Conservation of energy/momentum

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Homework Help Overview

The problem involves a proton being propelled towards a uranium nucleus, with a focus on the conservation of energy and momentum. The scenario includes calculating the speed of the proton at a specific distance from the nucleus, considering the repulsive force acting on it.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to apply relevant equations but expresses uncertainty about which equations to use. Some participants suggest using simple force equations, while another mentions the need to find the work done by integrating the force.

Discussion Status

The discussion is ongoing, with participants exploring different approaches to the problem. There is no explicit consensus on a single method, but guidance has been offered regarding the use of force equations and integration to find work done.

Contextual Notes

The problem involves specific values for mass, initial speed, and force, but the original poster indicates difficulty in applying these to reach a solution. The setup assumes the uranium nucleus remains at rest, which may influence the interpretation of forces involved.

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Homework Statement


A proton with mass 1.59*10-27 kg is propelled at an initial speed of 3.49*105 m/s directly toward a uranium nucleus 4.97 m away. The proton is repelled by the uranium nucleus with a force of magnitude F = a/x2 where x is the separation between the two objects and a = 2.18 *10-26 Nm2. Assume that the uranium nucleus remains at rest. What is the speed of the proton when it is 8.60 *10-10 m from the nucleus?


Homework Equations



net force(F)=rate of change of momentum(dP/dt)
Total Energy before=Total Energy after
mathematically, E=kinetic energy(KE) before+potential energy(U) before=KE after + U after

The Attempt at a Solution


plugging in given values into the equations i think are relevant, but none of them get you any where..IS THERE AN EQUATION IM SUPPOSED TO USE?
 
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P.S initial speed=3.49*10^5 and so on
 
Use simple Force equations.
 
Find the work done by the force. You'll have to integrate.
 

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