A particle moves along x- axis from x = 0 to x = 5,m under influence of a force F (in N ) given by F

English

Gujarati

Hindi

5.Work, Energy, Power and Collision

normal

A particle moves along the $x-$ axis from $x = 0$ to $x = 5\,m$ under the influence of a force $F$ (in $N$ ) given by $F = 3x^2 -2x + 7$ . Calculate the work done by this force .............. $\mathrm{J}$

A

$72$

B

$105$

C

$135$

D

$215$

Solution

$\mathrm{W}=\int \mathrm{F} \mathrm{dx}=\int_{0}^{5}\left(3 \mathrm{x}^{2}-2 \mathrm{x}+7\right) \mathrm{dx}=135 \mathrm{J}$

Standard 11

Physics

Share

Similar Questions

When a ball is freely fallen from a given height it bounces to $80\%$ of its original height. What fraction of its mechanical energy is lost in each bounce ?

normal

A particle of mass $m$ starts moving from origin along $x$-axis and its velocity varies with position $(x)$ as $v=k \sqrt{x}$. The work done by force acting on it during first " $t$ " seconds is ………..

normal

A ball of mass $M$ falls from a height $h$ on a floor which the coefficient of restitution is $e$. The height attained by the ball after two rebounds is

normal

A body of mass $m$ is projected from ground with speed $u$ at an angle $\theta$ with horizontal. The power delivered by gravity to it at half of maximum height from ground is

normal

A mass $m$ moves with a velocity $v$ and collides inelastically with another identical mass initially at rest. After collision the first mass moves with velocity $\frac{v}{\sqrt 3}$ in a direction perpendicular to its initial direction of motion. The speed of second mass after collision is

normal