A particle of mass 2m moving with speed v collides completely inelastically with another particle of mass 3m moving in the opposite direction with speed (v)/(2) . If the magnitude of the final velocity of the combined

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Quantrex Academy · Accepted Answer

Correct answer: D. 10 : 1

By the principle of conservation of linear momentum:

m_1 v_1 + m_2 v_2 = (m_1 + m_2) v'

Taking the direction of the first particle as positive and substituting the given values:

(2m)(v) + (3m)\left(-\dfrac{v}{2}\right) = (2m + 3m)v'

2mv - \dfrac{3mv}{2} = 5mv'

\dfrac{mv}{2} = 5mv'

v' = \dfrac{v}{10}

Therefore, the ratio

v : v'

is

10 : 1

.

Answer:

10 : 1

A particle of mass 2m moving with speed v collides completely...

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