C) 12g/cm d) 0.2g/cm
1 answer:
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As per momentum conservation theory
If net force on a system is zero then initial momentum of the system will be equal to final momentum of that system.
Since initially coconut is at rest so initial momentum is zero
Here it break into three pieces such that two parts of same mass while third part is of double mass
now we can say
here we know that two parts fly off with same speed v0 along south and west directions
now we will have
so here magnitude of the speed of the third part will be
and the direction of the third part will be along North East direction
The fastest speed before the string breaks is 9.5 m/s
Explanation:
The motion of the block is a uniform circular motion, which is a circular motion with constant speed. The force that keeps the block in circular motion is called centripetal force; its direction is towards the centre of the circle and its magnitude is given by:
where
m is the mass of the block
v is its speed
r is the radius of the circle
In this problem, the centripetal force is provided by the tension in the string, T, so we can write:
The string breaks when the centripetal force becomes larger than the maximum tension in the string:
Re-arranging the equation for v,
and here we have:
T = 450 N
m = 10 kg
r = 2 m
Substituting,
So, the fastest speed before the string breaks is 9.5 m/s.
Learn more about circular motion:
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