The boys' acceleration will be 3.785 m/s². It is the rate of change of the velocity on the inclined plane.
What is the friction force?
It is a type of opposition force acting on the surface of the body that tries to oppose the motion of the body. Its unit is Newton(N).
Mathematically, it is defined as the product of the coefficient of friction and normal reaction.
On resolving the given force and acceleration in the different components and balancing the equation gets. Components in the x-direction.
From Δ ABC
[tex]\rm sin 37^0 = \frac{F}{mg} \\\\ F= mg sin37^0[/tex]
[tex]\rm cos 37^0 = \frac{F_N}{mg } \\\\\ F_N= mg cos 37^0[/tex]
Components and balancing the equation gets. Components in the x-direction.
[tex]\rm F-F_N = mg sin 37^0 - \mu (mg cos 37^0) = ma \\\\ mg (sin37^0 -\mu cos 37^0 )= ma \\\\ 9.81 (0.386 ) = a \\\\ a= 3.785 \ m/sec^2[/tex]
Hence, the boys' acceleration will be 3.785 m/s².
To learn more about the friction force, refer to the link;
https://brainly.com/question/1714663
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