The time taken to perform 640 J of work at a rate of 32 W is ________.

  1. 0.5 s
  2. 10 s
  3. 20 s
  4. 40 s

Answer (Detailed Solution Below)

Option 3 : 20 s
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Detailed Solution

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Option 3 is correct.

CONCEPT:

  • Work done (W): The magnitude of the force multiplied by the distance moved by the object in the direction of the applied force is called work done.
    • The unit of work is the joule (1 J = 1 Nm).
    • Work done on an object by a force would be zero if the displacement of the object is zero.
    • It is the dot product of force and displacement.
    • It is a Scalar quantity.

W = F.s cosθ

Where F is applied force, s is displacement in the direction of force and θ is angle between force and displacement.

  • Power: It is defined as the rate of doing work/
    • The SI unit of power is Watt. (1 Watt = 1 Joule/second).

Power (P) = work (W)/time (t).

CALCULATION:

Given that:

Work done (W) = 640 J

Power (P) = 32 W

So time taken (t) = W/P = 640/32 = 20 sec.

So option 3 is correct.

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