Consider a planet orbiting the fixed sun. take the plane of the planet's orbit to be the xy plane, with the sun at the origin, and label the planet's position by polar coordinates (r, (a) show that the problems for chapter 3 103 planet's angular momentum has magnitude = mr2w, where co = 4 is the planet's angular velocity about the sun. (b) show that the rate at which the planet "sweeps out area" (as in kepler's second law) is d a idt = 4r2w, and hence that d a idt = £/2m. deduce kepler's second law.

What you see with your eyes is a form of energy. a. light b. heat c. chemical d. electrical

The gun from the crime scene shows tool marks where the serial numbers are ground off. there are also tool marks on the bullets left behind. what information can the tool marks on the bullets and gun provide about the crime? what type of evidence does this information provide, individual or class?

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?