The population of the planet magrathea doubles every 40 years. in the year zero the population was 20 million. the total land area of magrathea is 200 million square kilometers. one square kilometer of land can house 200 magratheans. land that is not used for housing is used for agriculture. write down an equation whose solution is the year in which there are 30 m2 of agricultural land available for each inhabitant. solve this equation.

Next a skier is pulled by a tow rope up a frictionless ski slope that makes an angle of 15 with the horizontal. the rope moves parallel to the slope with a constant speed of 0.69 m/s. the force of the rope does 800 3 of work on the skier as the skier moves a distance of 8.4 m up the incline. (a) if the rope moved with a constant speed of 2.2 m/s how much work would the force of the rope do on the skier as the skler moved a distance of 8.4 m up the incline? at what rate is the force of the rope doing work on the skier when the rope moves with a speed of (b) 0.69 m/s and (c) 2.2 m/s?

During the experiment if you could triple the breakaway magnetic force with all other quantities left unchanged, what is the new value for the critical velocity if it was v0 (initial velocity), initially? (b) now if you halved the radius with all other quantities left unchanged, what is the new critical velocity if it was v0 (initial velocity), initially? (c) if during the experiment, critical velocity quadrupled with all other quantities left unchanged, what is the new breakaway force if its magnitude was initially f0,?

Nthe 19th century, women were expected to conform to a certain role that entailed a. gaining domestic skills and establishing a career b. going to college and getting married c. getting married and having children d. graduating from college and being a housewife