A 3.71-kg bucket of water is tied to a rope and lifted vertically upward at a constant speed of 1.6 m/s for a displacement of 33.6 m. Determine the work done upon the bucket.

Ms. Dewitte's son, Theo, slides down a slide, from rest, with a length of 2.00 m at an incline of 50° above the horizontal. He has a mass of 22.0 kg and he reaches the bottom of the slide with a velocity of 2.90 m/s. Briefly explain if total mechanical energy was conserved and what energy transfers otcurred?

A 7.80-g bullet moving at 650 m/s penetrates a tree trunk to a depth of 5.80 cm. (a) Use work and energy considerations to find the average frictional force that stops the bullet. (Enter the magnitude.) N (b) Assuming the frictional force is constant, determine how much time elapses between the moment the bullet enters the tree and the moment it stops moving.

A child on a sled is pulled by using a rope that makes an angle of 40° with the horizontal. Determine the work done if the tension in the rope is 75 N and the horizontal distance moved is 30 m.

A 3.8-kg block is pushed 2.1 m up a vertical wall with constant speed by a constant force of magnitude F applied at an angle of 8 = 30° with the horizontal, as shown in the figure below. If the coefficient of kinetic friction between block and wall is 0.30, determine the following. (a) the work done by F Ⓡ (b) the work done by the force of gravity J (c) the work done by the normal force between block and wall J (d) By how much does the gravitational potential energy increase during the block's motion? J

A 7.80-g bullet moving at 570 m/s penetrates a tree trunk to a depth of 4.40 cm. (a) Use work and energy considerations to find the average frictional force that stops the bullet. (b) Assuming the frictional force is constant, determine how much time elapses between the moment the bullet enters the tree and the moment it stops moving.

A 60 kg box has an initial velocity of 12 m/s up a 60-degree inclined plane at an initial height of 0 meters. The coefficient of friction between the box and the ground is 0.2. [a] Calculate the box’s maximum height up the inclined plane. [b] Calculate the work done by friction. [c] If you increased the angle of the inclined plane, explain how that would affect the work done by friction.

A 567-kg trailer is hitched to a truck. Find the work done by the truck on the trailer in each of the following cases. Assume rolling friction is negligible. (a) The trailer is pulled at constant speed along a level road for 1.54 km. kJ (b) The trailer is accelerated from rest to a speed of 88.5 km/h. kJ (c) The trailer is pulled at constant speed along a road inclined at 12.8°for 1.54 km.kJ

A 7.80-g bullet moving at 560 m/s penetrates a tree trunk to a depth of 4.80 cm. (a) Use work and energy considerations to find the average frictional force that stops the bullet. (b) Assuming the frictional force is constant, determine how much time elapses between the moment the bullet enters the tree and the moment it stops moving.

A 28-kg block is pulled along the ground for a distance of 5.1 m by an 85 N force at an angle of 21 degrees with respect to the horizontal. The coefficient of kinetic friction is 0.22.  Find the work done (in J) by the force of friction.   Find the work done (in J) by the force of friction.