A planet has mass 6.4×10*24kg and radius 3.4×10*6m.Calculate energy

1.	A planet has mass 6.4×1024kg and radius 3.4×106m.Calculate energy required to remove an object of mass 800kg from the surface of the planet to infinity.
Answer» Answer: 126.1 MJ/kg Explanation: Mass of PLANET = 6.4×10^24 kg Radius = 3.4×10^6 m G = 6.710^(-11) Nm^2/kg^2 The gravitational potential at surface is: P = -(GM)/r = - [6.7*10^(-11) × 6.4×10^24 ]/3.4×10^6 = - 12.61 × 10^7 = -1.261 × 10^8 J/kg P= -126.1 MJ/kg Now if 10MJ/kg work is DONE to LIFT a particle to some height from surface the potential will be -116.1 MJ/kg . So, the required work = 126.1 MJ/kg [raised to a height where gravitational potential reaches zero . From 0 to INFINITY it can not be measured ]

A planet has mass 6.4×1024kg and radius 3.4×106m.Calculate energy required to remove an object of mass 800kg from the surface of the planet to infinity.

Answer»

Answer:

126.1 MJ/kg

Explanation:

Mass of PLANET = 6.4×10^24 kg

Radius = 3.4×10^6 m

G = 6.7*10^(-11) Nm^2/kg^2

The gravitational potential at surface is:

P = -(G*M)/r

= - [6.7*10^(-11) × 6.4×10^24 ]/3.4×10^6

= - 12.61 × 10^7

= -1.261 × 10^8 J/kg

P= -126.1 MJ/kg

Now if 10MJ/kg work is DONE to LIFT a particle to some height from surface the potential will be -116.1 MJ/kg .

So, the required work = 126.1 MJ/kg

[raised to a height where gravitational potential reaches zero . From 0 to INFINITY it can not be measured ]

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