Question

3.
A conservative force of (-31) N acts on a body of
mass 3 kg. The change in potential energy of the
body due to the force, when it undergoes a
displacement 6im is
(1) 21 J
(2) 18 J
(3) 19 J
(4) 15 J
Space for R​

Answer 1

The change in potential energy, $\Delta U=-18\ J$

Explanation:

Given that,

Force acting on the body, $F=(-3i)\ N$'

Mass of the body, m = 3 kg

Displacement, d = (6i) m

Work done by all conservative forces is given by loss in potential energy. It is given by :

$W=-\Delta U$

$\Delta U=F\times d$

$\Delta U=(-3i)\times (6i)$

$\Delta U=-18\ J$

So, the change in potential energy of the  body due to the force is 18 joules. Hence, this is the required solution.

Learn more :

Topic : Conservative force

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