Question

question 3 of 10
an amusement park ride spins you around in a circle of radius 4.3 m with a speed of 12.3 m/s. if your mass is 95 kg, what is the centripetal force acting on you?
a. 3342 n
b. 272 n
c. 5238 n
d. 3690 n

Explanation:

Step1: Recall centripetal - force formula

The formula for centripetal force is $F = \frac{mv^{2}}{r}$, where $m$ is the mass, $v$ is the velocity, and $r$ is the radius.

Step2: Substitute given values

Given $m = 95\ kg$, $v = 12.3\ m/s$, and $r = 4.3\ m$. Substitute these values into the formula: $F=\frac{95\times(12.3)^{2}}{4.3}$.
First, calculate $(12.3)^{2}=151.29$. Then $95\times151.29 = 14372.55$. Finally, $\frac{14372.55}{4.3}\approx3342\ N$.

Answer:

A. 3342 N