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For the teacups at an amusement park, the velocity v in meters per second of a teacup moving around a curve with a radius r meters is given by the formula v = Var, where a is the cups acceleration in m/s². For safety reasons, a ride has a minimum acceleration of 39.2 m/s². If the cups on the ride have a velocity of 10 m/s what is the smallest radius that any curve on the ride may have? State your claim, show your evidence and provide your reasoning. Check:

For the teacups at an amusement park, the velocity v in meters per second of a teacup moving around a curve with a radius r meters is given by the formula v = Var, where a is the cups acceleration in m/s². For safety reasons, a ride has a minimum acceleration of 39.2 m/s². If the cups on the ride have a velocity of 10 m/s what is the smallest radius that any curve on the ride may have? State your claim, show your evidence and provide your reasoning. Check:

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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1. Write the final answer for the problem and add the units.

 

2. Write the claim and reasoning for this problem.

 

Example of how to write the claim and reasoning is the image with the black background.

The formula V PR relates the voltage V (in volts) power P (in watts) which is 18w and – resistance R (in ohms) of an electrical circuit. What is the resistance of the hair dryer with a 120-volt circuit) Explain your reasoning with claim, evidence and reasoning. V=JPR 120 = √1875=R (120)² = √1875R 14400 = 1875 R 1875 1875 2 R=7.68 ohms claim: The resistance is 7.68 ohms for a hair dryer with a 120 volt circuit. Reasoning: I plugged 120 v in forv and 1875 w in for P. I squared both sides to cancel the square root. I then solved for R by dividing both sides by 1875. check: 120=√1875(7.68) 120= √√√14400 120 = 120
Transcribed Image Text:The formula V PR relates the voltage V (in volts) power P (in watts) which is 18w and – resistance R (in ohms) of an electrical circuit. What is the resistance of the hair dryer with a 120-volt circuit) Explain your reasoning with claim, evidence and reasoning. V=JPR 120 = √1875=R (120)² = √1875R 14400 = 1875 R 1875 1875 2 R=7.68 ohms claim: The resistance is 7.68 ohms for a hair dryer with a 120 volt circuit. Reasoning: I plugged 120 v in forv and 1875 w in for P. I squared both sides to cancel the square root. I then solved for R by dividing both sides by 1875. check: 120=√1875(7.68) 120= √√√14400 120 = 120
For the teacups at an amusement park, the velocity v in meters per second of a teacup moving around a curve with a radius r meters is given by the formula v = √ar, where a is the cups acceleration in m/s². For safety reasons, a ride has a minimum acceleration of 39.2 m/s². If the cups on the ride have a velocity of 10 m/s what is the smallest radius that any curve on the ride may have? State your claim, show your evidence and provide your reasoning. v= √ær var 10= √39.2.1 (10) = (√39.21) JOD 39.2 = 34.ar 39.2 t=a.55 Check: 10= √√√39.2.2.5510204 10 = √IDO 10=10✓
Transcribed Image Text:For the teacups at an amusement park, the velocity v in meters per second of a teacup moving around a curve with a radius r meters is given by the formula v = √ar, where a is the cups acceleration in m/s². For safety reasons, a ride has a minimum acceleration of 39.2 m/s². If the cups on the ride have a velocity of 10 m/s what is the smallest radius that any curve on the ride may have? State your claim, show your evidence and provide your reasoning. v= √ær var 10= √39.2.1 (10) = (√39.21) JOD 39.2 = 34.ar 39.2 t=a.55 Check: 10= √√√39.2.2.5510204 10 = √IDO 10=10✓
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