Question

p = mv

1. what is the momentum of a car with a

mass of 1000 kg traveling at the speed of 2 m/s?

1. a baseball has a momentum of 6 kg*m/s. if the mass of the

baseball is 3kg, what is the baseballs speed?

1. what is the mass of a person walking at a speed of 2 m/s if

the persons momentum is 50 kg*m/s

1. what is the mass of a person walking at 8 m/s if that

persons momentum is 104 kg*m/s

Explanation:

Step1: Use the formula \( p = mv \)

For problem 1: \( m = 1000\,\text{kg}, v = 2\,\text{m/s} \), so \( p=1000\times2 \)

Step2: Calculate the value

\( p = 2000\,\text{kg}\cdot\text{m/s} \)

For problem 2: Given \( p = 6\,\text{kg}\cdot\text{m/s}, m = 3\,\text{kg} \), from \( p = mv \), we can get \( v=\frac{p}{m} \), so \( v=\frac{6}{3} \)

Step3: Calculate the value

\( v = 2\,\text{m/s} \)

For problem 3: Given \( p = 50\,\text{kg}\cdot\text{m/s}, v = 2\,\text{m/s} \), from \( p = mv \), we can get \( m=\frac{p}{v} \), so \( m=\frac{50}{2} \)

Step4: Calculate the value

\( m = 25\,\text{kg} \)

For problem 4: Given \( p = 104\,\text{kg}\cdot\text{m/s}, v = 8\,\text{m/s} \), from \( p = mv \), we can get \( m=\frac{p}{v} \), so \( m=\frac{104}{8} \)

Step5: Calculate the value

\( m = 13\,\text{kg} \)

Answer:

1. \( 2000\,\text{kg}\cdot\text{m/s} \)
2. \( 2\,\text{m/s} \)
3. \( 25\,\text{kg} \)
4. \( 13\,\text{kg} \)