Question

A car of mass 1270 kg makes a 15.0 m radius turn at 11.8 m/s on flat ground. How much centripetal force acts on it?

Answer 1

Answer:

11789 N

Explanation:

The following data were obtained from the question:

Mass (m) = 1270 kg

Radius (r) = 15 m

Velocity (v) = 11.8 m/s

Centripetal force (F) =?

The centripetal force that acted on the car can be obtained by using the following formula:

F = mv²/r

Where:

F is the centripetal force.

m is the mass.

v is the velocity.

r is the radius.

Thus, with the above formula, we can obtain the centripetal force as follow:

Mass (m) = 1270 kg

Radius (r) = 15 m

Velocity (v) = 11.8 m/s

Centripetal force (F) =?

F = mv²/r

F = 1270 × 11.8² / 15

F = 1270 × 139.24 / 15

F = 176834.8 / 15

F = 11789 N

Therefore, the centripetal force that acted on the car is 11789 N