two spherical bodies of mass 20g and 24 g are moving with velocities 7m/s and 5m/same direction after colliding with each other,they stick together and move with same velocity calculate the common velocity with which they move
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Answer:
Mass of first body is m
1
=0.1 kg and its velocity before collision u
1
=1 m/s
Mass of second body is m
2
=0.4 kg and its velocity before collision u
2
=−0.1 m/s (moving in opposite direction)
Let the velocity of combined mass just after collision be V.
Using conservation of linear momentum :
m
1
u
1
+m
2
u
2
=(m
1
+m
2
)V
∴ (0.1)(1)+(0.4)(−0.1)=(0.1+0.4)V
⟹ V=0.12 m/s
Time t=10 s
Distance covered S=Vt=0.12×10=1.2 m
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