a horizontal force of 4N acts on a body of mass 40 kg to move it by a distance of 2cm on a table the kinetic energy acquired by the body is
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Answer:
K.E acquired by the body = 0.08 J
Explanation:
We know K.E acquired by a body is equal to the work done on the body.
Since here work done on the body is = Force × displacement = (4 × 0.02) J = 0.08 J
So K.E acquired by the body = 0.08 J.
ALTERNATIVE METHOD ;
Acceleration of the body, a = F / m = 4/40 m/s^2 = 0.1 m/s^2
Displacement of the body, s = 2 cm = 0.02 m
So from relation V^2 = U^2 + 2.a.s we get
V^2 = ( 2×0.1×0.02) = 1/250 m^2/s^2 ( since U = 0)
So K.E acquired by the body = 1/2 × ( m × V^2)
= 1/2 × ( 40 × 1/250) J
= 0.08 J
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