A body of mass 10kg is initially moving at 5m/sec. The force required to double it's velocity within 15m is
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Kinetic Energy:
==> 1/2 mv²
After doubling velocity
==> 1/2 m(2v)²
==> 1/2 4mv²
==> 2 mv²
Work Done = 2mv² - 1/2mv²
==> 4mv² - mv² / 2
==> 3mv² / 2
==> 3×10×25 / 2
==> 15 × 25
==> 375 J
Work Done = F × D
375 = F × 15
F = 375 / 15
F = 25 N
Hence, Force of 25 N is required.
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