A 0.300-kg block along a horizontal track has a speed of 1.20 m/s immediately before colliding with a light spring of force constant 4.40 N/m located at the end of the track. (a) What is the spring's maximum compression if the track is frictionless?

Respuesta :

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