a boat of a mass 60 kg is at rest a dog of mass 6 kg moves in a Boat with velocity 15 metre per second what is a velocity of boat?( nearly )
Answers
Given : a boat of mass 60kg is at rest .
A dog of mass 6kg moves in a boat with velocity 15 m/s
To Find : velocity of the boat
Solution:
m = mass of dog = 6 kg
M = Mass of Boat = 60 kg
Total mass in Boat = mass of dog + Mass of Boat = 6 + 60 = 66 kg
v = velocity of Dog = 15 m/s
V = Velocity of Boat
Apply conservation of momentum
mv + (M + m)V = 0
=> 6(15) + ( 60 + 6)V = 0
=> 90 + 66V = 0
=> V = -90/66
=> V = -15/11
=> V = -1.36 m/s
-ve sign indicates that velocity of boat is in opposite direction.
velocity of the boat = 1.36 m/s in opposite direction
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