Strength of the magnetic field: 20 T
Explanation:
For a conductive wire moving perpendicular to a magnetic field, the electromotive force (voltage) induced in the wire due to electromagnetic induction is given by
where
B is the strength of the magnetic field
v is the speed of the wire
L is the length of the wire
For the wire in this problem, we have:
(induced emf)
L = 0.20 m (length of the wire)
v = 3.0 m/s (speed)
Solving for B, we find the strength of the magnetic field:
Learn more about magnetic fields:
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If the circuit is open, then there will be no light or sound. No current will flow and no air will move.
Answer:
Explanation:
The cars are moving away from the intersection at 90° from each other. The motion can be considered a right angled triangle with perpendicular and base being the speeds of the 2 cars. The hypotenuse is the linear distance between them. By Pytagoras theorem:
a) Distance=
where a and b are the speeds of 2 cars.
Distance = 
=77.2t feet/second
b) Time = 2 hours 45 minutes; Convert this into seconds to get 9900 seconds. The distance formula will give distance in feet so we will divide it by 5280 to get miles
Distance= (77.2*9900)/5280 = 144.8 miles
c) 1 Miles = 5280 feet.
5280=77.2t;
Time=68.4 seconds;
The 2 cars are 1 miles apart after 68.4 seconds.
Answer: SI Unit is meters per second(m/s)
Explanation:
The three units of speed are:
1. meters per second(m/s)
2. kilometers per hour(km/hr)
3. miles per hour(mph)
SI Unit is meters per second(m/s)
Answer: $62160.534
Explanation:
If the architect needs to cover a 100 ft x 89 ft ceiling with gold leaf sheets with a thickness of 
, he will need to cover a volume 
as follows (assuming the ceiling has a rectangular shape):
(1)
Where:
Then: 
(2)
On the other hand, density 
is defined as the relation between the mass 
of an object and its volume :
(3)
As we know the density of gold is 
and the volume the architect needs to cover, we can find the mass.
(4)
But first, we have to change the dimensions of the volume we calculated, in order to work with the same units:
Substituting in (4):
(5)
(6) This is the amount of gold keaf sheets the architect needs.
Now, if we know 
cost $ 953, we can find how much 
of gold cost:
Therefore, the architect will need $62160.534 to buy the necessary gold to cover the ceiling.
