Answer:
253 years
Explanation:
a = Distance in Astronomical units from the sun = 40 AU
P = Orbital period in years
From Kepler's law we have
![P^2=a^3](https://tex.z-dn.net/?f=P%5E2%3Da%5E3)
![\Rightarrow P^2=40^3](https://tex.z-dn.net/?f=%5CRightarrow%20P%5E2%3D40%5E3)
![\Rightarrow P^2=64000](https://tex.z-dn.net/?f=%5CRightarrow%20P%5E2%3D64000)
![\Rightarrow P=\sqrt{64000}](https://tex.z-dn.net/?f=%5CRightarrow%20P%3D%5Csqrt%7B64000%7D)
![\Rightarrow P=252.982212813](https://tex.z-dn.net/?f=%5CRightarrow%20P%3D252.982212813)
![\Rightarrow P\approx 253\ years](https://tex.z-dn.net/?f=%5CRightarrow%20P%5Capprox%20253%5C%20years)
The orbital period of the Kuiper belt object is 253 years.
I would say A classical conditioning definitely demands a pairing of two stimuli
hope i helped
You would gravitate towards Jupiter because if it’s large mass it has a stronger gravitational pull
Answer:
a) # lap = 301.59 rad
, b) L = 90.48 m
Explanation:
a) Let's use a direct proportions rule (rule of three). If one turn of the wire covers 0.05 cm, how many turns do you need to cover 24 cm
# turns = 1 turn (24 cm / 0.5 cm)
# laps = 48 laps
Let's reduce to radians
# laps = 48 laps (2 round / 1 round)
# lap = 301.59 rad
b) Each lap gives a length equal to the length of the circle
L₀ = 2π R
L = # turns L₀
L = # turns 2π R
L = 48 2π 30
L = 9047.79 cm
L = 90.48 m
Answer:
0.786 Hz, 1.572 Hz, 2.358 Hz, 3.144 Hz
Explanation:
The fundamental frequency of a standing wave on a string is given by
![f=\frac{1}{2L}\sqrt{\frac{T}{\mu}}](https://tex.z-dn.net/?f=f%3D%5Cfrac%7B1%7D%7B2L%7D%5Csqrt%7B%5Cfrac%7BT%7D%7B%5Cmu%7D%7D)
where
L is the length of the string
T is the tension in the string
is the mass per unit length
For the string in the problem,
L = 30.0 m
![\mu=9.00\cdot 10^{-3} kg/m](https://tex.z-dn.net/?f=%5Cmu%3D9.00%5Ccdot%2010%5E%7B-3%7D%20kg%2Fm)
T = 20.0 N
Substituting into the equation, we find the fundamental frequency:
![f=\frac{1}{2(30.0)}\sqrt{\frac{20.0}{(9.00\cdot 10^{-3}}}=0.786 Hz](https://tex.z-dn.net/?f=f%3D%5Cfrac%7B1%7D%7B2%2830.0%29%7D%5Csqrt%7B%5Cfrac%7B20.0%7D%7B%289.00%5Ccdot%2010%5E%7B-3%7D%7D%7D%3D0.786%20Hz)
The next frequencies (harmonics) are given by
![f_n = nf](https://tex.z-dn.net/?f=f_n%20%3D%20nf)
with n being an integer number and f being the fundamental frequency.
So we get:
![f_2 = 2 (0.786 Hz)=1.572 Hz](https://tex.z-dn.net/?f=f_2%20%3D%202%20%280.786%20Hz%29%3D1.572%20Hz)
![f_3 = 3 (0.786 Hz)=2.358 Hz](https://tex.z-dn.net/?f=f_3%20%3D%203%20%280.786%20Hz%29%3D2.358%20Hz)
![f_4 = 4 (0.786 Hz)=3.144 Hz](https://tex.z-dn.net/?f=f_4%20%3D%204%20%280.786%20Hz%29%3D3.144%20Hz)