Two ropes are attached to a 40-kg object.The first rope applies a force of 50 N and the second,40 N.If the two ropes are perpendicular to each other,what is the resultant magnitude of the acceleration of the object? A) 1.2 m/s² B) 1.6 m/s² C) 25 m/s² D) 47 m/s²

Question

Quizplus · Accepted Answer

To find the resultant acceleration, we need to first find the net force acting on the object.
We can use Pythagoras theorem to find the magnitude of the net force:
$F_{net} = \sqrt{(50	ext{ N})^2 + (40	ext{ N})^2} = 64	ext{ N}$
Using Newton's second law, we can find the acceleration:
$F_{net} = ma$
$64	ext{ N} = 40	ext{ kg} 	imes a$
$a = 1.6	ext{ m/s}^2$
Therefore, the resultant magnitude of the acceleration is 1.6 m/s^2, which is answer choice B.

Two Ropes Are Attached to a 40-Kg Object