Answer:
15.88m/s
Explanation:
At the top of the roller coaster you will have three forces acting on the roller-coaster. See the image below. Fc is the centripetal force (for an object in circular motion), Fg is the gravitational force, and Fn is the normal force. To achieve the minimum speed we assume the roller-coaster is barely touching the vertical loop and so the normal force is zero. This leaves two acting forces.
![F_g = F_c\\mg = \frac{m\times v^2}{r}\\v = \sqrt{gr} = \sqrt{9.81 \times 25.7} = 15.88 m/s](https://tex.z-dn.net/?f=F_g%20%3D%20F_c%5C%5Cmg%20%3D%20%5Cfrac%7Bm%5Ctimes%20v%5E2%7D%7Br%7D%5C%5Cv%20%3D%20%5Csqrt%7Bgr%7D%20%3D%20%5Csqrt%7B9.81%20%5Ctimes%2025.7%7D%20%20%3D%2015.88%20m%2Fs)
Answer:
Inverted (displaced downwards)
Explanation:
The pulse becomes INVERTED upon reflecting off the boundary with the wall. That is, an upward-displaced pulse will reflect off the end and return with a downward displacement. This inversion behavior will always be observed when the end of the medium is fixed, like this wall in this instance. This INVERSION BEHAVIOR can also be observed when the medium is connected to another more heavy or more dense medium. And in this case, when the pulse reaches the end of the medium, a portion of the pulse will reflect off the end and return with an inverted displacement. The heavier medium acts like a fixed end to cause the pulse to be inverted.
Summary: a pulse reaching the end of a medium becomes inverted whenever it either:
i. reflects off a fixed end,
ii. is moving in a less dense medium and reflects off a more dense medium.
It is a scaler because it’s only fully describes by a magnitude and a numerical alone
Answer:
<h2>3</h2>
Explanation:
Using the efficiency formula. Efficiency = MA/VR * 100%
MA = Mechanical Advantage
VR = velocity ratio = ![\frac{distance\ moved\ by\ effort}{distance\ moved\ by\ load}](https://tex.z-dn.net/?f=%5Cfrac%7Bdistance%5C%20moved%5C%20by%5C%20effort%7D%7Bdistance%5C%20moved%5C%20by%5C%20load%7D)
Distance moved by effort = 4.5m
distance moved by load = 1.5m
VR = 4.5/1.5 =3
Assuming efficiency is 100% (since friction can be ignored)
100% = MA/3 * 100%
1 = MA/3
MA = 3*1
MA = 3
Mechanical Advantage of the ramp is 3