Answer to Question #175302 in Physics for jarely

Question

Skee-Ball is a classic arcade game where you roll balls up a ramp to score points. This game is physics in disguise. As long as the ball has a fast enough velocity, it can hit the ramp and fly high up into the holes. 

Assuming that this game is friction free and g = 10 m/s², which hole will a 0.5 kg ball land in when the ball has a velocity of 3 m/s? Explain your choice using KE, PE and Conservation of Energy

Answer 1

According to conservation of energy, the kinetic energy will convert into potential energy:

$$PE=KE,\\\space\\ mgh=\frac12 mv^2,\\\space\\ h=\frac{v^2}{2g}=0.45\text{ m}.$$

So, the height does not depend on height and the ball will reach a hole that is 45 cm above the horizontal surface where you roll the balls.