Home
Class 11
PHYSICS
A body while being acted upon by a force...

A body while being acted upon by a force `vec(F )(x)=(3x^(2)-2x+7)hat(i)` N gets displaced from x = 0 to x = 10 m in the direction of X -axis .Find the work done `[int x^(n) dx = (x^(n+1))/(n+1)]`

Text Solution

Verified by Experts

`W = int_(0)^(10) Fdx`
` :. W = int_(0)^(10) (3x^(2)-2x+7)dx`
` :. W = [(3x^(3))/3]_(0)^(10) -[(2x^(2))/2]_(0)^(10) +[7x]_(0)^(10)`
` :. W = [x^(3)]_(0)^(10) -[-x^(2)]_(0)^(10)+[7x]_(0)^(10)`
` = 1000 - 100 + 70 `
` :. W = 97 J `
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • WORK, ENERGY AND POWER

    KUMAR PRAKASHAN|Exercise SECTION - C Objective Questions (VSQs)|52 Videos

  • WORK, ENERGY AND POWER

    KUMAR PRAKASHAN|Exercise SECTION - D NCERT Exemplar Solutions (Multiple Choice Questions)|21 Videos

  • WORK, ENERGY AND POWER

    KUMAR PRAKASHAN|Exercise SECTION - B Numericals (Numerical From Textual Exercise)|42 Videos

  • WAVES

    KUMAR PRAKASHAN|Exercise SECTION-F (Questions From Module) (Sample questions for preparation of competitive exams)|23 Videos
Home
Profile