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A particle moves along the x-axis from x...

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`

Text Solution

Verified by Experts

The correct Answer is:
D
`W =int_(0)^(5)Fdx =int_(0)^(5)(7-2x + 3x^(2)) dx`
`=135 J`
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DC PANDEY-WORK, ENERGY & POWER-Level 1 Objective
  1. Work done by force of static friction .

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  2. Work done when a force F=(hati + 2hat(j) + 3hatk) N acting on a parti...

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  3. A particle moves along the x-axis from x=0 to x=5m under the influence...

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  4. A particle moves with a velocity v=(5hati-3hatj + 6hatk) ms^(-1) under...

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  5. A pump is required to lift 800 kg of water per minute from a 10 m deep...

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  6. A ball is dropped onto a floor from a height of 10 m. If 20% of its in...

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  7. A body with mass 1kg moves in one direction in the presence of a force...

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  8. A body has kinetic energy E when projected at angle of projection for ...

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  9. A person pulls a bucket of water from a well of depth h. if the mass ...

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  10. The velocity of a particle decreases uniformly from 20 ms^(-1) to zero...

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  11. The minimum stopping distance of a car moving with velocity u is x. If...

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  12. A projectile is fired from the origin with a velocity v(0) at an angle...

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  13. A particle of mass m moves from rest under the action of a constant f...

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  14. A body moves under the action of a constant force along a straight lin...

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  15. A ball is dropped at t=0 from a height on a elastic surface. Identify ...

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  16. A block of mass 5 kg is raised from the bottom of the lake to a height...

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  17. A bode mass m is projected at an angle theta with the horizontal with...

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  18. A spring of force constant k is cut in two parts at its one-third ling...

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  19. A particle moves under the action of a force F=20hati + 15hatj along a...

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  20. A system of wedge and block as shown in figure, is released with the s...

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