A particle moves along x -axis from x=0 to x=5 metre under influence of a force F=7-2 x+3 x^2 . work

English

Gujarati

Hindi

5.Work, Energy, Power and Collision

normal

A particle moves along $x$-axis from $x=0$ to $x=5$ metre under the influence of a force $F=7-2 x+3 x^2$. The work done in the process is .............

A

$135$

B

$70$

C

$270$

D

$35$

Solution

(a)

$W=\int \limits_0^5 \vec{F} \cdot d x=\int \limits_0^5\left(7-2 x+3 x^2\right) d x$

$=\left[7 x-x^2+x^3\right]_0^5=135$

Standard 11

Physics

Share

Similar Questions

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 batsman hits a sixer and the ball touches the ground outside the cricket ground. Which of the following graph describes the variation of the cricket ball's vertical velocity $v$ with time between the time ${t_1}$ as it hits the bat and time $t_2$ when it touches the ground

medium

A force $F$ acting on an object varies with distance $x$ as shown in the figure. The work done by the force in moving the object from $x = 0$ to $x = 8\,m$ is ……… $J$

normal

A $15\, g$ ball is shot from a spring gun whose spring has a force constant of $600\, N\, m$. The spring is compressed by $3\, cm$. The greatest possible velocity of the ball for this compression is …………. $\mathrm{m}/ \mathrm{s}$ $(g = 10\, m/s^2$)

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