A 34 kg bear slides, from rest, 11 m down a lodgepole pine tree, moving with a speed of 4.5 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) Number (b) Number (c) Number Units Units Units
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- A 30.0-kg child starting from rest slides down a water slide with a vertical height of 10.0 m. What is the child’s speed (a) halfway down the slide’s vertical distance and (b) three-fourths of the way down? (Neglect friction.)During a rockslide, a 440 kg rock slides from rest down a hillside that is 500 m long and 300 m high. The coefficient of kinetic friction between the rock and the hill surface is 0.32. (a) If the gravitational potential energy U of the rock-Earth system is set to zero at the bottom of the hilI, what is the value of U just before the slide? (b) How much energy is transferred to thermal energy during the slide? (c) What is the kinetic energy of the rock as it reaches the bottom of the hill?During a rockslide, a 620 kg rock slides from rest down a hillside that is 710 m along the slope and 240 m high. The coefficient of kinetic friction between the rock and the hill surface is 0.28. (a) If the gravitational potential energy U of the rock-Earth system is zero at the bottom of the hill, what is the value of U just before the slide? (b) How much energy is transferred to thermal energy during the slide? (c) What is the kinetic energy of the rock as it reaches the bottom of the hill? (d) What is its speed then?
- A 38 kg bear slides, from rest, 12 m down a lodgepole pine tree, moving with a speed of 5.1 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?During a rockslide, a 390 kg rock slides from rest down a hillside that is 460 m long and 300 m high. The coefficient of kinetic friction between the rock and the hill surface is 0.24. If the gravitational potential energy U of the rock-Earth system is set to zero at the bottom of the hill, what is the value of U just before the slide?1.15×106 J How much mechanical energy is dissipated by frictional forces during the slide? What is its speed then? What is the kinetic energy of the rock as it reaches the bottom of the hill?A 199 kg crate hangs from the end of a rope of length L = 13.7 m. You push horizontally on the crate with a varying force F to move it distance d = 4.25 m to the side (see the figure). (a) What is the magnitude of F when the crate is in this final position? During the crate's displacement, what are (b) the total work done on it, (c) the work done by the gravitational force on the crate, and (d) the work done by the pull on the crate from the rope? (e) Knowing that the crate is motionless before and after its displacement, use the answers to (b), (c), and (d) to find the work your force F does on the crate.
- A 3 kg block is sliding across a horizontal surface. The initial speed of the block is 4 m/s, but because of friction the block’s speed will decrease at a constant rate (i.e., constant acceleration) until the block finally comes to a stop after sliding 8 m. What is the average power (in W) supplied by friction as the block slows to a stop?You drop a 2.50 kg book to a friend who stands on the ground at distance D-13.0 m below. If your friend's outstretched hands are at distance d-1.60 m above the ground (see the figure), (a) how much work W, does the gravitational force do on the book as it drops to her hands? (b) What is the change AU in the gravitational potential energy of the book-Earth system during the drop? If the gravitational potential energy U of that system is taken to be zero at ground level, what is U (c) when the book is released and (d) when it reaches her hands? Now take U to be 100 J at ground level and again find (e) W. (f) AU, (g) U at the release point, and (h) U at her hands. 10000 ElA 1.80 kg snowball is fired from a cliff 12.0 m high. The snowball's initial velocity is 16.4 m/s, directed 27.0° above the horizontal. (a) How much work is done on the snowball by the gravitational force during its flight to the flat ground below the cliff? (b) What is the change in the gravitational potential energy of the snowball-Earth system during the flight? (c) If that gravitational potential energy is taken to be zero at the height of the cliff, what is its value when the snowball reaches the ground? (a) Number (b) Number (c) Number Units Units Units
- A 5.80-kg block is set into motion up an inclined plane with an initial speed of v₁ = 8.20 m/s (see figure below). The block comes to rest after traveling d = 3.00 m along the plane, which is inclined at an angle of 0 = to the horizontal. V. (a) For this motion, determine the change in the block's kinetic energy. (b) For this motion, determine the change in potential energy of the block-Earth system. (c) Determine the friction force exerted on the block (assumed to be constant). N (d) What is the coefficient of kinetic friction?A crate is given a push across a horizontal surface. The crate has a mass m, the push gives it an initial speed of 3.60 m/s, and the coefficient of kinetic friction between the crate and the surface is 0.130. (a) Use energy considerations to find the distance (in m) the crate moves before it stops. ____m (b) What If? Determine the stopping distance (in m) for the crate if its initial speed is doubled to 7.20m/s. ____mA 12.0 kg box is given an initial push that starts it sliding across the floor. It eventually comes to a stop. If the box has an initial velocity of 3.5 m/s, how much work is done by friction to cause it to come to a stop? (Yes, you are correct, you do not know the coefficient of friction.)