Jaya is on a small boat which is situated at the centre of a circular pond . The radius of pond is 30m . She wants to reach the shore and from that she throws a stone of mass 0.5kg lying on her boat with velocity 50m/s . If mass of Jaya, boat and stone together is 50.5kg , How much time will she take to reach the shore ? Assume there no friction between water and boat.
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She will take 1 min to reach the shore
• This problem follows law of conservation of momentum.
• Let M` be the combined mass
m be the mass of the stone
M be the remaining mass
• let v be the velocity of the stone
V be the resultant velocity of boat
V` be the initial velocity
• So M`V` = mv + MV
• But the boat was at rest, so
V` = 0
This means MV = -mv
• According to the question,
50 kg * V = .5 kg* 50m/s
V = 0.5 m/s
• Distance to the shore= radius
= 30 m
• time = distance/ velocity
= 30/.5 s
= 60 seconds
= 1 min
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