A person in a kayak starts paddling, and it accelerates from 0 to 0.568 m/s in a distance of 0.389 m. If the combined mass of the person and the kayak is 79.5 kg, what is the magnitude of the net force acting on the kayak?
average speed = .568/2 = .284 m/s
time = t = .389/.284 = 1.37 seconds
a = change in speed / change in time
= .568/1.37 = .415 m/s^2
F = m a = 79.5*.415 = 33 Newtons
To determine the magnitude of the net force acting on the kayak, we can use Newton's second law of motion, which states that the net force acting on an object is equal to the product of its mass and acceleration. In this case, we are given the acceleration and the mass of the kayak.
The formula for Newton's second law is:
F = m * a
Where:
F is the net force (what we need to find)
m is the mass of the kayak and the person (79.5 kg)
a is the acceleration of the kayak (0.568 m/s^2)
Plugging in the values given:
F = 79.5 kg * 0.568 m/s^2
Calculating this:
F = 45.156 N
Therefore, the magnitude of the net force acting on the kayak is 45.156 Newtons.