While a boat is being towed at a speed of 11m/s, the tension in the towline is 9.5kN. What is the power supplied to the boat through the towline?
power = work/time = J/s = N-m/s
knowing the units, it should be clear what to do with the values given.
To find the power supplied to the boat through the towline, we can use the equation:
Power (P) = Force (F) x Velocity (v)
In this case, the force is the tension in the towline, and the velocity is the speed of the boat being towed.
First, let's convert the given tension from kilonewtons (kN) to newtons (N) since the SI unit for force is newtons.
1 kilonewton (kN) = 1000 newtons (N)
Therefore, the tension in newtons is:
9.5 kN x 1000 N/kN = 9500 N
Now, we can calculate the power:
Power (P) = Force (F) x Velocity (v)
P = 9500 N x 11 m/s
P = 104,500 watts (W)
So, the power supplied to the boat through the towline is 104,500 watts or 104.5 kilowatts (kW).