Question

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

Answer 1

Work = force × distance × cos(angle)

work = (25)(50)(cos (40))

work = 957.56 Joules

= 9.6x10^2 Joules

Answer 2

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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