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Find acceleration of 4 kg & 6 kg in the given scenario.
5 ms-2
Answers
Explanation:
11th
Physics
Laws of Motion
Application of Newton's Laws of Motion
Two masses of 6 Kg and 4 Kg...
PHYSICS
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Asked on December 26, 2019 by
Veronica Tbhat
Two masses of 6 Kg and 4 Kg are connected to the two ends of a light inextensible string that goes over a frictionless pulley. Find the acceleration of the masses and the tension in the string when the masses are released. Take g=10ms
−2
.
HARD
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ANSWER
Since 6kg is heavier than 4 kg so it will accelerate down while 4 kg will accelerate up
So the equation of net force on 6kg is given as
6×10−T=6a
equation of net force on 4kg is given as
T−4×10=4a
now add the above two equations
6×10−(4×10)=(6+4)×a
60 - 40 = 10a
a = 2m/s
2
So 6 kg will accelerate downwards while 4 kg will accelerate upwards
with acceleration 2 m/s
2
now in order to find the tension force
T−4×10=4×2
T = 48N
So the tension in the string is 48 N
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☆☞ [ Verified answer ]☜☆
Assuming negligible friction
As mass of the system=1+4 kg=5kg.
As F=m*a
Thus acceleration of system=15/5=3m/s^2
As tension force is only force acting on 1 kg. block bringing an acceleration of 3 m/s^2
As Fm**acc
T=1kg.*3m/s^2=3 N
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