Question #108854

a child of mass 30kg skates down from the top of a ramp having a constant slope of 15degree. the childs speed increases from 1.5m/s to 3m/s as she reaches the bottom of the ramp. a force of kinetic friction of magnitude 50N opposes her motion. draw the appropriate force diagram and determine the length of the ramp. take g=10m/s²

Expert's answer

Hence the value of frictional force is given 50 N

let's calculate the force along the plane=mgsin15^{o} = 77.6 N

acceleration down the plane = "\\frac{77.6-50}{30}=0.92m\/s^2"

now applying

"v^2-u^2=2aS\\\\3^2-1.5^2=2\\times0.92\\times S\\\\S=3.67m"

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