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Physics: Post your doubts here!

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What are the things that were previously removed from the syllabus (not just this session)
I mean when solving 2005 and so. Was there anything that was later removed?
 
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Both A and B charge are producing an electric field around themselves.
This means both would affect a unit positive charge.
Let's think about a unit positive charge first.

To move a unit positive charge from point M to P, work has to be done against A's force of repulsion, and B will naturally push the unit positive charge towards P. So:
Effect of A:
Work done = V(3) - V(6)
Where V(r) is the electric potential a particle has for being r micrometers away from A:
V(r) = Q/4πęr

Effect of B:
"Work done" = V(9) - V(6)
Because final position (P) is 9 micrometers away from B. V here should be defined separately for B, but since it has same charge (Q) as A, the formula would be same.

So overall energy to move +1C test charge from M to P is their sum:
W = V(3) + V(9) - V(6) - V(6)
Calculate this by substituting into formula above (remember r is in micro)

And then the answer you get, you have to multiply by charge on an electron, -1.6*10^-19. This is because previous answer was for unit charge. The negative sign is important.

I don't have a calculator now so sorry I can't do the calculation. Hopefully you get right answer.
 
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The amplitude's already been given to you, that is, E(k).
What you need to pay attention to is the way kinetic energy behaves in relation to the displacement of the ball.

When the ball is at its amplitude, as shown in the diagram. The kinetic energy is zero because the velocity is zero at that point.
Kinetic energy is maximum when the velocity is maximum. This is at the equilibrium point a.k.a, 0 cm.

One oscillation means the ball starts at 4 cm, goes to -4 cm and then comes back to 4 cm.
If you observe the graph, it's 4 at 0 seconds and 4 at 0.6 seconds. So the period of one oscillation is 0.6 seconds.

If you look more closely, the ball goes from 4 ---> 0 ---> -4 ---> 0 ---> 4

The ball passes the equilibrium point, twice, in one oscillation.
We know that at the equilibrium point, the kinetic energy is maximum because the velocity is maximum at that point.

So the kinetic energy goes through two cycles in one period, hence why the period is 0.3 seconds.

Screen Shot 2016-02-01 at 6.59.18 PM.png
 
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Attaching the light feathers = reducing weight of metal cube.

This results in heavy damping. Damping occurs because of resistive forces in the air, if you have something that is very light, the effect of these forces will be higher and the amplitude of oscillation decreases at all frequencies.

The curve you already see in the graph is an example of light damping with resonance. If I had to ask you to draw heavy damping with resonance, what would you expect the curve to look like? Heavy damping = amplitude reduced at all frequencies. This results in a much flatter peak.

Screen Shot 2016-02-01 at 7.15.56 PM.png
 
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Attaching the light feathers = reducing weight of metal cube.

This results in heavy damping. Damping occurs because of resistive forces in the air, if you have something that is very light, the effect of these forces will be higher and the amplitude of oscillation decreases at all frequencies.

The curve you already see in the graph is an example of light damping with resonance. If I had to ask you to draw heavy damping with resonance, what would you expect the curve to look like? Heavy damping = amplitude reduced at all frequencies. This results in a much flatter peak.

View attachment 59081
so it reduces approx how much?
Thanks.
 
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The amplitude's already been given to you, that is, E(k).
What you need to pay attention to is the way kinetic energy behaves in relation to the displacement of the ball.

When the ball is at its amplitude, as shown in the diagram. The kinetic energy is zero because the velocity is zero at that point.
Kinetic energy is maximum when the velocity is maximum. This is at the equilibrium point a.k.a, 0 cm.

One oscillation means the ball starts at 4 cm, goes to -4 cm and then comes back to 4 cm.
If you observe the graph, it's 4 at 0 seconds and 4 at 0.6 seconds. So the period of one oscillation is 0.6 seconds.

If you look more closely, the ball goes from 4 ---> 0 ---> -4 ---> 0 ---> 4

The ball passes the equilibrium point, twice, in one oscillation.
We know that at the equilibrium point, the kinetic energy is maximum because the velocity is maximum at that point.

So the kinetic energy goes through two cycles in one period, hence why the period is 0.3 seconds.

View attachment 59080
How amplitude = E(k) ?
How u got 4?
 
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Both A and B charge are producing an electric field around themselves.
This means both would affect a unit positive charge.
Let's think about a unit positive charge first.

To move a unit positive charge from point M to P, work has to be done against A's force of repulsion, and B will naturally push the unit positive charge towards P. So:
Effect of A:
Work done = V(3) - V(6)
Where V(r) is the electric potential a particle has for being r micrometers away from A:
V(r) = Q/4πęr

Effect of B:
"Work done" = V(9) - V(6)
Because final position (P) is 9 micrometers away from B. V here should be defined separately for B, but since it has same charge (Q) as A, the formula would be same.

So overall energy to move +1C test charge from M to P is their sum:
W = V(3) + V(9) - V(6) - V(6)
Calculate this by substituting into formula above (remember r is in micro)

And then the answer you get, you have to multiply by charge on an electron, -1.6*10^-19. This is because previous answer was for unit charge. The negative sign is important.

I don't have a calculator now so sorry I can't do the calculation. Hopefully you get right answer.
Thanks a lot.
 
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Look at the graph. You don't have to write anything on the y-axis, they already have put E(k) as the max value there.

Also what do you mean how did I get 4? Look at the previous graph.. 4 is the amplitude of displacement, the sine wave starts at 4 cm.
There's no fixed value for how much it reduces, but I'd say approx. half the previous amplitudes. Just make sure the heavy damping curve is always flatter and that all the points on the curve are below the points on the light damping curve.
Thanks.
 
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Mark scheme says it's "B"
wait so isn't acceleration supposed to be positive when it's falling ?
It is mentioned in the question that upwards is considered positive. We know that acceleration due to gravity is always downwards, so it should be taken as negative. And since that acceleration is constant throughout the motion, its value doesn't change.
 
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Can someone please upload the in chapter answers, because I have trouble with electromagnetic induction my book is the secondary edition
 
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Q. A small ball moves from rest down plane RA and then rises up plane LA. It then moves down plane LA and rises up plane RA to its original height. The motion repeats itself. State and explain whether the motion of the ball is simple harmonic.

A. mark scheme says "acceleration is constant (magnitude) so cannot be s.h.m."

I still dont get it, how is acceleration constant? doesnt it come to equilibrium position where x=0 and a=0? I know this question sounds dumb, but thanks to anyone that helps in advance!
 
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Q. A small ball moves from rest down plane RA and then rises up plane LA. It then moves down plane LA and rises up plane RA to its original height. The motion repeats itself. State and explain whether the motion of the ball is simple harmonic.

A. mark scheme says "acceleration is constant (magnitude) so cannot be s.h.m."

I still dont get it, how is acceleration constant? doesnt it come to equilibrium position where x=0 and a=0? I know this question sounds dumb, but thanks to anyone that helps in advance!
The ball is only released from rest. No external forces are given. So the acceleration is only due to gravity = gsinθ acting along the plane; this remains constant throughout the motion. Therefore, it's not shm.
 
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