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Please show the work I have the solutions! 11. A car drives around a flat circul

ID: 581447 • Letter: P

Question

Please show the work I have the solutions!

11. A car drives around a flat circular curve with radius 20 meters. If s = 0.845 find the maximum speed the car can take the curve without flying off the road.

12.You are designing a roller coaster and want to make a hill with radius 10 meters. At what speed will the riders feel weightless at the top? Hint: you feel weightless when you have no normal force.

13. A lifeguard friend wants to horizontally twirl his keys on a string over his head with a period of 1 rev/sec. If his string will break at a force of 10N and his keys have mass 200g, how long can the string be?

How much work does the string do on the keys in 1 revolution?

14. Brick A sits on Brick B. Brick B sits on a flat frictionless surface. A large constant force is applied to B. What is the largest magnitude of acceleration of Brick A? Between bricks there is friction with s = 0.75 and k = 0.5.

15. A moving car starts to brake and skids to a stop in 10m on a surface with k = 0.6. How fast was the car going?

16. For what value of M2 will the masses remain stationary? Assume there is no friction. M1 is 10kg and =60°

17. For what values of M2 will the masses remain stationary? Assume us = 0.6

M1 is 10kg and =60°

18. Find the ration of M2 to M1 which keeps the masses stationary when =30° Assume there is no friction.

Explanation / Answer

Please post other questions separately. Here is the answer to question#11

question#11

vmax = (sgr)1/2

vmax = (0.845 * 9.8 * 20)1/2

vmax = 12.87 m/s