To solve the problem it is necessary to take into account the concepts related to frequency depending on the wavelength and the speed of light.
By definition we know that the frequency is equivalent to,
where,
c= Speed of light
While the wavelength is equal to,
Where,
L = Length
n = Number of antinodes/nodes
PART A) For the first part we have that our wavelength is 110MHz, therefore
Therefore the distance between the nodal planes is 1.36m
PART B) For this part we need to find the Length through the number of nodes (8) and the wavelength, that is,
Therefore the length of the cavity is 10.90m
We can work out the gain in GPE of the box. I'm going to take g to be 9.81 however if your qualification takes g to be 10 you'll need to change it in all the workings:
GPE = mgh
= 400 x 9.81 x 10
=39240J
So, the machine has given 39240J of energy to the box.
Therefore the minimum power generated by the motor is:
39240/8=4905W = 4.9 x 10^3 W
Note this is the <em>minimum</em> possible power generated by it and it is almost certain (well completely certain in the real world) that it will generate far more power than that because it will not be 100% efficient.
Answer:
The toy car will fall off Katie's hands and onto the ground .
Explanation:
This happens due to gravity.