Answer:
[tex]\boxed {\boxed {\sf a\approx 2.7 \ m/s^2}}[/tex]
Explanation:
Force is equal to mass times acceleration.
[tex]F=m*a[/tex]
By dividing both sides by m, we rearrange the formula for a (acceleration).
[tex]\frac{F}{m} =a[/tex]
The force is 6.2 Newtons, but we can convert the units to make the problem easier later on.
- A Newton is equal to 1 kg*m/s², so 6.2 N is equal to 6.2 kg*m/s².
The mass is 2300 grams, but we need to convert it to kilograms.
- To convert grams to kilograms, divide by 1,000
- 2300 g/1000= 2.3 kg
[tex]F= 6.2 \ kg*m/s^2\\m=2.3 \ kg[/tex]
Substitute the values into the formula.
[tex]a=\frac{6.2 \ kg*m/s^2}{2.3 \ kg}[/tex]
Divide. Note that the kilograms or "kg" will cancel each other out (this is why we converted the units).
[tex]a=\frac{6.2 \ m/s^2}{2.3 \ }[/tex]
[tex]a=2.69565217 \ m/s^2[/tex]
Round to the nearest tenth. The 9 in the hundredth place tells us to round up to 2.7
[tex]a\approx 2.7 \ m/s^2[/tex]
The acceleration is about 2.7 meters per second squared.
