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Chapter 9: 9.Q. 2 (page 227)

At what speed does a 1000 kg compact car have the same kinetic energy as a 20,000 kg truck going 25 km/h?

Short Answer

Expert verified

The speed should be 11.8 km/hr.

Step by step solution

01

Given

20,000 kg truck going 25 km/h.

Mass of car is 1000 kg .

02

Explanation

The kinetic energy is calculated byKE=0.5脳m脳v2........................(1)

Use equation (1) to calculate the kinetic energy of car and truck and equate them

As given kinetic energy for car and truck is equal, so,
K.Ecar=K.Etruck

K.Ecar=0.5脳mcar脳vcar2K.Etruck=0.5脳mtruck脳v2truckNowequatethem0.5脳1000脳vcar2=0.5脳20000脳252vcar=111.804km/h

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