A certain sprinter has a top speed of 10.5 m/s. If the sprinter starts from rest and accelerates at a constant rate, he is able
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Answer:
Energy transferred = 28.8 Joules.
1. Energy transferred = 144 Joules.
2. The unit of potential difference, volts can also be described as Joules per Coulombs.
3. Current, I = 6.945 Amperes.
Explanation:
<u>Part A.</u>
Given the following data;
Current, I = 1.2A
Time, t = 2 minutes
Potential difference, V = 12 volts.
To find the energy transfered;
Energy transferred = charge moved * potential difference
E = Q * V
Substituting into the equation, we have;
Energy transferred = (1.2 * 2) * 12
Energy transferred = 2.4 * 12
Energy transferred = 28.8 Joules.
<u>Part B.</u>
1. <em><u>Given the following data;</u></em>
Charge, Q = 24C
Potential difference = 6V
To find the energy transferred;
E = Q * V
Substituting into the equation, we have;
E = 24 * 6
E = 144 Joules.
2. Since we know that, Energy transferred = charge moved * potential difference
The units of energy is Joules while the unit of the quantity of charge moved is Coulomb.
Therefore, the unit of potential difference becomes Joules per Coulomb.
3. <em><u>Given the following data;</u></em>
Potential difference = 18V
Energy transferred = 500J
Time, t = 4 minutes.
To find the current;
E = Q * V
Substituting into the equation, we have;
500 = Q*18
Q = 500/18
Q = 27.78C
But, Charge moved (Q) = current (I) * time (t)
Current, I = Q/t
Substituting into the equation, we have;
Current, I = 27.78/4
Current, I = 6.945 Amperes..
To solve this problem it is necessary to use the concepts related to the Hall Effect and Drift velocity, that is, at the speed that an electron reaches due to a magnetic field.
The drift velocity is given by the equation:
Where
I = current
n = Number of free electrons
A = Cross-Section Area
q = charge of proton
Our values are given by,
The hall voltage is given by
Where
B= Magnetic field
n = number of free electrons
d = distance
e = charge of electron
Then using the formula and replacing,