Answer:
P = 2 pi R / v period of space station
F / m = v^2 / R centripetal force per unit of mass
So F / m = 4 pi^2 R^2 / (P^2 * R) = 4 pi^2 R / P^2
Also, F / m = 9.8 m/s^2 earth's gravitational attraction
So 9.8 = 4 pi^2 R / P^2 or R = 9.8 P^2 / 4 * pi^2) = 195 m
Or D = 2 R = 390 m the diameter required
Explanation:
Following are two interactions that are generally involved when we use a TV remote control to change the channel :
1. Figure touches remote buttons, and its a short range interaction.
2. Now remote sends signal to Television, this is a long range interaction.
Answer:
k = 
b = 
t = 
Solution:
As per the question:
Mass of the block, m = 1000 kg
Height, h = 10 m
Equilibrium position, x = 0.2 m
Now,
The velocity when the mass falls from a height of 10 m is given by the third eqn of motion:

where
u = initial velocity = 0
g = 10
Thus

Force on the mass is given by:
F = mg = 
Also, we know that the spring force is given by:
F = - kx
Thus

Now, to find the damping constant b, we know that:
F = - bv

Now,
Time required for the platform to get settled to 1 mm or 0.001 m is given by:

Answer:
a

b

Explanation:
From the question we are told that
The inner radius is 
The outer radius is 
The nu umber of turns is 
The current it is carrying is 
Generally the magnetic field is mathematically represented as

Where
is the permeability of free space with a constant value

And the given distance where the magnetic field is felt is r = 0.9 cm = 0.009 m
Now substituting values


Fro the second question the distance of the position considered from the center is r = 1.2 cm = 0.012 m
So the magnetic field is

