Answer:
Explanation:
The rest energy of any substance is defined by the Einstein's mass energy equivalence relation. Thus the rest mass of a electron is 9.11x10^-31 kg. The speed of light is 299,792,458 m/s. Thus multiplying the square of speed of light with the rest mass of electron gives the rest energy of the electron.
Answer:
Explanation:
(a) When the plate starts to spin:
Its angular velocity increases, so the angular acceleration is non zero. As the direction of velocity keeps on changing every instant so the linear acceleration is also non zero.
(b) When the plate rotates at constant angular velocity:
Its angular velocity is constant so the angular acceleration is zero. As the direction of velocity keeps on changing every instant so the linear acceleration is also non zero.
(c) When the plate sows to halt:
Its angular velocity decreases, so the angular acceleration is non zero( but negative). As the direction of velocity keeps on changing every instant so the linear acceleration is also non zero.
Answer:
2.38732 rpm
1.22625 rad/s²
163.292°
Explanation:
g = Acceleration due to gravity = 9.81 m/s²
a = Acceleration = 
d = Diameter of wheel = 2 m
r = Radius of wheel = 
v = Speed of elevator = 25 cm/s
Angular speed is given by

The angular speed of the wheel is 2.38732 rpm
Angular acceleration is given by

The angular acceleration of the wheel is 1.22625 rad/s²
Angular displacement is given by

The angle the disk turned when it has raised the elevator is 163.292°
Answer:
T₂ = 1937.68 N
Explanation:
First, we will calculate the weight of the object:

Now, we will calculate the resultant tension in the ropes. Since the ropes are perpendicular. Therefore,

where,
T = Resultant Tension
T₁ = Tension in rope 1
T₂ = Tension in rope 2
According to the given condition tension in the first rope is 2.2 times the tension in the second rope:
T₁ = 2.2 T₂
Therefore

Now, the weight of the object must be equal to the resultant tension for equilibrium:

<u>T₂ = 1937.68 N</u>