Answer to Question #17136 in Mechanics | Relativity for Brianna

Question

a person in a kayak starts paddling, and it accelerates from 0 to .60 m/s in a distance of .41 m. If the combined mass if the person and the kayak is 73 kg, what is the magnitude of the net force acting on the kayak?

Answer 1

Let's find the acceleration of a kayak:

V = at ==> t = V/a

D = at²/2 = a(V/a)²/2 = aV²/(2a²) = V²/(2a) ==> a = 2V²/D = 2*(0.60[m/s])²/0.41[m] = 1.76[m/s²].

According to the second Newton's law, the magnitude of the net force acting on the kayak is

F = m*a = 73[kg] * 1.76[m/s²] = 128.48[N]