259 Students go on a field trip. There are 19 vehicles, some vans and some buses.
1 answer:
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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:
#LearnwithBrainly
Let's start with " times a number". We will use
to represent the number.
" less than" is next.
Finally, "is ".
Put it all together to get an expression.
Now, let's solve for the unknown number.
Add on both sides of the equation.
Divide both sides of the equation by to isolate
.