A space capsule needs to have its speed inceased slightly to set it on course.A spaceship moves up slowly to the capsule, and makes contact with it.The spaceship's rocket engine is fired for 10s. The gases exert a forward force of 12000n on the spaceship during the time the engine is fired.Calculate the change in speed of capsule as a result of the action describe, given that the mass of the spaceship is 4 800 kg and the mass of the capsule is 1200 kg

To calculate the change in speed of the capsule, we can use Newton's second law of motion, which states that the force applied to an object is equal to the product of its mass and the acceleration produced. In this case, we need to find the acceleration produced on the capsule by the force exerted by the spaceship's rocket engine.

First, let's calculate the acceleration produced by the force on the spaceship using Newton's second law:

Force = Mass x Acceleration

Acceleration = Force / Mass
Acceleration = 12000 N / 4800 kg
Acceleration = 2.5 m/s²

Now, since the spaceship is in contact with the capsule, the acceleration produced by the spaceship's rocket engine will also be the acceleration experienced by the capsule. Therefore, we can use this acceleration to calculate the change in speed of the capsule.

The change in speed (Δv) can be calculated using the following formula:

Δv = a x t

where "a" is the acceleration and "t" is the time.

Given that the acceleration is 2.5 m/s² and the time the engine is fired is 10 seconds, we can substitute these values into the formula:

Δv = 2.5 m/s² x 10 s
Δv = 25 m/s

Therefore, the change in speed of the capsule as a result of the action described is 25 m/s.