Ahelicopter lifts a 60 kg astronaut 17 m vertically from the ocean by means of a cable. the acceleration of the astronaut is g/10. (a) how much work is done on the astronaut by the force from the helicopter? j (b) how much work is done on the astronaut by her weight? j (c) what is the kinetic energy? j (d) what is the speed of the astronaut just before she reaches the helicopter?

Let v1, v2, w be three linearly independent vectors in r 3 . that is, they do not all lie on the same plane. for each of the following (infinite) set of vectors, carefully sketch it in r 3 , and determine whether or not it is a vector space (i.e., a subspace of r 3 ). explain your reasoning

Which situation will have the highest resistance? a.long wire and high temperatureb.short wire and high temperaturec.long wire and cold temperaturedshort wire and low temperature

Mutt and jeff are running along a path each pushing a cart loaded with rocks. if mutt's wagon has a mass two times greater than jeff's and they want to stay together, arriving at their destination at the same time, what must happen? a) jeff should slow down so mutt can catch up. b) mutt must use half as much force to push his cart. c) mutt must use twice as much force to push his cart. d) mutt and jeff will use the same force, but mutt will take bigger steps.