a wegan of 200 kg is moving on a smooth track with velocity of 2 metre per second a man of 80 kg is also running on wegon with a velocity such that speed of centre of mass of a system is zero find the velocity of my relative to begin in metre per second
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The relative velocity between wagon and truck is −7 m/s.
Explanation:
Velocity of centre of mass
V(com) = m(wagon) × v(wagon) + m(man) ×v(man) / [m(wagon)+m(man)]
V(com) = (200)(2)+(80)(V) / 280=0
⇒V = −5 m/s
v --> man= v --> man,wagon + v --> wagon
v--> man,wagon = v --> man−v --> wagon
= −5−2
= −7 m/s
Hence the relative velocity of wagon and truck is −7 m/s.
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