A uniform rod of length L rests on a frictionless horizontalsurface. The rod pivots about a fixed, frictionless axis at oneend.
the rod is initially at rest. A bullet travelling parallel tothe horizontal surface and perpendicular to the rod with speed vstrikes the rod at its center and becomes embedded in it. The massof the bullet is one-fourth the mass of the rod. a) What is thefinal angular speed of the rod? b) What is the ratio of the kineticenergy of teh system after the collision to the kinetic energy ofthe bullet before the collision?
1 answer:
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Answer:
The initial velocity is 50 m/s.
(C) is correct option.
Explanation:
Given that,
Time = 10 sec
For first half,
We need to calculate the height
Using equation of motion
....(I)
For second half,
We need to calculate the time
Using equation of motion
Put the value of h from equation (I)
According to question,
Put the value of t₁ and t₂
Here, g = 10
The initial velocity is
Hence, The initial velocity is 50 m/s.