Question

A desk has a mass of 100 kg and is accelerating at a magnitude of 2 m/s/s. Also, Bob has a mass of 70 kg and Mike has a mass of 65 kg. The maximum force of dynamic friction between the floor and desk is 525 N and Mike is pulling with a force of 600 N at 20°.

1. How much force does Mike exert in the X direction?

Answer 1

Mike exerts approximately 563.82 N of force in the X direction when pulling the desk with a force of 600 N at a 20° angle.

Step-by-step explanation:

To calculate the force Mike exerts in the X direction, we use the component form of force. Mike is pulling with a force of 600 N at an angle of 20° above the horizontal. To find the force in the X (horizontal) direction, we use the cosine function. Mike's force in the X direction (Fx) is given by: Fx = F * cos(θ) Fx = 600 N * cos(20°) Fx = 600 N * 0.9397 Fx = 563.82 N Therefore, the force that Mike exerts in the X direction is approximately 563.82 N, accounting for the horizontal component of the force exerted when pulling the desk.