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Grade 10 - Mechanics - LO.3 - Reference frame and Difference of velocities

Grade 10 - Mechanics - LO.3 - Reference frame and Difference of velocities
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Tuesday, June 14, 2022


      

We have in LO.3 Mechanics G10

First: the Concepts

A. Reference frame
B. Reference object
C. Velocity as a signed quantitiy
D. Difference of velocities


Second: the References

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Third: the Videos links


Fourth: Skills

A. Determine the relative velocity of one object wrt another, both of which moving in 1-D
B. Can analyze the relative velocities of two objects before and after a collisin in 1-D given the pre- and post-collision velocities


Fifth: the materials as PPT., DOCX., and PDF

In the Drive from this link


Few Notes:

Relative Velocity 

When we are travelling in a car or bus then we can see the trees and buildings outside, going backward. But are they really going backward? No, as we know that it is our vehicle that is moving while the trees are stationary on the ground. So, then why do the trees appear to be moving backward? On the other hand, the co-passengers with us who are moving, but appear stationary to us despite moving. This concept is explained in physics with the help of relative velocity. In this topic, we will see the relative velocity formula withy examples. Let us learn it!

Relative Velocity Formula

Relative Velocity Formula

What is relative velocity?

Since we and our co-passengers are moving together. Therefore, there is no relative velocity between us and the passengers. Also, the trees are stationary while we moving. Thus, the trees are moving at some relative velocity with respect to us and the other passengers. Here, the relative velocity is the difference of velocities between you and the tree.

Relative velocity is generally used to describe the motion of airplanes in the wind or moving boats through water etc. This velocity is computed according to the person as an observer inside the object. This can be determined by introducing an intermediate frame of reference.

Let us consider two objects A and B which are moving relative to each other. Then the relative velocity will be the velocity in which a body A would appear to body B and vice versa. Mathematically, we nay say that the relative velocity will be the vector difference between the velocities of two objects.

The relative velocity of A with respect to B= velocity of the body A – velocity of the body B.

Mathematically,

V_{AB} = V_{A}– V_{B}

Where:

V_{AB}  relative velocity of the body A respect body B

V_{A}  velocity of the body A

V_{B} velocity of body B



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