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An object of mass m moves to the right with a speed v. It collides head-on with an object of mass 3m moving with speed v/3 in the opposite direction. If the two objects stick together, what is the speed of the combined object, of mass 4m, after the collision?

a. 2v
b. v/2
c. 0

Sagot :

whitneytr12

Answer:

Therefore, the correct option is c: 0.

Explanation:

We can find the speed of the combined object by conservation of linear momentum:

[tex] p_{i} = p_{f} [/tex]

[tex] m_{1}v_{1_{i}} + m_{2}v_{2_{i}} = m_{1}v_{1_{f}} + m_{2}v_{2_{f}} [/tex]

Where:

"i" is for initial and "f" is for final

m₁: is the mass of the first object = m

m₂: is the mass of the second object = 3m

v₁: is the velocity of the first object

v₂: is the velocity of the second object

[tex] mv - 3m\frac{v}{3} = (m + 3m)v_{f} [/tex]

[tex] mv - mv = 4mv_{f} [/tex]

[tex] v_{f} = 0 [/tex]

Therefore, the correct option is c: 0.

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