A mass of 300 g oscillates on a horizontal frictionless surface at a frequency o

Question

A mass of 300 g oscillates on a horizontal frictionless surface at a frequency of 3.8 Hz and with amplitude of 5.0 cm.
Part A
What is the effective spring constant for this motion?
Express your answer using two significant figures.
ANSWER: k = ____________N/m For this I got 12 and it was wrong, because I used that to calculate part b it was also wrong.


Part B
How much energy is involved in this motion?
Express your answer using two significant figures.
ANSWER: E = __________J
Please solve all the way through and show all steps so I can see what I am doing wrong

Explanation / Answer

Mass, m = 0.3 kg

Frequency, f = 3.8 Hz

Amplitude, A = 0.05 m

part- A:

Frequency, f = ( 1 / 2 ) ( k / m )

f^2 * 4 ^2 = k / m

k = f^2 * 4 ^2 * m

   = 3.8^2 * 4 ^2 * 0.3

   = 171 N/m

   = 17 x 10^1 N/m [ with 2 significant figures ]

part - B:

Energy, E = (1/2) k A^2

               = 0.5 * 171 * 0.05^2

               = 0.214 J

               = 0.21 J [ with 2 significant figures ]

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