A package with a mass of 51.0 kg slides down a smooth ramp with negligible friction. The package starts from rest and has a speed of 3.90 m/s at the bottom. What is the height of the ramp (in m)?

A 75 kg bicyclist is traveling with some speed. She approaches a hill that is 56 m high. How fast must she be biking to make it to the top of the hill and still be moving 1 m/s?

The rate of energy use in a typical house is about 2 kW. If the kinetic energy of a car (mass 1358 kg) is equal to the total energy used by the house in 1 min, what is the car's speed? m/s

A race car with a mass of 1850 kg accelerates from rest down a race track at a rate of 21.0 m/s2. If the track is 400m long, what is the gain in kinetic energy of the car when it reaches the end of the track?

A hockey puck with mass 0.163 kg is pushed across the ice with a constant force of 0.37 N. The coefficient of kinetic friction between the puck and the ice is 0.13. After a distance of 1.3 m, what is the puck's speed in m/s?

Problem 5: Consider the vectors, D = (6.00î - 8.00j) m, B = (-8.00î + 3.00j) m, and A = (26.0î + 19.0j) m.

A boy shoves his stuffed toy zebra down a frictionless chute. It starts at a height of 1.63 m above the bottom of the chute with an initial speed of 1.41 m/s . The toy animal emerges horizontally from the bottom of the chute and continues sliding along a horizontal surface with a coefficient of kinetic friction of 0.273 . How far from the bottom of the chute does the toy zebra come to rest? Assume ?=9.81 m/s2 .

OK, same sort of track, but now with d = 2.80 m. Now suppose the blocks starts on the track at x = 3.20 m. The block is given a push to the left and begins to slide up the track, eventually reaching its maximum height at x = 0, at which point it turns around and begins sliding down. What was its initial speed in this case?     8.47 m/s     5.99 m/s     10.12 m/s     4.83 m/s

A woman at an airport is rolling her suitcase (mass = 20 kg) at an initial velocity of 1 m/s by pulling on a strap at an angle of 30° above the horizontal with a force of 33 N. The woman starts to speed up when she realizes that she is late for her flight. She pulls the suitcase over a distance of 50 m as she walks to her gate. What is the speed of the suitcase when she reaches her gate? (You can neglect friction in this problem. Give your answer in m/s.)

Marisa pushes a 1.635 kg book across a table, accelerating it at a rate of 2.099 m/s^2 over a time period of 1.891 s. If 2.760 watts of power were used to move the book, what distance does the book travel across the table?