The conservation of linear momentum equation:
We'll also use the law of conservation of energy:
, where Wnc is the work done by non-conservative forces such as friction.
For our case, Ui = 0 since there is no height (Remember U = mgh).
Wnc = 0 because there is no friction or any other non-conservative forces (we're told that the spring is on a smooth horizontal table).
After the collision, we do not have kinetic energy since the spring will be at rest.
A 15.0 kg block is attached to a very light horizontal spring of force constant 475 N/m and is resting on a smooth horizontal table. (See the figure below .) Suddenly it is struck by a 3.00 kg stone traveling horizontally at 8.00 m/s to the right, whereupon the stone rebounds at 2.00 m/s horizontally to the left.
Find the maximum distance that the block will compress the spring after the collision.(Hint: Break this problem into two parts - the collision and the behavior after the collision - and apply the appropriate conservation law to each part.)
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