a 25 newton force applied on an object moves it 50 meters. the angle between the force and displacement is 40.0°. what is the value of work being done on the object? a. 0 joules b. 9.6 × 102 joules c. 1.2 × 103 joules d. -9.6 × 102 joules e. -1.2 × 103 joules
Work = force × distance × cos(angle)
work = (25)(50)(cos (40))
work = 957.56 Joules
= 9.6x10^2 Joules
The value of work being done on the object is 957.56 Joule. The correct answer is option B
The work done on the object will be the product of the force and the angular displacement. That is,
W = F x s cos 40
The parameters given are:
Force F = 25N
Distance S = 50 m
Displacement angle = 40 degree
Work done W = ?
Substitute all the parameters into the formula
W = 25 x 50cos 40
W = 25 x 38.3022
W = 957.56 Joule.
Therefore, the value of work being done on the object is 9.6 x \(10^{2}\) Joule.
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