# Problem: Three forces acting on an object are given by F1 = (-2.00i +2.00j )N; F2 = (5.00i -3.00j) N; F3 = (-45.0i) N. The object experiences an acceleration magnitude of 3.75m/s2.(a) What is the direction of the acceleration?(b) What is the mass of the object?(c) If the object is initially at rest, what is its speed after 10.0s?(d) what are the velocity components of the object after 10.0s?

###### FREE Expert Solution

(a)

2D vector direction:

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

The acceleration is in the direction of the net force:

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###### Problem Details

Three forces acting on an object are given by F1 = (-2.00i +2.00j )N; F2 = (5.00i -3.00j) N; F3 = (-45.0i) N. The object experiences an acceleration magnitude of 3.75m/s2.

(a) What is the direction of the acceleration?

(b) What is the mass of the object?

(c) If the object is initially at rest, what is its speed after 10.0s?

(d) what are the velocity components of the object after 10.0s?