Question

If rounding required round to the 4th decimal point.

2. 0.8/2 points I Previous Answers PSE6 5.P.014 My Notes Three forces acting on an object are given by F1 (1.90 i 2.40 j) N, F2 -(-4.60 İ ) N, and F3-( 46.51-42.0 j ) N. The object experiences an acceleration of magnitude 3.75 m/s2. (a) What is the direction of the acceleration? o (from the positive x axis) (b) What is the mass of the object? 15.745 (c) If the object is initially at rest, what is its speed after 11.0 s? 4125m/s (d) What are the velocity components of the object after 11.0 s? kg 43.80 1x Your response differs from the correct answer by more than 10%. Double check your calculations. i 39.6 Your response differs from the correct answer by more than 10%. Double check your calculations. j) m/s

Answer 1

Given is:-

Fı = (1.90i + 2.40)Ν.Ћ, = (-4.600 V. Fl = (46.52-42.0

Magnitude of acceleration is a=3.75 m/s²

Now,

part-a

The Net force is

Net = F1 + F2 + F3

by plugging all the values we get

Fyet (1.90-4.60 + 46.5)ị t (2.40 + 0-42.0)j

which gives us

The direction of the acceleration or force is given by

by plugging all the values we get

or

Part-b

Magnitude of the Force

which gives us

thus the mass of the object is

Part-c

Initial speed u=0 m/s

The final speed at t=11 seconds will be given by the first equation of motion thus

which gives us

Part-d

The final velocity vector is given by

by plugging all the values we get