A race car rounds a curve at 53 m/s. The radius of the curve is 422 m, and the car's mass is 695 kg. (Assume the car's speed remains constant. Take the radially inward direction to be positive. Indicate the direction with the sign of your answer.)
What is the centripetal force acting on the car?
+1223 The formula for circular acceleration is \(a = \frac{v^2}{r} = \frac{53 (\frac{m}{s})^2}{422 m} = 6.656 \frac{m}{s^2}\).
Therefore, the force is \(F = ma = (695 kg)(6.656 \frac{m}{s^2}) = \boxed{4625 N}\)
