EWT | Academic Question

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Question (11)
QN0035217

A body of mass  moves with a velocity  of  along a circular path of radius . The power produced by the body will be

  • (A)

  • (B)

  • (C)

  • (D)

    zero

Correct Answer: D
Explanation:

The power of body is given by . as the body is moving in circular path, centripetal force and velocity are at , or power .

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Question (12)
QN0035218

Johnny and his sister Jane race up a hill. Johnny weighs twice as much as jane and takes twice as long as jane to reach the top . Compared to Jane 

  • (A)

    Johnny did more work and delivered more power.

  • (B)

    Johnny did more work and delivered the same amount of power.

  • (C)

    Johnny did more work and delivered less power

  • (D)

    Johnny did less work and johnny delivered less power.

Correct Answer: B
Explanation:

The work is done against gravity so it is equal to the change in potential energy.

For a fixed height, work is proportional to weight lifted. Since Johnny weighs twice as much as Jane he works twice as hard to get up the hill.

Power is work done per unit time. For Johnny this is . Jane did half the work in half the time,  which is the same power delivered by Johnny.

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Question (13)
QN0035219

A constant power  is applied to a car starting from rest. If  is the velocity of the car at time , then

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: A
Explanation:

Power,

As  is constant,  constant

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Question (14)
QN0035220

If two persons  and  take 2 seconds and 4 seconds respectively to lift an object to the same height , then the ratio of their powers is

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: C
Explanation:

94. (c) Power

Therefore power of

and power of

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Question (15)
QN0035221

A 10 H.P. motor pumps out water from a well of depth  and fills a water tank of volume 22380 litres at a height of 10  from the ground. The running time of the motor to fill the empty water tank is   

  • (A)

    5 minutes

  • (B)

    10 minutes

  • (C)

    15 minutes

  • (D)

    20 minutes

Correct Answer: C
Explanation:

Volume of water to raise

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Question (16)
QN0035222

If a machine gun fires  bullets per second each with kinetic energy , then the power of the machine gun is

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: D
Explanation:

Power  total work done

time

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Question (17)
QN0035223

A particle of mass  begins to move under the action of a time dependent force  where  and  are unit vectors along  and  axis. What power will be developed by the force at the time  ?

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: B
Explanation:

Power, .

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Question (18)
QN0035224

A force applied by an engine of a train of mass  changes its velocity from  to  in 5 minutes. The power of the engine is

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: B
Explanation:

Power


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Question (19)
QN0035225

A  long iron chain of linear mass density  is hanging freely from a rigid support. If , then the power required to left the chain upto the point of support in 10 second 

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: D
Explanation:

height of iron chain

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