Answer:
The radius is
Explanation:
From the question we are told that
The current is
The magnetic field is
Generally the magnetic field produced by a current carrying conductor is mathematically represented as
=>
Here is the permeability of free space with value
=>
=>
Answer:
0.56 km/s
Explanation:
We will define a single system of units for measurement, for this case meters per second [m/s]. That is, we must convert the rest of units such as centimeters per second and kilometers per second to meters per second.
Therefore the speed of 0.56 [km/s] is the greatest of all
Answer:
W = 609.97J
Explanation:
In order to calculate the work done by the student, you take into account that the total work is equal to the change of the kinetic energy of the student, as follow:
(1)
The work done by the friction force is negative because it is against the motion of the student.
W: work done by the student = ?
Wf: work done by the friction force
Wg: work done by the gravitational force
Ff: total friction force = 41.0N
m: mass of the skateboard = 53.0kg
d: distance traveled by the student
v: final speed of the student = 6.90m/s
vo: initial speed of the student = 1.40m/s
α: angle of the incline
You first calculate the distance d, with the Pythagoras' theorem
Furthermore, the angle α is:
Then, you solve the equation (1) for W and replace the values of all parameters:
The work done by the student is 609.97J