Answer:
717 Hz
Explanation:
<u>solution:</u>
The wave with three antinodes has m = 3. Thus, f_3 = 3f_1 and so the fundamental frequency of the string is
f_1 =f_3/3
=430 Hz/3
=143 Hz
Thus, the frequency of the fifth harmonic is
f_5 = 5*f_1
= 5*143 Hz
= 717 Hz
Answer:
g(h) = g ( 1 - 2(h/R) )
<em>*At first order on h/R*</em>
Explanation:
Hi!
We can derive this expression for distances h small compared to the earth's radius R.
In order to do this, we must expand the newton's law of universal gravitation around r=R
Remember that this law is:

In the present case m1 will be the mass of the earth.
Additionally, if we remember Newton's second law for the mass m2 (with m2 constant):

Therefore, we can see that

With a the acceleration due to the earth's mass.
Now, the taylor series is going to be (at first order in h/R):

a(R) is actually the constant acceleration at sea level
and

Therefore:

Consider that the error in this expresion is quadratic in (h/R), and to consider quadratic correctiosn you must expand the taylor series to the next power:

Answer:
an apple because its gaining speed as it falls
Explanation:
Answer:
The distance from the pivot point that the small child will sit in order to maintain the balance is 1.8 m
Explanation:
Given;
mass of the bigger child, M = 30 kg
mass of the smaller child, m = 20 kg
distance between the two children, d = 3 m
This information can be represented diagrammatically;
3m
|<------------------------------------------------>|
----------------------------------------------------------------------------
↓ x Δ 3-x ↓
20kg 30kg
x is the distance from the pivot point that the small child will sit in order to maintain the balance
Take moment about the pivot;
Clockwise moment = anticlockwise moment
30(3-x) = 20x
90 -30x = 20x
90 = 20x + 30x
90 = 50x
x = 90 / 50
x = 1.8 m
Therefore, the distance from the pivot point that the small child will sit in order to maintain the balance is 1.8 m
Answer:
The answer is C-Spin a magnet around the wire on the piece of iron. Hope that helps :)