A 25 kg bear slides, from rest, 12 m down a lodge pole pine tree, moving with a speed of 5.6 m/s just before hitting the ground. (a) What change occurs in the gravitational potential energy of the bear-Earth system during the slide? (b) What is the kinetic energy of the bear just before hitting the ground? (c) What is the average frictional force that acts on the sliding bear?

A 250 g block is dropped onto a relaxed vertical spring that has a spring constant of k = 2.5 N/cm (see the figure). The block becomes attached to the spring and compresses the spring 17 cm before momentarily stopping. While the spring is being compressed, what work is done on the block by (a) the gravitational force on it and (b) the spring force? (c) What is the speed of the block just before it hits the spring? (Assume that friction is negligible.) (d) If the speed at impact is doubled, what is the maximum compression of the spring? (a) Number i Units (b) Number i Units (c) Number i Units (d) Number i Units > www.

At Schlitterbahn, a 75.0 kg person rides a 12.0 m high water slide. If dissipative forces do -6.25 x 10³ J on the rider as they go from rest at the top of the ride to the bottom, then what is the speed of the rider at the bottom of the slide? Include a diagram of the situation and indicate the mechanical energy at both the top and at the bottom of the slide.

A 230 g block is dropped onto a relaxed vertical spring that has a spring constant of k = 1.3 N/cm (see the figure). The block becomes attached to the spring and compresses the spring 14 cm before momentarily stopping. While the spring is being compressed, what work is done on the block by (a) the gravitational force on it and (b) the spring force? (c) What is the speed of the block just before it hits the spring? (Assume that friction is negligible.) (d) If the speed at impact is doubled, what is the maximum compression of the spring? (a) Number (b) Number (d) Number 3155 - 1.274 (c) Number 2.88 9 Units Units Units J J m/s Units m/s