When the elastic potential energy in the ruler was released it gave energy to the coin thus launching into the air. The coin got its kinetic energy from the ruler
Answer: The color of candy cane
Explanation:
An independent variable is the Variable that the scientist changed in order to change the dependent variable. The scientist changes the color of the candy cane to test the rate at which they dissolve.
The work required is Wa = 2954112 J
Given:
swimming pool diameter = 14 m
length of sides = 4 m
height of water = 3 m
To Find:
work required to pump water
Solution: The radius of the swimming pool is
r = 14/2 = 7 m
The work is mathematically given as
W = Force x distance
Now force is mathematically given as
F = density x area x height of pool = p*(πr²)dx
Now the work done to pump all of the water over the side
W = ∫p*(πr²)(H-x)dx = ∫1000*9.81*(π*7^2)(4-x)dx
W = 64000*9.8π∫(4-x) dx = 64000*9.8π{4(3) - 3/2}
W = 2954112 J
So, work required is Wa = 2954112 J
Learn more about Work here:
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You need two of them:
1). <em>Power = (work done) / (time to do the work)</em>
and
2). <em>Work = (force) x (distance)</em>
<u><em>Using the first one:</em></u>
13.3 watts = (work done) / (3 seconds)
Work done = (13.3 watts) x (3 seconds)
Work done = 39.9 joules
<u><em>Using the second one:</em></u>
39.9 joules = (force) x (4 meters)
Force = (39.9 joules) / (4 meters)
<u>Force = 9.975 Newtons</u>
Answer:
In the given equation y=Asin(ωt−kx)
Since, trigonometric function is a dimensionless quantity. So, (ωt−kx)is also dimensionless quantity.
So,
(ωt−kx)=1
ωt=1
[ω]= <u>1</u>=[T] ^−1
[T]
kx=1
[k]= <u>1</u>=[L]^ −1
[L]
