Question

fill in the blank question
a 50-kg couch is pushed by a 600 n force rightward against a constant 200 n force of friction directed leftward. the couch experiences an acceleration of ______ $m/s^{2}$ rightward (take the right direction to be positive).

Explanation:

Step1: Calculate net force

$F_{net} = F_{push} - F_{friction} = 600\ \text{N} - 200\ \text{N} = 400\ \text{N}$

Step2: Apply Newton's second law

$a = \frac{F_{net}}{m} = \frac{400\ \text{N}}{50\ \text{kg}}$

Answer:

$8$ $\text{m/s}^2$