A motorcycle has a mass of 250kg. It goes around a 13.7 m radius turn at 96.5 km/hr. What is the centripetal force?

a. 2.95x10^3 Nb. 4.31x10^4Nc. 1.31x10^4 Nd. 719N

Answer: c) 1.31 * 10⁴N

Explanation:

Centripetal force is a force that causes a body to move in a circular path. The body possesses a centripetal acceleration.

According to newtons first law

Force = mass (m) * acceleration (a)

Acceleration of a body moving in a circular path = v²/r where;

v is the velocity and r is the radius

Force = MV²/r

Given m = 250kg v = 96.5km/hr r = 13.7m

We need to convert 96.5km/hr to m/s

= 96.5km * 1000/1hr * 3600

= 96,500/3,600

v = 26.8m/s

Force = 250 * 26.8²/13.7

Force = 13,106.5N

The centripetal force = 13,106.5N

= 1.31 * 10⁴N