A1650-kg car is traveling at 38.0 m/s. how fast must a 91.0-kg bicycle and rider be traveling to have the same kinetic energy as the car?

Bicycle has a speed of 161.7 m/sec.

Given :

Mass of car = 1650 Kg

Speed = 38 m/sec

Mass of bicycle = 91 Kg

Bicycle and car travelling have same Kinetic Energy.

Solution :

Kinetic energy of the car is,

Given that both have same kinetic energy. Therefore,

Bicycle has a speed of 161.7 m/sec.

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161.7 m/s

Explanation:

The kinetic energy of the car is given by

where

m = 1650 kg is the mass of the car

v = 38.0 m/s is the speed

Substituting,

The bycicle + rider has the same kinetic energy; moreover, their combined mass is

m = 91.0 kg

So, the speed of the bike should be