Answer:
To obtain the power, we first need to find the work made by the force.
1) To calculate the work, we need the next equation:
[tex]\int\limits {F} \, dx[/tex]
So the force is given by the problem so our mission is to find 'dx' in terms of 't'
2) we know that:
[tex]\frac{dV}{dt} = a = 2.6[/tex]
So we have:
[tex]v = 2.6t[/tex]
Then:
[tex]\frac{dx}{dt} = V = 2.6t\\ \\dx = 2.6t*dt[/tex]
3) Finally, we replace everything:
[tex]\int\limits^{4.7}_{0} {5.4t*2.6t} \, dt[/tex]
After some calculation, we have as a result that the work is:
161.9638 J.
4) To calculate the power we need the next equation:
[tex]P = \frac{W}{t}[/tex]
So
P = 161.9638/4.7 = 34.46 W
