A mass 5-kilogram attached to end of a spring that is stretched 20 cm by a force of 9N. It is set in motion with initial position x(0)=0 and velocity v(0)= -10 m/s. Find the amplitude and the frequency of the resulting motion.
A mass 5-kilogram attached to end of a spring that is stretched 20 cm by a force of 9N. It is set in motion with initial position x(0)=0 and velocity v(0)= -10 m/s. Find the amplitude and the frequency of the resulting motion.
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Transcribed Image Text:**Problem Statement:**
A mass of 5 kilograms is attached to the end of a spring that is stretched 20 cm by a force of 9 N. It is set in motion with an initial position \( x(0) = 0 \) and velocity \( v(0) = -10 \, \text{m/s} \). Find the amplitude and the frequency of the resulting motion.
**Options:**
a. Amplitude = 3 m, freq. = \( \frac{5}{2\pi} \) Hz
b. Amplitude = 3 m, freq. = \( \frac{3}{2\pi} \) Hz
c. Amplitude = \( \frac{5}{3} \) m, freq. = \( \frac{3}{2\pi} \) Hz
d. Amplitude = \( \frac{10}{3} \) m, freq. = \( \frac{3}{2\pi} \) Hz
**Answer Choices:**
- ○ a
- ○ b
- ○ c
- ○ d
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