2. Calculate the work done by an engine if it applies a 600 N force to move a piston over a distance of 0.50 m.

Explanation:

Work can be found by multiplying the force by the distance.

The force is 600 Newtons.

The distance is 0.5 meters.

Substitute the values into the formula.

Multiply.

A joule is the amount of work done when a force of 1 Newton moves the object 1 meter.

Therefore, 1 N*m is equal to 1 Joule. Our answer of 300 N*m is equal to 300 Joules.

300 Joules of work is done by the engine.

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.

find the surface area of the sphere to the nearest square unit. use a calculator.

a. 254 in.2

b. 64 in.2

c. 127 in.2

d. 1,018 in.2