Final answer:
To find the magnitude of the net force on the kayak, use Newton's second law of motion and the kinematic equation for acceleration. Then, calculate force with F = ma.
Step-by-step explanation:
To calculate the magnitude of the net force acting on the kayak, we can use Newton's second law of motion which states Force equals mass times acceleration (F = ma). First, we need to find the acceleration using the given initial velocity (0 m/s), final velocity (0.745 m/s), and distance (0.600 m). The formula derived from the kinematic equations for uniformly accelerated motion is v2 = u2 + 2as, where v is the final velocity, u is the initial velocity, a is the acceleration, and s is the distance.
Plugging in the values, we get (0.745 m/s)2 = (0 m/s)2 + 2 · a · 0.600 m, which simplifies to a = (0.745 m/s)2 / (2 · 0.600 m). Once we have the acceleration, we can calculate the net force on the kayak and the person as F = ma = 77.3 kg · a. By applying this calculation, we will get the required net force.