Question

A body of mass 4 kg is moving with a momentum of 8 kg ms−1. A force of 0.2 N acts at direction of motion of the body for 10 seconds. The increased kinetic energy in solids?

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Answer 1

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★ Gɪᴠᴇɴ ★

• Mass of the body = 4 kg
• Momentum of the body = 8 kg ms-¹
• Force = 0.2 N
• Time taken to travel = 10 seconds

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☯ Tᴏ Fɪɴᴅ ☯

• The increased K.E. in solids

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✪ Sᴏʟᴜᴛɪᴏɴ ✪

Momentum = mass × velocity

→ P = mu

→ u = P/m

→ u = 8/4

→ u = 2 ms-¹

Acceleration = force/mass

→ a = 0.2N/4

→ a = 0.05 ms-²

Distance travelled by the body in 10s

→ d = ut + ½ at²

→ d = 2×10+½×0.05×(10)²

→ d = 20+2.5

→ d = 22.5 m

Work done

→ W = Fd

→ W = 0.2N×22.5 m

→ W = 4.5 J

★ The increased K.E. in solids is 4.5 J

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