You are visiting your friend fabio's house. you find that, as a joke, he filled his swimming pool with kool-aid, which dissolved perfectly into the water. however, now that you want to swim, you must remove all of the kool-aid contaminated water. the swimming pool is round, with a 9 foot radius. it is 8 feet tall and has 7.5 feet of water in it. how much work is required to remove all of the water by pumping it over the side? use the physical definition of work, and the fact that the density of the kool-aid contaminated water is σ=63.5lbs/ft3

pythagoras' theorem

square root (-5^2+9^2)

square root (25+81)

square root (106)

angle is tan^-1(9/5)

neg x, pos y

the aurora is formed when charged particles emitted from the sun during a solar flare penetrate the earth's magnetic shield and collide with atoms and molecules in our atmosphere. these collisions result in countless little bursts of light, called photons, which make up the aurora.

auroras are generated by charged solar particles hitting molecules in earth's atmosphere. this usually happens in high latitudes, because our planet’s magnetic field tends to funnel these particles toward the poles. that’s why it can be experienced in northern ohio.

the answer is the first electromagnet (a). this is because it has more coils around the ferromagnetic material. increasing the number of coils increases the surface area in which the metal interacts with the current in the coil. this enables more atoms in the metal to become aligned hence becoming more magnetized.