Question

Which force below does the most work? All three displacements are the same. The 10 N force. The 8 N force The 6 N force. They all do the same work. Sin60º = 0.87 cos60º = 0.50

Answer 1

THe question is missing parts. Here is the complete question.

Which force below does the most work? All three displacements are the same.

A. The 10 N force

B. The 8 N force

C. The 6 N force

D. They all do the same work

note: sin60° = 0.87

        cos60° = 0.5

Answer: C. The 6 N force

Explanation: Work (τ) is the transfer of energy to or from a system by moving an object.

Work is dependent of the force we applied to the object, the displacement it creates and the angle between the force and the displacement. In other words:

$\tau = F.d.cos \theta$

and its unit is joule [J].

For the 10 N force, angle is 90°. Cosine of 90° is 0. Therefore:

$\tau = 10.d.cos 90$

$\tau = 0$

For the 8 N force, angle is 60°. Then:

$\tau = 8.d.cos 60$

$\tau = 8d(0.5)$

$\tau = 4d$

For the 6 N force, angle is 0, because vectors displacement and force are pointing to the same direction:

$\tau = 6.d.cos 0$

$\tau=6d(1)$

$\tau=$ 6d

Comparing the work done, the force that does the most work is force 6N.