The mass of Cart B in the cart system is : 1 kg
Given data :
mass of cart A = 0.5 kg
Making Use of the graph attached below
we will apply the principle of energy conservation of momentum
velocity of cart A ( from 0s to 1s ) = 1.5 m/s
mass of cart A = 0.5 kg
at this point cart B is at rest
Initial momentum = 0.75 kgms ( mass * velocity )
From ( 1.2secs to 2 secs ) :
combined Velocity of Cart A and Cart B = 0.5 m/s
momentum = 0.75 kgms
Therefore combined mass of cart system
= momentum / velocity
= 0.75 / 0.5
= 1.5 kg
Therefore mass of Cart B = combined mass - mass of cart A
= 1.5 - 0.5 = 1 kg
Hence we can conclude that the mass of cart B is = 1 kg
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