the above understanding, w1 and w3 involve doing work, with w2 being zero due to no displacement. However, without specific values for force and displacement, it's challenging to directly compare the magnitude of work done between w1 and w3 precisely.
Conceptually, if the distance and force applied are the same for lifting and lowering, then w1 = w3 > w2. This scenario assumes identical distances and forces are applied in lifting up and lowering down the weights,
Braces are important because they __________.
A.
protect you from impacts
B.
provide support for a weakened joint
C.
apply pressure to cuts and scrapes
D.
keep your joints cool and comfortable
The correct answer would be B. To provide support for a weakened joint. I just took the test!
Consider the coolant circuit in a standard automotive engine that produces a power output of 100 kw. the liquid coolant (which is usually a 50%-50% mixture of ethylene glycol and water) has a specific heat of 3.3 kj/kg-k. if the coolant inlet temperature is 70°c and heat transferred to the coolant at the maximum power operating condition is 28% of the power output, find the minimum mass flow rate of coolant required to keep the coolant exit temperature at or below 90°c.
What is the speed of the roller coaster at the top of the loop if the radius of curvature there is 11.0 m and the downward acceleration of the car is 1.50 g?
Final answer:
The roller coaster's speed at the top of the loop is calculated using the centripetal acceleration formula, with the given downward acceleration of 1.50 g which equals 14.7 m/s² and the radius of curvature of 11.0 m to find the velocity.
Explanation:
The speed of the roller coaster at the top of the loop can be determined by utilizing the concept of centripetal acceleration. Centripetal acceleration is provided by the gravitational force when the roller coaster is at the top of the loop. Given that the downward acceleration is 1.50 g, and knowing that 1 g equals 9.8 m/s2, we can calculate the centripetal acceleration as 1.50 times 9.8 m/s2. The formula for centripetal acceleration (ac) is ac = v²/r, where v is the velocity and r is the radius of curvature. Rearranging the formula to solve for v gives us v = √(ac × r). Plugging in the values, we have v = √((1.50 × 9.8 m/s2) × 11.0 m), which yields the speed of the roller coaster at the top of the loop.
A car is traveling with a constant speed when the driver suddenly applies the brakes, causing the car to slow down with a constant acceleration of magnitude 3.50 m/s2. if the car comes to a stop in a distance of 30.0 m, what was the car's original speed?
The car's original speed can be calculated by utilizing the kinematic equation which is a principle in physics. Given that the car came to a stop with constant deceleration in a certain distance, the estimated initial speed was approximately 26.9 m/s.
Explanation:The subject of the question involves concepts in physics specifically related to the equations of motion. To solve this, we can utilize the kinematic equation which relates initial velocity, acceleration, and distance: v2 = u2 + 2as, where 'v' is the final velocity, 'u' is the initial velocity, 'a' is acceleration and 's' is distance. Since the car comes to a stop, our final velocity v = 0 m/s. We know that the distance s = 30m and the acceleration is given as a = -3.50 m/s2 (negative because it's deceleration). From these, we can find the initial velocity 'u'. When we substitute these values into the equation, we can solve for 'u' as √(v2 - 2as), which equals approximately √(0 - 2*-3.50*30) ≈ 26.9 m/s. Therefore, the car's original speed was approximately 26.9 m/s.
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A vector A is added to B=6i-8j. The resultant vector is in the positive x direction and has a magnitude equal to A . What is the magnitude of A?
a)11
b)7.1
c)5.1
d)8.3
e)12.2
The correct answer would be letter d, 8.3.
Solution for the problem follows:
Given are:
B = 6i - 8j
A is unknown; let A be = mi + nj
A+B is along the x axis (therefore A+B = Ki + 0j, where K is unknown,
but then again the magnitude of A+B is the similar as the magnitude of A,
so mag(A+B)=K=sqrt(m^2+n^2), or K^2 = m^2+n^2.
A+B, from simple vector addition, will be now (m+6)i + (n-8)j.
Ever since we previously
know A+B = Ki + 0j, we now know that:
m+6 = K
n-8 = 0, which implies n=8.
Thus, K^2=m^2+n^2 ====> (m+6)^2 = m^2 +8^2
= m^2 + 12m + 36 = m^2 + 64
= 12m = 28
= m = 2.33333...
Therefore, the magnitude of A is sqrt[(2.333...)^2 + 8^2] = 8.3333
The magnitude of [tex]\vec A[/tex] is [tex]8.3[/tex].
Further explanation:
A vector is a quantity having magnitude and direction both. It is represented as the product of magnitude and direction vector.
Given:
The vector is given as [tex]\vec B = 6\hat i - 8\hat j[/tex].
The direction of resultant vector is in the X- direction.
Concept used:
Consider a vector [tex]\vec A = a\hat i + b\hat j[/tex] which is added to [tex]\vec B[/tex] to get a resultant vector [tex]\vec C[/tex]. The resultant vector is directed in the positive X-direction which means that the y- component of the vector is zero.
The expression for the resultant vector is given as.
[tex]\vec C = \vec A + \vec B[/tex]
Substitute [tex]6\hat i - 8\hat j[/tex] for [tex]\vec B[/tex] in the above expression.
[tex]\begin{gathered}\vec C = \left( {a\hat i + b\hat j} \right) + \left( {6\hat i - 8\hat j} \right) \\= \left( {a + 6} \right)\hat i + \left( {b - 8} \right)\hat j \\ \end{gathered}[/tex]
The resultant vector is represented as.
[tex]\vec C = x\hat i + 0\hat j[/tex]
Compare the above two expression of resultant vector.
[tex]x = a + 6[/tex] …… (1)
[tex]\begin{aligned}0&=b-8\\b&=8\\\end{aligned}[/tex]
The magnitude of resultant vector is equal to the magnitude of [tex]\vec A[/tex].
The expression for the magnitude of [tex]\vec A[/tex] is given as.
[tex]\left| {\vec A} \right| = \sqrt {\left( {{a^2}} \right) + \left( {{b^2}} \right)}[/tex] …… (2)
The expression for the magnitude of [tex]\vec C[/tex] is given as.
[tex]\left| {\vec C} \right| = \sqrt {{{\left( {a + 6} \right)}^2}}[/tex]
Compare the above two expressions.
[tex]\sqrt {\left( {{a^2}} \right) + \left( {{b^2}} \right)}= \sqrt {{{\left( {a + 6} \right)}^2}}[/tex]
Substitute 8 for [tex]b[/tex] in above expression.
[tex]\begin{aligned}\sqrt {\left( {{a^2}} \right) + \left( {{8^2}} \right)}&=\sqrt {{{\left( {a + 6} \right)}^2}}\\{a^2} + 64&={a^2} + 36 + 12a \\12a&=28 \\a&=2.33 \\ \end{aligned}[/tex]
Substitute 2.33 for a and 8 for b in equation (2).
[tex]\begin{aligned}\left| {\vec A} \right|&=\sqrt {{{\left( {2.33} \right)}^2} + {{\left( 8 \right)}^2}}\\&=8.33 \\ \end{aligned}[/tex]
Thus, the magnitude of vector A is [tex]8.33[/tex].
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Answer Details:
Grade: College
Subject: Physics
Chapter: Vectors
Keywords:
Vectors, product, magnitude, direction, resultant vector, adding vector, subtraction of vector, 2.33, 8, 8.33, 8.3, 8.33.
You are building a shelf at home. As you sand the wood, dust floats into the air. The air and dust from sanding create which of the following?
A) A solution
B) A pure substance
C) A colloid
D) A suspension
Solution, colloids and suspension are distinctive sort of mixtures.
Air and dust are not solutions.
There is an uncertainty about whether air and dust form a colloid or a suspension.
Colloids don't partitioned, while suspension's segments do isolated. In the event that the residue is sufficiently little it will stay in air sufficiently long to be considered a colloid for all efects.
At that point, the most satisfactory assessment is that the blend of air and dust is a colloid.
So, option c. a colloid is the answer.
Colloid is a heterogeneous mixture in which molecule estimate is middle of genuine arrangement and suspension. Smoke from a fire is case of colloidal framework in which small particles of strong buoy in air. Some basic cases of colloids are jewel stones, smoke, cheddar, drain, cleanser foam and froth.
Two friends, barbara and neil, are out rollerblading. with respect to the ground, barbara is skating due south at a speed of 6.3 m/s. neil is in front of her. with respect to the ground, neil is skating due west at a speed of 2.4 m/s. find neil's velocity ((a) magnitude and (b) direction relative to due west, as seen by barbara.
Final answer:
To find Neil's velocity relative to Barbara, their individual velocities are considered as vectors and subtracted. Neil's relative velocity is calculated to be approximately 6.74 m/s at 69° north of west.
Explanation:
To determine Neil's velocity relative to Barbara, we need to consider both Neil’s and Barbara's velocities as vectors and subtract the velocity of Barbara from Neil's velocity. Barbara is moving due south at 6.3 m/s, and Neil is moving due west at 2.4 m/s. By defining south as the negative y-direction and west as the negative x-direction, we can represent Barbara’s velocity vector as (0 m/s, -6.3 m/s) and Neil's as (-2.4 m/s, 0 m/s).
To find Neil’s velocity relative to Barbara, we calculate the vector difference: Neil’s velocity minus Barbara's velocity:
VNB = VN - VB = (-2.4 m/s, 0 m/s) - (0 m/s, -6.3 m/s) = (-2.4 m/s, 6.3 m/s)
To find the magnitude of Neil's relative velocity (VNB), we use the Pythagorean theorem: |VNB| = √((-2.4 [tex]m/s^2[/tex] + (6.3 [tex]m/s^2[/tex]), which gives:
|VNB| = √(5.76 + 39.69) = √(45.45) ≈ 6.74 m/s
The direction relative to due west can be found using the arctangent of the y-component over the x-component:
θ = arctan(6.3 / 2.4) ≈ arctan(2.625) ≈ 69°
Therefore, Neil's velocity relative to Barbara is approximately 6.74 m/s at an angle of 69° north of west.
A man starts walking north at 2 ft/s from a point p. five minutes later a woman starts walking south at 6 ft/s from a point 500 ft due east of p. at what rate are the people moving apart 15 min after the woman starts walking? (round your answer to two decimal places.)
Final answer:
The question requires calculating the rate at which two individuals are moving apart by using their speeds and applying principles of kinematics. It involves converting time into seconds, calculating the total distance each person traveled, and then finding the distance between them 15 minutes after the woman starts walking.
Explanation:
The question involves calculating the rate at which two people are moving apart from each other, given their speeds and initial positions. It requires an understanding of relative motion and the ability to apply the principles of kinematics to solve real-world problems.
The man starts walking north from a point P at 2 ft/s, and five minutes later, a woman starts walking south from a point 500 ft due east of P at 6 ft/s. To find the rate at which they are moving apart 15 minutes after the woman starts walking, we must consider the distance each has traveled in their respective directions by that time.
The man walks for a total of 20 minutes (15 minutes after the woman starts), while the woman walks for 15 minutes. The distance the man walks is 2 ft/s × 1200 s = 2400 ft and the woman walks 6 ft/s × 900 s = 5400 ft. Since they start 500 ft apart east to west, and move in north-south directions, the distance between them after 15 minutes can be found using the Pythagorean theorem: √(24002 + (500 + 5400)2) = √(5760000 + 32400000) = √38160000, which gives the distance between them. The rate of separation is the derivative of this distance with respect to time, assuming constant speeds.
What are the disadvantages of driverless cars? Check all that apply.
They always drive slower than surrounding traffic to avoid accidents.
They cannot tell the difference between people and other objects.
They will wait for crossing pedestrians even if signaled to keep driving.
They may unexpectedly drive off the road to avoid potential hazards.
They will not allow the human driver to take control while in motion.
Answer:B,C, They cannot tell the difference between people and other objects. & They will wait for crossing pedestrians even if signaled to keep driving.
Explanation: i just did it on edg
Driverless cars can disrupt traffic due to slow speeds and over-caution, struggle to differentiate between people and objects, unexpectedly move to avoid hazards, and may not allow human control in emergency situations.
Explanation:Driverless cars, or autonomous vehicles, have several disadvantages that might affect their performance and usability. Firstly, these vehicles often operate at safer, slower speeds than typical road traffic, which can disrupt normal traffic flow. Secondly, while they use advanced sensors to detect their surroundings, they might struggle to differentiate between people and other objects. This could potentially lead to harmful incidents. Additionally, they might be overly cautious and halt for crossing pedestrians even when it's unnecessary, causing further disruption.
Moreover, unpredictable actions like veering off the road to circumvent hazards could pose risks to passengers or other vehicles. Lastly, a key issue is if these vehicles don't permit the human driver to override control manually in crisis situations, which can decrease the human's ability to avert dangerous situations.
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____ is the rate of change in velocity.
Answer:
Acceleration is the rate of change in velocity.
Explanation:
Velocity,v-
"It is the change in a body's displacement or change in speed,d over the time,t."
v=s/sec,Units: meter/second.Acceleration,a-
"When the body has a varying velocity,v across a given time frame,t is called as the acceleration,a."
a=v/t,Unit: meter/second².Two solutions, initially at 24.60°C, are mixed in a coffee cup calorimeter (Ccal = 15.5 J/°
c. When a100.0 mL volume of 0.100 M AgNO3 solution is mixed with a 100.0 mL sample of 0.200 M NaClsolution, the temperature in the calorimeter rises to 25.30°
c. Determine the ?H°rxn for thereaction as written below. Assume that the density and heat capacity of the solutions is the sameas that of water.NaCl (aq) + AgNO3(aq) ? AgCl(s) + NaNO3(aq) ?H°rxn = ?
A cart for hauling ore out of a gold mine has a mass of 413 kg, including its load. the cart runs along a straight stretch of track that is sloped 4.69° from the horizontal. a donkey, trudging along and to the side of the track, has the unenviable job of pulling the cart up the slope with a 4.10 × 102-n force for a distance of 175 m by means of a rope that is parallel to the ground and makes an angle of 14.3° with the track. the coefficient of friction for the cart\'s wheels on the track is 0.0163. use g = 9.81 m/s2. find the work that the donkey performs on the cart during this process.
The total work done by the donkey to pull the cart out of the mine is calculated by finding the work done against gravity and friction. The work done against gravity is 37012.5 J and against friction is 11637.5 J. The sum, and thus the total work done, is 48650 J.
Explanation:To find the total work done by the donkey, we need to consider the work done against both the gravitational force and the frictional force. The total work done will be equal to the sum of these two works.
Firstly, let's find the work done against the gravitational force. The force of gravity acting on the cart can be found using the equation F = m x g x sin(θ), where m is the mass of the cart, g is the acceleration due to gravity, and θ is the angle of the slope. Therefore, F = 413 kg x 9.81 m/s² x sin(4.69°) = 211.5 N. The work done against gravity is then W = F x d, where d is the distance the cart is hauled, resulting in W = 211.5 N x 175 m = 37012.5 J.
Secondly, let's calculate the work done against friction. The frictional force can be found using the equation F = μ x m x g x cos(θ), where μ is the coefficient of friction. Therefore, F = 0.0163 x 413 kg x 9.81 m/s² x cos(4.69°) = 66.5 N. The work done against friction is again W = F x d, giving W = 66.5 N x 175 m = 11637.5 J.
The total work done by the donkey is then the sum of these two works, giving 37012.5 J + 11637.5 J = 48650 J.
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You observe a very large and very hot star in the constellation orion. on the same night, you observe another star in orion that is much smaller but has the same temperature. which star is more luminous?