Question

In the movie, “Back to the Future: Part III”, the protaganists need to get their time machine up to a speed of 88 miles per hour but do not have any gasoline. They float the idea of waiting until winter so they can use ice to create a frictionless surface on a mountain.

Model their time machine as a cylinder of radius 2.4 m, mass of 750 kg, and assume rolling motion on a frictionless sloped surface that makes an angle of 10◦ with respect to the horizontal.
How tall of a slope is required for the object’s center of mass to achieve a linear speed of 88 miles (or in SI units: 39.34 m.)

Answer 1

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