Answer:
7.04 Hz
Explanation:
x(t) = A cos(wt)
v(t) = - wA sin (wt)
Vmax = wA
E = 1/2 * m * (Vmax)^2
E = 1/2*m*(wA)^2
[tex]w = \frac{1}{A} \sqrt{\frac{2E}{m} }[/tex]
f = w/ 2*pi
[tex]f = \frac{1}{2*pi*A}*\sqrt{\frac{2E}{m} } \\f = \frac{1}{2 * pi * 0.2}*\sqrt{\frac{2(9.8)}{0.25} } \\f = 7.04 Hz[/tex]
