Aril does 1800 j of work to get a canoe moving from rest. april and the canoe have a mass of 70 kg.

a. what is the kinetic energy of april and the canoe after she does the work?

b. what is their velocity after she does the work?

a) KE = 1800 J

b) v = 7.17 m/s

Explanation:

Part a)

As we know by work energy theorem that work done by all force is always equal to change in kinetic energy of system

here we have

given that

initial kinetic energy = 0

work done = 1800 J

so final kinetic energy will be

part b)

now we know that

now from above equation we have

now from above we have

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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.