8. A 55-kg skateboarder enters a ramp moving horizontally with a speed of 6.5 m/s, and leaves the ramp moving vertically with a speed of 4.1 m/s. (A) Find the height of the ramp, assuming no energy loss to frictional forces. (B) What is the skateboarder's maximum helght above the bottom of the ramp?

A 46.3-g golf ball is driven from the tee with an initial speed of 44.8 m/s and rises to a height of 20.5 m. (a) Neglect air resistance and determine the kinetic energy of the ball at its highest point. (b) What is its speed when it is 7.98 m below its highest point?

A 254 g textbook slides up a 20.3° incline that is 5.00 m long. Using conservation of energy and assuming the incline is frictionless, what minimum initial speed is needed to accomplish this?

At Schlitterbahn, a 75.0 kg person rides a 12.0 m high water slide. If dissipative forces do -6250 J on the rider as they go from rest at the top of the ride to the bottom, then what is the speed of the rider at the bottom of the slide? Include a diagram of the situation and indicate the mechanical energy at both the top and at the bottom of the slide.

I place a 10 kg box at the top of a ramp that is inclined at 25 degrees. It then slides 8 m down the incline. If the incline has a coefficient of kinetic friction of 0.3, what is the speed of the block after it has completed its 8 m slide?

Ms. Dewitte's son, Theo, slides down a slide, from rest, with a length of 2.00 m at an incline of 50° above the horizontal. He has a mass of 22.0 kg and he reaches the bottom of the slide with a velocity of 2.90 m/s. Briefly explain if total mechanical energy was conserved and what energy transfers otcurred?

A 8.00 kg bowling ball falls froma 3.50 m shelf. Just before hitting the floor, what will be its kinetic energy? (g=9.80 m/s2 and assume air resistance is negligable).

An 7.6 kgkg crate is pulled 5.4 mm up a 30∘∘ incline by a rope angled 19 ∘ above the incline. The tension in the rope is 140 NN and the crate's coefficient of kinetic friction on the incline is 0.23.How much work is done by tension, by gravity, and by the normal force?What is the increase in thermal energy of the crate and incline?

An object is dropped from a height of 50 m with zero initial velocity. Assuming 5% of the energy is lost to drag, what's the speed of the object when it hits the ground? A 19.4m/s (B) 9.8m/s © 47.5m/s (D 30.5 m/s

A box of 9kg is released from rest on a rough inclined plane and slides to the bottom. The plane is inclined at a 230 angle to the horizontal and it is 5.1 m high. The coefficient of kinetic friction between the box and the plane is 0.1. Use conservation of energy to determine the speed of the block as it reaches the bottom.