Aconstant net force that has a magnitude of 135.5 n is exerted on a 26.7 kg object that is initially not moving. a. draw a free body diagram of the object. assume there is only the net force of 135.5 n acting on the object.
b. what acceleration does this force produce?
c. sketch a position vs. time graph for the object.
d. sketch a velocity vs.. time graph for the object.
e. how far does the the object travel in 8.82 s?

Explanation:

Given that,

Net force = 135.5 N

Mass = 26.7 kg

(a). We need to draw a free body diagram

A force is exerted on a object.

(b). We need to calculate the acceleration

Using formula of acceleration

(c). We need to draw the sketch a position vs. time graph for the object.

Using equation of motion

Put the value into the formula

(d). We need to draw the sketch a velocity vs. time graph for the object.

Using equation of motion

Put the value into the formula

(e). We need to calculate the distance travel in 8.82 s

Using equation of motion

Hence, This is the required solution.

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