What a delightful little problem !
Here's how I see it:
When 'C' is touched to 'A', charge flows to 'C' until the two of them are equally charged. So now, 'A' has half of its original charge, and 'C' has the other half.
Then, when 'C' is touched to 'B', charge flows to it until the two of <u>them</u> are equally charged. How much is that ? Well, just before they touch, 'C' has half of an original charge, and 'B' has a full one, so 1/4 of an original charge flows from 'B' to 'C', and then each of them has 3/4 of an original charge.
To review what we have now: 'A' has 1/2 of its original charge, and 'B' has 3/4 of it.
The force between any two charges is:
F = (a constant) x (one charge) x (the other one) / (the distance between them)².
For 'A' and 'B', the distance doesn't change, so we can leave that out of our formula.
The original force between them was 3 = (some constant) x (1 charge) x (1 charge).
The new force between them is F = (the same constant) x (1/2) x (3/4) .
Divide the first equation by the second one, and you have a proportion:
3 / F = 1 / ( 1/2 x 3/4 )
Cross-multiply this proportion:
3 (1/2 x 3/4) = F
F = 3/2 x 3/4 = 9/8 = <em>1.125 newton</em>.
That's my story, and I'm sticking to it.
Answer:
Magnetic induction cannot be done in a wood because it is not a magnetic person like iron , nickel,and cobalt
Answer:
1.35 m/s in the +x direction
Explanation:
Mass of can of coffee, m = 2.4 kg
Initial velocity of can of coffee, u = 1.5 m/s
Mass of box of macaroni, M = 1.2 kg
Initial velocity of box of macaroni, U = 0 m/s
Final velocity of can of coffee, v = 0.825 m/s
We can find the final velocity of the box of macaroni, V, by using the Principle of Conservation of momentum:
Total initial momentum = Total final momentum
Momentum is given as the product of mass and velocity. Hence:
mu + MU = mv + MV
(2.4 * 1.5) + (1.2 * 0) = (2.4 * 0.825) + (1.2 * V)
3.6 + 0 = 1.98 + 1.2V
1.2V = 3.6 - 1.98 = 1.62
=> V = 1.62/1.2
V = 1.35 m/s
The final velocity of the box of macaroni is 1.35 m/s and it is in the +x direction.
The mechanical advantage would be 4. 20/5=4
