Flag Mechanics> An object has velocity relative to the gr...
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An object has velocity src=data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABkAAAAXCAIAAABxgXNEAAAAnUlEQVQ4jdWU0Q2AMAhEmesGYh6mYRmGqR9tTNEWNNYY75OP17ujgco60VcsZWJdxCrFBHNcz1Kma5rQ3vKVam1foYgIYt3ABK6TVmLkZ2c5kDJBzATthRaqjnPWYGYCZyQsPGEp++BJ5RHrYMsE04A+/IDlbSmPSbVUIGc1WyYI03nPZ9Ye8cL2Mtbphz1h3dAqVn9VaoTP7upPWRsRxRExT4hOAgAAAABJRU5ErkJggg== relative to the ground. An observer moving past with a constant velocity src=data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABkAAAAWCAIAAAC63aDhAAAAq0lEQVQ4jbWU0Q0EIQhEqYuCqIdqaIZivI9TV1xZ2AvHn4Q8ZkYjtLqC9KQQkBSxWlPGR9xkCUGufNpfdIVVm1dUAICs46SMJpMeYqBnsi6QECCrMnZ8N/Vtp1h7QxmNkCjwJ5aQcZ2I3GVtspQxafDAsrKEXNK4pmX8xOqylNF1d6WojIMG95nE7S0bF9gxr/BJmU0T/Nu7L2YlPL6G+dm/o20fWuk/Ucj6APOcqIfwW+3qAAAAAElFTkSuQmCC relative to the ground measures the velocity of the object to be src=data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABwAAAAZCAIAAACtotlwAAAArklEQVRIieXUwQ3DMAgFUOZiIOZhGpZhGPfQxALqUBzH6qEco+jlA3agbSj4LSoEJE+jrSljze2oENSqwO5N+rU2zbRcHlVGN7dj0NWEA1QIkFUZAZC19/t+vJD0DGuilbeToULgkk3s5xINQZVxtvcB6oMKZaS5L76ZEXq8oYxJ42Z/cWIR7d3P7FwZU/TjpNbM8P3lGzU6HUvo1RleQG1GIYvfRuP/9xE0qz9HX3J8eJ4vEiInAAAAAElFTkSuQmCC (relative to the observer). The magnitudes of these velocities are related by
(A) v0 ≤ v1 + v2. (B) v1 ≤ v2 + v0.
(C) v2 ≤ v0 + v1.
(D) All the above are true.

Simran Bhatia , 10 Years ago
Grade 11
anser 1 Answers
Aditi Chauhan

Last Activity: 10 Years ago

The correct option is: (C) v2 < v0 + v1.
The object moving with velocity \overrightarrow{v_{o}}relative to ground observe the maximum velocity of object moving with velocity\overrightarrow{v_{1}} , when both objet move in the opposite direction relative to each other such that
v2 = v0 + v1
For any other direction of motion between object moving with velocity \overrightarrow{v_{0}}and object moving with velocity \overrightarrow{v_{1}}, the relative speed as observed by the object moving with velocity \overrightarrow{v_{1}}will be less than v0 + v1 .
Therefore, the magnitude of velocity of object moving with velocity \overrightarrow{v_{0}}relative to the object moving with velocity\overrightarrow{v_{1}} will always be less than or equal to the sum of their velocity with respect to ground, that is
v2 \leq v0 + v1
Therefore, (C) is the correct option and the rest are ruled out.



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