The shock absorbers for a new proton x-50 car with mass 1000 kg unfortunately have some defects. The car sinks 3.0 cm when a person with 850 N weight climbs into the car at its center of gravity. Then, when the car hits a bump on the road while it is moving, the car starts oscillating up and down in simple harmonic motion.
i. Calculate the period and the frequency of the oscillation.
a) Period: 0.0125 s, Frequency: 80 Hz
b) Period: 0.24 s, Frequency: 4.17 Hz
c) Period: 0.08 s, Frequency: 12.5 Hz
d) Period: 12.5 s, Frequency: 0.08 Hz