The 2-kg block B is initially at rest on the horizontal plane. After the 7.5-g b
ID: 2998133 • Letter: T
Question
The 2-kg block B is initially at rest on the horizontal plane. After the 7.5-g bullet A is fired into the block, the maximum compression in the spring is observed to be 49 mm. Determine the initial velcoity VA of the bullet, assuming the bullet becomes embedded in the block.
The 2-kg block B is initially at rest on the horizontal plane. After the 7.5-g bullet A is fired into the block, the maximum compression in the spring is observed to be 49 mm. Determine the initial velcoity VA of the bullet, assuming the bullet becomes embedded in the block.Explanation / Answer
when bullet hits the block spring compresses upto a certain distance (x) means total kinetic energy converts into the spring energy because there is no frictional force between the block and the bullet and also block is also in rest(initial velocity = 0m/s and final velocity = 0m/s)
now
(mv^2)/2=(kx^2)/2
where x is compressed distance
so , (0.0075*v^2)=(7.5*1000*0.049^2)
v=49 m/s
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