Answer:
14869817.395 m
Explanation:
=22 microarcsecond
λ = Wavelength = 1.3 mm
Converting to radians we get

From Rayleigh Criterion

Diameter of the effective primary objective is 14869817.395 m
It is not possible to build one telescope with a diameter of 14869817.395 m. But, we need this type of telescope. So, astronomers use an array of radio telescopes to achieve a virtual diameter in order to observe objects that are the size of supermassive black hole's event horizon.
In gases, temperature relates to its kinetic energy — the hotter the gas, the faster the particles will move (for example, if we take that the formula of kinetic energy is Ek = 3/2 * k * T where k iz Boltzmanns constant and T is temperature, we see that kinetic energy — which is the energy an object has when its moving — only really depends on the temperature.)
Answer:

Explanation:
In all collisions, whether elastic or inelastic, momentum must be conserved. Therefore, we can write an equation using the conservation of momentum:

Solving for
:

*Notes:
-It's important to convert g to kg, as kg is the SI unit of mass
-The negative sign in a velocity measure represents direction
-Since the velocity we solved for is positive, it implies that the direction is to the right
Answer:
Work done, W = −287500 Joules
Explanation:
It is given that,
Mass of the car, m = 920 kg
The car is travelling at a speed of, u = 90 km/h = 25 m/s
We need to find the amount of work must be done to stop this car. The final velocity of the car, v = 0
Work done is also defined as the change in kinetic energy of an object i.e.


W = −287500 Joules
Negative sign shows the work done is done is opposite direction.
Answer:
y = 20.38 [m]
Explanation:
In order to solve these problems, we must use the following kinematics equation.

where:
Vf = final velocity = 0
Vi = initial velocity = 72 [km/h]
g = gravity acceleration = 9.81 [m/s^2]
y = vertical elevation [m]
We need to convert [km/h] to [m/s]
![72[\frac{km}{h}]*[\frac{1h}{3600s}]*[\frac{1000m}{1km} ] = 20 [m/s]](https://tex.z-dn.net/?f=72%5B%5Cfrac%7Bkm%7D%7Bh%7D%5D%2A%5B%5Cfrac%7B1h%7D%7B3600s%7D%5D%2A%5B%5Cfrac%7B1000m%7D%7B1km%7D%20%5D%20%3D%2020%20%5Bm%2Fs%5D)
Note: the negative sign of the equation means that the acceleration acts in the opposite direction to the movement of the body. And the final speed is zero, because when the body reaches the maximum height, the Stone does not move its speed has been reduced to its entirety.
0 = (20)^2 - (2*9.81*y)
20^2 = 2*9.81*y
y = 20.38 [m]