An object with a mass of (2.844x10^1) kg is subjected to a force of (3.964x10^3) N directed at an angle of (6.374x10^1) degrees from the x axis. A second force of (1.3x10^2) N acting in the negative X directions is also applied to the object. To two significant figures what is the net acceleration in the X direction?

Question

An object with a mass of (2.844x10^1) kg is subjected to a force of (3.964x10^3) N directed at an angle of (6.374x10^1) degrees from the x axis.  A second force of (1.3x10^2) N acting in the negative X directions is also applied to the object.  To two significant figures what is the net acceleration in the X direction?

Henry · Answer

M = 28.44 kg. F1 = 3964N[63.74o]. F2 = 130N[180o]. Fx = 3964*Cos63.74 - 130*Cos180 = 1624 N. Fx = M*a. a = Fx/M = 1624/28.44 = 57 m/s^2.