Two people with a combined mass of 139 kg hop into an old car with worn-out shock absorbers. This causes the springs to compress by 9.20 cm . When the car hits a bump in the road, it oscillates up and down with a period of 1.73 s .
A) Find the total load supported by the springs.
B) Find the mass of the car. |
Weight of the two people = 139 x 9.8 = 1362.2 N
Compression because of this weight = 9.20 cm = 0.092 m
we know, F=Kx
here, F = Weight of 2 people , K = Spring constant and x = compression length.
Therefore
spring constant k = 1362.2/0.092 = 14806.52 N/m
a)Time period T = 1.73 s
Let M = total load supported by the springs.
we know,
or,
Or M = 1137.9 kg
= 1138 kg
Ans: 1138 kg
b) Mass of the car = total load - mass of the two people
= 1138 - 139
= 999 kg
Ans: 999 kg (Approx)
Thank you.
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