Finding ratio of accelerations, Ab/Aa

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In summary, the formula for finding the ratio of accelerations is Ab/Aa = Ab / Aa, where Ab is the acceleration of body B and Aa is the acceleration of body A. The acceleration of a body can be determined by dividing the change in velocity by the change in time, represented by the formula a = (vf - vi) / t. The ratio of accelerations, Ab/Aa, tells us the relative difference in acceleration between two bodies, with a value greater than 1 indicating that body B is accelerating faster than body A and a value less than 1 indicating the opposite. The ratio of accelerations cannot be negative as it is a comparison of magnitudes. In scientific research, the ratio of accelerations
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Homework Statement



Two astronauts are floating in space. Astronaut A's mass is 1.89 times greater as that of astronaut B. IF astronaut A pushes astronaut B, what is the ration of their accelerations, Ab/Aa.


Homework Equations


F=ma
MaAa=MbAb (M is the mass, A is acceleration)


The Attempt at a Solution


1.89/1 to get the ratio. Just used the formulas
 
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Yes.
 

Related to Finding ratio of accelerations, Ab/Aa

1. What is the formula for finding the ratio of accelerations?

The formula for finding the ratio of accelerations, Ab/Aa, is Ab/Aa = Ab / Aa, where Ab is the acceleration of body B and Aa is the acceleration of body A.

2. How do you determine the acceleration of a body?

The acceleration of a body can be determined by dividing the change in velocity by the change in time. This can be represented by the formula a = (vf - vi) / t, where vf is the final velocity, vi is the initial velocity, and t is the elapsed time.

3. What does the ratio of accelerations tell us?

The ratio of accelerations, Ab/Aa, tells us the relative difference in acceleration between two bodies. A value greater than 1 indicates that body B is accelerating faster than body A, while a value less than 1 indicates that body A is accelerating faster than body B.

4. Can the ratio of accelerations be negative?

No, the ratio of accelerations cannot be negative. Acceleration is a vector quantity, meaning it has both magnitude and direction. The ratio of accelerations is a comparison of the magnitudes of two accelerations, so it will always be a positive value.

5. How is the ratio of accelerations used in scientific research?

The ratio of accelerations is commonly used in scientific research to compare the accelerations of different bodies or systems. It can also be used to analyze the effects of different variables on acceleration, such as mass or force. This information can help scientists better understand and predict the behavior of objects in motion.

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