Question

Find the acceleration of an object that has a mass of 6 kg, if it is acted upon by a net force of 42 N.

Answer 1

Answer:

7 m/s²

Explanation:

The formula for force is:

$f= m*a$

We want to find acceleration, so we must rearrange the formula for $a$. Divide both sides of the equation by $m$

$\frac{f}{m}=\frac{m*a}{m}$

$\frac{f}{m}=a$

Acceleration can be found by dividing the force by the mass.

The force is 42 newtons and the mass is 6 kilograms. A newton is equal to 1 kg * m/s², therefore the force is 42 kg* m/s².

$f= 42 kg*m/s^2\\m=6 kg$

Substitute the values into the formula.

$a=\frac{f}{m}$

$a=\frac{42 kg*m/s^2}{6kg}$

Divide. When we divide, the kg in the numerator and denominator will cancel each other out.

$a=\frac{42}{6}m/s^2$

$a= 7 m/s^2$

The acceleration of the object is 7 meters per square seconds.