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Superman's Power and Friction: Analyzing Force and Movement

In this analysis, we explore Superman's capability to move a heavy boat using frictional forces. Given Superman's weight of 200 lb and the boat's weight of 10 tons, we calculate the minimum coefficient of static friction needed between Superman's feet and the dock to initiate movement, and the further static friction requirements to accelerate the boat at 10 ft/s². We clarify the roles of static and dynamic friction in maintaining balance and propulsion, showcasing the essential nature of friction in daily life and the intriguing comparison with the movement strategies of snakes.

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Superman's Power and Friction: Analyzing Force and Movement

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Presentation Transcript

  1. Review Example: Friction • Assuming that Superman weighs 200 lb, the boat weighs 10 tons, and the coefficients of friction between the boat and dock are µs = 0.5 and µk = 0.25 find: • The minimum coefficient of static friction between Superman’s feet and the dock to move the boat at all. • The minimum coefficient of static friction to accelerate the boat at 10 ft/s2.

  2. Superman’s Sticky Feet • To get the boat to just budge, Superman must provide a force equal to the weight of the boat times its coefficient of static friction • For Superman to stay stationary, by Newton’s 3rd law, the ground must provide an equal and opposite force to Superman’s pull • Static case: • Dynamic case: • Force on boat: • Friction: • Clearly Superman is much heavier than we think or has some really sticky feet!

  3. Example: Snakes on a Plane • Is friction good or bad? How does it affect you in your daily life? • Snakes are masters at manipulating friction to move • They (and you) can’t move without friction • They also can’t move without different friction coefficients in different directions! • Snakes manipulate friction using their scales

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