Recent content by wowolala

1.) A particle with mass M initially at rest decays into two identical particles each of mass 0.48M, the speed of the identical particles after the decay is : after decaying , the sum of two mass doesn't equal to initial mass... can somebody help me how to solve this qusiton...

V1+V2=(V1+V2)/(1+V1*V2/c^2) do we need to use this formula V stands for speed

Homework Statement A Vorlon vessel traveling at a speed of 0.975c passes by the Babylon 5 space station( engineers that designed the station quote its length at 8.0645km). A Starfury is released from the space station moving with a speed of 0.2c towards the incoming Vorlon vessel. What...

An astronaut traveling on the Helios satellite (the fastest human made craft) goes on a trip to Jupiter and back in 75 days as measured by an observer on the Earth. If the average speed of the satellite is a quarter of a million km/h with respect to the Earth , what is the time difference ( in...

Find the function f(x) which satisfies f'(x)=f(x) + x, f(0)=3. first do wen need to ingerate the derivative of f(x), and then put f(0)= 3 to find the constant value for c, ... am i right? help , help

The question is to explain why a commutative ring with unity that is not an integral domain cannot be contained in a field. actually, every field is an integral domain. but above question wants us to compare with thm of Field of quotients.. first , i suppose the R is contained in a...

Homework Statement A diatomic ideal gas expands at constant pressure. What percentage of the heat supplied to the gas is used to increase the internal energy of the gas? what percentage is used to do expansion work? i know Q=CnT, and in the diatomic ideal gas, C_p= \frac{7}{2} R. but i...

thx so much

the quesion is below, show that show that ( 1+ \frac{x}{n} ) ^n < e^x at the first, i take log on both sides,.. but i couldn't go further. can someboday help me? thx

Let a and b belong to a commutative ring R. Prove that { x ∈ R | ax∈bR } is an ideal. i really need help thx

here is the quesiton: let I=<2>. prove that I[x] is not a maximal ideal of Z[x] even though I is a maximal ideal of Z can someone help me?

thx, so much

show that 1/2+1/3+...1/n < \int dx/x < 1+1/2+1/3+...1/(n-1) inside the integral is from 1 to n. thx

Commandino’s Theorem states that The four medians of a tetrahedron concur in a point that divides each of them in the ratio 1:3, the longer segment being on the side of the vertex of the tetrahedron. can someone put links below where about proof of this theorem thx so much

i am trying to figure out 2 quesitons below: (a) sin x < x, for all x > 0; (b) x < tan x, for all x 2 (0;Pi/2). at the first, i solved by the graph, but it seemed too tedious. can someone tell me how to solve them in kinda simple ways thx