A mass of 25 kg is acted on by two forces, one of which is 10 N due east while the second one is 15 N due north. The acceleration of the mass is A) 0.72 m/ s², 56.3^o north of east. B) 0.20 m/ s², due east. C) 0.72 m/ s², 33.7^o north of east. D) 1.0 m/ s², 33.7^o north of east. E) 0.20 m/ s², 56.3^o north of east.

Question

Quizplus · Accepted Answer

The resultant force is calculated using the Pythagorean theorem: √(10² + 15²) = √325 = 18.03 N. The acceleration is then F/m = 18.03 N / 25 kg = 0.72 m/s². The angle is calculated using tan⁻¹(15/10) = 56.3° north of east.

A Mass of 25 Kg Is Acted on by Two