The frequency of a wave is the reciprocal of its period.
A period of 0.008 sec means a frequency of
1 / 0.008 sec = 125 per sec . (125 Hz)
Answer:
Explanation:
Mass of ball Is m=96.1g=0.0961kg
Height above spring is 59.1cm
L=0.591m
Extension of the spring is 4.75403cm
e=0.0475403m
Then the distance the ball traveled is H=L+e
H=0.591+0.0475403
H=0.6385403m
Then, the potential energy of the ball is given as
P.E=mgh
P.E=0.0961×9.81×0.6385403
P.E=0.602J
From conservation of energy, energy cannot be created nor destroy but can be transferred from one form to another
Then, the P.E is transferred to the work done by the spring
Then, Work done by spring is given as
W=½ke²
W=P.E=½×k×0.0475403²
0.602=½×k×0.0475403²
k=0.602×2/0.0475403²
k=532.72N/m
The spring constant is 532.72 N/m
The inverse of f(x) is (6x + 2)/x.
<h3>What is an inverse function?</h3>
The inverse function is defined as a function obtained by reversing the given function.
Given that f(x) = 2/(x-6)
To determine the inverse of a function, all you have to do is switch where x and y are and resolve for y.
So after switching x and y,
f(x) = y = 2/(x-6)
becomes
x = 2/(y - 6)
Now, we solve for y regularly.
f(x) = y = 2/(x-6)
Solve for y :
⇒ x(y - 6) =2
⇒ xy - 6x = 2
⇒ y = (6x + 2)/x
Therefore the inverse of f(x) is (6x + 2)/x
Learn more about inverse function here:
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Answer:
Number of slices of pizza is 993.
Explanation:
It is given that, in one slice of "everything" pizza there are 650 Calories. The conversion factor from calories to joules is :
1 calorie = 4.184 joules
650 calories = 2719.6 joules
Total energy in the pizza, E = 2700000 J
Let there are n number of slices of pizza. It is given by :
n = 992.79
or
n = 993
So, there are 993 slices of pizza. Hence, this is the required solution.
