A sked is initially given a shove up a frictionless 23.0o incline. It reaches a maximum vertical height 1.22 m higher than where it started at the bottom. What was its initial speed?

A 1400-NN crate rests on the floor. How much work is required to move it at constant speed 5.0 mm vertically. Express your answer to two significant figures and include the appropriate units.

Ski Jump Ramp. You are designing a ski jump ramp for the next Winter Olympics. You need to calculate the vertical height h from the starting gate to the bottom of the ramp. The skiers push off hard with their ski poles at the start, just above the starting gate, so they typically have a speed of 2.0 m/s as they reach the gate. For safety, the skiers should have a speed of no more than 30.0 m/s when they reach the bottom of the ramp. You determine that for an 85.0-kg skier with good form, friction and air resistance will do total work of magnitude 4000 J on him during his run down the slope. What is the maximum height h for which the maximum safe speed will not be exceeded? *Illustrate the situation with complete and correct labels.

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A 10 kg barbell is rolling down a hill. There is no friction or air resistance acting on it, only the force of gravity. If it starts out moving 2 ms1, and ends up moving 7 ms1, then how much work does gravity do on it?

= 7.50 m. The figure below shows a box with a mass of m = 7.10 kg that starts from rest at point A and slides on a track with negligible friction. Point A is at a height of ha A MET 3.20 m 2.00 m m ha (a) What is the box's speed at point B (in m/s)? m/s What is the box's speed at point C (in m/s)? m/s (b) What is the net work (in J) done by the gravitational force on the box as it moves from point A to point C?

A sled is initially given a shove up a frictionless 26.0 incline. It reaches a maximum vertical height 1.50 m higher than where it started at the bottom. a) What was its initial speed?

6m/s d=10m 2m/s 37 A 1000kg car moves up an incline with initial speed 2m/s, it reach the top of the incline with speed 6m/s in 25 sec, as shown in the figure. If the coefficient of the kinetic friction between the car and the incline is 0.7, what is the average power (in kW) done by the engine of the car? (Use g=10m/s, Sin37=0.6 and Cos37=0.8) Question 4 / 13 60 m

A skier starts at the top of a frictionless slope and pushes off with a speed of 3.0 m/s. The elevation of the slope is 40 m. She skis down the slope to a valley with elevation 0.0 m and then glides to the peak of an adjacent slope that is at an elevation of 25 m. Calculate her speed at the second peak

The sledder shown in the figure starts from the top of a frictionless hill and slides down into the valley.  What initial speed Vi does the sledder need to just make it over the next hill?  Assume that the sledder reaches the very peak of the second hill at a very small speed like v=0.