Answer :
The period of the ball in simple harmonic motion is 0.634 s.
What is period?
Period can be defined as the time ( in seconds) taken for a body to complete one oscillation.
To calculate the period of the ball in SHM, we use the formula below.
Formula:
- T = 2π√(m/k)............... Equation 1
Where:
- T = Period of the ball
- m = mass of the ball
- k = spring constant
- π = pie
From the question,
Given:
- m = 2 kg
- k = 196 N/m
- π = 3.14
Substitute these values into equation 1
- T = 2(3.14)√(2/196)
- T = 6.28√(0.010204)
- T = 0.634 s
Hence, The period of the ball in simple harmonic motion is 0.634 s.
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