Question

The free body diagram is of 3 boys each pulling on a toy cart that is NOT remaining stationary. Andrew pulls with a force A of 30 N, Benni exerts a force B of 25 N and Charles pulls with a force C of 10 N. By resolving the vectors into components, determine the force that Dumisani must exert on the cart to keep it stationary. Give your answer as an integer

Answer 1

To determine the force that ​Dumisani must exert on the cart to keep it stationary, we need to consider the vector components of the forces exerted by Andrew, Benni, and Charles.

Let's resolve the forces into horizontal and vertical components:

Andrew's force A has a horizontal component of 30 N and no vertical component.

Benni's force B has a horizontal component of 25 N and no vertical component.

Charles' force C has both horizontal and vertical components. The horizontal component is 10 N, and there is no vertical component.

For the cart to remain stationary, the net horizontal force must be zero. Therefore, Dumisani's force should cancel out the horizontal components of the other forces.

Adding the horizontal components of Andrew, Benni, and Charles: 30 N + 25 N + 10 N = 65 N

Therefore, Dumisani must exert a force of 65 N in the opposite direction to the combined horizontal components of the other forces to keep the cart stationary.

Step-by-step explanation: