A meteorite has mass of 500 kg and is composed of a metal. The temperature of the meteor is `-20^(@)C` and its speed is 10 km/hr when it is at large distance from a planet. The meteorite crashes into the planet and its entire kinetic energy gets converted into heat. This heat is equally shared between the planet and the meteorite. Assume that the heating of meteorite is uniform and the average specific heat capacity of the metal, for its solid, liquid and vapour phase, is `1200 J kg^(-1) .^(@)C^(-1)`. The latent heat of fusion and vaporization of the metal are `L_(f) = 4 xx 10^(5) J kg^(-1)` and `L_(v) = 1.1 xx 10^(7) J kg^(-1)` respectively. The melting point and boiling points are `380 .^(@)C` and `2380 .^(@)C` respectively. Find the temperature of the meteorite material immediately after the impact. Take: `G = 6.6 xx 10^(11) N m^(2) kg^(-2)`, mass of planet `M = 6 xx 10^(24) kg`, radius of planet R = 6600 km

A meteorite has mass of 500 kg and is composed of a metal. The tempera

1.	A meteorite has mass of 500 kg and is composed of a metal. The temperature of the meteor is `-20^(@)C` and its speed is 10 km/hr when it is at large distance from a planet. The meteorite crashes into the planet and its entire kinetic energy gets converted into heat. This heat is equally shared between the planet and the meteorite. Assume that the heating of meteorite is uniform and the average specific heat capacity of the metal, for its solid, liquid and vapour phase, is `1200 J kg^(-1) .^(@)C^(-1)`. The latent heat of fusion and vaporization of the metal are `L_(f) = 4 xx 10^(5) J kg^(-1)` and `L_(v) = 1.1 xx 10^(7) J kg^(-1)` respectively. The melting point and boiling points are `380 .^(@)C` and `2380 .^(@)C` respectively. Find the temperature of the meteorite material immediately after the impact. Take: `G = 6.6 xx 10^(11) N m^(2) kg^(-2)`, mass of planet `M = 6 xx 10^(24) kg`, radius of planet R = 6600 km
Answer» Correct Answer - Nearly `36400^(@)C`

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