Force using Newton's second law

Thread starter ruthi
Start date Sep 23, 2006
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Force Law Newton's second law Second law

AI Thread Summary

To calculate the coefficient of kinetic friction between the slide and the child, first determine the child's speed at the bottom of the slide in a frictionless scenario using Newton's second law and kinematic equations. The incline of 28 degrees affects the gravitational force component acting down the slide, which can be calculated as m*g*sin(θ). In the frictionless case, the final speed can be found using the equation v = sqrt(2*a*d), where 'a' is the acceleration and 'd' is the distance along the slide. Since the child's speed at the bottom is half of what it would be without friction, the kinetic friction force must be accounted for, leading to the equation involving the coefficient of kinetic friction. Solving these equations will yield the required coefficient of kinetic friction.

Sep 23, 2006

ruthi

A child slides down a slide with a 28 degrees incline and at the bottom her speed is preisely half what it would have been if the slide had been firctionless. Caluclate the coefficient of kinetic friction bewteen the slide and the child.

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Sep 23, 2006

Pyrrhus

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So what have you done?

Hint: Solve for the frictionless case, and for the kinematics consider uniform acceleration.

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