Answer: A 7.0-kg shell at rest explodes into two

Chapter 8, Problem 90P

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QUESTION:

Problem 90P

A 7.0-kg shell at rest explodes into two fragments, one with a mass of 2.0 kg and the other with a mass of 5.0 kg. If the heavier fragment gains 100 J of kinetic energy from the explosion, how much kinetic energy does the lighter one gain?

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QUESTION:

Problem 90P

A 7.0-kg shell at rest explodes into two fragments, one with a mass of 2.0 kg and the other with a mass of 5.0 kg. If the heavier fragment gains 100 J of kinetic energy from the explosion, how much kinetic energy does the lighter one gain?

ANSWER:

Solution  90P

Step 1 of 4:

In the given problem, before explosion the M= 7kg shell is at rest u= 0. This shell explosives into two fragment, one being heavier with mass =5 kg with kinetic energy = 100 J moving with speed and the lighter one with mass =2 kg with kinetic energy  moving with speed , here we need to calculate the  of the lighter mass after explosion

Given data,

Before explosion,

M= 7 kg

Speed, u=0

After explosion,

Heavier mass ,

Mass =5 kg

Kinetic energy  = 100 J

Speed, =?

Lighter mass,

Mass =2 kg

Kinetic energy  = ?

Speed, =?

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