Answer:
54.17volts
Explanation:
Induced emf in a coil placed in a magnetic field can be expressed as E = N¶/t where
N is the number of turns = 150turns
¶ is the magnetic flux = magnetic field strength (B) × area(A)
¶ = BA
B = 0.65T
A = 1.0m²
t is the time =1.8s
Substituting this value in the formula
E = NBA/t
E = 150×0.65×1.0/1.8
E = 54.17Volts
The induced emf in the coil is 54.17Volts
The focal length of a magnifying glass is the distance between the focal point and optical centre of the magnifying glass.
<h3>Focal length</h3>
The focal length, f is the distance from a lens or mirror to the focal point, F.
This is the distance from a lens or mirror at which parallel light rays will meet for a converging lens or mirror or appear to diverge from for a diverging lens or mirror.
A magnifying glass is a converging lens which produces a enlarged, erect and virtual image when an object is placed between the focal point and optical centre.
A magnifying glass will bring to focus at a point sun rays which can cause the paper to catch fire if it is held in place for long.
This point at which the most concentrated ray of light is shining on the paper, is the focal point for that magnifying glass.
Therefore, the focal length of a magnifying glass is the distance between the focal point and optical centre of the magnifying glass.
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We have that for the Question "A city government received a $1 million grant to build swimming pools and skating rinks for youth. based on the data provided in the graph, what is the opportunity cost of building one swimming pool?" it can be said that
OC=2
From the question we are told
A city government received a $1 million grant to build swimming pools and skating rinks for youth. based on the data provided in the graph, what is the opportunity cost of building one swimming pool?
Generally the equation for the Opportunity cost is mathematically given as
Therefore
From the graph of the question we can ascertain that Opportunity cost
OC=2
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Graph is attached below
Boyle's law says that the volume of a gas varies inversely with the pressure. When the volume of a certain gas is 4l , the pressure is 720 kpa (kilopascals). What is the pressure when the volume is 10l ?
Answer:
Explanation:
The equation for centripetal acceleration is 
.
We know the wheel turns at 45 rpm, which means 0.75 revolutions per second (dividing by 60), so our frequency is f=0.75Hz, which is the inverse of the period T.
Our velocity is the relation between the distance traveled and the time taken, so is the relation between the circumference 
and the period T, then we have:
Putting all together:
