Question

A force of 86 N that makes an angle of 30° with the horizontal is applied to a mass of 2 kg. What work will the force do to displace the mass at a distance of 5 m?

A. 86N×30°×5m
B. 86N×cos(30°)×5m
C. 86N×sin(30°)×5m
D. 86N×5m

Answer 1

The work done by the force can be calculated using the formula Work = Force x Distance x Cos(θ). In this case, the angle between the force and the displacement is 30°. The correct answer is B. 86N×cos(30°)×5m.

Step-by-step explanation:

Work done by a force is given by the formula:

Work = Force x Distance x Cos(θ)

Where θ is the angle between the force and the displacement. In this case, the force is 86 N and the displacement is 5 m. The angle between the force and the displacement is 30°. Therefore, the work done by the force is:

Work = 86 N x 5 m x Cos(30°) = 86 N x 5 m x 0.866 = 373.5 J

So the correct answer is B. 86N×cos(30°)×5m.