Answer:
t = 18.43[s]
Explanation:
This problem can be divided into two parts, in the first part we will use Newton's second law, which tells us that the sum of forces on a body is equal to the product of mass by acceleration.
[tex]F=m*a[/tex]
where:
F = force = 400 [N]
m = mass = 59[kg]
a = acceleration [m/s²]
Now replacing:
[tex]400=59*a\\a=400/59\\a=6.78[m/s^{2} ][/tex]
Now we must use the following equation of kinematics.
[tex]v_{f}=v_{o}-a*t[/tex]
where:
Vf = final velocity = 0 (to bring the object to rest)
Vo = initial velocity = 125 [m/s]
a = acceleration = 6.78 [m/s²]
t = time [a]
Now replacing:
[tex]0=125-6.78*t\\6.78*t=125\\t=18.43[s][/tex]
