To simplify a fraction, we have to divide the numerator and the denominator by the same number. In this case, both aspects of the fraction are divisible by 9.
When we divide the numerator by 9 we get 3
When we divide the denominator by 9 we get 7
So, the simplest form of 27/63 is 3/7
To solve this problem we must first find the potential on the body which is given as a product between the number of turns, the area and the variation of the magnetic field as a function of time. Once the potential is found, we will apply Ohm's Law with which we can find the induced current on the body. Our values are,
a) The magnitude of average induced emf is given by
Here N =1
b) The magnitude of the induced current is
Here Resistance is
Therefore the induced current is 0.00108A
Sonography is most likely because it has good resolution without radiation.
Answer:
• 36.4 kg of coal.
• 80 pounds of coal.
Explanation:
Using proportionality constant,
Mass of coal = 1,000,000/27,500,000 btus/metric ton
= 0.0364 metric tons of coal
Mass of coal = 1,000,000/25,000,000 btus/ton
= 0.04 tons of coal.
Converting metric tons to kilogram,
1 metric ton = 1000kg,
0.0364 metric ton;
= 36.4 kg of coal.
Converting tons to pounds,
1 ton = 2000 pounds,
0.04 metric ton;
= 80 pounds of coal.
Explanation:
The motion of a particle is defined by the relation as:
........(1)
Differentiating equation (1) wrt t we get:
............(2)
When v = 2 ft/s
t₁ = 2.26 s
and t₂ = 0.73 s
Put the value of t₁ in equation (1) as :
x₁ = 14.23 ft
Put the value of t₂ in equation (1) as :
x₁ = 14.74 ft
For acceleration differentiate equation (2) wrt t as :
a = 12 t - 18.........(3)
Put t₁ and t₂ in equation 3 one by one as :
Hence, this is the required solution.