Complete Question:
Suppose 
, where A has the dimensions LT, B has dimensions L²T⁻¹, and C has dimensions LT². Then the exponents n and m have the values
Answer:
The value of n = ¹/₅
The value of m = ³/₅
Explanation:
Given dimensions;
A = LT
B = L²T⁻¹
C = LT²
The values of n and m are calculated as follows;
![LT = [L^2T^{-1}]^n[LT^2]^m\\\\L^1T^1 = [L^{2n}T^{-n}]\times [L^mT^{2m}]\\\\L^1 \times T^1 = [L^{(2n+m)}] \times [T^{(-n +2m)}]\\\\1 = 2n + m -----(1)\\\\1 = -n + 2m ----(2)\\\\from \ (1); \ m = 1-2n, \ \ substitute \ the \ value \ of \ m \ in\ (2)\\\\1= -n +2(1-2n)\\\\1 = -n + 2-4n\\\\1-2 = -5n\\\\-1 = -5n\\\\1= 5n\\\\n = \frac{1}{5} \\\\m = 1 - 2n\\\\m = 1 - 2(\frac{1}{5} )\\\\m = 1- \frac{2}{5} \\\\m = \frac{3}{5}](https://tex.z-dn.net/?f=LT%20%3D%20%5BL%5E2T%5E%7B-1%7D%5D%5En%5BLT%5E2%5D%5Em%5C%5C%5C%5CL%5E1T%5E1%20%3D%20%5BL%5E%7B2n%7DT%5E%7B-n%7D%5D%5Ctimes%20%5BL%5EmT%5E%7B2m%7D%5D%5C%5C%5C%5CL%5E1%20%5Ctimes%20T%5E1%20%3D%20%5BL%5E%7B%282n%2Bm%29%7D%5D%20%5Ctimes%20%5BT%5E%7B%28-n%20%2B2m%29%7D%5D%5C%5C%5C%5C1%20%3D%202n%20%2B%20m%20-----%281%29%5C%5C%5C%5C1%20%3D%20-n%20%2B%202m%20----%282%29%5C%5C%5C%5Cfrom%20%20%5C%20%281%29%3B%20%5C%20m%20%3D%201-2n%2C%20%5C%20%5C%20substitute%20%5C%20the%20%5C%20value%20%5C%20of%20%5C%20m%20%5C%20in%5C%20%20%282%29%5C%5C%5C%5C1%3D%20-n%20%2B2%281-2n%29%5C%5C%5C%5C1%20%3D%20-n%20%2B%202-4n%5C%5C%5C%5C1-2%20%3D%20-5n%5C%5C%5C%5C-1%20%3D%20-5n%5C%5C%5C%5C1%3D%205n%5C%5C%5C%5Cn%20%3D%20%5Cfrac%7B1%7D%7B5%7D%20%5C%5C%5C%5Cm%20%3D%201%20-%202n%5C%5C%5C%5Cm%20%3D%201%20-%202%28%5Cfrac%7B1%7D%7B5%7D%20%29%5C%5C%5C%5Cm%20%3D%201-%20%5Cfrac%7B2%7D%7B5%7D%20%5C%5C%5C%5Cm%20%3D%20%5Cfrac%7B3%7D%7B5%7D)
The first one, as the mass is higher so it accelerates more
The Earth's axis is tilted "away" from the Sun in the hemisphere. where
it's winter. The daytime is very short. That's because the Earth's axis
is tilted "away" from the Sun in the hemisphere.
Newton's Third Law- For every action there is an equal and opposite reaction... Does this answer your question? If not, I can explain further...
