Answer: <em>she will have to increase the factor of current by</em> 11
Explanation: The mathematical relationship between the strength of the magnetic field (B) created by a current carrying conductor with current (I) is given by the Bio-Savart law given below
B=
B=strength of magnetic field
I = current on conductor
r = distance on any point of the conductor from it center
u
= permeability of magnetic field in space
from the question, the investigator is trying to keep a constant magnetic field meaning B has a fixed value such as the constants in the formulae, the only variables here are current (I) and distance (r). We can get this a mathematical function.
by cross multipying, we have
B* 2πr=
<em>I </em>
by dividing through to make <em>I </em>subject of formulae, we have that
<em>I </em>= 
B, 2π and
are all constants, thus
= k(constant)
thus we have that
<em>I </em>=kr<em> (current is proportional to distance assuming magnetic field strength and other parameters are constant) </em>
thus we have that
=
=1cm and
=11cm
=
thus
=11* 
which means the second current is 11 times the first current
rate of heat radiation by the body is given by

here we know that

e = 0.7



now from above formula rate of heat dissipation


now we know that

from above equation

now we have

here we have
m = 96 kg
s = 3500



Answer:
t_1 = 0.5*pi*sqrt( m / k )
Explanation:
Given:
- The block of mass m undergoes simple harmonic motion. With the displacement of x from mean position is given by:
x(t) = A*cos(w*t)
Find:
- At what time t1 does the block come back to its original equilibrium position (x=0) for the first time?
Solution:
- The first time the block moves from maximum position to its mean position constitutes of 1/4 th of one complete cycle. So, the required time t_1 is:
t_1 = 0.25*T
- Where, T : Time period of SHM.
- The time period for SHM is given by:
T = 2*pi*sqrt ( m / k )
Hence,
t_1 = 0.25 * 2 * pi * sqrt( m / k )
t_1 = 0.5*pi * sqrt( m / k )
<span>Stars in a constellation only appear to be grouped together when viewed from Earth, Planets really are grouped together.</span>
Answer:
Towards East
Explanation:
As we know that whole system is moving without any external force on it
So here we can apply momentum conservation
Now we have



so above is the speed of four coupled train
Now when this is coupled with fifth stationary car then we have


Towards East