Question

two movers are attempting to push a couch up a ramp. one mover applies a force of 75 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) 35 n 36 n 110 n 75 n

Explanation:

Step1: Analyze force directions

The friction force is 110 N down the ramp, and the first mover's force is 75 N up the ramp. To move the couch up, the total upward force (first mover + second mover) must at least equal the friction force.

Step2: Set up the force balance equation

Let \( F_2 \) be the force of the second mover. We need \( 75 + F_2 \geq 110 \).

Step3: Solve for \( F_2 \)

Subtract 75 from both sides: \( F_2 \geq 110 - 75 = 35 \). So the minimum force is 35 N.

Answer:

35 N (corresponding to the option "35 N")