Answer:
F = 845 [N]
Explanation:
To solve this problem we must use the following equation of kinematics.
[tex]v_{f} ^{2} =v_{o} ^{2} +2*a*x[/tex]
where:
Vf = final velocity = 26 [m/s]
Vo = initial velocity = 0
a = acceleration [m/s²]
x = distance = 2.8[m]
[tex]26^{2} = 0 +(2*a*2.8) \\5.6*a = 676\\a = 120.71[m/s^{2}][/tex]
Now we have to use Newton's second law which tells us that force is equal to the product of mass by acceleration.
ΣF = m*a
where:
F = force [N]
m = mass = 7 [kg]
a = acceleration = 120.71 [m/s²]
[tex]F = 7*120.71\\F = 845 [N][/tex]
