Question

Over a given region, a force (in newton) varies as F = 3x² – 2x + 1. In this region, an object is displaced from x₁ = 20 cm to x₂ = 40 cm by the given force. Calculate the amount of work done.

Answer 1

Given: F = 3x² – 2x + 1, x₁ = 20 cm = 0.2 m,

x₂ = 40 cm = 0.4 m.

To find: Work done (W)

Formula: W = \(\int^B_A\,\overrightarrow{F}.\overrightarrow{ds}\)

Calculation:

From formula,

The work done is 0.136 J.