# Problem: Three forces acting on an object are given by F1 = (1.85i - 1.60j) N, F2 = (5.20i - 2.50j) N, and F3 = (40.5i - 48.0j) N. Theobject experiences an acceleration of magnitude 3.75 m/s2.(a) What is the direction of the acceleration?___ ° (from the positive x-axis)(b) What is the mass of the object?___ kg(c) If the object is initially at rest, what is its speed after 16.0 s?___ m/s(d) What are the velocity components of the object after 16.0 s?( __ i +__ j ) m/s

###### FREE Expert Solution

(a)

2D vector direction:

$\overline{){\mathbf{tan}}{\mathbit{\theta }}{\mathbf{=}}\frac{{\mathbit{F}}_{\mathbit{y}}}{{\mathbit{F}}_{\mathbit{x}}}}$

83% (191 ratings) ###### Problem Details

Three forces acting on an object are given by F1 = (1.85i - 1.60j) N, F2 = (5.20i - 2.50j) N, and F3 = (40.5i - 48.0j) N. Theobject experiences an acceleration of magnitude 3.75 m/s2.

(a) What is the direction of the acceleration?
___ ° (from the positive x-axis)

(b) What is the mass of the object?
___ kg

(c) If the object is initially at rest, what is its speed after 16.0 s?
___ m/s

(d) What are the velocity components of the object after 16.0 s?
( __ i +__ j ) m/s