Question
The fuel in the rocket of mass 8000kg burns at the rate of 16kg/s. What should be minimum velocity of ejecting gases w.r.t. rocket to overcome the gravity?
Solution
Here,
Mass of fuel in rocket, m0 = 8000 kg
Rate of consumtion of fuel, dm/dt = 16 kg/s
Let u be the minimum required velocity of ejecting gases to lift the rocket against gravity.
∴
8000 x 9.8 = u x 16
u = 4900 m/s
Therefore, a velocity of 4900 m/s is required for ejecting the gases.
Mass of fuel in rocket, m0 = 8000 kg
Rate of consumtion of fuel, dm/dt = 16 kg/s
Let u be the minimum required velocity of ejecting gases to lift the rocket against gravity.
∴
8000 x 9.8 = u x 16u = 4900 m/s
Therefore, a velocity of 4900 m/s is required for ejecting the gases.
