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.