Calculating Kinetic Energy: Golf Ball with Initial Speed of 55.4 m/s

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Homework Help Overview

The discussion revolves around calculating the kinetic energy of a golf ball with a given mass and initial speed, as well as its speed at a specific height below its highest point. The subject area includes concepts of kinetic energy, gravitational potential energy, and the conservation of mechanical energy.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the application of kinetic energy and gravitational potential energy formulas, questioning how to account for height in the calculations. There are inquiries about the relationship between kinetic and potential energy at the highest point of the ball's trajectory.

Discussion Status

Participants are exploring various concepts related to energy conservation, with some providing equations and others questioning assumptions about energy states at different points in the ball's flight. Guidance has been offered regarding unit conversions and the relationship between kinetic and potential energy.

Contextual Notes

There is an emphasis on the need to convert mass from grams to kilograms for calculations, and participants are considering the implications of neglecting air resistance in their analysis.

eanderson
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A 47.7-g golf ball is driven from the tee with an initial speed of 55.4 m/s and rises to a height of 31.2 m. (a) Neglect air resistance and determine the kinetic energy of the ball at its highest point. (b) What is its speed when it is 8.47 m below its highest point?
 
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What have you tried? You need to show some effort. What equations/concepts might apply here?
 
K = (1/2)mv^2 and i need something to help deal with the height part
 
Do you know about gravitational potential energy?
 
U=mgh... 47.7(-9.8)31.2 =14584.754 = U or gravitational potential energy
 
Mechanical energy (KE + PE) is conserved. Careful with units. (The mass is given in grams, not kg.)
 
.0477(-9.8)(31.2) = -14.584752
 
wouldnt kinetic be 0 at the highest point because all the energy is potential?
 
eanderson said:
wouldnt kinetic be 0 at the highest point because all the energy is potential?
No. Only the vertical component of velocity is zero at the highest point--it's still moving horizontally.
 
  • #10
what do i do now?
 
  • #11
eanderson said:
what do i do now?
Compare the initial energy (KE + PE) at the start with the energy (KE + PE) at the top. The ball loses KE as it gains PE.
 

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