Question

If a net force of 68.0N acts on a 4.05kg mass, what is acceleration?

Answer 1

`\boxed {\boxed {\sf a\approx 16.79 \ m/s^2}}`

Step-by-step explanation:

Acceleration can be found by dividing the net force by the mass.

`a=(F)/(m)`

The net force is 68 Newtons. Let's change the units to make later steps simpler.

1 Newton is equal to 1 kg*m/s², so the net force of 68.0 Newtons is also equal to 68.0 kg*m/s².

The mass is 4.05 kilograms.

`F=68.0 \ kg*m/s^2 \\m=4.05 \ kg`

Substitute the values into the formula.

`a=(68.0 \ kg* m/s^2)/(4.05 \ kg)`

Divide. Note that the kilograms (kg) will cancel each other out when dividing.

`a=(68.0 \ m/s^2)/(4.05 )`

`a=16.7901235 \ m/s^2`

Let's round to the nearest hundredth. The 0 in the thousandth place tells to leave the 9 in the hundredth place.

`a\approx 16.79 \ m/s^2`

The acceleration is about 16.79 meters per square second.