Posted by **aly** on Thursday, December 2, 2010 at 11:24pm.

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?

- physics -
**Ann Hiro**, Friday, December 3, 2010 at 12:09am
F = MA, right? Just mix in a cos Θ to calculate effective force (42N x cos 22° = 38.94172N), and solve.

38.94172 = 7.6A

A = 38.94172 / 7.6

A = 5.123911m/s^2

- physics -
**drwls**, Friday, December 3, 2010 at 6:13am
a = F_x/m

F_x is the x-component of F, 42 cos22 = 38.94 N

AnnHiro is correct. Thanks for helping us out, Ann.

The answer should only be quoted to two significant figures, 5.1 m/s^2. The input numbers have comparable accuracy.

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