Answer:
x = 0.3 m
Explanation:
mass of block (Mb) = 0.3 kg
velocity of the block (v) = 1.2 m/s
force constant of the spring (k) = 4.4 N/m
from the conservation of energy
the initial kinetic energy of the block = the final spring energy
[tex]0.5mv^{2} = 0.5 kx^{2}[/tex]
m[tex]v^{2} = kx^{2}[/tex]
x = v x [tex]\sqrt{\frac{m}{k} }[/tex]
x = 1.2 x [tex]\sqrt{\frac{0.3}{4.4} }[/tex]
x = 0.3 m