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

Question

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]

Smart Achievers · Accepted Answer

(30)

$Work done = \int F d x$

$x$

Solution

Q.
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]

Ans.
(30)

$Work done = \int F d x$

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

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Solution

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

Ans. (30) Work done=∫Fdx ∫245x dx=5[x22]24=52 [16-4]=30 J

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Q.
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]

Ans.
(30)

$Work done = \int F d x$

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