Answer:
1) 10 kg-m/s
2) 2 kg
3) 20 m/s
Explanation:
The momentum of an object can be calculated using the equation:
[tex]\large\boxed{p=mv}[/tex]
where:
- p is momentum (measured in kilogram meters per second).
- m is mass (measured in kilograms).
- v is the velocity (measured in meters per second).
[tex]\hrulefill[/tex]
Question 1
For this question we need to find the momentum of a bowling ball whose mass is 4.0 kg is rolling at a rate of 2.5 m/s.
Given values:
Substitute the given values into the momentum formula and solve for p:
[tex]p=4.0\;\text{kg} \cdot 2.5\;\text{m/s}[/tex]
[tex]p=10\;\text{kg m/s}[/tex]
Therefore, the momentum of the bowling ball is 10 kg-m/s.
[tex]\hrulefill[/tex]
Question 2
For this question we need to find the mass of a skateboard rolling at a velocity of 3.0 m/s with a momentum of 6.0 kg-m/s.
Given values:
- p = 6.0 kg-m/s
- v = 3.0 m/s
As we want to find mass, rearrange the momentum formula to isolate m:
[tex]\large\boxed{m=\dfrac{p}{v}}[/tex]
Substitute the given values into the formula and solve for m:
[tex]m=\dfrac{6.0\; \text{kg m/s}}{3.0\; \text{m/s}}[/tex]
[tex]m=2\;\text{kg}[/tex]
Therefore, the mass of the skateboard is 2 kg.
[tex]\hrulefill[/tex]
Question 3
For this question we need to find the velocity of a baseball with a mass of 0.5 kg and a momentum of 10 kg-m/s.
Given values:
As we want to find velocity, rearrange the momentum formula to isolate v:
[tex]\large\boxed{v=\dfrac{p}{m}}[/tex]
Substitute the given values into the formula and solve for v:
[tex]v=\dfrac{10\; \text{kg m/s}}{0.5\; \text{kg}}[/tex]
[tex]v=20\;\text{m/s}[/tex]
Therefore, the velocity of the baseball is 20 m/s.
