How to Calculate Net Force Acting on a Kayak?

What is the magnitude of the net force acting on the kayak?

If a person in a kayak starts paddling, and accelerates from 0 to 0.680 m/s in a distance of 0.428 m, with a combined mass of 82.7 kg, what is the magnitude of the net force acting on the kayak?

Answer:

Net force, F = 44.66 N

Explanation:

When a person in a kayak starts paddling and accelerates from rest to 0.680 m/s over a distance of 0.428 m, we can calculate the net force acting on the kayak using the following steps:

Given:

  • Initial velocity, u = 0 m/s
  • Final velocity, v = 0.680 m/s
  • Distance, s = 0.428 m
  • Mass, m = 82.7 kg

We know that the net force acting on an object is given by the equation: F = ma

Firstly, we calculate the acceleration (a) using the equation of motion:

a = (v² - u²) / 2s

a = ((0.680 m/s)² - 0) / (2*0.428 m)

a = 0.54 m/s²

Now, we can find the net force by substituting the values into the equation:

F = 82.7 kg * 0.54 m/s²

F = 44.66 N

Therefore, the net force acting on the kayak is 44.66 N.

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