A race car is moving with a speed of 20.000 m/s on a circular section of a race track that has a radius of 400 m. The race car and the driver have a mass of 1400kg. Calculate the centripetal force of a/the car.
Answer (1)
SOLUTION:Step 1: List the given values.[tex]\begin{aligned} & m = \text{1400 kg} \\ & v = \text{20.000 m/s} \\ & r = \text{400 m} \end{aligned}[/tex]Step 2: Calculate the centripetal force.[tex]\begin{aligned} F & = \frac{mv^2}{r} \\ & = \frac{(\text{1400 kg})(\text{20.000 m/s})^2}{\text{400 m}} \\ & = \boxed{\text{1400 N}} \end{aligned}[/tex]Hence, the centripetal force of the car is 1400 N.
