# Question 5ad42

Nov 18, 2014

The equation you are looking for is Newton's 2nd law:
$F = m a$

The mass is known (10 kg)
and acceleration is the value to find.
Force is in that notation because it is a vector going 9 newtons east and 14 newtons north. To turn that vector into a magnitude that can be worked with, you square both terms, add them up and put them in a square root.
It should look something like this:

$\sqrt{81 + 144} = \sqrt{225} = 15 \text{N}$

You then plug in the force you found and the given mass:
15"N"=(10"kg")*a#
Finally, $a$ is solved by dividing 15 and 10.
$a = 1.5 {\text{m/s}}^{2}$

-replaced "right" and "up" with "east" and "north" to remove ambiguity. [right and up is relative to a coordinate-system (x,y)]