The principles that you will examine in this lab can be illustrated by studying a falling bucket. Imagine a frictionless pulley in the shape of a solid cylinder of unknown massMM and radius 0.105 m that is used to draw water from a well. A bucket of mass 1.5 kg is attached to a cord wrapped around the cylinder. The bucket starts from rest at the top of the well and falls for 2.5 s before hitting the water at a distance of 6 m below the top of the well. Neglect the mass of the cord.

a)Calculate the mass of the pulley using the moment of inertia.

b)What is the change in the potential energy of the bucket from the top of the well to the water level?

c)What is the linear velocity of the falling bucket just as it hits the water?

d)What is the angular velocity of the rotating pulley just as the falling bucket hits the water?

e)What is the angular momentum of the rotating pulley just as the falling bucket hits the water?

f)What is the kinetic energy of the falling bucket just as it hits the water?

g)What is the kinetic energy of the rotating pulley just as the falling bucket hits the water?

h)Is the total kinetic energy smaller than, equal to, or larger than the magnitude of the potential energy change?

KE is smaller than ?PE

KE is equal to ?PE

KE is larger than ?PE

i)If the pulley were not frictionless, would the total kinetic energy be smaller than, equal to, or larger than the magnitude of the potential energy change?

KE would be smaller than ?PE

KE would be equal to ?PE

KE would be larger than ?PE

M = ? Rotating r - pulley Falling bucket m = 1.50 kg