Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

question 6 of 25 a dog sits on a flat surface. if the dog has a mass of…

Question

question 6 of 25
a dog sits on a flat surface. if the dog has a mass of 13 kg, what is the normal force acting on it?
a. 127 n
b. 85 n
c. 41 n
d. 13 n

Explanation:

Step1: Identify forces acting on dog

The dog is at rest on a flat - surface. The forces acting on it are the gravitational force ($F_g$) downwards and the normal force ($F_N$) upwards. According to Newton's first law, since the dog is in equilibrium ($a = 0$), $F_N=F_g$.

Step2: Calculate gravitational force

The formula for gravitational force is $F_g = mg$, where $m = 13\ kg$ and $g=9.8\ m/s^2$. So, $F_g=13\times9.8 = 127.4\ N\approx127\ N$. Since $F_N = F_g$, the normal force $F_N$ is also approximately $127\ N$.

Answer:

A. 127 N