Question

Two rams run toward each other. One ram has a mass of 49 kg and runs west

with a speed of 7 m/s, while the other has a mass of 52 kg and runs east with
a speed of 9 m/s. What will the momentum of the system made up of the two
rams be after they collide? Assume the total momentum of the system is
conserved
A. 811 kg-m/s west
B. 811 kg-m/s east
C. 125 kg-m/s west
O D. 125 kg-m/s east
S

Answer 1

Answer: (d)

Step-by-step explanation:

Given

Mass of the first ram
`m_1=49\ kg`

The velocity of this ram is
`v_1=-7\ m/s`

Mass of the second ram
`m_2=52\ kg`

The velocity of this ram
`v_2=9\ m/s`

They combined after the collision

Conserving the momentum

`\Rightarrow m_1v_1+m_2v_2=(m_1+m_2)v\\\Rightarrow 49* (-7)+52* (9)=(52+49)v\\\Rightarrow v=(125)/(101)\ m/s \quad[\text{east}]`

Momentum after the collision will be

`\Rightarrow 101* (125)/(101)=125\ kg-m/s\ \text{East}`

Therefore, option (d) is correct