# A force of 63N acting upon a given object results in an acceleration of 9 m/s^2. If the magnitude of the force acting upon the same object is changed to 28 N, what will the object's acceleration become?

Aug 3, 2018

${\text{4 m/s}}^{2}$

#### Explanation:

Use Newton's ${2}^{n d}$ Law:

$F = m a$

Since the mass of the object doesn't change,

$m = \frac{F}{a} = {F}_{1} / {a}_{1} = {F}_{2} / {a}_{2}$

then solve for ${a}_{2}$:

${a}_{2} = {F}_{2} / {F}_{1} \cdot {a}_{1}$

${a}_{2} = {\text{28 N"/"63 N" * "9 m/s"^2 = "4 m/s}}^{2}$

Note: Less force implies less acceleration; the answer is consistent. Checked.