Momentum of a Doubled Cannonball with Doubled Velocity

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SUMMARY

The discussion focuses on the calculation of momentum when both the mass and velocity of a cannonball are doubled. Momentum, defined as the product of mass (m) and velocity (v), is expressed mathematically as P = mv. When both mass and velocity are doubled, the new momentum becomes quadrupled (P = 2m * 2v = 4mv). Therefore, the correct answer to the posed question is c) quadrupled.

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This discussion is beneficial for physics students, educators, and anyone interested in understanding the fundamental principles of momentum and its applications in various physical scenarios.

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Hey guys, I'm having a little trouble answering this question. At first I thought it was A, but then I started thinking in multiplying and now I"m not sure...



Momentum is inertia in motion, and it is equal to the product of a body's mass and its velocity. For example, if the speed of a projected cannonball is doubled, then the momentum is doubled. if instead the cannonball's mass is doubled, then the momentum is likewise doubled. Suppose, however, that a cannonball's mass is somehow doubled and its velocity is also doubled. Then its momentum is
a) the same
b) doubled
c) quadrupled
d) none of these


 
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Try to solve this by substituting some numbers if you can't see it. Say m=2 and v =2. What is the momentum? Now double both. How does the new momentum relate to the old momentum?
 
The definition of momentum (represented by P) is P = mv.

Apply this knowledge and you should have little to no problem finding the correct answer.

chella said:
Hey guys, I'm having a little trouble answering this question. At first I thought it was A, but then I started thinking in multiplying and now I"m not sure...
Momentum is inertia in motion, and it is equal to the product of a body's mass and its velocity. For example, if the speed of a projected cannonball is doubled, then the momentum is doubled. if instead the cannonball's mass is doubled, then the momentum is likewise doubled. Suppose, however, that a cannonball's mass is somehow doubled and its velocity is also doubled. Then its momentum is
a) the same
b) doubled
c) quadrupled
d) none of these
 

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