Answer :
Answer:
7 m/s²
Explanation:
The formula for force is:
[tex]f= m*a[/tex]
We want to find acceleration, so we must rearrange the formula for [tex]a[/tex]. Divide both sides of the equation by [tex]m[/tex]
[tex]\frac{f}{m}=\frac{m*a}{m}[/tex]
[tex]\frac{f}{m}=a[/tex]
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.
[tex]f= 42 kg*m/s^2\\m=6 kg[/tex]
Substitute the values into the formula.
[tex]a=\frac{f}{m}[/tex]
[tex]a=\frac{42 kg*m/s^2}{6kg}[/tex]
Divide. When we divide, the kg in the numerator and denominator will cancel each other out.
[tex]a=\frac{42}{6}m/s^2[/tex]
[tex]a= 7 m/s^2[/tex]
The acceleration of the object is 7 meters per square seconds.