Question

A cart of mass m is pulled along a level dynamics track as shown above. A force sensor is attached to the cart with a string and used to measure the horizontal force exerted on the cart to the right. A motion sensor is used to measure the acceleration of the cart with the positive direction toward the right. FRICTION IS NOT NEGLIGIBLE. On the dot below, which represents the cart, draw and label the forces (not components) that act on the cart. Each force must be represented by a distinct arrow starting on, and pointing away from, the dot?

Answer 1

• See the picture attached with the drawing of the forces.

Step-by-step explanation:

Find the figures with the question and the answer attached.

The answer shows the free body diagram with four arrows starting on, and pointing way from, the dot.

The red vertical upward arrow, labeled
`F_N`, represents the normal force, which is the force exerted by the ground on the cart.

The red vertical downward arrow, labeled
`F_g`, represents the gravity force (weight), which is the pull that the Earth exerts of the cart.

Both vertical arrows are of the same side because the normal force and the weight are balanced (since there is not vertical acceleration).

The blue horizontal arrow pointing to the right, labeled
`F_h`, represents the horizontal pulling force exerted by the hand.

The blue horizontal arrow pointing to the left, labeled
`F_f`, represents the frictional force which is not neglicible.

Since the cart is accelerating in the positive direction, toward the right,

`F_h>F_f` and the arrow to the right is larger than the arrow to the left.