A bicyclist comes to a skidding stop in 10 m.

Question:

A bicyclist comes to a skidding stop in 10 m. During this process, the force on the bicycle due to the road is 200 N and is directly opposed

to the motion. The work done by the cycle on the road is

(a) +2000 J

(b) -200 J

(c) zero

(d) -20,000 J

Solution:

(c) As the friction is present in fhis problem, so mechanical energy is not conserved. So energy will be lost due to dissipation by friction.^Here,

work is done by the frictional force on the cycle and is equal to __

200 x 10 = -2000 J

As the road does not move at all, therefore, work done by the cycle on the road is zero.

Important point: We should be aware that here the energy of bicyclist is lost during the motion, but it is lost due to friction in the form of heat.

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