Here is the energy that is left after the quantity of energy is transformed: 750 j of electrical energy is changed into 400 j of kinetic or mechanical energy, which is then turned into 0.32 j of efficient energy.
To run the fan, electrical energy is utilized.
Here, under the specified circumstances, 750 J of electrical energy is utilized to operate the fan, which is transformed into 400 J of kinetic energy. As a result, 350 J of energy is wasted due to various frictional and resistive losses.
Therefore, we may conclude that only 400 J of the 750 J available energy is used to power the fan, with the remaining energy being wasted as a result of friction.
Additionally, we can state that this fan's effectiveness will be
n = Useful ÷ Total
n = 400 ÷ 750
n = 8 ÷ 25
n = 0.32
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as per the question charlie runs to the store which is 4 km away
hence the total distance covered [S] is 4 km
he takes 30 minutes to reach the store.
hence the total time taken [t] = 30 minutes=0.5 hour
We have to calculate the average speed.
the average speed[v]=
=
=8 km/hour
then we have to calculate the total distance traveled by charlie in 1 hour.
the distance covered S=
=8 km/hour ×1 hour
=8 km
Hence the average speed of charlie is 8 km/hour and he covers a distance of 8 km in 1 hour.
The difference between the maximum and minimum values of voltage V across the 3 ohm resistor would be 9V.
To find the minimum and maximum values of V across the 3 ohm resistor, you will need to use Ohm’s Law, V=IR.
You already know the resistance is 3 ohms across the resistor; in order to calculate the maximum/minimum voltage across it, you will need to work out the maximum/minimum current of the series circuit.
Using Ohm’s Law to find the maximum and minimum current:
I = V/R
Where:
V = 12V (this is the emf, no volts are lost to the cell because the cell has a negligible internal resistance therefore all the 12V is transferred to the resistors in the circuit.)
The value for R however, changes due to the resistance in the variable resistor varying from 0 to 9 ohms.
The minimum value of R would be 3 ohms, where the resistance of the variable resistor is 0. Therefore total resistance = 3 + 0 = 3 ohms
Maximum value of R would be 12 ohms, where the resistance of the variable resistor is at a maximum of 9 ohms. Therefore total resistance = 3 + 9 = 12 ohms
The rest of the explanation is in the picture, hope it makes sense
Answer:
i. The radius 'r' of the electron's path is 4.23 × m.
ii. The frequency 'f' of the motion is 455.44 KHz.
Explanation:
The radius 'r' of the electron's path is called a gyroradius. Gyroradius is the radius of the circular motion of a charged particle in the presence of a uniform magnetic field.
r =
Where: B is the strength magnetic field, q is the charge, v is its velocity and m is the mass of the particle.
From the question, B = 1.63 × T, v = 121 m/s, Θ = (since it enters perpendicularly to the field), q = e = 1.6 × C and m = 9.11 × Kg.
Thus,
r = ÷ sinΘ
But, sinΘ = sin = 1.
So that;
r =
= (9.11 × × 121) ÷ (1.6 × × 1.63 × )
= 1.10231 × ÷ 2.608 ×
= 4.2266 ×
= 4.23 × m
The radius 'r' of the electron's path is 4.23 × m.
B. The frequency 'f' of the motion is called cyclotron frequency;
f =
= (1.6 × × 1.63 × ) ÷ (2 × × 9.11 × )
= 2.608 × ÷ 5.7263 ×
= 455442.4323
f = 455.44 KHz
The frequency 'f' of the motion is 455.44 KHz.
The answer is a steep mountainside