Answer:
P = 5400[W]
Explanation:
We must use the following equation of kinematics to calculate the acceleration.
[tex]v_{f}=v_{o}+a*t[/tex]
where:
Vf = final velocity = 9 [m/s]
Vo = initial velocity = 0 (starting from rest)
a = acceleration [m/s²]
t = time = 1.5 [s]
[tex]9=0+a*1.5\\a=9/1.5\\a=6[m/s^{2} ][/tex]
Now with this second equation of kinematics, we can determine the distance traveled.
[tex]v_{f}^{2}=v_{o}^{2}+2*a*x[/tex]
where:
x= distance [m]
[tex]9^{2} = 0 +2*6*x\\12*x=81\\x=6.75[m][/tex]
Now we must use Newton's second law which tells us that the sum of forces is equal to the product of mass by acceleration.
∑F = m*a
Now replacing:
[tex]F=100*6\\F=600[N][/tex]
Ahora la potencia se puede calcular por medio del producto de la fuerza por velocidad.
[tex]P=F*v[/tex]
where:
P = power [W]
F = force = 600 [N]
v = velocity = 9 [m/s]
[tex]P=9*600\\P=5400[W][/tex]
