Answer :
The amount of fuel needed to lift 1500 kg rocket to 1400 m/s in 33 seconds 353.57 kg.
According to the second law of Newton the force on the body is equal to the rate of change of momentum of the body with respect to time.
So, we can write,
F = dp/dt
F = d(mv)/dt
F = v.dm/dt + m.dv/dt
Where,
F the force on the body,
m is the mass of the body,
v is the velocity of the body which is 1400m/s.
t is the time which is 33 seconds.
The force f is equal to the weight of the body and the velocity is constant which is 1400m/s.
So, out equation becomes,
Mg = v.∆m/∆t
∆m is the mass of the fuel required,
Putting all the values,
1500 x 10 = 1400 x ∆m/33
∆m = 353.57 Kg.
So, the mass of the fuel required for the rocket is 353.57 kg.
To know more about Newton's second law, visit,
https://brainly.com/question/25545050
#SPJ4
