By definition we have the force is:
[tex]F = m * a
[/tex]
Where,
m: mass
a: acceleration.
To find the acceleration we have the following formula:
[tex]vf = a * t + vo
[/tex]
Where,
vo: initial speed
vf: final speed
a: acceleration
t: time
Clearing the acceleration we have:
[tex]a = (vf - vo) / (t)
[/tex]
Substituting values:
[tex]a = (3 - 0) / (1)
a = 3 m / s ^ 2[/tex]
Then, the force is given by:
[tex]F = (40) * (3)
F = 120 N[/tex]
Answer:
The magnitude of the force that must be applied is:
[tex]F = 120 N[/tex]
