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The normal force equals the magnitude of the gravitational force as a roller coaster car crosses the top of a 33-mm-diameter loop-the-loop. Part A What is the car's speed at the top? Express your answer to two significant figures and include the appropriate units.

Respuesta :

Answer:

v = 0.56 m/s

Explanation:

When passing the loop-the-loop, the car is making circular motion.

where R = 33/2 = 16.5 mm = 0.0165 m.

The acceleration can be found by Newton’s Second Law: F = ma.

At the top of the loop-the-loop: F = N + mg = 2mg.

Combining the two equations yields:

[tex]2mg = m\frac{v^2}{R}\\

2g = \frac{v^2}{R}\\

2(9.8) = \frac{v^2}{0.0165}\\

v = 0.56~m/s[/tex]

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