Question

50N force accelerated a body at a rateof 8 metres per second square. Calculate the mass of the body​

Answer 1

m=6.25kg

Step-by-step explanation:

Force= mass × acceleration

50=m×8

make m subject of the formula...

m=50/8

m=6.25kg

Answer 2

`\boxed {\boxed {\sf 6.25 \ kilograms}}`

Step-by-step explanation:

According to Newton's Second Law of Motion, force is the product of mass and acceleration.

`F= m * a`

We know the force is 50 Newtons and the acceleration is 8 meters per second squared. Let's convert the units to make the problem and unit cancellation easier.

1 Newton is equal to 1 kilogram meter per square second (1 kg*m/s²), so the force of 50 N is equal to 50 kg*m/s².

Now we know 2 values:

• F= 50 kg*m/s²
• a= 8 m/s²

Substitute the values into the formula.

`50 \ kg *m/s^2= m * 8 \ m/s^2`

Since we are solving for the mass, we must isolate the variable, m. It is being multiplied by 8 meters per square second and the inverse of multiplication is division. Divide both sides by 8 m/s².

`\frac {50 \ kg *m/s^2}{8 \ m/s^2}= (m * 8 \ m/s^2)/(8 \ m/s^2)`

`\frac {50 \ kg *m/s^2}{8 \ m/s^2}= m`

The units of meters per square second (m/s²) cancel.

`\frac {50 \ kg }{8 }=m`

`6.25 \ kg =m`

The mass is 6.25 kilograms.