work done by gravitational force = mass × g × height
= mgh
= 5 × 10 × 8 N
<h3>= 400 N</h3>
Answer:
you can't
Explanation:
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4.266 m is the radius of the circular path the electron follows.
Given
Speed of electron (v) = 7.5 × 10⁶ m/s
Earth's Magnetic Field (B) = 1 × 10⁻⁵ T
We already know that
Mass of electron (m) = 9.1 × 10⁻³¹ kg
Charge on electron (q) = 1.6 × 10⁻¹⁹ C
According to the formula
Radius of circular path(r) = mass on electron × speed/ Charge × Magnetic field
Radius of circular path(r) = m × v/q × B
Put the values into the formula
r = 9.1 × 10⁻³¹ × 7.5 × 10⁶/ 1.6 × 10⁻¹⁹ × 10⁻⁵
On solving, we get
r = 4.266 m
Hence, 4.266 m is the radius of the circular path the electron follows.
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Answer:
a.
b.
Explanation:
I have attached an illustration of a solid disk with the respective forces applied, as stated in this question.
Forces applied to the solid disk include:
Other parameters given include:
Mass of solid disk,
and radius of solid disk,
a.) The formula for determining torque (), is
Hence the net torque produced by the two forces is given as a summation of both forces:
b.) The angular acceleration of the disk can be found thus:
using the formula for the Moment of Inertia of a solid disk;
where = Mass of solid disk
and = radius of solid disk
We then relate the torque and angular acceleration () with the formula:
The total reactance of the inductor and the capacitor is 470.1 ohms.
The given parameters;
- <em>inductance of the coil, L = 250 mH</em>
- <em>capacitance, C = 4.7 μ</em>
- <em>frequency of the circuit, f = 60 Hz</em>
The inductive reactance of the coil is calculated as follows;
The capacitive reactance of the capacitor is calculated as follows;
The impedance of the circuit is calculated as follows;
Thus, the total reactance of the inductor and the capacitor is 470.1 ohms.
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