Question

problem 1: a car of mass 1050 kg is turning in a circular path around a curve. if the car is going 20 m/s and the radius of the circular arc is 530 m, find the centripetal force on the car by the road. note this force is the frictional force of the road on the car.

Explanation:

Step1: Recall centripetal - force formula

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

Step2: Substitute given values

We are given that $m = 1050\ kg$, $v = 20\ m/s$, and $r = 530\ m$. Substitute these values into the formula: $F=\frac{1050\times(20)^{2}}{530}$.

Step3: Calculate the value

First, calculate $(20)^{2}=400$. Then, $1050\times400 = 420000$. Now, $F=\frac{420000}{530}\approx 792.45\ N$.

Answer:

$792.45\ N$