Respuesta :
Answer:
T = 4517.48 N
Explanation:
It is given that,
Average power of the motor, [tex]P_1=2.74\times 10^4\ W[/tex]
Speed of the boat, [tex]v_1=14.3\ m/s[/tex]
Force or tension acting on the motor at this point is given by :
[tex]P=T\times v[/tex]
[tex]T=\dfrac{P_1}{v_1}[/tex]
[tex]T=\dfrac{2.74\times 10^4}{14.3}[/tex]
T = 1916.08 N
Average power generated by the engine, [tex]P_2=9.2\times 10^4\ W[/tex]
Force or tension acting on the motor at this point is given by :
[tex]P=T\times v[/tex]
[tex]T=\dfrac{P_2}{v_2}[/tex]
[tex]T=\dfrac{9.2\times 10^4}{14.3}[/tex]
T = 6433.56 N
So, the tension in the tow rope that is pulling the skier is, T = 6433.56 N - 1916.08 N = 4517.48 N
