.Why does it take double the applied force to move a mass double the size?
1 answer:
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Answer:
Total load = 2999.126 kg
Explanation:
Let the spring constant of the shock absorber be k.
We know that the force applied on a spring is directly proportional to elongated length and the constant of proportionality is called spring constant.
Thus
Force, F = kx
where,
x = elongation = 9.1 cm 0.091 m
mass of the people, m = 127 kg
F = weight of the people = mg = 127 x 9.8 = 1244.6 N
substituting these values in the first equation,
1244.6 = k x 0.091
thus, k = 13,676.923 N/m
Now we know that the time period, T of an oscillating spring with a load of mass m is
thus,
T = 1.66s
substituting these values in the equation,
m = 2999.126 kg