Which three factors are used to calculate gravitational potential energy?
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Answer:
Question 1)
a) The speed of the drums is increased from 2 ft/s to 4 ft/s in 4 s. From the below kinematic equations the acceleration of the drums can be determined.
This is the linear acceleration of the drums. Since the tape does not slip on the drums, by the rule of rolling without slipping,
where α is the angular acceleration.
In order to continue this question, the radius of the drums should be given.
Let us denote the radius of the drums as R, the angular acceleration of drum B is
α = 0.5/R.
b) The distance travelled by the drums can be found by the following kinematics formula:
One revolution is equal to the circumference of the drum. So, total number of revolutions is
Question 2)
a) In a rocket propulsion question, the acceleration of the rocket can be found by the following formula:
b)
The diameter of the disks is 1.32 cm.
If n electrons each of charge e are transferred from one disc to another, calculate the total charge Q transferred from one disc to the other using the expression,
Substitute 1.50×10⁹ for n and 1.6×10⁻¹⁹C for e.
The potential difference V between the disks separated by a distance d is given by,
here, E is the electric field.
Substitute 2.00×10⁵N/C for E and 0.50×10⁻³m for d.
The capacitance C of the capacitor is given by,
The capacitance of a parallel plate capacitor is given by,
Here, ε₀ is the permittivity of free space and A is the area of the disks.
Rewrite the expression for A.
the area A of the disks is given by,
Here, D is the diameter of the disk.
The diameter of each disc is found to be 1.32 cm.