The relation between wavelength (λ) and frequency (ν) is given by
Where speed of light in vacuum.
We can see from this equation that wavelength and frequency are related inversely.
Now,
Where 'E' is energy of electromagnetic radiation and 'h' is Planck's constant.
We can see from this equation that greater frequency (ν) will give greater electromagnetic radiation (E). As they are directly proportional.
Hence,
When decreasing electromagnetic radiation there is a(n) Inverse proportion relationship between wavelength and frequency and the greater the frequency, the greater energy the electromagnetic radiation has
Mass m is fired to the right at a speed of 7.0 m/s where it collides and becomes imbedded in mass M which is hanging from a rope. Mass m is 0.50kg and mass M is 12.0kg. a- How fast will the combined mass (m+M) be moving just after the collision? b- What is the maximum height the system (m+M) will reach?
step by step explanation:
from the principles of linear momentum which states that the total momentum before collision is equal to the total momentum after collision
momentum before collision=momentum after collision
notice that in this this case the collision is inelastic, owing to the fact that the two bodies stuck together after collision
mu+Mu2=(m+M)V
V=common velocity after collision
m=mass of the body fired
M=Mass hanging on the rope
u=velocity of the body
u2=velocity of the mass hanging on arope 0m/s
0.5*7+0=(0.5+12)V
3.5=12.5V
V=3.5/12.5
V=0.28m/s, the combined mass will be 0.28m/s fast
b. the maximum height reached after the impact
starting with the swing of the pendulum just after the collision until it reaches its maximum height. Conservation of mechanical energy applies here, so:
kinetic energy =potential energy
½ (m+M)V = (m+M)gh.
So, the speed of the system immediately after the collision is:
The a body having rest mass is mo is moving with velocity v which is of the order of velocity of light in vacuum, so the mass of the body increases. According to the formula
As the velocity increases, the mass m of the body increases. As the velocity of the object is equal to the velocity of light in vacuum, then the mass of the body becomes infinite.
If the earth just doubles its size in an instant, the oxygen present in the atmosphere could be much larger. Due to these, we could theorize that insects could grow much larger because the size of their body is heavily dependent on the maximum amount of oxygen present in the atmosphere. Air pressure also increases thus those aerial enthusiasts would enjoy their professions.