Question

A person in a kayak starts paddling, and it accelerates from 0 to 0.65 m/s in a distance of 0.40 m. If the combined mass of the person and the kayak is 75 kg, what is the magnitude of the net force acting on the kayak?

Answer 1

Magnitude of the net force acting on the kayak = 39.61 N

Step-by-step explanation:

Considering motion of kayak:-

Initial velocity, u = 0 m/s

Distance , s = 0.40 m

Final velocity, v = 0.65 m/s

We have equation of motion v² = u² + 2as

Substituting

v² = u² + 2as

0.65² = 0² + 2 x a x 0.4

a = 0.53 m/s²

We have force, F = ma

Mass, m = 75 kg

F = ma = 75 x 0.53 = 39.61 N

Magnitude of the net force acting on the kayak = 39.61 N