Rec02_172Spring2012

Rec02_172Spring2012 - Physics 172 Recitation 02 Spring 2012...

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Physics 172 – Recitation 02 Spring 2012 You will find more information about the topics covered in today’s problems in chapter 1 and in sections 2.1 through 2.3 of chapter 2 of the text. Problem 1. A child is playing with a low-friction toy car on the balcony of her mother’s apartment. The figure below shows the car’s position at a sequence of equally spaced times separated by 0.226 seconds. It shows the car initially running in the x direction, under the guardrail and off the edge of the balcony at time 3 t . The x -axis runs along the level ground below the balcony. The y -axis runs vertically upward and the z -axis points toward you. The gridlines shown are 1 meter apart. 1 3 5 6 2 4 7 y x a) What are the components of the vectors r 21 and r 32 representing the displacement of the toy car as it rolls across the balcony? Don’t forget to show the units of the components of these and the other vectors you work with today. b) What are the components of the toy car’s average velocity vector between times 1 t and 2 t ? Between 2 t and 3 t ? Explain how your answers are consistent with Newton’s first law and what you know about the interactions between the car and its surroundings as it rolls across the balcony. c) What is the toy car’s speed as it rolls across the balcony? What are the components of the unit vector ˆ v representing the direction of the toy car’s velocity as it rolls across the balcony? What are the components of the toy car’s instantaneous velocity at 3 t just as it leaves the edge of the balcony? Save this result. You will need it later.

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Rec02_172Spring2012 - Physics 172 Recitation 02 Spring 2012...

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