Momentum & Impulse Formulas
Impulse Problem:
- A 3.00 kg ball is accelerated from rest to speed of 10 m/s. What is the impulse?
V1=0 m/s I=F(t)=m(v2-v1)
V2= 10 m/s I=F(t)= 3 kg (10m/s - 0m/s) Answer: I= 30 kg-m/s
m= 3 kg I=3 kg (10m/s)
Explanation:
- I listed out all the variables this equation has given me. The object weighs 3 kilograms, it was at rest so I know it started with an initial velocity of 0. Then, the problem states that the object accelerated from 0 to 10 meters per second. Using this information, I replaced the variables with numbers and began to solve. Since we don't have force or time, I'll use the m(V2-V1) formula to get my answer. Furthermore, I subtracted 10 m/s with 0 m/s and got 10 m/s as my solution. Finally, I multiplied the mass by the final velocity and got an answer of 30 kg-m/s.
Momentum Problem:
- A 4,000 kg truck travels in a straight line at 10.0 m/sec. What is its momentum?
m= 4,000 kg P=m(v)
V= 10.0 m/s P= 4,000kg (10m/s)
Answer: P= 40,000 kg-m/s
Explanation:
- Like the impulse problem, I organized the variables and information given to me by the problem. This problem is a very simplistic one. I only multiplied the mass (4,000 kg) by velocity (10.0 m/s). I got an answer of 40,000 kg-m/s.
Conclusion:
- Momentum and Impulse are equal. Their equations equal one another, that's where the I= F(t)= m (V2 - V1) (momentum-impulse) equation comes from.
- A 3.00 kg ball is accelerated from rest to speed of 10 m/s. What is the impulse?
V1=0 m/s I=F(t)=m(v2-v1)
V2= 10 m/s I=F(t)= 3 kg (10m/s - 0m/s) Answer: I= 30 kg-m/s
m= 3 kg I=3 kg (10m/s)
Explanation:
- I listed out all the variables this equation has given me. The object weighs 3 kilograms, it was at rest so I know it started with an initial velocity of 0. Then, the problem states that the object accelerated from 0 to 10 meters per second. Using this information, I replaced the variables with numbers and began to solve. Since we don't have force or time, I'll use the m(V2-V1) formula to get my answer. Furthermore, I subtracted 10 m/s with 0 m/s and got 10 m/s as my solution. Finally, I multiplied the mass by the final velocity and got an answer of 30 kg-m/s.
Momentum Problem:
- A 4,000 kg truck travels in a straight line at 10.0 m/sec. What is its momentum?
m= 4,000 kg P=m(v)
V= 10.0 m/s P= 4,000kg (10m/s)
Answer: P= 40,000 kg-m/s
Explanation:
- Like the impulse problem, I organized the variables and information given to me by the problem. This problem is a very simplistic one. I only multiplied the mass (4,000 kg) by velocity (10.0 m/s). I got an answer of 40,000 kg-m/s.
Conclusion:
- Momentum and Impulse are equal. Their equations equal one another, that's where the I= F(t)= m (V2 - V1) (momentum-impulse) equation comes from.