Answer:
245 divided by 5.14=47.6653696 or 47.66
Explanation:
Answer:
C) True. At maximum displacement, its instantaneous velocity is zero.
Explanation:
The simple harmonic movement is given by
x = A cos wt
Speed
v = - A w sin wt
At the point of maximum displacement x = A
A = A cos wt
cos wt = 1
wt = 0
We replace the speed
v = -Aw sin 0 = A w
Speed is maximum
Let's review the claims
A) False. Speed is zero
B) False. It can be determined
C) True. Agree with our result
D) False. When one is maximum the other is minimum
Answer: When we use an analogy that represents the expanding universe with the surface of an expanding balloon, what does the inside of the balloon represent? The inside of the balloon does not represent any part of our universe.
Answer:
Same direction: t=234s; d=6.175Km
Opposite direction: t=27.53s; d=0.73Km
Explanation:
If the automobile and the train are traveling in the same direction, then the automobile speed relative to the train will be
(<em>the train must see the car advancing at a lower speed</em>), where
is the speed of the automobile and
the speed of the train.
So we have
.
So the train (<em>anyone in fact</em>) will watch the automobile trying to cover the lenght of the train L at that relative speed. The time required to do this will be:
![t = \frac{L}{v_{AT}} = \frac{1.3Km}{20Km/h} = 0.065h=234s](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7BL%7D%7Bv_%7BAT%7D%7D%20%3D%20%5Cfrac%7B1.3Km%7D%7B20Km%2Fh%7D%20%3D%200.065h%3D234s)
And in that time the car would have traveled (<em>relative to the ground</em>):
![d=v_At=(95Km/h)(0.065h)=6.175Km](https://tex.z-dn.net/?f=d%3Dv_At%3D%2895Km%2Fh%29%280.065h%29%3D6.175Km)
If they are traveling in opposite directions, <u>we have to do all the same</u> but using
(<em>the train must see the car advancing at a faster speed</em>), so repeating the process:
![v_{AT}=(95km/h)+(75Km/h)=170Km/h](https://tex.z-dn.net/?f=v_%7BAT%7D%3D%2895km%2Fh%29%2B%2875Km%2Fh%29%3D170Km%2Fh)
![t = \frac{L}{v_{AT}} = \frac{1.3Km}{170Km/h} = 0.00765h=27.53s](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7BL%7D%7Bv_%7BAT%7D%7D%20%3D%20%5Cfrac%7B1.3Km%7D%7B170Km%2Fh%7D%20%3D%200.00765h%3D27.53s)
![d=v_At=(95Km/h)(0.00765h)=0.73Km](https://tex.z-dn.net/?f=d%3Dv_At%3D%2895Km%2Fh%29%280.00765h%29%3D0.73Km)