Question

A body of mass 0.5 kg travels on straight line path with velocity v = (3x² + 4) m/s. The net work done by the force during its displacement from x = 0 tox = 2 m is ______.

Options

• 64 J

• 60 J

• 120 J

• 128 J

Answer 1

A body of mass 0.5 kg travels on straight line path with velocity v = (3x² + 4) m/s. The net work done by the force during its displacement from x = 0 tox = 2 m is 60 J.

Explanation:

By work-energy thorem

W = ΔK

⇒ W = `1/2("v"_"f"^2-"v"_"i"^2)`

⇒ W = `1/2xx0.5xx(16^2-4^2)`

⇒ W = `1/4xx240`

⇒ W = 60 J