Answer to Question #91256 in Mechanics | Relativity for Umar

Question #91256
A body of mass 2kg moving with velocity of 6m/s collides with a stationary object of mass 0.5kg. If the two bodies move together after the impact, calculate their common velocity
1
Expert's answer
2019-07-01T09:29:10-0400

We can find the common velocity of the two bodies from the law of conservation of momentum:


m1v1i+m2v2i=(m1+m2)vcom,m_1v_{1i} + m_2v_{2i} = (m_1 + m_2) v_{com},

here, m1=2kgm_1 = 2 kg is the mass of the body, m2=0.5kgm_2 = 0.5 kg is the mass of the stationary object, v1i=6m/sv_{1i} = 6 m/s is the initial velocity of the body, v2i=0v_{2i} = 0 is the initial velocity of the object, vcomv_{com} is the common velocity of the system of two bodies.

Then, from this equation we can calculate the common velocity of the system of two bodies:


vcom=m1v1i(m1+m2)=2kg6ms(2kg+0.5kg)=4.8ms.v_{com} = \dfrac{m_1v_{1i}}{(m_1 + m_2)} = \dfrac{2 kg \cdot 6 \dfrac{m}{s}}{(2 kg + 0.5 kg)} = 4.8 \dfrac{m}{s}.

Answer:

vcom=4.8ms.v_{com} = 4.8 \dfrac{m}{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

Nathan
22.01.23, 21:28

Very helpful

Leave a comment

LATEST TUTORIALS
New on Blog