How Does a Car's Momentum Change If Its Kinetic Energy Doubles?

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Homework Help Overview

The discussion revolves around the relationship between kinetic energy and momentum in the context of a car that doubles its kinetic energy while descending a hill. Participants are exploring how this change affects the car's momentum.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • Participants are examining the mathematical relationship between kinetic energy and momentum, questioning how to derive the change in momentum from the change in kinetic energy. There is an attempt to express the final velocity in terms of the initial velocity.

Discussion Status

Some participants have provided calculations and approximations regarding the factor by which momentum changes, indicating a productive exploration of the topic. However, there is no explicit consensus on the reasoning behind the calculations presented.

Contextual Notes

The original poster's statement includes a specific scenario involving a constant mass and a slope, which may influence the assumptions being made in the discussion.

Lolagoeslala
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Homework Statement


A car (of constant mass) doubles its kinetic energy while driving down a hill sloped at 45º. The factor by which its momentum changes is answer is 1.4?
 
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Lolagoeslala said:
The factor by which its momentum changes is answer is 1.4?
Yes. The factor is √2 ≈ 1.41
 
Doc Al said:
Yes. The factor is √2 ≈ 1.41

Would u get how u got that?

1/2mv^2 = P right?
 
{KE}_1 = 1/2 m v^2_1
{KE}_2 = 2 {KE}_1
Find v2 in terms of v1.
 

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