A 1 kg body starts from rest under time-dependent force F=(2t î+3t² ĵ) N. Find instantaneous power at time t.
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A 1 kg body starts from rest under time-dependent force F=(2t î+3t² ĵ) N. Find instantaneous power at time t.

G1 Physics · Accepted Answer

Step 1 — Principle: Instantaneous power from a force is P = F·v. Step 2 — Working: From F=ma with m=1, integrate a: v=t²î+t³ĵ. Step 3 — Working: Power P=F·v=(2t)(t²)+(3t²)(t³)=2t³+3t⁵ W. Correct answer: C — (2t³+3t⁵) W.