The 50-kg crate is at rest when a force P of 400 N acts on it as shown. Using the work and energy principle, determine the velocity of the crate after traveling 6 m up the incline. The coefficient of kinetic friction between the crate and the ground is pk = 0.25.
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- A child on a sled is initially at rest on an icy horizontal surface. The sled is pushed until it reaches a final velocity of 6.60 m/s in a distance of 12.8 m. The coefficient of friction between the ice and runners of the sled is 0.200, and the weight of the child and the sled is 335 N. Find the work done by the force pushing the sled.In the figure, a block of mass m = 3.70 kg slides head on into a spring of spring constant k = 370 N/m. When the block stops, it has compressed the spring by 13.0 cm. The coefficient of kinetic friction between block and floor is 0.300. While the block is in contact with the spring and being brought to rest, what are (a) the work done by the spring force and (b) the increase in thermal energy of the block-floor system? (c) What is the block's speed just as the block reaches the spring?A sledge loaded with bricks has a total mass of 17.8 kg and is pulled at constant speed by a rope inclined at 19.0° above the horizontal. The sledge moves a distance of 20.6 m on a horizontal surface. The coefficient of kinetic friction between the sledge and surface is 0.500. (a) What is the tension in the rope? N (b) How much work is done by the rope on the sledge? kJ (c) What is the mechanical energy lost due to friction? kJ
- In the pitching motion, a baseball pitcher exerted an average horizontal force of 80 N against the 0.15 kg baseball while moving it through a horizontal displacement of 2.2 m before he released it. How much work did the pitcher do to the baseball as a result of this force? If the baseball’s velocity at the start of the pitching action was zero, how fast was the ball moving at the instant of release?A skier, starting from rest, coasts down a mountain that makes an angle of 20.0 ° with the horizontal. The coefficient of kinetic friction between her skis and the snow is 0.167. She coasts for a distance of 13.5 m before coming to the edge of a cliff. Use the Work-Energy theorem to find her speed at the edge of the cliff.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.
- In the figure here, a block of ice slides down a frictionless ramp at angle 0-53.0° while an ice worker pulls on the block (via a rope) with a force that has a magnitude of 56.0 N and is directed up the ramp. As the block slides down through distance d = 0.460 m along the ramp, its kinetic energy increases by 80.0 J. How much greater would its kinetic energy have been if the rope had not been attached to the block? ponedA sledge loaded with bricks has a total mass of 18.9 kg and is pulled at constant speed by a rope inclined at 19.5° above the horizontal. The sledge moves a distance of 19.8 m on a horizontal surface. The coefficient of kinetic friction between the sledge and surface is 0.500. (a) What is the tension in the rope? ___N(b) How much work is done by the rope on the sledge? ____kJ(c) What is the mechanical energy lost due to friction? ____kjA 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?
- A sled starts from rest at the top of a snow-covered incline that makes a 22° angle with the horizontal. After sliding 75 m down the slope, its speed is 14 m/s. Use the work-energy theorem to calculate the coefficient of kinetic friction between the runners of the sled and the snowy surface.A sledge loaded with bricks has a total mass of 17.9 kg and is pulled at constant speed by a rope inclined at 19.4° above the horizontal. The sledge moves a distance of 20.4 m on a horizontal surface. The coefficient of kinetic friction between the sledge and surface is 0.500.a) What is the tension in the rope? ______N(b) How much work is done by the rope on the sledge? _____ kJ(c) What is the mechanical energy lost due to friction? _______ kJA sledge loaded with bricks has a total mass of 18.7 kg and is pulled at constant speed by a rope inclined at 20.3° above the horizontal. The sledge moves a distance of 19.9 m on a horizontal surface. The coefficient of kinetic friction between the sledge and surface is 0.500. (a) What is the tension in the rope? (b) How much work is done by the rope on the sledge? kJ (c) What is the mechanical energy lost due to friction? k]