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A railroad flatcar is traveling to the right at a speed of

Chapter 6, Problem 32E

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QUESTION:

A railroad flatcar is traveling to the right at a speed of 13.0 m/s relative to an observer standing on the ground. Someone is riding a motor scooter on the flatcar (?Fig. E3.30?). What is the velocity (magnitude and direction) of the scooter relative to the flat-car if the scooter’s velocity relative to the observer on the ground is (a) 18.0 m/s to the right? (b) 3.0 m/s to the left? (c) zero?

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QUESTION:

A railroad flatcar is traveling to the right at a speed of 13.0 m/s relative to an observer standing on the ground. Someone is riding a motor scooter on the flatcar (?Fig. E3.30?). What is the velocity (magnitude and direction) of the scooter relative to the flat-car if the scooter’s velocity relative to the observer on the ground is (a) 18.0 m/s to the right? (b) 3.0 m/s to the left? (c) zero?

ANSWER:

Solution 32E Step 1 of 3: What is the velocity (magnitude and direction) of the scooter relative to the flat-car if the scooter’s velocity relative to the observer on the ground is (a) 18.0 m/s to the right Here since the speeds are very less compared to speed of light, we can use normal velocity vector addition; The speed of the scooter relative to flat-car(moving) v scooterflatcar scooterground vflatcarground Where v scooterflatcar the speed of the scooter relative to flat-car(moving) v is the speed of scooter relative to ground. scooterground v is the speed of flatcar relative to ground. flatcarground Using v scooterground8 m/s and v flatcarground13 m/s in above equation, v scooterflatcar3 m/s 13 m/s v scooterflatcar m/s Since to the right is taken as positive.As the velocity of scooter relative to flatcar is also positive, which means it is 5 m/s towards right.

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