uestion Two movers are attempting to push a couch up a ramp. One mover applies a force of 80 N to the right, but the force of friction between the couch and the ramp is providing a force of 110 N in the opposite direction, and the couch slides down the ramp. At minimum, how much force will the second mover need to apply to help push the couch up the ramp? (1 point) Responses 30 N 30 N 110 N 110 N 31 N 31 N 80 N

Answer 1

To determine the minimum force that the second mover needs to apply, we first analyze the forces acting on the couch.

1. The first mover is pushing with a force of 80 N to the right.
2. The force of friction acting against the motion is 110 N in the opposite direction (to the left).

Since the couch is sliding down, we need to find out how much additional force is necessary to overcome the friction and push the couch up the ramp.

The total force needed to overcome the friction and start moving the couch up can be calculated as follows:

• The force of friction is 110 N acting in the negative direction.
• The first mover is applying a force of 80 N in the positive direction.

To determine the additional force needed, we can set up the equation:

Total force required = Force of friction - Force applied by the first mover.

Total force required = 110 N - 80 N = 30 N.

So, the second mover needs to apply a minimum force of 30 N upward to effectively push the couch up the ramp.

Thus, the answer is 30 N.