Question

An object with the mass of 2300 g has a force of 6.2 Newton's applied to it. What is the resulting acceleration of the object?

Answer 1

`\boxed {\boxed {\sf a\approx 2.7 \ m/s^2}}`

Step-by-step explanation:

Force is equal to mass times acceleration.

`F=m*a`

By dividing both sides by m, we rearrange the formula for a (acceleration).

`(F)/(m) =a`

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

`F= 6.2 \ kg*m/s^2\\m=2.3 \ kg`

Substitute the values into the formula.

`a=(6.2 \ kg*m/s^2)/(2.3 \ kg)`

Divide. Note that the kilograms or "kg" will cancel each other out (this is why we converted the units).

`a=(6.2 \ m/s^2)/(2.3 \ )`

`a=2.69565217 \ m/s^2`

Round to the nearest tenth. The 9 in the hundredth place tells us to round up to 2.7

`a\approx 2.7 \ m/s^2`

The acceleration is about 2.7 meters per second squared.