A trolley of mass 1000 kg moving at 10 m/s collides and hooks onto another identical trolley at rest. What is the velocity of both the trolleys together?

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moalwawi moalwawi · Answer 1 · 2017-03-03T00:23:37+01:00

the answer your looking for is 100m/s

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aristocles aristocles · Answer 2 · 2019-07-20T04:57:19+02:00

Answer:

v = 5 m/s

Explanation:

As we know that mass of the trolley which is moving is given as

m = 1000 kg

its speed is given by

[tex]v_i = 10 m/s[/tex]

now we know that when external force on a system is zero then its total moment will remains conserved

so here when two trolleys will collide then there is no external force on it

so here momentum of two trolleys will remain conserved

so we can say

[tex]m_1v_1 = (m_1 + m_2) v[/tex]

here we will have

[tex]v = \frac{m_1}{m_1 + m_2} v_1[/tex]

[tex]v = \frac{1000}{1000 + 1000} 10[/tex]

[tex]v = 5 m/s[/tex]