Calculating Distance Slid on Ground with Friction | Baseball Player Example

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Homework Help Overview

The problem involves a baseball player sliding into third base with an initial speed of 7.9 m/s and a coefficient of kinetic friction of 0.41. The objective is to determine the distance the player slides before coming to rest, but specific values such as mass are not provided.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the need for acceleration and distance, with some suggesting the use of Newton's second law to find acceleration due to friction. Questions arise regarding the normal force and its relationship to gravity, as well as the implications of not having the mass of the player.

Discussion Status

Participants are actively exploring the problem, with some offering guidance on using frictional forces and the work-energy theorem. There is a recognition of the need to define mass as an unknown variable, and multiple interpretations of the equations involved are being discussed.

Contextual Notes

The absence of the player's mass is noted as a constraint, leading to discussions about how to proceed without it. Participants are questioning foundational concepts related to friction and forces.

Confused too
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Homework Statement



A baseball player slides into third base with an initial speed of 7.9 m/s. If the coefficient of kinetic friction the player and the ground id .41, how far does the player slide before coming to rest

Homework Equations



vf^2=vi^2 + 2ad
kf=μm

The Attempt at a Solution


I tried subsituting but I need acceleration and distance. I didn't know where to go from there
 
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Are you given mass of the baseball player?
 
Ace. said:
By kf=μm do you mean Fk = μk x FN?

Note that FN is the normal force which in this case is equal to force of gravity.

This equation may also be of use to you : a = FUN / m

sorry, yeh you're right with the formula

but why is the normal force equal to gravity and what is FUN
 
Sorry, do you have mass?
 
No, no mass is given
 
Confused too said:
I tried subsituting but I need acceleration and distance.
Use Newton's 2nd law to find the acceleration. The only force acting (at least horizontally) is friction.

Just call the mass 'm'. You won't need an actual value.
 
Doc Al said:
Use Newton's 2nd law to find the acceleration. The only force acting (at least horizontally) is friction.

Just call the mass 'm'. You won't need an actual value.

I don't understand. F=ma so a=F/m but we don't have an F. I don't really understand frictional forces at all
 
Welcome to PF!

Hi Confused too! Welcome to PF! :smile:
Confused too said:
A baseball player slides into third base with an initial speed of 7.9 m/s. If the coefficient of kinetic friction the player and the ground id .41, how far does the player slide before coming to rest
Confused too said:
I don't really understand frictional forces at all

You have the coefficient of frictionk = 0.41) …

so if the mass is m, what is the friction force? :wink:

(btw, you can then use the work energy theorem)
 


tiny-tim said:
Hi Confused too! Welcome to PF! :smile:

thanks :smile:

You have the coefficient of frictionk = 0.41) …

so if the mass is m, what is the friction force? :wink:

(btw, you can then use the work energy theorem)

But we're not given m and what's the work energy theorem?
 
  • #10


Confused too said:
But we're not given m
So create an unknown for it (m?) and with luck it will cancel out of the equations later.
and what's the work energy theorem?
In this case, that the kinetic energy lost by the player is equal to the work done sliding against friction. But you might as well stick with the equations you quoted. (The second one is more accurately written kf=μmg.)
 

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