Answer:
a) 5908.02 W
b) 5250.855 W
Explanation:
[tex]v=u+at\\\Rightarrow a=\frac{v-u}{t}\\\Rightarrow a=\frac{1.75-0}{3}\\\Rightarrow a=0.583\ m/s^2[/tex]
[tex]s=ut+\frac{1}{2}at^2\\\Rightarrow s=0\times t+\frac{1}{2}\times 0.583\times 3^2\\\Rightarrow s=2.6235\ m[/tex]
Change in Kinetic energy
[tex]\Delta KE=\frac{1}{2}m(v^2-u^2)\\\Rightarrow \Delta KE=\frac{1}{2}650(1.75^2-0^2)\\\Rightarrow \Delta=995.3125\ J[/tex]
Work
[tex]W=\Delta KE+U\\\Rightarrow W=995.3125+650\times 9.81\times 2.6235\\\Rightarrow W=17724.06025\ J[/tex]
Power
[tex]P=\frac{W}{t}\\\Rightarrow P=\frac{17724.06025}{3}\\\Rightarrow P=5908.02\ W[/tex]
Power is 5908.02 W
At cruising speed
[tex]P=\frac{W}{t}\\\Rightarrow P=\frac{F\times s}{t}\\\Rightarrow P=\frac{650\times 9.81\times 1.75\times 3}{3}\\\Rightarrow P=11158.875\ W[/tex]
The power is 11158.875 W
Difference in power is 11158.875-5908.02 = 5250.855 W
