Question

Only two forces act on an object (mass = 3.80 kg), as in the drawing. (F = 51.0 N.) Find the magnitude and direction (relative to the x axis) of the acceleration of the object.

Answer 1

\[F = m*a\]
\[Fcos45 = m*a\]
\[( 51.0 N )\cos45 = ( 3.80 kg)*a\]
( 51.0 N )cos45
------------- = a
3.80 kg
\[a = 9.490117326 m/s ^{2}\]