Answer:
B: Horizontally to the left
Explanation:
Horizontal velocity is always constant throughout the entire trajectory of the rocket and acts in the horizontal direction in which the rocket was launched. This is because gravity only acts in the downwards vertical direction.
So in order words at peak height, horizontal velocity is in the horizontal direction in which the rocket was launched.
So if it was to the left, then direction is left but if right, then direction is right.
Looking at the options, the most appropriate will be:
Horizontally to the left
Answer:
(a): a = 0.4m/s²
(b): α = 8 radians/s²
Explanation:
First we propose an equation to determine the linear acceleration and an equation to determine the space traveled in the ramp (5m):
a= (Vf-Vi)/t = (2m/s)/t
a: linear acceleration.
Vf: speed at the end of the ramp.
Vi: speed at the beginning of the ramp (zero).
d= (1/2)×a×t² = 5m
d: distance of the ramp (5m).
We replace the first equation in the second to determine the travel time on the ramp:
d = 5m = (1/2)×( (2m/s)/t)×t² = (1m/s)×t ⇒ t = 5s
And the linear acceleration will be:
a = (2m/s)/5s = 0.4m/s²
Now we determine the perimeter of the cylinder to know the linear distance traveled on the ramp in a revolution:
perimeter = π×diameter = π×0.1m = 0.3142m
To determine the angular acceleration we divide the linear acceleration by the radius of the cylinder:
α = (0.4m/s²)/(0.05m) = 8 radians/s²
α: angular aceleration.
To solve this problem we will apply the concepts related to the kinematic equations of linear motion. For this purpose we will define the speed as the distance traveled in a given period of time. Here the distance is equivalent to the orbit traveled around the earth, that is, a circle. Approaching the height of the aircraft with the radius of the earth, we will have the following data,
![R= 6370*10^3 m](https://tex.z-dn.net/?f=R%3D%206370%2A10%5E3%20m)
![v = 219m/s](https://tex.z-dn.net/?f=v%20%3D%20219m%2Fs)
![a = 17m/s^2](https://tex.z-dn.net/?f=a%20%3D%2017m%2Fs%5E2)
The circumference of the earth would be
![\phi = 2\pi R](https://tex.z-dn.net/?f=%5Cphi%20%3D%202%5Cpi%20R)
Velocity is defined as,
![v = \frac{x}{t}](https://tex.z-dn.net/?f=v%20%3D%20%5Cfrac%7Bx%7D%7Bt%7D)
![t = \frac{x}{v}](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7Bx%7D%7Bv%7D)
Here
, then
![t = \frac{\phi}{v} = \frac{2\pi (6370*10^3)}{219}](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7B%5Cphi%7D%7Bv%7D%20%3D%20%5Cfrac%7B2%5Cpi%20%286370%2A10%5E3%29%7D%7B219%7D)
Therefore will take
s or 506 hours, 19 minutes, 17 seconds
The relationship between gravity and pressure in a nebula is that pressure balances gravity. <span>The </span>pressure<span> exerted by a static fluid depends only upon the depth of the fluid, the density of the fluid, and the acceleration of </span><span>gravity. The answer is B. </span>
Answer:
Electrons in different metals
Explanation:
When you heat an atom, some of its electrons are "excited* to higher energy levels. When an electron drops from one level to a lower energy level, it emits a quantum of energy. The different mix of energy differences for each atom produces different colours. Each metal gives a characteristic flame emission spectrum.