Q 11 :

A small particle moves to position $5\hat{i}-2\hat{j}+\hat{k}$ from its initial position $2\hat{i}+3\hat{j}-4\hat{k}$ under the action of force $5\hat{i}+2\hat{j}+7\hat{k}\text{N}.$ The value of work done will be _________ J.           [2023]

Q 12 :

A force $F=(5+3y^2)$ acts on a particle in the $y$-direction, where F is newton and $y$ is in meter. The work done by the force during a displacement from y = 2 m to y = 5 m is _______ J.          [2023]

Q 13 :

A force $\overrightarrow{F}=(2+3x)\hat{i}$ acts on a particle in the $x$-direction, where $F$ is in newton and $x$ is in meter. The work done by this force during a displacement from $x$ = 0 to $x$ = 4 m, is __________ J.               [2023]

Q 14 :

A block of mass 10 kg is moving along $x$-axis under the action of force $F=5x\text{\hspace{0.05em}N}.$ The work done by the force in moving the block from $x$ = 2 m to $x$ = 4 m will be ________ J.                        [2023]

Q 15 :

A body of mass 2 kg is moving along x-direction such that its displacement as function of time is given by $x\left(t\right)=\alpha t^2+\beta t+\gamma \text{m}$, where $\alpha =1 {\text{m/s}}^2, \beta =1 \text{m/s}, \gamma =1 \text{m }$. The work done on the body during the time interval t=2 s to t=3 s is ______ J.   [2026]

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