Answer:
Explanation:
Given that,
B(t) = B0 cos(ωt) • k
Radius r = a
Inner radius r' = a/2 and resistance R.
Current in the loop as a function of time I(t) =?
Magnetic flux is given as
Φ = BA
And the Area is given as
A = πr², where r = a/2
A = πa²/4
Then,
Φ = ¼ Bπa²
Φ(t) = ¼πa²Bo•Cos(ωt)
Then, the EMF is given as
ε(t) = -dΦ/dt
ε(t) = -¼πa²Bo • -ωSin(ωt)
ε(t) = ¼ωπa²Bo•Sin(ωt)
From ohms law,
ε = iR
Then, i = ε/R
I(t) = ¼ωπa²Bo•Sin(ωt) /R
This is the current induced in the loop.
Check attachment for better understanding
The answer is A. Because if you're increasing the power than the strength will increase.
Answer:
The moment of inertia of the system is 
Explanation:
From the question we are told that
The mass of the platform is 
The radius of the platform is r = 1.95 m
The mass of the person is 
The position of the person from the center is 
The mass of the dog is 
The position of the dog from the center is 
Generally the moment of inertia of the platform with respect to its axis is mathematically represented as
The moment of inertia of the person with respect to the axis is mathematically represented as

The moment of inertia of the dog with respect to the axis is mathematically represented as

So the moment of inertia of the system about the axis is mathematically evaluated as

=> 
substituting values


Answer:
Explanation:
a = (vf - vi)/ t
A a = (5 - 15) / 10 = - 1 m/s²
B a = (25 - 30) / 15 = - 1/3 m/s²
C a = (25 - 20) / 2 = 5/2 m/s²
D a = (-15 - (-10)) / 3 = -5/3 m/s
from most negative to most positive
D, A, B, C