Two geekie physics students with a combined mass of 127 kg jump into their old car to run out for some late night pizza. The distance between the front and back axles of the car is 2.9 m. When they get in the car, the springs compress a total of 9.9 cm. On their way to the Pizza Hut, when they go over a bump, the car oscillates up and down with a period of 1.6 seconds. 1)What is mass of the car? mcar =
stiffness k = mg / x = 127kg * 9.8m/s² / 0.099m = 12.57
kN/m
angular frequency ω = 2π / 1.6s = 3.93 rad/s
from ω = √(k/m) we get
m = k/ω² = 12.57*10^3N/m / (3.93rad/s)² = 813.86 kg
so the mass of the car is
M = (813.86- 127) kg = 686.9 kg.....Answer.
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Two geekie physics students with a combined mass of 127 kg jump into their old car...
Two people with a combined mass of 128 kg hop into an old car with worn-out shock absorbers. This causes the springs to compress by 9.80 cm . When the car hits a bump in the road, it oscillates up and down with a period of 1.74 s . Part A Find the total load supported by the springs. Part B Find the mass of the car.
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.