Answer:
the moment of inertia of the merry go round is 38.04 kg.m²
Explanation:
We are given;
Initial angular velocity; ω_1 = 37 rpm
Final angular velocity; ω_2 = 19 rpm
mass of child; m = 15.5 kg
distance from the centre; r = 1.55 m
Now, let the moment of inertia of the merry go round be I.
Using the principle of conservation of angular momentum, we have;
I_1 = I_2
Thus,
Iω_1 = I'ω_2
where I' is the moment of inertia of the merry go round and child which is given as I' = mr²
Thus,
I x 37 = ( I + mr²)19
37I = ( I + (15.5 x 1.55²))19
37I = 19I + 684.7125
37I - 19 I = 684.7125
18I = 684.7125
I = 684.7125/18
I = 38.04 kg.m²
Thus, the moment of inertia of the merry go round is 38.04 kg.m²
Answer:
2.5
Explanation:
The capacitance of a parallel-plate capacitor filled with dielectric is given by

where
k is the dielectric constant
is the capacitance of the capacitor without dielectric
In this problem,
is the capacitance of the capacitor in air
is the capacitance with the dielectric inserted
Solving the equation for k, we find

Snell's law states that:
n1 Sin∅1 = n2 Sin ∅2
Where, medium 1 with (n1 = 1.33) is water and medium 2 with (n2 = 1) is the air, ∅1 = 90-50 = 40°
Therefore,
Sin ∅2 = n1/n2 *Sin ∅1 = 1.33/1 *Sin 40 = 0.4833=> ∅1 = Sin ^- (0.4833) = 28.9 °
The fisherman the sun at 61.1° (90-∅2) above the horizontal.
Answer:
The coil with the maximum number of loops will produce the magnetic field with the maximum strength.
Explanation:
The magnetic field produced by a current-carrying coil at a point on the axis which is passing through its center and perpendicular to its plane is given by

<em>where</em>,
= magnetic permeability of the free space.- N = number of loops of the coil.
- I = current flowing through the coil.
- R = radius of the coil.
- r = distance of the point where the magnetic field is to be found from the center of the coil.
Now, it is given that all the four coils have the same size, means same radius R, same material, means same permeability for all the coils, and the same amount of current is passing through all the coils, means same current I.
The magnetic field of all the four coils is differing only due to the number of loops N.
Thus, the coil with the maximum number of loops N will produce the magnetic field with the maximum strength.