Question

If a 2kg ball has and initial velocity of

4 m/s and is kicked and accelerated to
10 m/s in one second, what is the force that was applied to the ball? Rember that acceleration is the change in velocity/ change in time


please help me asap ​

Answer 1

`\boxed {\boxed {\sf 12 \ Newtons }}`

Step-by-step explanation:

Force is equal to the product of mass and acceleration.

`F=m*a`

We know the mass, but not the acceleration. Therefore, we must calculate it before we can calculate force.

1. Calculate Acceleration

Acceleration is the change in velocity over the change in time.

`a=(V_f-V_i)/(t)`

The final velocity is 10 meters per second and the initial velocity is 4 meters per second. The time is 1 second.

`V_f=10 \ m/s \\V_i= 4 \ m/s \\t= 1 \ s`

Substitute the values into the formula.

`a=(10 \ m/s-4 \ m/s )/(1 \ s)`

Solve the numerator.

`a=(6 \ m/s)/(1 \ s )`

Divide.

`a= 6 \ m/s/s=6 \ m/s^2`

2. Calculate Force

Now we know the acceleration and the mass.

`m= 2 \ kg \\a= 6 \ m/s^2`

Substitute the values into the fore formula.

`F= 2 \ kg * 6 \ m/s^2`

Multiply.

`F= 12 \ kg*m/s^2`

• 1 kilogram meter per square second is equal to 1 Newton.
• Our answer of 12 kg*m/s² is equal to 12 Newtons

`F= 12 \ N`

The force applies to the ball was 12 Newtons.