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8. Two perpendicular forces, one of 45.0 N directed upward and the other of 60.0 N directed to the
right, act simultaneously on an object with a mass of 35.0 kg. What is the magnitude of the
resultant acceleration of the object?
a) 2.14 m/s
b) 5.25 m/s
c) 3.00 m/s
d) 1.41 m/s

Respuesta :

Answer:

[tex]a=2.14\ m/s^2[/tex]

Explanation:

Force in upward direction = 45 N

Force in right side = 60 N

Mass of the object, m = 35 kg

Net force on the object is given by :

[tex]F=\sqrt{45^2+60^2} \\F=75\ N[/tex]

We know that,

F = ma

Where

a is acceleration of the object

[tex]a=\dfrac{F}{m}\\\\a=\dfrac{75\ N}{35\ kg}\\\\a=2.14\ m/s^2[/tex]

So, the acceleration of the object is [tex]2.14\ m/s^2[/tex].