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Work done by a constant force vector over a displacement vector

This type of question, asked 3 times: 1 Feb 2023, 22 Jan 2025, 4 Apr 2026 S1. All 3 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    1 Feb 2023

    21
    A small particle moves to position 5ı^−2ȷ^+k^5\widehat{\imath}- 2\widehat{\jmath}+\widehat{k} from its initial position 2ı^+3ȷ^−4k^2\widehat{\imath}+ 3\widehat{\jmath}- 4\widehat{k} under the action of force 5ı^+2ȷ^+7k^ N5\widehat{\imath}+ 2\widehat{\jmath}+ 7\widehat{k}\text{ }N. The value of work done will be ___J.

  2. Question 2

    22 Jan 2025

    89
    A force F→=2i^+bj^+k^\overrightarrow{F}= 2\widehat{i}+ b\widehat{j}+\widehat{k} is applied on a particle and it undergoes a displacement i^−2j^−k^\widehat{i}- 2\widehat{j}-\widehat{k}. What will be the value of bb, if work done on the particle is zero.

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  3. Question 3

    4 Apr 2026 S1

    21
    A 1 kg block subjected to two simultaneous forces (2i^+3j^+4k^)N(2\widehat{i} + 3\widehat{j} + 4\widehat{k})N and (3i^−j^−2k^)N(3\widehat{i} - \widehat{j} - 2\widehat{k})N is moved a distance of 25 m along (3i^−4j^)(3\widehat{i} - 4\widehat{j}) direction. The work done in this process is ____\_\_\_\_ J.