Question

a rocket of mass 3 into 10 power 6 Kg takes of to an altitude of 25 kilometre with the vertical velocity of 1 kilometre per second.calculate the potential and kinetic energy at the time of take off respectively.

Answer 1

Mass of the Rocket,m = 3×10⁶ kg
Velocity = 1 km/s = 1000 m/s
Altitude,h= 25 km = 25×1000m
               =25000m
(a)Potential Energy=mgh
                =3 × 10⁶ × 10 × 25000
               = 75 × 10¹⁰ Joule
(b) Kinetic Energy = 1/2mv²
                             =1/2 × 3 × 10⁶ × (1000)²
                         = 1.5 × 10¹² Joule

Answer 2

Mass of the Rocket,m = 3×10⁶ kg

Velocity = 1 km/s = 1000 m/s

Altitude,h= 25 km = 25×1000m

=25000m

>>Potential Energy=mgh

=3 × 10⁶ × 10 × 25000

= 75 × 10¹⁰ Joule

>> Kinetic Energy = 1/2mv²

=1/2 × 3 × 10⁶ × (1000)²

= 1.5 × 10¹² Joule

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