Question

question 7 of 10
an object is traveling in a circle of radius r with the centripetal force (f_{c}). if the velocity of the object is v, what is the mass of the object?
a. (m = \frac{vr}{f_{c}})
b. (m=\frac{v^{2}}{rf_{c}})
c. (m = \frac{r}{v^{2}f_{c}})
d. (m=\frac{f_{c}r}{v^{2}})

Explanation:

Step1: Recall centripetal - force formula

The centripetal - force formula is $F_{c}=m\frac{v^{2}}{r}$.

Step2: Solve for mass $m$

Multiply both sides of the equation $F_{c}=m\frac{v^{2}}{r}$ by $r$ to get $F_{c}r = m v^{2}$. Then divide both sides by $v^{2}$ to isolate $m$. So, $m=\frac{F_{c}r}{v^{2}}$.

Answer:

D. $m=\frac{F_{c}r}{v^{2}}$