a bullet having a mass of 10 g and moving with the speed of 1.5 m/s, penertratea thick wodden plank of mass 900g .The plank intAlly was at rest . the bullet embedded in the plank and both move together. determine the velocity
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Answer:
Given:
Mass of bullet(m1) = 10g = 10/1000 kg
= 0.010 kg
Mass of plank(m2) = 90g = 0.090 kg
Initial velocity of bullet (u1) = 1.5 m/s
Initial velocity of plank(u2) = 0 m/s
We have to find,
The final velocity (v1 and v2) = ?
Let the common velocities of the bullet and plank .
v1 = v2 = v
by using the formula,
m1u1 + m2u2 = m1v1 + m2v2
By putting the values,
(0.01 x 1.5) + (0.09 x 0) = (0.01 x v) + (0.09 x v)
0.015 + 0 = v(0.01 + 0.09)
0.015 = 0.1v
v = 0.015/0.1
v = 0.15 m/s
Therefore, the plank moves with a velocity of 0.15 m/s.
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Explanation:
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