Question

If the skater has a mass of 55 kg and the maximum height the skater can reach is 10 m, then what will be the velocity of the skater if they skate down a height of 5 m? Ignore all friction and thermal energy and show all work

Answer 1

10m/s

Step-by-step explanation:

Data

mass=55kg, Maximum height (h1) =10m

Height reached when going down (h2)= 5m

final velocity (v)=?

At Maximum height the velocity is zero

hence intial velocity is 0m/s

The change in Potential energy = change in kinetic energy

mgh1-mgh2=1/2mv²-1/2mu²

But (u)= 0m/s

mgh2-mgh1=1/2mv²

mg(h1-h2)=1/2mv²

2g(h1-h2)=v²

v²=2(10m/s²)(10m-5m)

v²=100m²/s³

v=10m/s