Answer:
a) 0.0625
b) 0.177 m/s
Explanation:
The spring has potential energy stored, when it pushes on the ice block it will use that energy to perform work. The work will be converted into kinetic energy on the ice block.
The elastic potential energy on the spring is:
Ep = 1/2 * k * Δx^2
Ep = 1/2 * 200 * 0.025^2 = 0.0625 J
That is the energy that will be transferred as kinetic energy on the ice block.
Ec = 1/2 * m * v^2
Rearranging:
v^2 = 2 * Ec / m
Answer:
1/2 Hz
Explanation:
A simple harmonic motion has an equation in the form of
where A is the amplitude, is the angular frequency and
is the initial phase.
Since our body has an equation of x = 5cos(π t + π/3) we can equate and solve for frequency f
f = 1/2 Hz