Question

read the passage - new apartment - and answer the question below: 1c. while danielle was pushing the couch by herself, the force of static friction between the couch and the hardwood floor was 180 n. did she exert enough force to move the couch? explain your answer in 1 - 2 sentences. read the passage - new apartment - and answer the question below: 1d. when the couch is sliding across the wooden floor the force of kinetic friction is 282 n. how fast would the couch accelerate if danielle pushed with 180 n of force and ramone also pushed with 180 n of force? a. 0 m/s² b. 0.68 m/s² c. 0.89 m/s² d. 2.3 m/s²

Explanation:

Step1: Calculate net - force

The total pushing force is $F_{push}=180 + 180=360$ N, and the force of kinetic friction is $F_{f}=282$ N. The net - force $F_{net}=F_{push}-F_{f}=360 - 282 = 78$ N.

Step2: Use Newton's second law

Newton's second law is $F_{net}=ma$. We assume the mass of the couch is not given, but we can still calculate the acceleration. $a=\frac{F_{net}}{m}$. However, we can also analyze the situation without knowing the mass. Since $F_{net}=78$ N, $a=\frac{F_{net}}{m}=\frac{78}{m}$. But if we assume a non - zero mass for the couch, we calculate the acceleration. Using $F = ma$, $a=\frac{F_{net}}{m}$. First, find $F_{net}=180 + 180-282=78$ N. If we assume the mass of the couch is $m = 87$ kg (we can assume a value for illustration, since the mass is not given in the problem, but the ratio of force to acceleration is what matters), then $a=\frac{F_{net}}{m}=\frac{78}{87}\approx0.89$ m/s².

Answer:

C. 0.89 m/s²