Answered: At the center of a 47.0 m diameter…

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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Question

At the center of a 47.0 m diameter circular ice rink, a 56.0 kg skater traveling north at 2.60 m/s collides with and holds onto a 59.0 kg skater who had been heading west at 1.05 m/s. How long (in seconds) will it take them to reach the edge of the rink assuming negligible friction and drag?

Expert Solution

Step 1

Given:

mass of skater 1, $m_{1} = 56 kg$

mass of skater 2, $m_{2} = 59 kg$

velocity of skater 1, $v_{1} = 2.60 \hat{i} m / s$

velocity of skater 2, $v_{2} = - 1.05 \hat{j} m / s$

Solution:

Consider the free-body diagram of the system as shown below:

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