Explanation:
Let is the mass of proton. It is moving in a circular path perpendicular to a magnetic field of magnitude B.
The magnetic force is balanced by the centripetal force acting on the proton as :
r is the radius of path,
Time period is given by :
Frequency of proton is given by :
The wavelength of radiation is given by :
So, the wavelength of radiation produced by a proton is . Hence, this is the required solution.
A) The resultant force is 30.4 N at
B) The resultant force is 18.7 N at
Explanation:
A)
In order to find the resultant of the two forces, we must resolve each force along the x- and y- direction, and then add the components along each direction to find the components of the resultant.
The two forces are:
at above x-axis
at above y-axis
Resolving each force:
So, the components of the resultant are:
And the magnitude of the resultant is:
And the direction is:
B)
In this case, the 15 N is applied in the opposite direction to the 20 N force. Therefore we need to re-calculate its components, keeping in mind that the angle of the 15 N force this time is
So we have:
So, the components of the resultant this time are:
And the magnitude is:
And the direction is:
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Complete Question
The complete question is shown on the first uploaded image
Answer:
The maximum emf is
The emf induced at t = 1.00 s is
The maximum rate of change of magnetic flux is
Explanation:
From the question we are told that
The number of turns is N = 44 turns
The length of the coil is
The width of the coil is
The magnetic field is
The angular speed is
Generally the induced emf is mathematically represented as
Where is the maximum induced emf and this is mathematically represented as
Where is the magnetic flux
N is the number of turns
A is the area of the coil which is mathematically evaluated as
Substituting values
substituting values into the equation for maximum induced emf
given that the time t = 1.0sec
substituting values into the equation for induced emf
The maximum induced emf can also be represented mathematically as
Where is the magnetic flux and is the maximum rate at which magnetic flux changes the value of the maximum rate of change of magnetic flux is
Answer:
2.00 N
Explanation:
Weight is mass times gravity:
W = mg
Mass is density times volume:
m = ρV
Volume of a cylinder is:
V = πr²h
Finding the volume:
V = π (2.00 cm)² (6.00 cm)
V = 75.4 cm³
The density of aluminum is 2.7 g/cm³. Finding the mass:
m = (2.7 g/cm³) (75.4 cm³)
m = 204 g
Finding the weight:
W = (0.204 kg) (9.8 m/s²)
W = 2.00 N
The aluminum cylinder weighs 2.00 N.