Question

You are In-line skates at the top of a small hill. Your potential energy is equal to 1000 J. The last time we checked, your mass was 60 KG. What is the height of the hill?

Answer 1

A) Weight = mass × acceleration (due to gravity)  

= 60×9.8  

= 588 N  

B) Potential energy = mass x gravity x change in height

1,000 = 60.0 x 9.8 x h

h =  1.7 m      

C) Kinetic energyF = potential energyI

KEF = 1/2mv2  

PEI = mgh = 1,000 J

1/2mv2 = 1,000

1/2(60.0)v2 = 1,000  

v2 = 33.33

v = 5.77 m/s