Mechanics | Relativity Answers

A 59.3 kg skier is at rest at the top of a 346 m high run. The slope is inclined at a 15.9º angle relative to horizontal. Assuming that there is no friction between the skis and the snow, how much mechanical energy does the skier have when he/she is half way down the slope?

A 67.8 kg skier is at rest at the top of a 376 m high run. The slope is inclined at a 23.4º angle relative to horizontal. Assuming that there is no friction between the skis and the snow, how much potential energy does the skier have when he/she reaches the bottom of the hill?

A 59.1 kg skier is at rest at the top of a 275 m high run. The slope is inclined at a 22.2º angle relative to horizontal. Assuming that there is no friction between the skis and the snow, how much kinetic energy does the skier have when he/she reaches the bottom of the hill?

Using a rope, a person pulls a sled 47 m across level ground through the snow with a force of 79 N directed at an angle of 22.3o above the horizontal. How much work was done on the toboggan by the tension? (Friction is negligible.)

A 5.2 kg block slides down a 14.1 m long ramp inclined at an angle of 30o above the horizontal. At the bottom of the plane, the block transitions to a flat, smooth table that is 3.3 m in length. There is a spring attached to the wall at the end of the flat portion of the track that has spring constant of 331.9 N/m. What maximum height will the block reach on its return trip?

A 6.8 kg block slides down a 8.0 m long ramp inclined at an angle of 30o above the horizontal. At the bottom of the plane, the block transitions to a flat, smooth table that is 3.4 m in length. There is a spring attached to the wall at the end of the flat portion of the track that has spring constant of 255.0 N/m. What is the speed of the block when it leaves the spring on its return trip back across the track?

A 9.6 kg block slides down a 9.9 m long ramp inclined at an angle of 30o above the horizontal. At the bottom of the plane, the block transitions to a flat, smooth table that is 5.0 m in length. There is a spring attached to the wall at the end of the flat portion of the track that has spring constant of 246.2 N/m. What is the compression of the spring when the box has stopped moving forward?

A 9.5 kg block slides down a 13.2 m long ramp inclined at an angle of 30o above the horizontal. At the bottom of the plane, the block transitions to a flat, smooth table that is 2.1 m in length. There is a spring attached to the wall at the end of the flat portion of the track that has spring constant of 256.0 N/m. What is the velocity of the box when it reaches the bottom of the ramp?

A 5.8 kg block slides down a 11.6 m long ramp inclined at an angle of 30o above the horizontal. At the bottom of the plane, the block transitions to a flat, smooth table that is 2.8 m in length. There is a spring attached to the wall at the end of the flat portion of the track that has spring constant of 251.2 N/m. How much potential energy does the block have at the top of the ramp?

A student pushed a box 16.0 m across a smooth, horizontal floor using a constant force of 124 N. If the force was applied for 8.00 s, how much power did it take to accomplish this task, (to the nearest watt)?