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Only two forces act on a 3.0-kg mass. One of the forces is 9.0Newtons east, and

ID: 1746899 • Letter: O

Question

Only two forces act on a 3.0-kg mass. One of the forces is 9.0Newtons east, and the other is 8.0 Newtons in the direction of 62o? north of west. What is the magnitude of theacceleration of the mass? The mass has only TWO forces actingon it. No gravity. Not resting on any other surface.

__________________ m/s2

Only two forces act on a 3.0-kg mass. One of the forces is 9.0Newtons east, and the other is 8.0 Newtons in the direction of 62o? north of west. What is the magnitude of theacceleration of the mass? The mass has only TWO forces actingon it. No gravity. Not resting on any other surface. m/s2

Explanation / Answer

m = 3.0 kg, F1 = 9.0 N, F2 = 8.0 N, = 62o. Findthe magnitude of the acceleration of the mass net force: in east direction Fx = F1 - F2*cos = 5.244 N in north direction Fy = F2*sin = 7.0636 N net force F = (Fx2 + Fy2) = 8.797N acceleration = F/m = 2.93 m/s2