Answer:
[tex]\boxed {\boxed {\sf 160 \ Newtons}}[/tex]
Explanation:
We are asked to calculate the force needed to accelerate a 40 kilogram mass by 4 meters per second per second.
According to Newton's Second Law of Motion, force is the product of mass and acceleration. Therefore, the formula is:
[tex]F= m \times a[/tex]
The mass is 40 kilograms and the acceleration is 4 meters per second squared. Substitute these values into the formula.
[tex]F= 40 \ kg * 4 \ m/s^2[/tex]
Multiply.
[tex]F= 160 \ kg*m/s^2[/tex]
Convert the units. 1 kilogram meter per second squared is equal to 1 Newton. Our answer of 160 kilogram meters per second square is equal to 160 Newtons.
[tex]F= 160 \ N[/tex]
A force of 160 Newtons is required.