-1 3/8 ÷ ( -1 4/7) =
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The perimeter of a shape is the sum of its side lengths
The expressions for the perimeter of the frame are 4(l + 2) and 4l + 8
<h3>How to determine the perimeter of the shape</h3>The side length of the frame is given as l
So, the perimeter of the frame is
:
When 2 inches are added to each length, the perimeter of the frame becomes
Expand
Hence, the expressions for the perimeter of the frame are 4(l + 2) and 4l + 8
Read more about perimeter at:
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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