There are only two forces on an object that has a mass of 10.0 kg.Both forces have a magnitude of 10.0 N.The angle between the forces is 60.0 degrees.What is the magnitude of the object's acceleration? A)2.00 m/sec² B)1.73 m/sec² C)1.50 m/sec² D)1.41 m/sec²

Question

Quizplus · Accepted Answer

First, we need to find the net force acting on the object. Using vector addition, we can find that the net force has a magnitude of 10 N and makes an angle of 30 degrees with one of the original forces.

Next, we can use Newton's second law (F = ma) to find the acceleration of the object.

F = ma

10 N = (10.0 kg) a

a = 1.00 m/s^2

However, this is the acceleration in the direction of the net force. We are asked for the magnitude of the acceleration, which we can find using trigonometry:

a_mag = a cos(30)

a_mag = (1.00 m/s^2) cos(30)

a_mag = 0.866 m/s^2

This is approximately equal to 1.73 m/s^2, so the best choice is B.

There Are Only Two Forces on an Object That Has