AP EAMCET · PHYSICS · Center of Mass Momentum and Collision
The linear momentum of a body of mass 8 kg is \(24 \mathrm{~kg} \mathrm{~m} \mathrm{~s}^{-1}\). If a constant force of 24 N acts on the body in the direction of motion of the body for a time of 3 s, then the increase in the kinetic energy of the body is
- A 480 J
- B 540 J
- C 270 J
- D 240 J
Answer & Solution
Correct Answer
(B) 540 J
Step-by-step Solution
Detailed explanation
\(u = p_i / m = 24 / 8 = 3 \mathrm{~m} \mathrm{~s}^{-1}\) \(\Delta p = Ft = 24 \cdot 3 = 72 \mathrm{~kg} \mathrm{~m} \mathrm{~s}^{-1}\) \(v = (p_i + \Delta p) / m = (24 + 72) / 8 = 96 / 8 = 12 \mathrm{~m} \mathrm{~s}^{-1}\)…
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