Newton's Laws Unit Test

Question

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Question
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

31 N
31 N

80 N
80 N

110 N

Answer 1

To find out how much force the second mover needs to apply to help push the couch up the ramp, we can analyze the forces acting on the couch.

1. The first mover applies a force of 80 N to the right.
2. The force of friction acting against the movement of the couch is 110 N to the left.

To determine the minimum force that the second mover needs to apply, we can set up the equation for the forces acting on the couch:

Let \( F_2 \) be the force that the second mover applies.

The net force acting on the couch can be expressed as:

\[ \text{Net Force} = F_{\text{right}} - F_{\text{friction}} = (80 N + F_2) - 110 N \]

For the couch to move up the ramp, the net force must be greater than 0:

\[ (80 N + F_2) - 110 N > 0 \]

Rearranging this gives us:

\[ 80 N + F_2 > 110 N \]

Subtracting 80 N from both sides, we get:

\[ F_2 > 30 N \]

Therefore, the minimum amount of force the second mover needs to apply is 31 N to ensure the couch moves up the ramp.

So, the correct response is:

31 N