Ball Spring
Oscillating ball attached to a spring?
A 110g ball attached to a spring with spring constant 2.8N/m oscillates horizontally on a frictionless table. Its velocity is 21cm/s when initial position(x knot)= 4.6cm.
What is the amplitude of oscillation?
What is the ball’s maximum acceleration?
What is the ball’s position when the acceleration is maximum?
What is the speed of the ball when x= 3.5cm?
1.
0.5(2.8)(0.046^2) + 0.5(.11)(.21^2) = 0.5(2.8)x^2
solve for x
2.
a max = amplitude * omega^2
omega^2 = 2.8 / .11
3.
at the amplitude
4.
find the total mechanical energy set equal to
0.5(2.8)(.035^2) + 0.5(.11)v^2
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