What is the greatest common factor of 12, 40, and 28
1 answer:
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Answer: ≈
Step-by-step explanation:
You need to find the value of the variable "x".
To solve for "x" you need to apply the following property of logarithms:
Apply logarithm on both sides of the equation:
Now, applying the property mentioned before, you can rewrite the equation in this form:
Finally, you can apply the Division property of equality, which states that:
Therefore, you need to divide both sides of the equation by . Finally, you get:
≈
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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