Question

When riding a bike on a course of a road, you suddenly apply the front brakes to avoid an accident. Discuss this scenario with respect to the change or transfer of energies. Give special emphasis on kinetic energy..​

Answer 1

To discuss:

The scenario with respect to the change or transfer of energies while riding a bike on a course of a road, you suddenly apply the front brakes to avoid an accident.

Solution:

Now, let's imagine that we riding a bike of mass (m) with velocity "v". So, the kinetic energy will be :

$\boxed{ \sf \: KE = \dfrac{1}{2} m {v}^{2} }$

Now, suddenly a man comes in the middle of the road from the footpath and we need to to apply the brakes of the bike in order to avoid any accident.

So, brakes apply a regarding force , which brings the bike to rest before any collision can happen thereby preventing any accident.

Now, in order to stop the bike the force is doing some work. We can say that , this work done by the retarding force will be equal to the change in kinetic energy of the bike.

$\sf \therefore \: W = \Delta KE$

$\sf \implies \: W = 0 - \dfrac{1}{2} m {v}^{2}$

$\boxed{ \sf \implies \: W = - \dfrac{1}{2} m {v}^{2} }$

This is the basis of WORK-ENERGY THEOREM.

• The change in kinetic energy of the object will be utilised to perform the negative work resulting in stopping of the bike.

$\star$ Hope It Helps.