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1 vote
4. A 268 kg boulder rolls down a hill. If it had 50,000 J of energy to start with, how high was the hill? (Can anyone explain or give the equation for it? Thank you!)​

2 Answers

4 votes
  • Mass=268kg=m
  • P.E=50000J
  • acceleration due to gravity=g=10m/s^2
  • Height be h


\\ \sf\longmapsto PE=mgh


\\ \sf\longmapsto 50000=268(10)h


\\ \sf\longmapsto 50000=2680h


\\ \sf\longmapsto h=(50000)/(2680)


\\ \sf\longmapsto h=18.65m

User Rdonatoiop
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4.0k points
4 votes

Answer:

h = 18.65 m

Step-by-step explanation:

Given that,

The mass of a boulder, m = 268 kg

The potential energy at the hill, E = 50,000 J

We need to find the height of the hill.

We know that, the potential energy of an object is given by :

E = mgh

Where

h is the height of the hill

So,


h=(E)/(mg)\\\\h=(50000)/(268* 10)\\\\h=18.65\ m

So, the height of the hill is 18.65 m.

User Abhijith Nagaraja
by
4.6k points