The work done by the horizontal component of force is 18.89 Joules while the vertical component of the force is 13.22 Joules.
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The work done on an object, is the product of the force F and the distance S in the direction of the force. That is,
W = F x S
The S.I unit of work is Joule
Given that a force of 36N acts at an angle of 55 degrees to the vertical. The force moves its point of application by 64 cm in the direction of the force
To calculate work done by:
(A) the horizontal component of force;
Force F = 36Sin55 = 29.489N
W = 29.489 x 64/100
W = 18.87 J
(B) the vertical component of the force;
Force F = 36Cos55 = 20.649
W = 20.649 x 64/100
W = 20.649 x 0.64
W = 13.22 J
Therefore, the work done by the horizontal component of force is 18.89 Joules while the vertical component of the force is 13.22 Joules.
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