Answer:
<h2>1) There is no work done by the machine because</h2><h2>B) The object has not moved</h2><h2>2) There is no work done by the prisoner because</h2><h2>D) The prisoner does no work because the wall goes no distance</h2><h2>3) The kinetic energy when it is half the way down is</h2><h2>6.0 J</h2>
Explanation:
1) As we know that the work done is the product of force and displacement
It is given as

so if the object is not displaced due to the force exerted by the object then the work done by the object must be ZERO
so correct answer is
B) The object has not moved
2) As we know that the work done is the product of force and displacement
It is given as

As we know that the wall is not displaced due to applied force so here work done by the prisoner must be zero
D) The prisoner does no work because the wall goes no distance
3) As we know by work energy theorem that work done by all forces is equal to change in its kinetic energy
So we will have

so we will have



now when cart moves half the distance then again using the same



Explanation:
Using equation of motion to determine the acceleration of the car,
vf^2 = vi^2 + 2 * a * S,
vf = 0
0 = vi^2 + 2 * a * S
Converting mph to m/s,
3 mph * 5280 ft/mi * 12 in/ft * 2.54 cm/in * 1 m/100 cm * 1 h/3600 s
= 3 * 0.445
v = 1.335 m/s
Converting in to m,
2 in * 2.54 cm/in * 1 m/100 cm = 0.0254 m
= 2 * 0.0254
S = 0.0508 m
0 = 1.335^2 + 2 * a * 0.0508
a = -1.335^2 ÷ 0.1013
= -17.54 m/s^2
Mass of car (assumed) = 2000 kg
Force = ma
= 2000 × 17.54
= 35.08 kN.
B If you want me to explain then ask