Find the momentum of a train with a mass of 850 kg and forward velocity of 15 m/s
2 answers:
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Answer:
v = 27 m/s
Explanation:
To find the speed of cars after the collision you take into account the momentum conservation law. Total momentum of both cars before the collision must be equal to the total momentum of both cars after the collision.
After the collision both cars traveled together, then you have:
(1)
m1: mass of the Toyota = 3-ton = 3000 kg
m2: mass of the taxi = 2-ton = 2000kg
v1: speed of the Toyota before the collision = 45m/s
v2: speed of the car before the collision = 0 m/s (it is at rest)
v: speed of both cars after the collision = ?
You solve the equation (1) for v:
Next, you replace the values of the rest of the variables:
hence, just after the collision both cars have a speed of 27m/s
Answer:
Frequency and wavelength are inversely proportional and the higher the frequency, the higher the energy of the electromagnetic wave.
Explanation:
Electromagnetic waves are transverse waves formed by an electric field and a magnetic field perpendicular to it. They propagate in a vacuum since the variation on an electric field generates a magnetic field and vice versa.
The electromagnetic spectrum is the distribution of radiation due to the different frequencies at which it radiates and its different intensities.
Radiation is distributed along that electromagnetic spectrum according to the wavelength or frequency. For example, X-rays, ultraviolet rays, the visible region are the ones with the highest frequencies and infrared, microwave and radio waves with lower frequencies.
However, the velocity of an electromagnetic wave can be defined as:
(1)
Where c is the speed of light, is frequency and
is the wavelength.
Therefore, if or
are isolated in equation 1, is easy to see that one is inversely proportional to the other.
(2)
For example, in equation 2 when the frequency increases the wavelength decreases.
The energy of the electromagnetic wave can be determined by means of the following equation:
(3)
Where h is the Planck's constant and is the frequency.
Hence, frequency and energy are directly proportional.
Equation 2 can be replace in equation 3:
(4)
Then, energy and wavelength are inversely proportional