A cart with mass 68 kg is at rest on a floor, and it can move either to the right or to the left. Ignore frictional force except for
part (c) and (e).

(a) Michael pulls the cart to the right with 279 N of force. What is the acceleration of the cart (both magnitude and
direction)?

(b) Amanda pulls the cart to the left with 157 N of'force, and at the same time, Brittany pushes the cart to the left with 75 N
of force. What is the acceleration of the cart (both magnitude and direction)?

(c) Benjamin pushes the cart to the right with 235 N of force. There is a frictional force between the cart and the floor, and
the magnitude of the frictional force is 40 N. What is the acceleration of the cart (both magnitude and direction)? (Hint:
the direction of frictional force always points in the opposite direction from the direction of the motion of the object.)

(d) Eric and John pull the cart at the same, and the cart accelerates to the right at a rate of 1.3 m/s². What is the force (both
magnitude and direction) that Eric applies on the cart if John pulls the cart to the left with 324 N of force?

(e) Chris and Doug pull the cart at the same time, and there is a frictional force of the magnitude 25 N between the cart and
the floor. The cart accelerates to the right at a rate of 0.85 m/s². What is the force (both magnitude and direction) that
Chris applies on the cart if Doug pulls the cart to the right with 155 N of force?