A 300 g hockey puck is shot across an ice-covered pond. Before the hockey puck was hit, the puck was at rest. After the hit, the puck has a speed of 40 m/s. The puck comes to rest after going a distance of 30 m. (a) Describe how the energy of the puck changes over time, giving the numerical values of any work or energy involved.
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- A roller-coaster car of mass 1.50 × 103 kg is initially at the top of a rise at point Ⓐ. It then moves 35.0 m at an angle of 50.0° below the horizontal to a lower point Ⓑ. (a) Find both the potential energy of the system when the car is at points Ⓐ and Ⓑ and the change in potential energy as the car moves from point Ⓐ to point Ⓑ, assuming y = 0 at point Ⓑ. (b) Repeat part (a), this time choosing y = 0 at point Ⓒ, which is another 15.0 m down the same slope from point Ⓑ.A crane slowly lifts a 263 - kg crate a vertical distance of H = 13.0 m. mg crane F crane (a) How much work does the crane do on the crate? Enter to 3 significant figures W H 0 33,500 (b) How much work does the gravity do on the crate? Enter to 3 significant figures X√J XVI W gravity (c) What is the total work done on the crate? Enter to 3 significant figures ✓J W total = -33,500A 7.80-g bullet moving at 560 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. (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 7.80-g bullet moving at 470 m/s penetrates a tree trunk to a depth of 6.50 cm. (a) Use work and energy considerations to find the average frictional force that stops the bullet. (b) Assuming the friction force is constant, determine how much time elapses between the moment the bullet enters the tree and the moment in stops moving.Starting from rest, a 4.70-kg block slides 3.40 m down a rough 30.0° incline. The coefficient of kinetic friction between the block and the incline is = 0.436. (a) Determine the work done by the force of gravity. (b) Determine the work done by the friction force between block and incline. (c) Determine the work done by the normal force. (d) Qualitatively, how would the answers change if a shorter ramp at a steeper angle were used to span the same vertical height?A 7.80-g bullet moving at 460 m/s penetrates a tree trunk to a depth of 4.90 cm. (a) Use work and energy considerations to find the average frictional force that stops the bullet. (Enter the magnitude.) (b) Assuming the friction force is constant, determine how much time elapses between the moment the bullet enters the tree and the moment it stops moving.
- Scenario: Some Marines are lowering a 170 kg sled loaded with ammunition down a hill, when the rope breaks and the sled begins sliding uncontrolled. Beginning with a speed of 1.9 m/s, the sled loses 4.3 meters of elevation before coming to a stop. Question: How much thermal energy (in joules) was generated in the sled and the hill during the slide?A 61.8-kg skateboarder starts out with a speed of 1.75 m/s. He does 80.4 J of work on himself by pushing with his feet against the ground. In addition, friction does -221 J of work on him. In both cases, the forces doing the work are non-conservative. The final speed of the skateboarder is 9.19 m/s. (a) Calculate the change (PEF - PEo) in the gravitational potential energy. (b) How much has the vertical height of the skater changed? Give the absolute value. (a) Number (b) Number i Units UnitsA 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 1680 kg car skids on a level road with coefficient of kinetic friction 0.64 between the tires of the car and the road. The car skids a distance of 102 m and comes to a complete stop. The work done on the car by the force of kinetic friction is (enter your answer with two significant figures) possibly useful: W = (Fcosθ)d w = mg g = 9.81 m/s2(a)By what factor does the kinetic energy of a car increase when its speed doubles? triples? (b) What happens to this kinetic energy in a car crash? (c) Determine the speed a car is travelling if its kinetic energy is double what it would be at a highway speed limit of 100 km/h. (d) Make up a cartoon to educate drivers about the relationships among speed, higher energy, and damage done in collisions.A bicyclist starting from rest applies a force of F = 239 N to ride his bicycle across flat ground for a distance of d = 210 m before encountering a hill making an angle of θ = 17 degrees with respect to the horizontal. The bicycle and rider have a mass of m = 120 kg combined. In this problem, you can ignore air resistance and other losses due to friction.How much work, W in joules, did the rider do before reaching the hill? What is the bicycle's speed, v in m/s, just before the hill? If the cyclist starts coasting at the bottom of the hill, what distance, di in meters, does the bike travel up the incline?