Question

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A 40 kg dog is sitting on top of a hillside and has a potential energy of 1,568 J. What is the height of the hillside? (Formula: PE = mgh)


3.9 m

4.0 m

39.2 m

40.0 m

Answer 1

The correct answer is B. 4.0 m

Answer 2

The correct answer to the question is 4.0 m i.e the height of the hillside is 4.0 m.

CALCULATION:

As per the question, the mass of the dog is given as m = 40 kg.

The potential energy of the dog P.E = 1568 J.

Let the height of the hillside is h.

The potential energy possessed by the dog on the hillside is the gravitational potential energy which is the energy due to its position from earth surface.

The potential energy of a body is calculated as -

Potential energy P.E = mgh.

Here, g is the acceleration due to gravity.

Hence, the height of the hillside is calculated as -

`h=\ (P.E)/(mg)`

`=\ (1568\ J)/(40\ kg* 9.8\ m/s^2)`

`=\ 4\ m` [ans]

Hence, the height of hillside is 4.0 m.