The sketch below shows a bowling ball return at a bowling al

The sketch below shows a bowling ball return at a bowling alley. Estimate the required speed of the ball at point 1 so that it reaches point 2 with a speed of 2 a Point 2 is a height of 1.0 meters above point 1. Neglect rolling friction and air resistance.

Solution

By Conservation of energy

(1/2)mV₁² +mgh₁ = (1/2)mV₂² + mgh₂

since h₁=0

(1/2)V₁² =(1/2)V₂²+gh₂

(1/2)*V₁² =(1/2)*2² + 9.8*1

V₁² =2*11.8

V₁=4.86 m/s