A force of 10 N act for 20 second on a body of mass 2 kg initially at rest calculate the energy required by the body and the work done by the applied force
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10,000J is the energy required by the body.
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Answer:
F = 10N
mass = 2kg
F = ma
a = F / m = 20 / 2 = 5m/s²
acceleration (a) = 5m/s²
time (t) = 20s
initial velocity (u) = 0
displacement (s) = ut + at²/2
s = 0 + 5×20² / 2
s= 5 × 20 × 20/2
s = 5 × 20 × 10
s = 1000m
Work done = F × s
= 10×1000
= 10000j
v = u + at
v = 0 + 5×20
v = 100m/s
Kinetic energy = 1/2mv²
= 1/2 × 2 × 100
= 10000joules
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