Question

problem set 9
momentum conservation
due by the end of class
name:
problem 1: a car has a mass of 700 kg. if the velocity of the car is 5 m/s, calculate the momentum of the car.
problem 2: a pellet has a momentum of 14 kgm/s. if the mass of the pellet is 2 kg, determine its velocity.
problem 3: a deer is running through the woods with a velocity of 11 m/s. if the momentum of the deer is 330 kg m/s, calculate its mass.

Explanation:

Step1: Recall momentum formula

Momentum $p = m \times v$, where $m$ = mass, $v$ = velocity.

Step2: Solve Problem 1

Substitute $m=700\ \text{kg}$, $v=5\ \text{m/s}$
$p = 700 \times 5 = 3500\ \text{kg·m/s}$

Step3: Solve Problem 2

Rearrange formula to $v = \frac{p}{m}$. Substitute $p=14\ \text{kg·m/s}$, $m=2\ \text{kg}$
$v = \frac{14}{2} = 7\ \text{m/s}$

Step4: Solve Problem 3

Rearrange formula to $m = \frac{p}{v}$. Substitute $p=350\ \text{kg·m/s}$, $v=11\ \text{m/s}$
$m = \frac{350}{11} \approx 31.82\ \text{kg}$

Answer:

1. $3500\ \text{kg·m/s}$
2. $7\ \text{m/s}$
3. $\frac{350}{11} \approx 31.82\ \text{kg}$