Answer to Question #96356 in Mechanics | Relativity for Mike

Question

Adam pushes a 47 kg boat across a frozen lake. The coefficient of kinetic friction between the boat and the ice is 0.13 and the boat acceleration at 0.6 m/s^2. Calculate the magnitude of Adams force in the boat.

Answer 1

$ma=F-F_{friction}=F-\mu mg$

The magnitude of Adams force on the boat:

$F=ma+\mu mg=m(a+\mu g)$

$F=47(0.6+(0.13)(9.8))=88\ N$