- #1

exponent137

- 564

- 34

Let us assume that we have inelastic collision of masses ##m_1=1## and ##m_2=k##

This means ##m_2=k m_1##.

(##k>>1##)

##v_1=v##, ##v_2=0##, Velocity after collision is ##v'##.

Units are such that ##c=1##. Let us assume that ##v_1## is close to one.

At inelastic collision we respect conservation of energy and momentum. I assume that non-kinetic energy go to thermal energy.

If the moving body is much less massive than rest body, my calculation gives:

##\Delta W=\gamma (1-v/v') +k##

##\Delta W\approx \gamma-\gamma'\approx\gamma-1##

Let us assume that speed after collision is small.

If the moving body is much more massive than rest body,

##m_1=k## and ##m_2=1##

##\Delta W=k\gamma (1-v/v') +1## and it follows:

##\Delta W\approx 1##

This means that in the rest system of the small body (before collision) we see much smaller thermal energy than in the rest system of the larger body (before collision.)

I do not understand, how to explain this.

This means ##m_2=k m_1##.

(##k>>1##)

##v_1=v##, ##v_2=0##, Velocity after collision is ##v'##.

Units are such that ##c=1##. Let us assume that ##v_1## is close to one.

At inelastic collision we respect conservation of energy and momentum. I assume that non-kinetic energy go to thermal energy.

If the moving body is much less massive than rest body, my calculation gives:

##\Delta W=\gamma (1-v/v') +k##

##\Delta W\approx \gamma-\gamma'\approx\gamma-1##

Let us assume that speed after collision is small.

If the moving body is much more massive than rest body,

##m_1=k## and ##m_2=1##

##\Delta W=k\gamma (1-v/v') +1## and it follows:

##\Delta W\approx 1##

This means that in the rest system of the small body (before collision) we see much smaller thermal energy than in the rest system of the larger body (before collision.)

I do not understand, how to explain this.

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