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A rocket of 3xx10^(6) kg mass takes of f...

A rocket of `3xx10^(6)` kg mass takes of from a launching pad and acquires a vertical velocity of 1 km/s at an altitude of 25 km. Calculate a. the potential energy and b. the kinetic energy. (Take the value of `g=10m//s^(2)`)

Text Solution

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Mass of the rocket `m=3xx10^(6)kg`
velocity acquired by the rocket
`v=1km//s`
=1000m/s
Altitutde of the rocket h=25km `g=10m//s^(2)`
a.Potential energy of the rocket =mgh
`=3xx10^(6)xx10=25000`
`=75xx10^(10)J`
`=7.5xx10^(11)J`
b. Kinetic energy of the rocket `=1/2mv^(2)`
`=1/2xx3xx10^(6)xx(1000)^(2)J`
`=1.5xx10^(6)xx(1000)^(2)J`
`=1.5xx10^(6)xx10^(6)J`
`=1.5xx10^(12)J`
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