Question

What is the acceleration of a 24 kg mass pushed by an 8 N force?

Answer 1

0.25 m/s squared

Step-by-step explanation:

Mass of the body (m)= 24kg

Applied force on the body(F)= 6N

Acceleration of the body (a)= ?

Solution

F = ma

a = F/m

a = 6N/24kg

a = 0.25m/s^2

Answer: The acceleration of the body is 0.25m/s^2

I hope this helps

Answer 2

`\boxed {\boxed {\sf a=\frac {1}{3} \ m/s^2}}`

Step-by-step explanation:

Force is the product of mass and acceleration.

`F=ma`

The mass is 24 kilograms and the force is 8 Newtons. Let's convert the Newtons to make the problem easier.

• 1 Newton is equal to 1 kilogram meter per square second.

• The force of 8 N equals 8 kg*m/s²

Substitute the known values into the formula.

`8 \ kg*m/s^2= (24 \ kg )*a`

Since we are solving for a, we must isolate the variable. It is being multiplied and the inverse of multiplication is division. Divide both sides by 24 kilograms.

`\frac {8 \ kg*m/s^2}{24 \ kg}= ((24 \ kg )*a)/(24 \ kg)`

The kilograms will cancel, hence our earlier unit conversion.

`\frac {8 \ m/s^2}{24 }= a`

`\frac {1}{3} \ m/s^2=a`

The acceleration is 1/3 meter per square second.