Question

A man pushes a lawn mower east with a force of

30 lb exerted at an angle of 30° with the ground. Find the horizontal and vertical components of the force.

Answer 1

The horizontal component of the force is approximately 25.98 lb and the vertical component of the force is approximately 15 lb.

Step-by-step explanation:

To find the horizontal and vertical components of the force exerted by the man pushing the lawn mower, we can use trigonometry. The horizontal component of the force is given by the formula Fx = F * cos(theta), where F is the magnitude of the force and theta is the angle of the force with the ground. Substituting the given values, we have Fx = 30 lb * cos(30°). The vertical component of the force is given by the formula Fy = F * sin(theta), where F is the magnitude of the force and theta is the angle of the force with the ground. Substituting the given values, we have Fy = 30 lb * sin(30°). Therefore, the horizontal component of the force is approximately 25.98 lb and the vertical component of the force is approximately 15 lb.