Question

A child goes down a playground slide with an acceleration of 1.22 m/s2 . You may want to review (Pages 156 - 163) .

Part A Find the coefficient of kinetic friction between the child and the slide if the slide is inclined at an angle of 34.0 ∘ below the horizontal.

Answer 1

given

a = 1.22 m/sec²

= 34.0^∘

we have equation

f_k = _k N

= _k ( m g cos )

and along the line the equation of motion is

m g sin - f_k = m a

m g sin - _k m g cos = m a

g sin - _k g cos = a

_k = ( g sin - a ) / g cos

= ( 9.8 x sin34 - 1.22 ) / 9.8 x cos34

= ( 5.48 - 1.22 ) / 8.124

= 4.26 / 8.124

_k = 0.5243

so the coefficient of kinetic friction between the child and the slide is _k = 0.5243