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A man lifts $20$ boxes each of mass $15 kg$ to a height of $1.5 m$ . Find the work done by the man against gravity (Take $g = 9.8 m s^{2}$ ).

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4.44 kJ

4.42 kJ

4.41 kJ

4.40 kJ

answer is C.

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Detailed Solution

The work done by the man against gravity is given by

4.41 kJ

.
Work done is given by the equation

w = mgh

Where

m

= mass

g

= acceleration due to gravity

h

= height
Given:
Mass

m = 15 kg

g = 9.8 m s^{2}

h = 1.5 m

The work done against gravity in lifting one box

= mgh = 15 g \times 1.5 J \times 9.8 = 220.5 g J

The work done against gravity in lifting

20

boxes

= 20 \times 220.5 g = 4410 g J

= 4410 J
=

4.41 kJ

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