Only two forces act on a 3.0-kg mass.One of the forces is 9.0 N east,and the other is 8.0 N in the direction of 62$\degree$north of west.What is the magnitude of the acceleration of the mass? A)2.0 m/s² B)2.4 m/s² C)3.3 m/s² D)2.9 m/s² E)5.7 m/s²

Question

Quizplus · Accepted Answer

To find the acceleration, first resolve the 8.0 N force into its components: 8.0 N * cos(62°) west and 8.0 N * sin(62°) north. Then, find the net force in the east-west direction (9.0 N east - 8.0 N * cos(62°) west) and the net force in the north-south direction (8.0 N * sin(62°) north). Use the Pythagorean theorem to find the resultant force and divide by the mass (3.0 kg) to find the acceleration.

Only Two Forces Act on a 3 °\degree° North of West

Only Two Forces Act on a 3 $\degree$ North of West