1. Homework Statement
Sketch on the same axis the graphs of y = |x| and y = 2 - x^2.
For which values f x is the inequality |x| < 2 - x^2
2. Homework Equations
3. The Attempt at a Solution
I don't really understand what it is asking me to do, i've sketched the two curves...
1. Homework Statement
three point charges, each of 10^-9 are located at 3 corners of a square of side 20cm. Calculate the electric potential at the forth corner.
2. Homework Equations
V = Q / (4(pi)(epsilon 0) r)
3. The Attempt at a Solution
Potential because of corner A =...
1. Homework Statement
A 200g sample of CO2 occupies a volume of 110 L at a pressure of 1 atm.
a) What is the number of moles in the gas
b) What is the temperature?
c) if the volume is increased up to 200 L and the temperature is kept constant. what is the new pressure.
2...
1. Homework Statement
i) Express the equation r = 1 + cos(theta) in Cartesian form.
ii) Sketch the curve whose equation in polar form is r = cos(theta)
2. Homework Equations
x = r cos (theta)
y = r sin (theta)
3. The Attempt at a Solution
i) x = r cos (theta) = (1 + cos(theta)) cos...
this will probably seem like a really stupid question but here goes.
If z = 3 + 2i find the following
i) z
ii) z x z(with a horizontal line above it)
iii) z^2
what does the horizontal bar mean, i can't find it in my reivsion books lol.
Thanks
1. Homework Statement
The centre of a small sphere carrying a positive charge of 1.0 x 10^-8 C is fixed at 3cm above the centre of a small conducting ball, which had a negative charge and a mass of 0.05g. If the ball remains suspended, what charge does it have?
Answer is [ 4.9 x 10^-9]...
1. Homework Statement
A tank is in a shape of a cylinder with a circular cross-section of area A. Initially the depth of water in the tank (the head) is h0. At time t = 0 water is allowed to leave the tank ffrom a valve at the bottom. The rate at which the water leaves the tank is...