Question

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 1

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

Answer 2

The centripetal force of a motorcycle that has a mass of 250kg and goes around a 13.7 m radius turn at 96.5 km/hr is 1.31 × 10⁴N

HOW TO CALCULATE CENTRIPETAL FORCE:

• The centripetal force can be calculated by using the following formula:

• F = mv²/r

Where;

1. F = centripetal force (N)
2. m = mass of the object (kg)
3. v = velocity (m/s)
4. r = radius (m)

• According to this question, a motorcycle has a mass of 250kg. It goes around a 13.7 m radius turn at 96.5 km/hr.

• First, we need to convert 96.5km/hr to m/s as follows:
• = 96.5km ×1000/1hr × 3600
• = 96,500/3,600
• v = 26.8m/s

• F = (250 × 26.8²) ÷ 13.7

• F = 179560 ÷ 13.7

• F = 13,106.6N

• F = 1.31 × 10⁴N

• Therefore, the centripetal force of a motorcycle that has a mass of 250kg and goes around a 13.7 m radius turn at 96.5 km/hr is 1.31 × 10⁴N.

Learn more about centripetal force at: https://brainly.com/question/17689540?referrer=searchResults