Answer:
The number of turns is 
Explanation:
From the question we are told that
The inner radius is 
The outer radius is 
The current it carries is 
The magnetic field is 
The distance from the center is 
Generally the number of turns is mathematically represented as

Generally
is the permeability of free space with value

So


Answer:
So the acceleration of the child will be 
Explanation:
We have given angular speed of the child 
Radius r = 4.65 m
Angular acceleration 
We know that linear velocity is given by 
We know that radial acceleration is given by 
Tangential acceleration is given by

So total acceleration will be 
Answer:
The objects must have the same acceleration and the objects must exert the same magnitude force on each other.
Explanation:
The objects must have the same weight: FALSE. This is not needed, any two object can move together in contact no matter their mass.
The objects must have the same acceleration: TRUE. If they have different accelerations, they will separate since the distance each of them travel at a given time will be different.
The objects must have the same net force acting on them: FALSE. This is not needed, since what matters is acceleration, and a=F/m, so if both objects have different net force acting on them, they could have different masses also to compensate and result in the same acceleration.
The objects must exert the same magnitude force on each other: TRUE, this is the 3rd Newton Law, an action must follow the same reaction.
1) weight of the box: 980 N
The weight of the box is given by:

where m=100.0 kg is the mass of the box, and
is the acceleration due to gravity. Substituting in the formula, we find

2) Normal force: 630 N
The magnitude of the normal force is equal to the component of the weight which is perpendicular to the ramp, which is given by

where W is the weight of the box, calculated in the previous step, and
is the angle of the ramp. Substituting, we find

3) Acceleration: 
The acceleration of the box along the ramp is equal to the component of the acceleration of gravity parallel to the ramp, which is given by

Substituting, we find

Answer:
This question is incomplete, the options are:
A) The object absorbs most white light and refracts most green light.
B) The object refracts most white light and absorbs most green light.
C) More green light is absorbed while more red and blue light is reflected.
D) More green light is reflected while more red and blue light is absorbed.
The answer is D.
Explanation:
Light is an electromagnetic wave that contains different colours at different wavelength. The colour of light that is seen depends on the wavelength of light that is REFLECTED, while other wavelengths of light are ABSORBED. This feature is dependent on the properties of each object that received the sunlight.
For example, an object will appear GREEN because it has properties that enables it to REFLECT most of the GREEN LIGHT but absorbs most of the RED AND BLUE LIGHT in the sunlight passing through the object.