Work Energy and Power | Physics JEE previous year questions with Solutions

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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 $5 \hat{i} + 2 \hat{j} + 7 \hat{k} N .$ The value of work done will be _________ J. [2023]

0%

(40)

$W = \vec{F} ({\vec{r}}_{f} - {\vec{r}}_{i})$

$= (5 \hat{i} + 2 \hat{j} + 7 \hat{k}) \cdot [(5 \hat{i} - 2 \hat{j} + \hat{k}) - (2 \hat{i} + 3 \hat{j} - 4 \hat{k})]$

$W = 40 J$

Q 12 :

A force $F = (5 + 3 y^{2})$ 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]

0%

(132)

$F = 5 + 3 y^{2}$

$W = \int_{2}^{5} (5 + 3 y^{2}) d y = {[5 y + \frac{3 y^{3}}{3}]}_{2}^{5} = 132 J$

Q 13 :

A force $\vec{F} = (2 + 3 x) \hat{i}$ 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]

0%

(32)

$W = \int_{2}^{4} (2 + 3 x) d x$ $= {[2 x + \frac{3 x^{2}}{2}]}_{0}^{4} = 8 + 3 \times 8 = 32 J$

Q 14 :

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

0%

(30)

$Work done = \int F d x$

$\int_{2}^{4} 5 x d x = 5 {[\frac{x^{2}}{2}]}_{2}^{4} = \frac{5}{2} [16 - 4] = 30 J$

Topic Question Set

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 $5 \hat{i} + 2 \hat{j} + 7 \hat{k} N .$ The value of work done will be _________ J. [2023]

0%

Q 12 :

A force $F = (5 + 3 y^{2})$ 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]

0%

Q 13 :

A force $\vec{F} = (2 + 3 x) \hat{i}$ 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]

0%

Q 14 :

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

0%

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