Recent content by olyviab

Homework Statement A small compass needle is situated in a uniform magnetic field. When displaced from its stable equilibrium position through a small angle and then released, it oscillates with a frequency of 5 Hz. A millijoule of work is needed to twist the compass needle round through...

Great! Thanks for all the help :)

Yeah i assume it was the least energy in the Hohmann orbit directed outwards. I understand if its the 3 km/s (i calculated that number as being the least v) being directed outward that it won't reach the Mars orbit. How am i able to calculate the semi-major axis?

A space probe initially moving in a 1 AU circular orbit around the sun (i.e. moving with the earth). The aim is to put this space probe in an orbit that will encounter Mars, using the least possible expenditure of rocket fuel (energy). This orbit, it turns out, is one in which perihelion...

Homework Statement f(x) = x^3/(x^2+ 1) 1. Identify Domain and Range 2. x and y intercepts (if any) 3. local and global extrema 4. Equations of the asymptotes (if any) Homework Equations f(x) = x^3/(x^2+ 1) The Attempt at a Solution f(x) = x^3/(x^2+ 1) f'(x)...

I looked over my work again and found where i messed up, thanks. the final answer i get is: (\pi-x)^-2 = \pi^-2 + 2(\pi^-3)(x) + 3(\pi^-4)(x^2) +...

Homework Statement Write the Taylor series of the function f(x) = (\pi -x)^-2 around a = 0 Homework Equations (\pi - x)^-2 = f(a) + f'(a)(x-a) + [f''(a)(x-a)^2]/(2!) +...+ [f^n(a)(x-a)^n]/(n!) The Attempt at a Solution This is what i have and i am not sure i am showing it...

Homework Statement A convex spherical mirror has a radius of curvature R = 20.0 cm and produces an upright image precisely one-quarter the size of an object. Calculate the separation distance between the object and its image? Homework Equations M = (image height)/(object height)...

Question: Is it possible for a given lens to act as converging lens in one medium and a diverging lens in another? What i was thinking: Yes. Let say we put the lens underwater. It slows the light down and turns the image upside down as it passes through the converging lens, turning it...

Homework Statement Assume that the speed of sound in the air is V=343m/s. Use the generalized form of the Doppler equation to solve the following problem. You are standing 100m away from a long straight road while a fire engine passes by along the road. The fire engine is equipped with a...

Homework Statement Dr.Botha sees a supersonic plane flying horizontally in a straight line, directly overhead. If the plane is flying at a height of 500m above the ground, and Dr.Botha hears a sonic boom 1.00s after the plane flies over him, where is the plane at the instant he hears the boom...