Answer:
10000 V
0.00225988700565 m²
Explanation:
E = Electric field =
d = Distance = 2.5 mm
Q = Charge = 80 nC
= Permittivity of free space =
The potential difference is calculated as
The potential difference across the plates amounts to 10000 V
Area is determined by
The area of each plate measures 0.00225988700565 m²
Capacitance is determined by
The capacitance is
Answer:
The acceleration of the platform is - 1.8 m/s²
Explanation:
The net force on a body causes that body to accelerate in the direction of the resultant force applied.
Setting up the force equilibrium for the configuration:
ma = 800 - mg
100a = 800 - 100×9.8
100a = - 180
100a = - 180
a = - 1.8 m/s²
This indicates that the body is falling downward.
Response:
length = 2L, mass = M/2, and maximum angular displacement = 1 degree
Clarification:
We examine only small amplitude oscillations (as in this scenario), which keeps the angle θ sufficiently small. In such situations, it's important to note that the pendulum's motion can be described by the equation:
The resulting solution is:
Here, represents the angular frequency of the oscillations, enabling us to find the period:
As a result, the period of a pendulum is determined solely by its length and is independent of both its mass and angle, provided the angle remains small. Therefore, the choice with the longest length gives the longest period.