A ball on a string makes 25.0 revolutions in 9.37 s, in a circle radius 0.450 m. What is it’s velocity?
2 answers:
The velocity of the ball is 12.5 m/s
Explanation:
The velocity of the ball is given by the ratio between the distance covered by the ball and the time taken:
First, we calculate the distance covered. We know that the radius of the circle is
r = 0.450 m
And the length of the circumference is
The ball makes 25.0 revolutions, so a total distance of
In a time of
t = 9.37 s
So, its velocity is
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Answer:
Therefore,
Final velocity of the coupled carts after the collision is
Explanation:
Given:
Mass of Glidding Cart = m₁ = 2 kg
Mass of Stationary Cart = m₂ = 5 kg
Initial velocity of Glidding Cart = u₁ = 14 m/s
Initial velocity of Stationary Cart = u₂ = 0 m/s
To Find:
Final velocity of the coupled carts after the collision =
Solution:
Law of Conservation of Momentum:
For a collision occurring between two objects in an isolated system, the total momentum of the two objects before the collision is equal to the total momentum of the two objects after the collision.
It is denoted by "p" and given by
Momentum = p = mass × velocity
Hence by law of Conservation of Momentum we hame
Momentum before collision = Momentum after collision
Here after collision both are stuck together so both will have same final velocity,
Substituting the values we get
Therefore,
Final velocity of the coupled carts after the collision is
Answer:
The Balmer series refers to the spectral lines of hydrogen, associated to the emission of photons when an electron in the hydrogen atom jumps from a level to the level
.
The wavelength associated to each spectral line of the Balmer series is given by:
where is the Rydberg constant for hydrogen, and where
is the initial level of the electron that jumps to the level n = 2.
The first few spectral lines associated to this series are withing the visible part of the electromagnetic spectrum, and their wavelengths are:
656 nm (red, corresponding to the transition )
486 nm (green, )
434 nm (blue, )
410 nm (violet, )
All the following lines lie in the ultraviolet part of the spectrum. The limit of the Balmer series, corresponding to the transition , is at 364.6 nm.