What is the vertical distance between a trough and a crest?
2 answers:
Answer:
d. Wave Height
Explanation:
Imagine my crude drawing of a sea wave is actually passable haha, so, the top of the wave is called the crest, and the lowest part of the wave, under the calm sea level, is the Trough, the vertical distance between those two points is the wave height.
As extra credit ;) the distance between two consecutive crests or two consecutive troughs is the wavelength, and this is exactly the same in radio waves!
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Answer:
a)5.88J
b)-5.88J
c)0.78m
d)0.24m
Explanation:
a) W by the block on spring is given by
W= kx² =
(530)(0.149)² = 5.88 J
b) Workdone by the spring = - Workdone by the block = -5.88J
c) Taking x = 0 at the contact point we have U top = U bottom
So, mg =
kx² - mgx
And, = (
kx² - mgx
)/(mg) =
]/(0.645x9.8)
= 0.78m
d) Now, if the initial initial height of block is 3
= 3 x 0.78 = 2.34m
then, kx² - mgx - mg
=0
(530)x² - [(0.645)(9.8)x] - [(0.645)(9.8)(2.34) = 0
265x² - 6.321x - 14.8 = 0
a=265
b=-6.321
c=-14.8
By using quadratic eq. formula, we'll have the roots
x= 0.24 or x=-0.225
Considering only positive root:
x= 0.24m (maximum compression of the spring)