Question

A train is moving east at a speed of 15 m/s relative to the Earth. A passenger inside the train walks north at 3 m/s relative to the train. Questions: 1. What is the speed of the passenger relative to the Earth? 2. At what angle (relative to the east direction) is the passenger moving with respect to the Earth?

Name: a train is moving east at a speed of 15 ms relative to the earth a passenger inside the train walks north at 3 ms relative to the train questions 1 what is the speed of the passenger relativ 61584
Uploaded: 2023-06-14T09:05:06-08:00
Duration: 1 min 44 s
Channel: Adi S
Description: a train is moving east at a speed of 15 ms relative to the earth a passenger inside the train walks north at 3 ms relative to the train questions 1 what is the speed of the passenger relativ 61584

          A train is moving east at a speed of 15 m/s relative to the Earth. A passenger inside the train walks north at 3 m/s
relative to the train.
Questions:
1. What is the speed of the passenger relative to the Earth?
2. At what angle (relative to the east direction) is the passenger moving with respect to the Earth?

a train is moving east at a speed of 15 ms relative to the earth a passenger inside the train walks north at 3 ms relative to the train questions 1 what is the speed of the passenger relativ 61584

Added by Angela M.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Adi S

06/14/2023

Step 1

We can use the Pythagorean theorem to find the magnitude of the passenger's velocity relative to the Earth. $$v = \sqrt{v_{east}^2 + v_{north}^2}$$ $$v = \sqrt{(15 m/s)^2 + (3 m/s)^2}$$ $$v = \sqrt{225 + 9}$$ $$v = \sqrt{234}$$ $$v \approx 15.3 m/s$$ Show more…

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A train is moving east at a speed of 15 m/s relative to the Earth. A passenger inside the train walks north at 3 m/s relative to the train. Questions: 1. What is the speed of the passenger relative to the Earth? 2. At what angle (relative to the east direction) is the passenger moving with respect to the Earth?