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Mass of Mars: 6.4*10^23 kg

Mass of Earth: 6.0*10^23

Assume that a Mars-sized proto-planet collides with the Earth. Velocity on impact is 4 km/s.

Assume that all kinetic energy of the proto-planet is converted into heat and that the heat produced raises the temperature of the combined Earth-proto-planet system.

Heat capacity of rock: 0.8 kilojoules per kg per degree Kelvin

One joule=one kg m^2s^-2

By how many degrees would the temperature of the Earth proto-planet system be if all the kinetic energy were converted into heat

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