Adam and natalie push on a cart using 150 n of force. the cart does not move. what is static friction on the cart?

When force is applied on an object the object will not slide

So here object will remain in equilibrium after applying the force

So in this case the condition of equilibrium is maintained due to friction force that is applied on the object.

So here for equilibrium be can say

also we know that

we are given that

( applied force on the box)

So here this friction force on the cart is known as static friction

150N

Explanation:

Static friction is the friction that exists between two surfaces in contact. For a static body, the applied force (Fm) used to move the body is always equal to the frictional force(Ff) since frictional force is a force of opposition that tends to oppose the moving force acting on a static body.

According to the question, if Adam and Natalie push on a cart using 150N force, then the force of friction on the cart will be equal and opposite to the applied force and will also be equal to 150N

15.3 cos 65 degrees trig