Anew pilot plans to fly directly north from oakland airport (i. e. oak) to seattle airport (i. e. sea) at an speed of 760.0 km/h, however a crosswind blows from west to east at 70.0 km/h altering the path of his flight (note: sea is directly n of oak). (a) draw a sketch of velocity vectors of plane, wind and actual path. (b) calculate the speed of plane relative to the ground, and the actual heading the plane ends up at (i. e. the angle off course relative to north). the following week the same pilot factors in the same speed of 760.0 km/h, the same crosswind blowing from the west to the east at 70.0 km/h, but this time heads in a certain direction from oak, so that the plane does end up in sea. (c) draw a sketch of velocity vectors of plane, wind and actual path. (d) calculate the angle of the new direction (relative to north) and the speed of the plane relative to the ground.

Comedians like to joke that the reason we haven’t been visited by intelligent life from elsewhere in the universe is that aliens have been monitoring earth’s broadcasts of intellectually embarrassing tv programs, like gilligan’s island, fear factor, the jersey shore, and the jerry springer showand so consider us far too primitive to merit a visit. let’s check the assertion that aliens could have been receiving them. tv programs are broadcast at a frequency of about 100mhz with about 100kw of total power in 30frames per second, which emanatesroughly uniformly in all directions. assume that interstellar space transmits these broadcasts without attenuation. no matter how smart they are, aliens would require at least one photon per frame to interpret our signals. findthe number of photons per unit time per unit area reaching a receiver on a possible planet in the nearest star system, which is about 4 light-years away (a light-year is the distance light travels in a year). if aliens aimed a receiver or detector directly at earth, how big (in diameter) would it have to be to receive a photon per frame

Ahot-air balloonist, rising vertically with a constant speed of 5.00 m/s releases a sandbag at the instant the balloon is 40.0 m above the ground. after it is released, the sandbag encounters no appreciable air drag. compute the velocity of the sandbag at 0.250 s after its release.

From 0 to 5 seconds john pushed a box 5 meters. from 5 to 10 seconds, paul pushed the same box another 5 meters. who did more work? a. john b. paul c. john and paul did the same amount of work.