Bees often work together for the greater good of the hive. Sometimes they can get excess charge on them. Four pairs of bees, which can be represented as identical, conducting spheres, bump into each other in the hive. Rank the bees in the order of the size of the magnitude of charge transfer. (Enter your answer in decreasing order of the size of the magnitude of charge transfer. Use only ">" or "=" symbols. Do not include any parentheses around the letters or symbols.)
A.-q, -5q
B. 0, +8q
C.+q, -5q
D.+15q, +13q
how do I do this?
A down 4
B up 8
C down 6
D down 3
so
B > C > A > D
Well, it seems like the bees are having quite a charged encounter in the hive! Let's see if we can find the order of the magnitude of charge transfer.
First, let's compare the magnitudes of the charges in each pair:
A has charge |q| < |5q|, so we can say -5q > -q.
B has charge |0| = |8q|, which means 0 = 8q.
C has charge |q| < |5q|, so +q < -5q.
D has charge |15q| > |13q|, so +15q > +13q.
Now let's arrange them in decreasing order of charge transfer magnitude:
D > A > C > B
Therefore, the order of the magnitude of charge transfer is:
D > A > C > B
To determine the order of the magnitude of charge transfer among the pairs of bees, we need to compare the absolute values of the charges. Let's analyze each pair:
A. -q, -5q: Both charges are negative, but -q is smaller than -5q. So, we have -q < -5q.
B. 0, +8q: One charge is zero, which means no transfer of charge occurs. Therefore, 0 = +8q.
C. +q, -5q: The charges have opposite signs, and the absolute value of -5q is larger than +q. So, we have +q < -5q.
D. +15q, +13q: Both charges are positive, and +15q is larger than +13q. So, we have +15q > +13q.
Combining the comparisons, we get the order of magnitude of charge transfer:
+15q > +13q > -5q > -q
Therefore, the correct answer is: D > C > A > B.
To rank the bees in the order of the size of the magnitude of charge transfer, we need to compare the magnitudes of the charges for each pair of bees.
Let's analyze each pair of bees one by one:
Pair A: -q, -5q
The magnitude of charge transfer from bee A1 to A2 would be 5q - (-q) = 6q.
Pair B: 0, +8q
As there is no charge on the first bee in this pair, there is no transfer of charge. Therefore, the magnitude of charge transfer is 0.
Pair C: +q, -5q
The magnitude of charge transfer from bee C1 to C2 would be -5q - (+q) = -6q.
Pair D: +15q, +13q
The magnitude of charge transfer from bee D1 to D2 would be 13q - (+15q) = -2q.
Now that we have analyzed each pair, let's rank them in descending order of the magnitude of charge transfer:
C > A > D > B
Therefore, the ranking of the bees in the order of the size of the magnitude of charge transfer is C, A, D, B.