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Body of given mass moved by a time-dependent force (a t i + b t^2 j): power developed at time t

This type of question, asked 4 times: 24 Jan 2023, 31 Jan 2024, 7 Apr 2025, 4 Apr 2026 S1. All 4 questions below, oldest first.

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  1. Question 1

    24 Jan 2023

    111
    A body of mass 1 kg1\text{ }kg begins to move under the action of a time dependent force F→=(tı^+3t2ȷ^)N\overrightarrow{F}=\left( t\widehat{\imath}+ 3t^{2}\widehat{\jmath} \right)N, where ı^\widehat{\imath} and ȷ^\widehat{\jmath} are the unit vectors along xx and y axis. The power developed by above force, at the time t=2st = 2s, will be ____\_\_\_\_ W.

  2. Question 2

    31 Jan 2024

    108
    A body of mass 2 kg2\text{ }kg begins to move under the action of a time dependent force given by F→=(6ti^+6t2j^)N\overrightarrow{F}=\left( 6t\widehat{i}+ 6t^{2}\widehat{j} \right)N. The power developed by the force at the time tt is given by:

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  3. Question 3

    7 Apr 2025

    18
    An object of mass 1000 g experiences a time dependent force F→=(2ti^+3t2j^)N\overrightarrow{F}=\left( 2t\widehat{i}+ 3t^{2}\widehat{j} \right)N. The power generated by the force at time t is :

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  4. Question 4

    4 Apr 2026 S1

    24
    A body of mass 2 kg begins to move under the influence of time dependent force F→=\overrightarrow{F} = (2ti^+6t2j^)N\left( 2t\widehat{i} + 6t^{2}\widehat{j} \right)N, where i^\widehat{i} and j^\widehat{j} are unit vectors along xx and y -axis respectively. The power produced by the force at t=2 st = 2\text{ }s is ____\_\_\_\_ W.