Home
Class 11
PHYSICS
A particle moves along the X-axis x=0 to...

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

70 units

B

270 units

C

35 units

D

150 units

Text Solution

Verified by Experts

The correct Answer is:
D
(d) `W=int_(x^(1))^(x^(2))Fdx=int_(0)^(5)F.dx=int_(0)^(5)(10-2x+3x^(2))dx`
`=[10x-x^(2)+x^(3)]_(0)^(5)=150` units
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • WORK, ENERGY AND POWER

    DC PANDEY|Exercise CHECK POINT 6.2|20 Videos

  • WORK, ENERGY AND POWER

    DC PANDEY|Exercise CHECK POINT 6.3|10 Videos

  • WORK, ENERGY AND POWER

    DC PANDEY|Exercise MEDICAL ENTRACES GALLERY|33 Videos

  • WORK, ENERGY & POWER

    DC PANDEY|Exercise Level 2 Comprehension Based|2 Videos

  • WORK, POWER AND ENERGY

    DC PANDEY|Exercise E Integer Type Questions|11 Videos

Similar Questions

Explore conceptually related problems

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

Knowledge Check

  • 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
    `+4J`
    B
    `-4J`
    C
    `+8J`
    D
    `-8J`

  • 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 instantaneous power applied to the particle is.

    A
    `360 J`
    B
    `85 J`
    C
    `185 J`
    D
    `135 J`

  • 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
    45 J
    B
    36 J
    C
    32 J
    D
    42 J

    • Similar Questions

    Explore conceptually related problems

    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

    A particle moves along Y - axis from y = 0 m under the influence of a force F = (9+3y+5y)^(2) N . Calculate the work done on the particle .

    A particle is moving in x direction,under the influence of force F=pi sin pi x. Find the work done by another external agent (in J) in slowly moving a particle from x=0 to x=0.5

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

    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

    Home
    Profile