Question

Two particles each of mass 1 kg are separated by a distance of 1m in a gravitational field. The work done to increase the separation between them to 2m is

Answer 1

The work done is $3.335\times10^{-11}\ J$

Explanation:

Given that,

Mass of each particle = 1 kg

Distance = 1 m

Change distance = 2 m

We need to calculate the work done

Using formula of change in potential energy

$\Delta W=\dfrac{Gmm'}{r_{2}}-\dfrac{Gmm'}{r_{1}}$

Put the value into the formula

$\Delta W=\dfrac{6.67\times10^{-11}\times1\times1}{2}-\dfrac{6.67\times10^{-11}\times1\times1}{1}$

$\Delta W=3.335\times10^{-11}\ J$

Hence, The work done is $3.335\times10^{-11}\ J$

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Topic : work done

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