First slide

Work

Question

The relationship between force and position is shown in the figure given (in one dimensional case). The work done by the force in displacing a body from x = 1 cm to x = 5 cm is

Moderate

A

20 ergs
B

60 ergs
C

70 ergs
D

700 ergs

Solution

Work done = area between the graph and position axis
$W = 10 \times 1 + 20 \times 1 - 20 \times 1 + 10 \times 1 = 20 erg$

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