Question #83764
A 9.00 kg mass is moving to the right with a velocity of 14.0 m/s. A 12.0kg mass is moving to the left with a velocity of 5.00 m/s. Assuming that these two balls have a head on collision and stick together, what will be the final velocity of the combination?
1
Expert's answer
2018-12-13T11:05:37-0500

Answer on Question 83764, Physics, Other

Question:

A 9.0 kg mass is moving to the right with a velocity of 14.0 m/s. A 12.0 kg mass is moving to the left with a velocity of 5.0 m/s. Assuming that these two balls have a head on collision and stick together, what will be the final velocity of the combination?

Solution:

We can find the final velocity of the combination from the law of conservation of momentum:

m1v1+m2v2=(m1+m2)vf,m_1v_1+m_2v_2=(m_1+m_2)v_f,

here,

m1=9.0kgm_1=9.0kg

is the mass moving to the right,

m2=12.0kgm_2=12.0 kg

is the mass moving to the left,

v1=14.0m/sv_1=14.0 m/s

is the velocity of the mass moving to the right,

v2=5.0m/sv_2=5.0 m/s

is the velocity of the mass moving to left,

vfv_f

is the final velocity of the combination.

Let's choose the direction to the right as the positive. Then, we can write:

m1v1m2v2=(m1+m2)vf,m_1v_1-m_2v_2=(m_1+m_2)v_f,vf=(m1v1m2v2)/(m1+m2).v_f=(m_1v_1-m_2v_2)/(m_1+m_2).

Finally, let's substitute the numbers:

vf=(9.0kg14.0m/s12.0kg5.0m/s)/(9.0kg+12.0kg)=3.14m/s.v_f=(9.0kg * 14.0m/s - 12.0kg * 5.0m/s)/(9.0kg + 12.0 kg)=3.14m/s.

Answer:

vf=3.14m/sv_f=3.14m/s

.

Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!
LATEST TUTORIALS
APPROVED BY CLIENTS