Without slipping, a certain solid uniform ball rolls at speed v on a horizontal surface and then up a hill to a maximum height h0. How does the maximum height change (in terms of h0) if you make only the following changes: (a) double the ball’s diameter, (b) double its mass, (c) double both its diameter and mass, (d) double its angular speed at the bottom of the hill?

Without slipping, a certain solid uniform ball rolls at speed v on a horizontal surface and then up a hill to a maximum height h0. How does the maximum height change (in terms of h0) if you make only the following changes: (a) double the ball’s diameter, (b) double its mass, (c) double both its diameter and mass, (d) double its angular speed at the bottom of the hill?

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