In order to achieve stable circular gravitational and centrifugal force must be in balance.
This relationship tells closer the closser your orbit is to the surface of the planet the faster you have to go. Which makes sense because the closer you are to the planet the stronger gravitational force gets.
When a ball is thrown up by doing work, the velocity of the ball will be 2.6 m/s.
<h3>What is Work energy theorem?</h3>
It states that the Work done in moving a body is equal to the change in kinetic energy of the body
Kinetic energy = 1/2 mv²
Given is a ball of mass m = 0.750 kg and the work done on ball W = 2.50 J
The ball is initially at rest. So, initial velocity is zero. Then, change in kinetic energy will be
W= ΔK.E = K.Ef - K.Ei
According to work energy theorem, work done is
W = 2.5J = 1/2 x 0.750 x (v)² -0
v =2.6 m/s
Thus, the velocity of the ball is 2.6 m/s
Learn more about work energy theorem.
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Given : A car starts from rest and accelerates at a constant rate. After the car has gone 50 m it has a speed of 21m/s. What is the acceleration of the car?
Solution : As per the question, initial velocity is 0 m/s and final velocity is 21 m/s. Distance travelled is 50 m and we need to get the acceleration of the car.
We need to use the third equation of motion. Second equation is invalid as time is given in the formula but as per the data third equation is more comfortable.
★ 3ʳᵈ eq. of motion : v² - u² = 2aS ★
Putting all the given values according to the formula we get
<u>Henceforth, acceleration is 4.41 m/s²</u>
Answer:
25mph
Explanation:
you do distance divided by time. 200/8=25
<h2>
<u>Given</u>:</h2>
Horizontal distance between two boats = x = 14 m
One boat is at trough, the other is at crest.
As there is no crests between them meaning the boat are next to each other.
Wavelength is the distance between two consecutive crests/troughs = w
The distance between a crest and a trough next to it = w/2
Complete cycles = c = 5
Time taken for c cycles = t = 15 s
Vertical distance between two boats = y = 2.4 m
<h2>
<u>To find</u>:</h2>
wavelength = w = 2x = 28 m
Amplitude = A = Displacement from mean to extreme position = y/2 = 1.2 m
Time period for one cycle = T = t/c = 15/5 = 3 s/cycle
frequency = 1/T = 1/3 = 0.33 hertz
speed = wavelength/Period = w/T = 28/3 = 9.33 m/s