Answer:
Step-by-step explanation:
24y = 7
Our primary objective here is to get y on it's own side, without any numbers attached.
Since a 24 is attached to the y, we have to divide the 24y by 24.
Remember that whatever we do to one side, we MUST do to the other.
Since can't be simplified, that would be our answer.
Please let me know if you need help with anything else. :)
The maximum compression of the spring is 0.276 m
Step-by-step explanation:
First of all, we calculate the spring constant of the spring, by using Hooke's law:
where
F = 10 kN = 10,000 N is the force applied
x = 1.25 cm = 0.0125 m is the corresponding compression of the spring
k is the spring constant
Solving for k,
When the truck impacts with the spring, all the kinetic energy of the truck is converted into elastic potential energy of the spring, so we can write
(1)
where
m is the mass of the truck
v = 2 m/s is the initial speed of the truck
is the spring constant
x is the compression of the spring
The mass of the truck can be found from its weight:
So now we can re-arrange eq.(1) to find the compression, x:
Learn more about kinetic energy:
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