To calculate the change in kinetic energy, you must know the force as a function of position. The work done by the force causes the kinetic energy change
Explanation:
The work-energy theorem states that the change in kinetic enegy of an object is equal to the work done on the object:
where the work done is the integral of the force over the position of the object:
As we see from the formula, the magnitude of the force F(x) can be dependent from the position of the object, therefore in order to solve correctly the integral and find the work done on the object, it is required to know the behaviour of the force as a function of the position, x.
We have a lot of crazy informal names for space sights. Sometimes they’re named after how they are shaped, like the Horsehead Nebula. Sometimes they have a name “borrowed” from their constellation, such as the Andromeda Galaxy. But what about our own galaxy, the Milky Way? Why does this band of stars across Earth’s sky have a name associated with food?
First, let’s back up a bit and talk a bit about what the Milky Way actually is. Astronomers believe it is a barred spiral galaxy — a galaxy with a spiral shape that has a line of stars across its middle, as you can see in the picture above. If you were to fly across the galaxy at the speed of light, it would take you an astounding 100,000 years.
The Milky Way is part of a collection of galaxies called the Local Group. We’re on a collision course with the most massive and largest member of that collection, which is the Andromeda Galaxy (also known as M31). The Milky Way is the second-largest galaxy, and the Triangulum Galaxy (M33) the third-largest. There are roughly 30 members of this group all told.
<u>Given data:</u>
wave length (λ) = 22 cm = 0.22 m,
speed of wave length(v) = 4 m/s ,
determine the frequency (f) = ?
We know that ,
wave length and frequency of light are closely related. The higher the frequency, shorter is the wavelength and vice-versa.
Mathematically, <em> λ = v/f -------------------- (i)</em>
<em> </em> where, λ = wave length (m)
v = speed of wave length (m/s)
f = frequency (Hz)
From the equation<em> </em><em>(i) </em>,<em> </em>
<em> </em><em>frequency (f) = v/λ</em>
= 4 / 0.22
= 18.18 /second
frequency (f) of the wave is 18 /sec or (18 Hz)
<em>Note:</em> frequency is defined as "<em>number of occurrences per unit time",</em> measured in<em> Hz</em>.
Answer:1207.811 KPa
Explanation:
Given
Nozzle and hose are at same level thus
Applying Bernoulli's equation
thus
Also discharge (Q)=AV