A rebound and kinetic energy problem with a little specific heat

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Homework Help Overview

The problem involves a ball thrown vertically downward that strikes a surface and rebounds, raising questions about the speed after rebounding, energy loss during the bounce, and temperature change due to energy absorption. The subject area includes concepts of kinetic energy, potential energy, and specific heat.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss using the conservation of energy to relate kinetic and potential energy, with one participant attempting to express energy loss in terms of mass. Questions arise regarding how to determine the mass of the ball and the implications of energy loss.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of energy conservation and attempting to clarify how to approach the problem without reaching a consensus. Some guidance has been offered regarding potential energy equations and expressing results as functions of mass.

Contextual Notes

Participants note the absence of mass in the original problem statement, which affects their calculations and reasoning. There is also a mention of neglecting air resistance, which may influence energy considerations.

redsmithers91
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Homework Statement


A ball is thrown vertically downward strikes a surface with a speed of 15m/s. It then bounces, and reaches a maximum height of 5 meters. Neglect air resistance on the ball.

a) What is the speed of the ball immediately after it rebounds from the surface?
b)What fraction of the ball's initial kinetic energy is apparently lost during the bounce?
c)If the specific heat of the ball is 1,800 j/kg*C, and if all of the lost energy is absorbed by the molecules of the ball, by how much does the temperature of the ball increase?

Homework Equations


KE=1/2mv^2
Q=mL(delta "T")

The Attempt at a Solution


my answer for a was crazy so i am pretty much stuck with the rest
 
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Use law of conservation of energy - at any level (when there are no energy loss) potential energy+kinetic energy = constant. When ball is hitting a surface at 15 m/s, there is only a kinetic energy. When it reaches maximum height 5 m - there is only potential energy. Calculate what height would it be if all of kinetic energy at start where converted to potential. From difference you will find loss of energy during contact with surface ;] hope this will help. By the way - potential energy equation near Earth's surface: EP = mgh
 
but how do i find the mass ...i found the the joules lost to be 63(mass) joules
 
Well i don't know ;] so maybe express your answer as a function of mass, deltaT=(some number)/m.
 

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