As a result of turning on the engine, the speed of the spacecraft increased from 7800 to 7840 m / s.

As a result of turning on the engine, the speed of the spacecraft increased from 7800 to 7840 m / s. Determine the thrust impulse of the engine if the mass of the ship is 25 tons.

m = 25 t = 25000 kg.

V1 = 7800 m / s.

V2 = 7840 m / s.

F * t -?

According to 2 Newton’s law: the thrust F of the engine is determined by the formula: m * a = F, where m is the mass of the spacecraft, a is the acceleration of the spacecraft.

Acceleration a shows how the speed changes over time and is determined by the formula: a = (V2 – V1) / t, where (V2 – V1) is the speed change, t is the time during which the speed changes.

m * (V2 – V1) / t = F.

The product of the force F by the time of its action t is called the impulse of the force.

F * t = m * (V2 – V1).

F * t = 25000 kg * (7840 m / s – 7800 m / s) = 1,000,000 N * s.

Answer: the thrust impulse of the engine is F * t = 1,000,000 N * s.