Question

A net force of 18 N is exerted on a book which accelerates at 8m/s² determine the mass of book

Answer 1

2.25 kg

Step-by-step explanation:

Force can be found using the following formula.

`f=m*a`

Rearrange the formula for
`m`, mass, by dividing both sides of the formula by a.

`(f)/(a)=(m*a)/(a)`

`(f)/(a)=m`

The mass can be found by dividing the force by the acceleration. The force is 18 Newtons. 1 Newton is equal to 1 kg m/s², so 18 Newtons is equal to 18 kg m/s². The acceleration is 8 m/s².

`f= 18 kgm/s^2\\a=8 m/s^2`

Substitute the values into the formula.

`m=(f)/(a)`

`m=(18 kg m/s^2)/(8m/s^2 )`

Divide. Note that the kg m/s² in the numerator and denominator will cancel each other out.

`m=(18kg)/(8)`

`m= 2.25kg`

The mass of the book is 2.25 kilograms.