# Momentum final velocity

#### mortho

1. Homework Statement
A constant force of 4.0 N to the right acts on a 3.0 kg mass for 0.45 s.

a)Find the final velocity of the mass if it is initially at rest.

b)Find the final velocity of the mass if it is initially moving along the x-axis with a velocity of 12 m/s to the left.
2. Homework Equations

F=p/t

3. The Attempt at a Solution

okay so for the a i got 0.6 using vf=Ft/m and just plugged in. but for b i don't know what to do..need your help thanks!

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#### rock.freak667

Homework Helper
First part is correct.

Use the formula $F=\frac{mv-mu}{t}$ where m is mass,v is final velocity and u is the initial velocity and t is time.(Newton's 2nd law)

Also remember that velocity is a vector quantity so you should give a direction when you are stating your answers.

#### mortho

ok i used the formula but i have a feeling i calculated it wrong..i got 28 m/s, to the left

#### rock.freak667

Homework Helper
$$v=\frac{Ft+mu}{m}$$

$$v=\frac{(4*0.45)+3*-12}{3}$$

is that what you did?

which would give you 11.4 ms$^{-1}$ to the left

#### mortho

so... -11.4 but my teacher said none of the answers are to be negative so would i still have the same answer but just without a negative sign?

#### rock.freak667

Homework Helper
Well a vector quantity has both magnitude and direction. So I just took the right as +ve and left as -ve. so the magnitude of the velocity is 11.4ms^-1

#### mortho

Thanks! i guess my teacher would just assume left and right without the signs..that was a lot of help!:)

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