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The velocity 'v' reached by a car of mas...

The velocity 'v' reached by a car of mass 'm' on moving a certain distance from the starting point when driven by a motor with constant power 'P' is such that

A

`v infty 3P/m`

B

`v^(2) infty 3P/m`

C

`v^(3) infty 3P/m`

D

`v infty (3P/m)^(2)`

Text Solution

Verified by Experts

The correct Answer is:
`(3)`

`P = F.v, P = mv^(2)(dv)/(ds), int v^(2)dv = int P/m ds`
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NARAYNA-WORK , ENERGY & POWER -EXERCISE -II (H.W)
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  2. A train of weight 10^(7)N is running on a travel track with uniform sp...

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  3. The velocity 'v' reached by a car of mass 'm' on moving a certain dist...

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  4. Two bodies of masses m(1) and m(2) (m(2) gt m(1)) are connected by a l...

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  5. An engine pumps water through a hose pipe. Water passes through the pi...

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  6. An elevator that can carry a maximum load of 1500 kg (elvator+ passeng...

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  7. A particle is projected at t = 0 from a point on the ground with cert...

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  8. The input power to an electric motor is 200 KW. Its efficiency is 80%....

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  9. The human heart discharges 75 cm^(3) of blood per beat against an aver...

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  10. A point size mass 100 gm is rotated in a vertical circle using a cord ...

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  11. A vehicle is travelling along concave road then along convex road of s...

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  12. The length of a simple pendulum is 1 m. The bob is given a velocity 7 ...

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  13. Two balls marked 1 and 2 of the same mass m and a third ball marked 3 ...

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  14. A particle of mass m moving eastward with a velocity V collides with a...

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  15. A 10 gm bullet is fired from a rifle horizontally into a 5 kg block of...

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  16. Three identical particles with velocities v0hati, -3v0hatj and 5v0hatk...

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  17. From the top of a tower of height 100 m a 10 gm block is dropped freel...

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  18. A steel ball of radius 2 cm is initially at rest. It is struck head on...

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  19. A canon shell fired breaks into two equal parts at its highest point. ...

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  20. A mass of 2.9 kg is suspended from a string of length 50 cm and is at ...

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