An object is moved by a distance of 5 m by a force of 2 kgf. Find the work done by the force. Assume
that the force of gravity on 1 kg mass is 10 N.
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Explanation:
Given,
Force = 3 kgf
Load = 1 kgf
Height = 5 m
1 kgf = 9.8 N
1 kgf = 1 kg
Formula for work done is,
Work = Force × Displacement
W = F × D × cos(x)
x is angle of Displacement = 90 degree.
Displacement = 5 m.
Cos(90) = 0
Net force = 0 as change in KE = 0
Thus,
W = 3 × 5 × cos(90)
W = 0 J
Work done by net force is 0.
Work done against gravity = - (mg)h = -(3×9.8)×5 = -147 J
Work done in lifting object by hand to (F=mg) = (mg)h = (3× 9.8) × 5 = 147 J
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