Home
Class 12
PHYSICS
A particle moves along x-axis from x=0 t...

A particle moves along x-axis from `x=0` to `x=2` m under the influence of a force F (in N) given by `F=3x^(2)+2x-5.` Calculate the work done

Text Solution

Verified by Experts

Hint : `W=int_(0)^(2)(3x^(2)+2x-5)dx`
`W=int_(0)^(2)(3x^(2)+2x-5)dx=3|(x^(3))/(3)|_(0)^(2)+2|(x^(2))/(2)|_(0)^(2)-5|x|_(0)^(2)`
`=8+4-10=2J`
Promotional Banner

Similar Questions

Explore conceptually related problems

A particle moves along X-axis from x=0 to x=1 m under the influence of a force given by F=3x^(2)+2x-10. Work done in the process is

A particle moves along X-axis from x=0 to x=1 m under the influence of a force given by F=3x^(2)+2x-10. Work done in the process is

A particle moves along the X-axis from x=0 to x=5 m under the influence of a force given by F=7-2x+3x^(2). Find the work done in the process.

A particle moves along the X-axis x=0 to x=5 m under the influence of a force given by F=10-2x+3x^(2) . Work done in the process is

A particle moves along the x-axis from x=0 to x=5m under the influence of a given by F =7-2x + 3x^(2) . The work done by the applied force to the particle is.

A particle of mass m moves on the x-axis under the influence of a force of attraction towards the origin O given by F=-(k)/(x^(2))hat(i) . If the particle starts from rest at x = a. The speed of it will attain to reach at distance x from the origin O will be

A particle of mass m moves on positive x-axis under the influence of force acting towards the origin given by -kx^2 hat i. If the particle starts from rest at x=a, the speed it will attain when it crosses the origin is

A particle moves from a point (2m, 3m, 0) to (3 m, 2m, 0) under the action of force of magnitude 5N acting along the line y= x . The work done by the force on the particle during the displacement is

A particle moves along x - axis under the action of a position dependent force F=(5x^(2)-2x)N . Work done by force on the particle when it moves from origin to x = 3 m is

A particle is moving along x-axis under the action of a force, F which varies with its position (x) as F prop x^(-1//4) . The variation of power due to this force with x is