Two ropes are attached to a 35 kg object. The first rope applies a force of 20 N and the second applies a force of 55 N. If the two ropes are perpendicular to each other, what is the resultant acceleration of the object?

Explanation:

Given:

forces by two mutually perpendicular ropes of the attached to the object:

Now we find the resultant force effect due to the two given forces:

Now the acceleration will be due to this resultant force:

Explanation:

mass of the object, m = 35 kg

Force in one direction, F1 = 20 N

force in perpendicular direction, F2 = 55 N

The net force is given by

F = 58.5 N

Let a be the net acceleration.

By the newton's second law

F = m a

58.5 = 35 x a

a = 1.67 m/s²

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