Question

Gary and Clark are pulling a crate using ropes. Gary pulls with a force of 110 N, 25° west of north. Clark pulls with a force of 95 N, 10° east of north. What is the net force Gary and Clark are exerting on the crate?

Answer 1

The net force exerted by Gary and Clark on the crate is determined as 63.29 N.

How to calculate the net force exerted by Gary and Clark?

The net force exerted by Gary and Clark is calculated by applying the following formula as shown below.

The sum of the forces in x - direction;

Fx = -110 x cos (25) + 95 x cos (10)

Fx = - 6.14 N

The sum of the forces in y - direction;

Fy = 110 x sin (25) + 95 x sin (10)

Fy = 62.99 N

The net force exerted by Gary and Clark is calculated as;

F = √ [(-6.14)² + (62.99)² ]

F = 63.29 N