A large box whose mass is 19.0 kg rests on a frictionless floor. A mover pushes on the box with a force of 235 N at an angle 34.8° below the horizontal. Draw the box's free-body diagram and use it to determine the acceleration of the box. m/s2

Question

A large box whose mass is 19.0 kg rests on a frictionless floor. A mover pushes on the box with a force of 235 N at an angle 34.8° below the horizontal. Draw the box's free-body diagram and use it to determine the acceleration of the box.  m/s2

Me · Answer

Since the force 235 N is at an angle, you want it to be parallell with the ground. To do that you do the cosine of the angle multiplied by the force. So

235*cos34.8
=
192.97 N

Using F=ma

192.97=19a

so a= 10.1563 m/s^2