Question

A 20.0kg cart travels at 10.0 m/s in a circle with a radius of 15.0 m. What is the centripetal force?
3.00 N
30.0 N
13.3 N
133 N

Answer 1

Net centripetal force is given by the product of mass and centripetal acceleration

Here we know that

mass (m) = 20 kg

speed (v) = 10 m/s

radius (R) = 15 m

So here we can say that centripetal acceleration is given as

$a_c = \frac{v^2}{R}$

$a_c = \frac{10^2}{15}$

$a_c = 6.67 m/s^2$

now from the formula of force

$F = ma$

$F = 20 * 6.67 = 133.4 N$

so correct answer would be 133 N