Answer to Question #1164 in Mechanics | Relativity for anon

Question

A 7.6 kg chair is pushed across a frictionless floor with a force of 42 N that is applied at an angle of 22° downward from the horizontal. What is the magnitude of the acceleration of the chair?

Answer 1

The horizontal projection of the force applied to the chair is
F_h = Fcos (α) = 42 cos(22°) = 38.9 N.
According ot the sewcond Newton's law,
a = F_h/m = 38.9 / 7.6 = 5.11 m/s²