A 1000kg rocket is fired from the ground so that exhaust speed is 400m/s. If rocket accelerates with 5ms−2 initially then fuel burning rate is
25kg/s
30kg/s
37.5kg/s
50kg/s
A
30kg/s
B
37.5kg/s
C
25kg/s
D
50kg/s
Open in App
Solution
Verified by Toppr
Given, Mass of the rocket =100kg
speed u=400m/s
Acceleration a=5m/s2
So, the rate of burning =dmdt
Thrust on the rocket F=u(dmdt).........1
Using Newton's law ma=udmdt−mg
(1000)5=(400)dmdt−1000×10
⇒dmdt=37.5kg/s
Was this answer helpful?
0
Similar Questions
Q1
A 1000kg rocket is fired from the ground so that exhaust speed is 400m/s. If rocket accelerates with 5ms−2 initially then fuel burning rate is
View Solution
Q2
A rocket of mass 4000kg is set for vertical firing. How much gas must be ejected per second so that the rocket may have initial upwards acceleration of magnitude 19.6m/s2? [Exhaust speed of fuel =980m/s]
View Solution
Q3
A rocket of initial mass 3000kg is burning fuel at the rate of 30kg/s. Find the mass of the rocket after 10s.
View Solution
Q4
A rocket is in gravity free space. A scientist wants the acceleration of the rocket to be 2m/s2. Initial mass of the rocket is 1000kg and the speed of ejection of burnt fuel w.r.t the rocket is 500m/s. Find the rate of consumption of fuel (in kg/s), so that the rocket will have an acceleration of 2m/s2.
View Solution
Q5
A rocket of mass 20kg has 180kg fuel. The exhaust velocity of the fuel is 1.6km/s. Calculate the minimum rate of ejection of fuel so that the rocket may rise from the ground. (Take g=9.8m/s2)