Question #43379

two moving objects have the same momentum. object 1 has three times the mass of object 2 therefore object 1 has __the velocity of object 2
the same
one third
one ninth
three times

Expert's answer

Answer on Question #43379, Physics, Mechanics | Kinematics | Dynamics

two moving objects have the same momentum. object 1 has three times the mass of object 2 therefore object 1 has _the velocity of object 2

the same

one third

one ninth

three times

**Solution.**

The definition of the momentum is:

p=mVp = m \cdot V, where mm is a mass of object, VV – its velocity.

For two moving objects we have:


p1=m1V1p_1 = m_1 \cdot V_1p2=m2V2p_2 = m_2 \cdot V_2


And p1=p2p_1 = p_2. So:


m1V1=m2V23m2V1=m2V2V1=V23m_1 \cdot V_1 = m_2 \cdot V_2 \Rightarrow 3m_2 \cdot V_1 = m_2 \cdot V_2 \Rightarrow V_1 = \frac{V_2}{3}


Answer: one third

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