You charge a piece of aluminum foil (mass = 6.27 g) by touching it to a charged rod. the charged rod gives the aluminum foil a charge of 12 µc. your professor brings a charged plate over and tells you to put the aluminum foil on top of the plate. to your surprise the aluminum foil hovers motionless in the air above it! calculate the value of the electric field from the charged plate (assume it is a uniform field and the aluminum foil is a point charge).

Two manned satellites approaching one another at a relative speed of 0.550 m/s intend to dock. the first has a mass of 2.50 ✕ 103 kg, and the second a mass of 7.50 ✕ 103 kg. assume that the positive direction is directed from the second satellite towards the first satellite. (a) calculate the final velocity after docking, in the frame of reference in which the first satellite was originally at rest.(b) what is the loss of kinetic energy in this inelastic collision? (c) repeat both parts, in the frame of reference in which the second satellite was originally at rest. final velocity(d) loss of kinetic energy = ?

Sasha has just gotten a new job in a nearby city. after comparison shopping, she found that renting a nice two-bedroom apartment would cost around $800 per month. her utilities would cost about $150 per month. sasha has enough money saved for a down payment, and she found that she can buy a three-bedroom house or condo with a mortgage payment of $1,000 per month, including taxes and homeowner's insurance. her utilities would cost about $200 per month. what is the advantage of buying the house over renting the apartment?

What is the role of the water cycle in maintaining freshwater levels in lake and rivers?