A body of mass 2 kg begins to move under the action of a time dependent force given by $\overrightarrow{F}$ = (6tî + 6t²ĵ) N. The power developed by the force at the time t is given by:
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A body of mass 2 kg begins to move under the action of a time dependent force given by F → \overrightarrow{F} F = (6tî + 6t²ĵ) N. The power developed by the force at the time t is given by:

G1 Physics · Accepted Answer

F⃗ = (6tî + 6t²ĵ) N Since, F⃗ = ma⃗ and m = 2 kg, a⃗ = F⃗/m = 3tî + 3t²ĵ Starting from rest: v⃗ = ∫a⃗ dt = (3t²/2)î + t³ĵ Power: P = F⃗ · v⃗ = (6t)(3t²/2) + (6t²)(t³) = 9t³ + 6t⁵ W