Question

1. what is the momentum of a car with a mass of 1,300 kg traveling north at a speed of 28 m/s?
2. a baseball has a momentum of 6.0 kg·m/s south and a mass of 0.15 kg. what is the baseballs velocity?
3. find the mass of a person walking west at a speed of 0.8 m/s with a momentum of 52.0 kg·m/s west.
4. challenge the mass of a basketball is three times greater than the mass of a softball. compare the momentums of a softball and a basketball if they both are moving at the same velocity.

Explanation:

Step1: Recall momentum formula

The formula for momentum is $p = mv$, where $p$ is momentum, $m$ is mass and $v$ is velocity.

Question 12

Step1: Identify given values

$m = 1300$ kg, $v=28$ m/s

Step2: Calculate momentum

$p=mv = 1300\times28=36400$ kg·m/s

Question 13

Step1: Rearrange momentum formula for velocity

$v=\frac{p}{m}$

Step2: Identify given values

$p = 6.0$ kg·m/s, $m = 0.15$ kg

Step3: Calculate velocity

$v=\frac{6.0}{0.15}=40$ m/s south

Question 14

Step1: Rearrange momentum formula for mass

$m=\frac{p}{v}$

Step2: Identify given values

$p = 52.0$ kg·m/s, $v = 0.8$ m/s

Step3: Calculate mass

$m=\frac{52.0}{0.8}=65$ kg

Question 15

Step1: Let mass of softball be $m_{s}$

Then mass of basketball $m_{b}=3m_{s}$
Let velocity of both be $v$.

Step2: Calculate momentum of softball

$p_{s}=m_{s}v$

Step3: Calculate momentum of basketball

$p_{b}=m_{b}v=(3m_{s})v = 3(m_{s}v)=3p_{s}$
The momentum of the basketball is three - times the momentum of the softball.

Answer:

1. 36400 kg·m/s north
2. 40 m/s south
3. 65 kg
4. The momentum of the basketball is three - times the momentum of the softball.