# Force to stop a space ship

**1. The problem statement, all variables and given/known data**

A spaceship is accelerating at ##1000# m/(sec per sec). How much force is required from the backthrusters to completely stop the spaceship?

**2. Relevant equations**

**3. The attempt at a solution**

Let’s assume the spaceship has mass ##m## and no mass is lost when firing the backthrusters.

Using Newtons second, we have

$$

\sum F = 1000m.

$$

The only force would be the velocity from the backthrusters correct?

So we have

$$

-v_0x = 1000m.

$$

Is this correct? How do I find the force needed to stop the ship?

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