a rocket of mass 10000 kg is set for vertical firing if the exhaust speed of the gases is 2000m/s find the rate which the gas must be ejected to supply the thrust needed (g=10m/ssaqure
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answer is in the picture that is 50
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We know,
F= (v) x (dm/dt)...... (I)
[Force=speed x rate of mass of ejected gas]
Where, F= m x g......(II)
[Force =mass x acceleration due to gravity]
Therefore,
From equation (I) and (II);
10000x 10 =2000 x(dm/dt)
dm/dt= (10000x10)/2000
dm/dt=50kg/s.
Hence, the rate with which the gas needs to be ejected in order to provide the required amount of thrust is 50 kg/s.
Hope I helped you! :)
F= (v) x (dm/dt)...... (I)
[Force=speed x rate of mass of ejected gas]
Where, F= m x g......(II)
[Force =mass x acceleration due to gravity]
Therefore,
From equation (I) and (II);
10000x 10 =2000 x(dm/dt)
dm/dt= (10000x10)/2000
dm/dt=50kg/s.
Hence, the rate with which the gas needs to be ejected in order to provide the required amount of thrust is 50 kg/s.
Hope I helped you! :)
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