Question

3. The soccer kicker kicks a 2 kg football with a force of 68 N. How fast will the ball accelerate down the field?

m = _______
a = ________
Fnet = _____

Answer 1

`\boxed {\boxed {\sf m= 2 \ kg , \\a= 34 \ m/s^2, \\\F= 68 \ N}}`

Step-by-step explanation:

The formula for force is:

`F=m*a`

If we rearrange the formula to solve for a (acceleration), the formula becomes

`(F)/(m) =a`

The force is 68 Newtons. Let's convert the units to make the problem easier later on. 1 N is equal to 1 kg*m/s², so the force of 68 N is equal to 68 kg*m/s².

The mass is 2 kilograms.

`F=68 \ kg*m/s^2 \\m= 2\ kg`

Substitute the values into the formula.

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

Divide. Note that the kilograms will cancel each other out (hence why we changed the units).

`(68 \ m/s^2)/(2)=a`

`34 \ m/s^2=a`

The acceleration is 34 meters per second squared.