# Inelastic collision: final velocity after collision

## Homework Statement

You are driving your 1000-kg car at a velocity of(19 m/s )ι^ when a 9.0-g bug splatters on your windshield. Before the collision, the bug was traveling at a velocity of (-1.5 m/s )ι^.
What is the change in velocity of the car due to its encounter with the bug?

## Homework Equations

pi = pf
m1v1 + m2v2 = (m1 + m2)v

## The Attempt at a Solution

i attempted to solve for the change in velocity using the equation outlined below and got answer of -3.0x10^-5. i know this answer is inncorrect but i cannot seem to locate my source of error
Δv=(1.9x10^4)+ (-1.35x10^-2) -19 m/s
1000 +0.009

ehild
Homework Helper

## Homework Statement

You are driving your 1000-kg car at a velocity of(19 m/s )ι^ when a 9.0-g bug splatters on your windshield. Before the collision, the bug was traveling at a velocity of (-1.5 m/s )ι^.
What is the change in velocity of the car due to its encounter with the bug?

## Homework Equations

pi = pf
m1v1 + m2v2 = (m1 + m2)v

## The Attempt at a Solution

i attempted to solve for the change in velocity using the equation outlined below and got answer of -3.0x10^-5. i know this answer is inncorrect but i cannot seem to locate my source of error
Δv=(1.9x10^4)+ (-1.35x10^-2) -19 m/s
1000 +0.009
Bring the terms of the difference to common denominator, then 1.9x10^4 cancels, and you avoid rounding errors.

Bring the terms of the difference to common denominator, then 1.9x10^4 cancels, and you avoid rounding errors.
i am unsure what you mean for me to do/ how to do that

ehild
Homework Helper
You calculate the difference ##\frac {19\cdot 1000- 1.5\cdot 0.009}{1000+0.009}-19 = \frac{19\cdot 1000- 1.5\cdot 0.009-19(1000+0.009)}{1000+0.009}##
Expand and simplify.

You calculate the difference ##\frac {19\cdot 1000- 1.5\cdot 0.009}{1000+0.009}-19 = \frac{19\cdot 1000- 1.5\cdot 0.009-19(1000+0.009)}{1000+0.009}##
Expand and simplify.
i got an answer of -1.8449 x10^-4

ehild
Homework Helper
i got an answer of -1.8449 x10^-4
It looks correct, but do not keep more than 3 significant digits.