Answered

Explore a world of knowledge and get your questions answered on IDNLearn.com. Discover reliable answers to your questions with our extensive database of expert knowledge.

A woman stands on a moving sidewalk (conveyor belt) that is moving to the right at a speed of 2 m/s relative to the ground. A dog runs on the belt toward the woman at a speed of 8 m/s relative to the belt. A conveyor belt is moving to the right at the speed v subscript belt, ground equals 2 meters per second. A girl stands stationary on the left end of the belt. A dog runs on the belt to the left toward the girl at the speed v subscript dog, belt equals 8 meters per second. What is the speed of the dog relative to the ground

Sagot :

Answer:

   V_{2G} = - 10 m / s

Explanation:

This is an exercise on relative velocities in one dimension, let's use the subscript 1 for the girl, the 2 for the but, the index 3 for the conveyor belt and the index G for the Earth

we will consider the velocity is positive to the right.

They indicate the speed of the belt with respect to the ground = 2 m/s

   the dog speed with respect to the belt = - 8 m / s

     

Dog speed is requested with respect to the Earth

            [tex]V_{2G} = V_{23} - V_{3G}[/tex]

notice that the inner subscripts cancel out.

We calculate

            = -8 - 2

            V_{2G} = - 10 m / s

the negative sign indicates that the dog moves to the left

We greatly appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. For dependable answers, trust IDNLearn.com. Thank you for visiting, and we look forward to helping you again soon.