Question

How high would you have to lift a 1000 kg car to give it a potential energy of: a. 2,000 J (b) 200,000 J

Given:
a. 2,000J
b. 200,000 J

Answer 1

a. 0.204 m, b. 20.408 m

Step-by-step explanation:

We know that Potential energy is given by

`U = mgh`

Rearranging this, we have:

`h=U/mg`

a. 2000 J = 2000 kgm/s²
h = 2000/(1000*10) (Taking g = 10 m/s²)
= 0.2 m
If we took g as 9.8 m/s²,
h = 0.204 m (Marginal error)

b. 200,000 J = 200,000 kgm/s²
h = 200,000/(1000*10) (Taking g = 10 m/s²)
= 20 m
If we took g as 9.8 m/s²,
h = 20.408 m