Question

1. quan pushes on the left side of a couch which has a mass of 11 kg with 3n of force. margaret pushes on the same side of the couch with 4n of force. a. which way will the couch move and with how much net force? b. what is the couch’s acceleration?

Explanation:

Step1: Calculate the net force

Since both forces are in the same direction (pushing on the same side), we add them.
$F_{net}=F_1 + F_2$
$F_{net}=3N+4N$
$F_{net}=7N$
The couch will move in the direction they are pushing (the direction of the applied forces).

Step2: Calculate the acceleration

Using Newton's second law $F = ma$, we can solve for $a$.
$a=\frac{F_{net}}{m}$
Given $m = 11kg$ and $F_{net}=7N$
$a=\frac{7N}{11kg}\approx0.64m/s^{2}$

Answer:

A. The couch will move in the direction they are pushing (the direction of the applied forces) with a net force of $7N$.
B. The couch's acceleration is approximately $0.64m/s^{2}$.