College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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- 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?arrow_forwardIn the figure, a frictionless roller coaster car of mass m = 992 kg tops the first hill with speed v0 = 16.7 m/s at height h = 40.7 m. How much work does the gravitational force do on the car from that point to (a) point A, (b) point B, and (c) point C? If the gravitational potential energy of the car-Earth system is taken to be zero at C, what is its value when the car is at (d) B and (e) A? I know the first one is 0 J.arrow_forwardA child of mass m = 16 kg slides down a slide of height h = 2.7 m without friction. Let gravitational potential energy be zero at ground level. a)Write an expression for the child's total mechanical energy, E, at the top of the slide, in terms of the variables in the problem and the acceleration due to gravity g. b)Calculate the change in the child's potential energy, ΔU in joules, from the top to the bottom of the slide at ground level (i.e. ΔU = Uground - Utop). c)What is the child's final speed, vf in m/s?arrow_forward
- A 0.27-kg stone is held 1.2 m above the top edge of a water well and then dropped into it. The well has a depth of 5.6 m. (a) Taking y = 0 at the top edge of the well, what is the gravitational potential energy of the stone–Earth system before the stone is released? (b) Taking y = 0 at the top edge of the well, what is the gravitational potential energy of the stone–Earth system when it reaches the bottom of the well? (c) What is the change in gravitational potential energy of the system from release to reaching the bottom of the well?arrow_forwardDuring 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?arrow_forwardA 240-N child is in a swing that is attached to ropes 2.10 m long. Find the gravitational potential energy associated with the child relative to her lowest position at the following times. (a) when the ropes are horizontal J(b) when the ropes make a 34.0° angle with the vertical J(c) when the child is at the bottom of the circular arc Jarrow_forward
- A child with a weight of 110 N swings on a playground swing attached to 1.90 m long chains. What is the gravitational potential energy (in J) of the child-earth system relative to the child's lowest position at the following times? a) when the chains are horizontal. b) when the chains make an angle of 25.0° with respect to the vertical and c)when the child is at his lowest positionarrow_forwardA roller coaster car has a mass of 2,895 kg when loaded with people. The car is rolling down a steep hill. When the car is 12.5 m above the ground its velocity is 3.11 m/s. Assuming we can ignore friction, use energy principles to determine the initial gravitational potential energy (EGi).arrow_forwardA 0.23-kg stone is held 1.5 m above the top edge a water well and then dropped into it. The well has a depth of 5.3 m. (a) Taking y = 0 at the top edge of the well, what is the gravitational potential energy of the stone-Earth system before the stone is released? J (b) Taking y = 0 at the top edge of the well, what is the gravitational potential energy of the stone-Earth system when it reaches the bottom of the well? J (c) What is the change in gravitational potential energy of the system from release to reaching the bottom of the well? Jarrow_forward
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