Question: A car travels around a curve with a radius of 50 meters at a speed of 20 m/s. What is the centripetal force acting on the car as it goes around the curve?

Answer: The centripetal force can be calculated using the formula: [F_c = \dfrac{mv^2}{r}] Where: $F_c$ = centripetal force $m$ = mass of the car $v$ = speed of the car $r$ = radius of the curve

We are not given the mass of the car, so we cannot calculate the exact force. However, we can use the given information to find the centripetal force in terms of the mass of the car.

First, let's find the centripetal acceleration using the formula: [a_c = \dfrac{v^2}{r}]

Plugging in the given values: [a_c = \dfrac{(20 , m/s)^2}{50 , m} = 8 , m/s^2]

Now, we can find the centripetal force using the formula: [F_c = ma_c = m \cdot 8 , m/s^2 = 8m]

So, the centripetal force acting on the car is $8m \, N$, where $m$ is the mass of the car.

Since we do not have the mass of the car, we cannot calculate the exact centripetal force.