Answer:
The magnetic field inside the solenoid would decrease by a factor of 2.
Explanation:
The magnetic field, B, of a solenoid of length L, N windings, and radius b with a current, I, flowing through it is given as:
B = (N * r * I) / L
If the length of the solenoid is doubled, 2L,the magnetic field becomes:
B2 = (N * r * I) / 2L
B2 = ½ B
The magnetic field will decrease by a factor of 2.
Answer:
g(h) = g ( 1 - 2(h/R) )
<em>*At first order on h/R*</em>
Explanation:
Hi!
We can derive this expression for distances h small compared to the earth's radius R.
In order to do this, we must expand the newton's law of universal gravitation around r=R
Remember that this law is:
In the present case m1 will be the mass of the earth.
Additionally, if we remember Newton's second law for the mass m2 (with m2 constant):
Therefore, we can see that
With a the acceleration due to the earth's mass.
Now, the taylor series is going to be (at first order in h/R):
a(R) is actually the constant acceleration at sea level
and
Therefore:
Consider that the error in this expresion is quadratic in (h/R), and to consider quadratic correctiosn you must expand the taylor series to the next power:
Answer:
Velocity of the projectile just before it will hit the surface is 43.4 m/s
Explanation:
In x direction there is no acceleration
so horizontal velocity of the projectile is always constant
So we have
now in Y direction its motion is free fall motion under gravity
so we have
so we have
Answer: The acceleration results if a net force of 4F acts on a mass of 6m is 2/3a.
Explanation:
Force exerted on an object can be defined as a pull or a push on an object which leads to it's displacement. Force is taken to be a vector quantity because it has both magnitude and direction. The formula which can be used to determine force exerted on an object in physics is:
F= mass( kg) × acceleration( m/ s²)
Acceleration is defined as the rate at which the velocity of an object changes. From the formula of force given above it can be determined by making it the subject of formula. Therefore acceleration= Force/ mass.
From the question,
Force= 4F
Mass= 6m
Therefore acceleration= F/m
= 4/6
Acceleration= 2/3a
Answer:
C. While all societies use natural resources, they do not use them in
the same way
Explanation:
Natural resources are endowments by nature in a particular place. Different regions of the world have either similar or varied types of resources.
Therefore, with cultural influences and climate, these resources are put into different forms of usage.
- All societies does not use natural resources the same way.
- There are certain influences most especially based on needs that determines what a particular resource can be used for or not.
- Although synthetic materials serves as alternatives to natural resources, the cost and energy required to produce them is most times discouraging.