Answer:
Option b
Explanation:
An object is said to fall freely when there is no force acting on the object other than the gravitational force. Thus the acceleration of the object is solely due to gravity and no other acceleration acts on the body.
Also the initial velocity of the body in free fall is zero and hence less than the final velocity.
As the body falls down closer to earth, it experiences more gravitational pull and the velocity increases as it falls down and the moment it touches the ground the period of free fall ends at that instant.
Thus the final velocity of an object in free fall is not zero because the final velocity is the velocity before coming in contact with the ground.
The magnetic field is a field of magnetism that is in constant contact with everything and it is stronger at the poles of the earth. compasses point towards magnetic north which is a few miles away from true North. refrigerator magnets are much much stronger then the magnetic field so that is why they stick to metal. I do not know what the domain theory is.
Answer:
Explanation:
both have same unit because energy is defined as the ability to do work and work is the measure of transfer of energy when an objects moved from one place to another place so both are same thats why both have same units
3.32µF and 1.64µF
Since, you haven't actually asked a question, I am going to make a guess on what the question is based upon the data provided. My educated guess is "What are the values of the two capacitors?"
The formula for the Capacitive reactance is
X = 1/(2*pi*f*C)
where
X = reactance
f = frequency
C = capactance
Let's solve for C
X = 1/(2*pi*f*C)
CX = 1/(2*pi*f)
C = 1/(2*pi*f*X)
Now with the capacitors in parallel, we have a reactance of:
I = V/X
IX = V
X = V/I
X = 12.3/0.56
X = 21.96428571
So the capacitance is:
C = 1/(2*pi*f*X)
C = 1/(2*pi*1460*21.96428571)
C = 4.96307x10^-6 = 4.96307 µF
And with the capacitors in series we have a reactance of:
X = V/I
X = 12.3/0.124
X = 99.19354839
So the capacitance is:
C = 1/(2*pi*f*X)
C = 1/(2*pi*1460*99.19354839)
C = 1.09896x10^-6 = 1.09896 µF
Now we can setup two equations with 2 unknowns.
4.96307 = x + y
1.09896 = 1/(1/x + 1/y)
y = 4.96307 - x
1.09896 = 1/(1/x + 1/(4.96307 - x))
1.09896 = 1/((4.96307 - x)/(x(4.96307 - x)) + x/(x(4.96307 - x)))
1.09896 = 1/(((4.96307 - x)+x)/(x(4.96307 - x)))
1.09896 = 1/(4.96307/(x(4.96307 - x)))
1.09896 = x(4.96307 - x)/4.96307
5.45422 = x(4.96307 - x)
5.45422 = 4.96307x - x^2
0 = 4.96307x - x^2 - 5.45422
0 = -x^2 + 4.96307x - 5.45422
We now have a quadratic equation. Use the quadratic formula to solve, getting roots of 3.320460477 and 1.642609523. You may notice that those 2 values add up to 4.96307. This is not coincidence. Those are the values of the two capacitors in µF. Rounding to 3 significant figures gives us 3.32µF and 1.64µF.
Answer:
Final velocity of the first person is 3.43m/s and that of the second person is 0.0242m/s
Explanation:
Let the momentum of the first person, the ball second person be Ma, Mb and Mc.
From the principle of the conservation of momentum, sum of the momentum before collision is equal to the sum of the momentum after collision.
Ma1 + Mb1 = Ma2 + Mb2.
The ball and the first person are both moving together with a common velocity 3.45m/s.
Let the velocity of the first person be v1
Therefore
67.5×3.45+ 0.041×3.45= 67.5v1 + 0.041×34
233.02 = 1.39+ 67.5v1
67.5v1 = 233.02 - 1.39 = 231.61
v1 = 231.61 / 67.5
v1 = 3.43m/s
The second person and the ball move together with a common velocity after catching the ball.
For the second person and the ball let their final common velocity be v
Mb2 + Mc2 = Mb3 + Mc3
0.041 × 34 + 57.5 ×0 = (57.5 + 0.041)×v
57.541v = 1.39
v = 1.39 /57.541
v = 0.0242m/s