Question

I need help with question 8 and 9

Answer 1

8) The height of the shelf is 2.04 m

9) The gravitational potential energy is 100 J

Explanation:

8)

The gravitational potential energy of an object is given by:

$PE=mgh$

where

m is the mass of the object

g is the acceleration of gravity

h is the heigth of the object, relative to the ground

For the object in this problem, we have

m = 10 kg

$g=9.8 m/s^2$

And we know that

PE = 200 J

Therefore we can re-arrange the formula to solve for h, the heigth of the object:

$h=\frac{PE}{mg}=\frac{200}{(10)(9.8)}=2.04 m$

9)

As before, the gravitational potential energy of the object is given by:

$PE=mgh$

where in this  case, we have:

m = 10 kg is the mass of the object

h = 2.04 m is the height of the object from the ground

While in this case, the acceleration of gravity on this planet is

$g=4.9 m/s^2$

Substituting,

$PE=(10)(4.9)(2.04)=100 J$

Learn more about potential energy:

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