When the plutonium bomb was tested in new mexico in 1945, approximately 1 gram of matter was converted into energy. suppose another bomb is tested, and 5.9 grams of matter are converted into energy. how many joules of energy are released by the explosion? answer must be in j

The energy released is 5.31 10¹⁴ J

Explanation:

Einstein found an expression to relate the changes of energy matter that is

    ΔE = Δm C²

This energy is called energize rest, in case of matter in motion the term of kinetic energy must be added

We can use this equation to find the transformation of  the matter in energy

     ΔE = 5.9 10⁻³ (3 10⁸)²

     ΔE = 5.31 10¹⁴ (Kg m² /s²)

     ΔE = 5.31 10¹⁴ J

The energy released is 5.31 10¹⁴ J

the answer is b, have negligible mass

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.