A jet aircraft is traveling at 296 m/s in horizontal flight. The engine takes in air at a rate of 103 kg/s and burns fuel at a rate of 3.86 kg/s. The exhaust gases are ejected at 757 m/s relative to the aircraft. Find the thrust of the jet engine. Answer in units of N

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Tristian Vaughan

7 February, 04:42

A jet aircraft is traveling at 296 m/s in horizontal flight. The engine takes in air at a rate of 103 kg/s and burns fuel at a rate of 3.86 kg/s. The exhaust gases are ejected at 757 m/s relative to the aircraft. Find the thrust of the jet engine. Answer in units of N

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Elvis Rogers · Answer 1

50405.02 N

Explanation:

Using Newton second law of motion

Force * time = change in momentum

Force = change in momentum / time = m₁Δv + m₂v₁

where m₁ = 103 kg/s, m₂ = 3.86 kg/s, v₁ = 757 m/s,

Force = 103 kg/s (757 - 296) + (3.86 kg/s * 757 m/s) = 47483 + 2922.02 = 50405.02 N