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)
Answer:
1.75 s
11.4 m
Explanation:
In the y direction:
Given:
Δy = -15.0 m
v₀ = 0 m/s
a = -9.8 m/s²
Find: t
Δy = v₀ t + ½ at²
-15.0 m = (0 m/s) t + ½ (-9.8 m/s²) t²
t = 1.75 s
In the x direction:
Given:
t = 1.75 s
v₀ = 6.50 m/s
a = 0 m/s²
Find: Δx
Δx = v₀ t + ½ at²
Δx = (6.50 m/s) (1.75 s) + ½ (0 m/s²) (1.75 s)²
Δx = 11.4 m
The atomic number Z of an element is the number of protons it contains (and in an atom it is equal to the number of electrons). The mass number M is close to the mass of one mol of the substance but it is defined as the number of protons and neutrons in the nucleus of the atom; there, the main mass of the atom is contained. Hence, N=M-Z=74-36=38(since M counts both protons and neutrons while Z only protons). Thus, it has 38 neutrons.
Inside the torch, they usually use copper or brass to conduct electricity.
A
Because all living things have living matter
