A person in a kayak starts paddling, and it accelerates from 0 to 0.509 m/s in a distance of 0.555 m. If the combined mass of the person and the kayak is 63.4 kg, what is the magnitude of the net force acting on the kayak

the magnitude of the net force acting on the kayak is 14.77 N.

Explanation:

Given;

initial velocity of the kayak, u = 0

final velocity of the kayak, v = 0.509 m/s

distance traveled by the kayak, d = 0.555 m

combined mass of the person and kayak, m = 63.4 kg

Determine the acceleration of the kayak by using the following kinematic equation;

v² = u² + 2ad

(0.509)² = 0  +  (2 x 0.555)a

0.259081 = 1.11a

a = 0.259081 / 1.11

a = 0.233 m/s²

The magnitude of the net force acting on the kayak is calculated by using Newton's second law of motion;

F = ma

F = 63.4 x 0.233

F = 14.77 N

Therefore, the magnitude of the net force acting on the kayak is 14.77 N.