(a) The electron kinetic energy is
which can be converted into Joule by keeping in mind that
So that we find
The kinetic energy of the electron is related to its momentum p by:
where m is the electron mass. Re-arranging the equation, we find
And now we can use De Broglie's relationship to find its wavelength:
where h is the Planck constant.
(b) By using the same procedure of part (a), we can convert the photon energy into Joules:
The energy of a photon is related to its frequency f by:
where h is the Planck constant. Re-arranging the equation, we find
And now we can use the relationship between frequency f, speed of light c and wavelength
of a photon, to find its wavelength:
Answer:
"The bowling ball on Earth will have a greater potential energy relative to the surface because the Earth has a much greater mass, and therefore a much stronger gravitational acceleration."
Explanation:
Potential energy acts as a result of the object placed over the Earth's surface, The object has the ability to fall because of the gravitational force. Gravitational potential energy is based on the weight of the object and also the height above the ground surface. But the elastic potential energy acts due to the shape of the object. Potential energy is related with the restoring of the forces which is the spring or the force of the gravity.
1. What is the force of the marble?
For an object near the surface of the earth, the gravitational force acting upon the object is given by:
F = mg
F is the gravitational force, m is the object's mass, and g is the acceleration of objects due to earth's gravity.
Given values:
m = 0.025kg, g = 9.8m/s²
Plug in the given values and solve for F:
F = 0.025×9.8
F = 0.25N
2. What is the marble's potential energy at the start of its fall?
The gravitational potential energy of an object near the earth's surface is given by:
PE = mgh
PE is the potential energy, m is the object's mass, g is the acceleration of objects due to earth's gravity, and h is the object's relative height.
new given values:
h = 0.08m
Since F = mg, you can simply multiply F×h to get PE. Use the result from question 1:
PE = F×h
PE = 0.25×0.08
PE = 0.02J
4 for sure because you dont want anything spilling on you or others that is harmful.