Answer:
[tex]\boxed {\boxed {\sf 15 \ m/s^2 \ to \ the \ right}}[/tex]
Explanation:
We are asked to find the acceleration of a box.
According to Newton's Second Law of Motion, force is the product of mass and acceleration.
[tex]F=ma[/tex]
The mass of the box is 5 kilograms. There are two forces applied: a 25 Newton force and a 50 Newton force, both applied right. Since they are applied in the same direction, we can add them.
- 25 N right + 50 N right = 75 N right.
Now we know 2 of the variables in the formula:
- F= 75 N or 75 kg*m/s²
- m= 5 kg
Substitute the values into the formula.
[tex]75 \ kg*m/s^2 = 5 \ kg *a[/tex]
We are solving for a, so we must isolate the variable. It is being multiplied by 5 kilograms. The inverse operation of multiplication is division. Divide both sides by 5 kg.
[tex]\frac {75 \ kg*m/s^2}{5 \ kg}= \frac {5 \ kg *a}{5 \ kg}[/tex]
[tex]\frac {75 \ kg*m/s^2}{5 \ kg}=a[/tex]
The units of kilograms cancel.
[tex]\frac {75 m/s^2}{5}=a[/tex]
[tex]15 \ m/s^2 =a[/tex]
The acceleration is in the same direction as the force, so the acceleration is 15 meters per second squared to the right.
