Achild goes down a playground slide with an acceleration of 1.12 m/s2 .find the coefficient of kinetic friction between the child and the slide if the slide is inclined at an angle of 27.0 ∘ below the horizontal.

The friction force is the product of the coefficient of friction and normal reaction. The coefficient of kinetic friction between the child and the slide will be 0.38.

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.

By resolving all the forces we get

Force in the y-direction

Force in the x-direction

According to newtons second law of motion

∑F = ma

∑F = mgsinα-μmgcosα

mgsinα-μmgcosα=ma

a=1.12 m/sec²

Hence the coefficient of kinetic friction between the child and the slide will be 0.38.

To know more about friction force refer to the link;

link

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