# How far does the car travel before stopping?

#### collegegirl

1. Homework Statement

Car: mass = 200g
Moving at 30 m/s
Braking force of 10000N.
How far does the car travel before stopping?

2. Homework Equations
W=m x N
w = F (delta x)

3. The Attempt at a Solution
I found work, (2000)(10000) = 20,000,000
Then rearranged the second equation to get delta x, and got 2000 as my answer. The answer is 90m and I'm not getting it. Any suggestions?

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#### asleight

1. Homework Statement

Car: mass = 200g
Moving at 30 m/s
Braking force of 10000N.
How far does the car travel before stopping?
You can go one of two routes:

(1) $$\vec{F}=m\vec{a}$$ and $$\vec{v}_f^2=\vec{v}_i^2+2\vec{a}\Delta x$$, or

(2) $$\Delta E_k=\vec{W}$$, where $$\vec{W}=\vec{F}\Delta x$$.

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