Question

a car running on a circular part of highway having 1000m radius. the mass of car is 600kg and its velocity is 72kmh.find
(1) centripetal force exerted by the car.
(2) centripetal acceleration of car

Answer 1

Answer:

3334569993987464992774

Answer 2

Given: A car running on a circular part of highway having 1000 m radius. The mass of car is 600kg and its velocity is 72kmph.

To find: 1- Centripetal force exerted by the car

2- Centripetal acceleration of the car

Explanation: Let the mass of the car me m, radius of the car be r and velocity of the car be v.

m= 600 kg

r = 1000 m

v ( in kmph) = 72 kmph

To change this speed given in kmph to metre per second, we multiply the given quantity by 5/18.

v ( in m/s) = 72 * 5/18

= 4*5 m/s

= 20 m/s

Centripetal force is the force that is required to keep the body moving in circular motion.

The formula for centripetal force is:

=$\frac{m {v}^{2} }{r}$

=$\frac{600 \times {20}^{2} }{1000}$

=$\frac{600 \times 400}{1000}$

=240 N

The formula for centripetal acceleration is:

=$\frac{ {v}^{2} }{r}$

=$\frac{ {20}^{2} }{1000}$

=$\frac{400}{1000}$

=0.4 m/s^2

Therefore, the centripetal force is 240 N and centripetal acceleration is 0.4 m/s^2.