The energy yield of a nuclear weapon is often defined in terms of the equivalent mass of a conventional explosive. 1 ton of a conventional explosive releases 4.2 gj. a typical nuclear warhead releases 250,000 times more, so the yield is expressed as 250 kilotons. that is a staggering explosion, but the asteroid impact that wiped out the dinosaurs was significantly greater. assume that the asteroid was a sphere 10 km in diameter, with a density of 2500 kg/m3 and moving at 30 km/s. a. what energy was released at impact, in joules? assume all kinetic energy of the asteroid to be released. express your answer in joules. b. what energy was released at impact, in kilotons? assume all kinetic energy of the asteroid to be released. express your answer in kilotons.

the answer is a. the yacht traveled from the dock north to the 200-meter marker in the bay in less than 5 minutes, giving the passengers several more hours to fish.

im doing peak rn so sry if its wrong

russian is not my first language, so i'm afraid i can't write out an answer in russian, but hopefully you can find a way to do so. here's my best translation of the problem: you're given a plot of a particle's position in one-dimensional space over time, and you're asked to find either the total distance traveled by the particle after 6 seconds had elapsed, or the total displacement of the particle after 6 seconds.

if you want the total distance traveled, you would first need to determine the particle's velocity as a function of time, then integrate that over the 6-second interval. we know the position function is quadratic with roots at 0 and 6, so we have

where is unknown. because the position is parabolic, there is symmetry about the midpoint at , and we know that

so that the position function is

which means the velocity is

then the total distance traveled is

so the total distance traveled is 20 m.

on the other hand, if you want to find displacement: the particle starts at and ends at , so its displacement is 0.

2.6 and i can kick good lol