Question

A race car rounds a curve at 59 m/s. The radius of the curve is 440 m, and the car's mass is 615 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.) (a) What is the car's (centripetal) acceleration? m/s2 What is it in g's? g (b) What is the centripetal force acting on the car? N

Answer 1

a = 7.91 m/s^2

not sure g means in this question, but I'll assume it stands for gravity. if that's the case, a = 0.806g

F = 4865 N

Step-by-step explanation:

work process posted above

Answer 2

Part a)

`a = 7.91 m/s^2`

Part b)

`F_c = 4865.5 N`

Step-by-step explanation:

Part a)

As we know that centripetal acceleration is given as

`a_c = (v^2)/(R)`

here we know that

`v = 59 m/s`

`R = 440 m`

now we will have

`a = (v^2)/(R)`

`a = (59^2)/(440)`

`a = 7.91 m/s^2`

Part b)

Centripetal force is given as

`F_c = ma_c`

`F_c = (615 kg)(7.91)`

`F_c = 4865.5 N`