Question

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What is the acceleration of the 5 kg box that has a 25 N force and 50 N force applied both right?



What is the acceleration of the 5 kg box that has a 25 N force and 50 N force applied both right?



15 m/s to the right



500 m/s to the right



75 m/s to the right



100 m/s to the right

Answer 1

`\boxed {\boxed {\sf 15 \ m/s^2 \ to \ the \ right}}`

Step-by-step 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.

`F=ma`

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.

`75 \ kg*m/s^2 = 5 \ kg *a`

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.

`\frac {75 \ kg*m/s^2}{5 \ kg}= \frac {5 \ kg *a}{5 \ kg}`

`\frac {75 \ kg*m/s^2}{5 \ kg}=a`

The units of kilograms cancel.

`\frac {75 m/s^2}{5}=a`

`15 \ m/s^2 =a`

The acceleration is in the same direction as the force, so the acceleration is 15 meters per second squared to the right.