Question

A car of mass 2000 kg round a curve of radius 250 m at 25 m/s calculate centripetal force and centrifugal force Act on it​

Answer 1

Answer:

5000N

Explanation:

m=2000kg , v=25m/s , r=250m

Fc=(mv^2)/r

Fc=(2000×25^2)/250

Fc=8×625

Fc=5000N

Answer 2

Given:

Mass of Car, m= 2000 Kg

Radius of curve taken by car, r= 250 m

Velocity of car, v= 25 m/s

To Find:

1. Centripetal Force
2. Centrifugal Force

Solution:

We know that,

• For a body in uniform circular motion, centripetal force Fc acting on body is given by

$\pink{\boxed{\bf{F_{c}=\dfrac{mv^{2}}{r}}}}$

where,

m is the mass of body

v is tangential velocity of body

r is the radius of the circular path

$\rule{190}{1}$

Now,

Let the centripetal force acting on car be 'F'

So,

$\longrightarrow\rm{F=\dfrac{mv^{2}}{r}}$

$\longrightarrow\rm{F=\dfrac{2000\times (25)^{2}}{250}}$

$\longrightarrow\rm{F=\dfrac{2000\times 625}{250}}$

$\longrightarrow\rm{F=\dfrac{\cancel{1250000}}{\cancel{250}}}$

$\longrightarrow\rm\green{F=5000\:N}$

So, the centripetal force acting on car is 5000 N and direction of force is towards centre or radially inward.

Now,

Centrifugal force is a virtual force that balances the centripetal force in uniform circular motion.

So,

Magnitude of centrifugal force is equal to the magnitude of centripetal force and direction of centrifugal force is opposite to the centripetal force.  

Thus, the centrifugal force acting on car is 5000 N and direction of force is away from centre or radially outwards.