Answer:
0.07103 J
Explanation:
[tex]v_m[/tex] = Maximum velocity = 3.2 m/s
m = Mass of object = 50 g
x = Compression of spring = 5.1 cm
A = Amplitude of oscillation = 6 cm
[tex]\omega[/tex] = Angular speed
The maximum velocity is given by
[tex]v_m=\omega A\\\Rightarrow \omega=\frac{v_m}{A}\\\Rightarrow \omega=\frac{3.2}{0.06}\\\Rightarrow \omega=53.33\ rad/s[/tex]
Kinetic energy of the spring is given by the expression
[tex]K=\frac{1}{2}m\omega^2(A^2-x^2)\\\Rightarrow K=\frac{1}{2}0.05\times 53.33^2(0.06^2-0.051^2)\\\Rightarrow K=0.07103\ J[/tex]
The kinetic energy of the toy when the spring is compressed is 0.07103 J