Answer:
15.38 m.
Explanation:
The kinetic energy of the block is equal to potential energy of spring at maximum compression
1/ 2 m V² = 1 /2 K X²
m is mass of block , V is its velocity , K is spring constant and X is maximum compression or its amplitude.
X = [tex]V\times\sqrt{\frac{m}{K} }[/tex]
Putting the values
x = [tex]79.856\times\sqrt{\frac{.717}{19.32} }[/tex]
= 15.38 m.
