Explanation:
Let magnitude of the two forces be x and y.
Resultant at right angle R1= √15N) and at
60 degrees be R2= √18N.
Now, R1 = √(x² + y²) = √15,
R2= √(x² + y² +2xycos50) = √18.
So x² + y² = 15,
and x² + y² + 1.29xy = 18,
therefore 1.29xy = 3,
y = 3/1.29x.
y = 2.33/x
Now, x2 + (2.33/x)2 = 15,
x² + 5.45/x² = 15
multiply through by x²
x⁴ + 5.45 = 15x²
x⁴ - 15x2 + 5.45 = 0
Now find the roots of the equation, and later y. The two values of x will correspond to the
magnitudes of the two vectors.
Good luck
Elastic collision is when kinetic energy before = kinetic energy after
Ek= 1/2mv^2
total before
Ek=1/2(2)(2.2^2) = 4.84 J
total after
Ek= 1/2(2+4)(v^2) = 3v^2
Before = after
4.84=3v^2 | divide by 3
121/75 = v^2 | square root both sides
v=1.27 m/s
Heya!!
For calculate wavelength, lets applicate formula:
<u>Δ Being Δ</u>
f = Frequency = 262 Hz
v = Velocity = 343 m/s
= Wavelenght = ?
⇒ Let's replace according the formula:
⇒ Resolving
Result:
The wavelength is <u>1,3 meters.</u>
Good Luck!!
<h2>
Answer: 26,8 s</h2>
Explanation:
If we are talking about an acceleration at a constant rate , we are dealing with constant acceleration, hence we can use the following equations:
(1)
(2)
Where:
is the final velocity of the plane (the takeoff velocity in this case)
is the initial velocity of the plane (we know it is zero because it starts from rest)
is the constant acceleration of the plane to reach the takeoff velocity
is the distance of the runway
is the time
Knowing this, let's begin with (1):
(3)
(4)
(5)
Substituting (5) in (2):
(6)
Finding :
This is the time needed to take off
There are asteroids, which are rocks that fly through the space, and meteors which are pretty much the same. The only difference is their sizes. There are also planets, big and small. The moon, the dwarf planet Pluto, and many more. There are probably thousands of other planets that we haven't quite yet discovered. Soon we will though. There are also billions of stars, such as the sun, and some others we don't have names for that form constellations.
Hope this helped!!
