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6.4 kJ of energy causes a displacement of 64 m in a body in the direction of force in 2.5 seconds. Calculate: (a) Applied force. (b) Power in horse power [Take 1 HP = 750 W]

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Question

6.4 kJ of energy causes a displacement of 64 m in a body in the direction of force in 2.5 seconds. Calculate:

  1. Applied force.
  2. Power in horse power [Take 1 HP = 750 W]
Numerical
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Solution

Give: Energy used, W = 6.4 kJ

= 6400 J

Displacement, s = 64 m

Time, t = 2.5 s

(a) Force applied:
W = F × s

F = `W/s`

= `6400/64`

= 100 N

(b) Power in horse power:

P = `W/t`

= `6400/2.5`

= 2560 W

Using 1 HP = 750 W:

Power in HP = `2560/750`

≈ 3.41 HP

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Chapter 2: Work, Power and Energy - EXERCISE [Page 32]

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Goyal Brothers Prakashan A New Approach to ICSE Physics [English] Class 10
Chapter 2 Work, Power and Energy
EXERCISE | Q 31. | Page 32
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