Answer:
Explanation:
Galaxies are moving closer
Answer:

Explanation:
From the question we are told that
The number of turns is 
The radius is 
The position from the center consider is x = 3.45 cm = 0.0345 m
The induced emf is 
Generally according to Gauss law

=> 
Where A is the cross-sectional area of the solenoid which is mathematically represented as

=> 
=>
ggl;
Here
is the permeability of free space with value

=> 
=> 
a ball rolling on the ground
Answer:
Self inductance, 
Explanation:
It is given that,
Length of the coil, l = 5 cm = 0.05 m
Area of cross section of the coil, 
Number of turns in the coil, N = 130
The self inductance relates the magnetic flux linkage to the current through the coil and it is given by :


L = 0.000127 Henry
or

So, the self inductance of the coil is 127 microhenry. Hence, this is the required solution.
Answer:
Rachel(2.5,0)
ball(6.5,4.7)
b.R=10.15m/s, 27.57deg
Explanation:
The reference angle of Rachel is 0
resolving rachel's speed to the horizontal, we have
Ux=2.5cos0
Ux=2.5m/s
resolving rachel's speed to the vertical we have,
Uy=2.5sin0
Uy=0
for the ball
resolving the speed to its horizontal component
Ux=8cos36
Ux=6.5m/s
Uy=8sin36
Uy=4.7m/s
Rachel(2.5,0)
ball(6.5,4.7)
To get the resultant of their speed
Add the horizontal speed of rachel to that of the ball to get the total horizontal speed
Add the vertical speed of rachel and the ball to get the total vertical speed component
TUx=2.5+6.5=9M/S
TUy=0+4.7=4.7m/s
R=
R=
R=
R=10.15m/s
the direction
tan
=TUy/TUx
tan
=4.7/9
=tan^-1(0.522)
=27.57deg