Physics
30.08.2022 06:44
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Been on this problem for 2 hours now: four identical springs support equally the

Been on this problem for 2 hours now:
four identical springs support equally the weight of a 1150kg car.

if a 91kg driver gets in, the car drops 6.8mm . what is k for each spring?

the car driver goes over a speed bump, causing a small vertical oscillation. find the oscillation period, assuming the springs aren't damped.
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RoyalFox9574
RoyalFox9574
4,8(43 marks)
The weight of the driver is supported by each spring equally so each spring experiences a force of the weight/4 which is
(91 x 9.81) / 4
= 223.1775 N

The whole car lowers by 6.8 mm and since all springs are at equal heights, each spring drops down by 6.8 mm. Using
F = kx, we get F/x = k which means k = force/ extension. We need to change the units for extension which is measured in metres.
6.8 mm = 0.0068 m.

k = 223.1775/0.0068
= 32820.22 Nm^-1

This second part simple harmonic motion formulae which I'm assuming you know about.

F= ma and F = kx

ma= kx
a = kx/m since a= w^2x
w^2x = kx/m
w^2 = k/m since w= 2ฯ€/T
(2ฯ€/T)^2 = k/m
2ฯ€/T = โˆš(k/m)
T = 2ฯ€ x โˆš(m/k)

m= 1150 + 91 = 1241 kg
k = 32820.22 Nm^-1

therefore

T = 2ฯ€ x โˆš(1241/32820.22)
= 1.22 seconds
emma650
emma650
4,5(16 marks)
Wind is caused by "Convection"

In short, Your Answer would be Option C

Hope this helps!

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