A Person in a Kayak Starts Paddling: Calculating the Net Force Acting on the Kayak

A Person in a Kayak Starts Paddling: Calculating the Net Force Acting on the Kayak

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?

Question:

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

Answer:

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.

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