Anail is partially inserted into a block of wood, with a length of 0.0300 m protruding above the top of the block. to hammer the nail in the rest of the way, you drop a 20.0 kg metal cylinder onto it. the cylinder rides on vertical tracks that exert an upward friction force of 16.0 n on the cylinder as it falls. you release the cylinder from rest at a height of 1.50 m above the top of the nail. the cylinder comes to rest on top of the block of wood, with the nail fully inside the block. use the work-energy theorem to find the speed of the cylinder just as it hits the nail.

v = 5.19 m/s

Explanation:

Using the work-energy theorem:

W = Δk

where W is the work and Δk is the change in the kinetic energy

Now the work of all the system is equal to:

where M is the mass, g the gravity, d the distance and the friction force, it means that Mgd is the work of the gravitational force and is the work of the friction force

Also, the kinetic energy could be calulate by:

K =

where M is the mass and V the velocity.

Replacing:

Solving for V, we get:

v = 5.19 m/s

find the surface area of the sphere to the nearest square unit. use a calculator.

a. 254 in.2

b. 64 in.2

c. 127 in.2

d. 1,018 in.2