Question

consider the free - body diagram for an object accelerating across a surface. the object has a mass of 2.57 - kg. there is a forward thrust force of 44.8 n. the coefficient of friction between the object and the surface is 0.328. determine the
a. $f_{norm}$ experienced by the object.
normal force
b. $f_{frict}$ experienced by the object.
friction force
c. $f_{net}$ experienced by the object.
net force
d. acceleration of the object.
acceleration

Explanation:

Step1: Calculate normal force

Normal force equals weight: $F_{norm} = mg = 2.57\,\text{kg} \times 9.8\,\text{m/s}^2 = 25.186 \approx 25.2\,\text{N}$

Step2: Calculate friction force

Friction force: $F_{fric} = \mu F_{norm} = 0.328 \times 25.2\,\text{N} = 8.2656 \approx 8.3\,\text{N}$

Step3: Calculate net force

Net force: $F_{net} = F_{app} - F_{fric} = 44.8\,\text{N} - 8.3\,\text{N} = 36.5\,\text{N}$

Step4: Calculate acceleration

Acceleration: $a = \frac{F_{net}}{m} = \frac{36.5\,\text{N}}{2.57\,\text{kg}} \approx 14.2\,\text{m/s}^2$

Answer:

a. 25.2 N
b. 8.3 N
c. 36.5 N
d. 14.2 m/s²