A body of mass 4 kg is moving with momentum of 8 kg ms−1. A force of 0.2 N acts on it in the direction of motion of the body for 10 s. The increase in kinetic energy is
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★ Gɪᴠᴇɴ ★
- Mass of the body = 4kg
- Momentum of the body = 8 kg ms-¹
- Force = 0.2 N
- Time = 10 s
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☯ Tᴏ Fɪɴᴅ ☯
- The increased K.E.
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✪ Sᴏʟᴜᴛɪᴏɴ ✪
Momentum = mass × velocity
↠ P = mu
↠ u = P/m
↠ u = 8/4
↠ u = 2ms-¹
Acceleration = force/mass
↬ a = 0.2N/4kg
↬ a = 0.05ms-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 = 22.5m
Work done
→ W = Fd
→ W = (0.2N)(22.5m)
→ W = 4.5 J
★ The increased K.E. is 4.5J
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