Two forces act on a 55-kg object. one force has magnitude 65 n directed 59° clockwise from the positive x-axis, and the other has a magnitude 35 n at 32° clockwise from the positive y-axis. what is the magnitude of this objectʹs acceleration? a) 1.1 m/s2 b) 1.3 m/s2 c) 1.5 m/s2

The magnitude of this object's acceleration is 1.33 m/s².

The given parameters;

The horizontal components of the two forces;

Fₓ = F₁cos(59) + F₂cos(32)

Fₓ = 65cos(59) + 35cos(32)

Fₓ = 33.48 + 29.68

Fₓ = 63.16

The vertical component of the two forces;

Fₙ = -F₁sin(59) + F₂sin(32)

Fₙ = -65sin(59) + 35sin(32)

Fₙ = -55.71 + 18.55

Fₙ = -37.16

The resultant of the two forces is calculated as follows;

The magnitude of this object's acceleration is calculated using Newton's second law of motion;

F = ma

Thus, the magnitude of this object's acceleration is 1.33 m/s².

Learn more here:link

A) 1.1 m/s/s

Explanation:

There exist two forces on the object such that

= 65 N directed 59° clockwise from the positive x-axis

= 35 N at 32° clockwise from the positive y-axis

now we have

now the net force on the object is given as

so it's magnitude is given as

now from Newton's II law we have

F = ma