Question

A girl of mass 40 kg sits in a swing formed by a rope of 6 m length. A person pulls the swing to a side so that rope makes an angle of 60° with the vertical. What is gain in potential energy of the girl?

Answer 1

HEYA! !
ANSWER - : ✔ ✔
IN THE ATTACHMENT
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Therefore the rise in the potential energy.

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Answer 2

Given that,

Mass of a girl, m = 40 kg

Length of rope of the wing is 6 m

A rope makes an angle of 60 degrees with the vertical.

To find,

The gain in potential energy of the girl.

Solution,

When the swing is pulled apart, the vertical height of the swing is h which is equal to h cosθ = 6 × cos(60) = 3 m

It means that the height with which the swing is raised is, 6 m - 3 m = 3 m

So, the raise in potential energy is given by :

E = mgh

$E=40\ kg\times 9.8\ m/s^2\times 3\ m\\E=1176\ J$

Hence, the gain in potential energy is 1176 J.