A Roller Coaster Car (Mass = M) Is on a Track

question 14

Multiple Choice

A roller coaster car (mass = M) is on a track that forms a circular loop (radius = r) in the vertical plane. If the car is to just maintain contact with the track at the top of the loop, what is the minimum value for its speed at that point?

• A) rg
• B) 2rg
• C) (rg)^1/2
• D) (2rg)^1/2
• E) (0.5rg)^1/2

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Definitions:

Progressive Income Tax

A tax system where the tax rate increases as the taxable amount increases, meaning higher income earners pay a larger percentage of their income in taxes compared to lower income earners.

Progressive Income Tax

A tax system where the tax rate increases as the taxable amount increases, placing a higher financial burden on wealthier individuals.

Regressive Income Tax

A tax system where the tax rate decreases as the taxable amount increases, placing a higher relative burden on lower-income earners.

Marginal Tax Rate

The rate at which the last dollar of income is taxed, reflecting the rate applied to each additional dollar of income.