Calculating Frictional Force: m=0.2kg h1=1.65m h2=0m v1=0m/s v2=4.02m/s"

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Homework Help Overview

The discussion revolves around calculating the frictional force acting on a mass as it moves down a ramp. The parameters provided include mass, initial and final heights, and velocities, with participants exploring the relationship between gravitational potential energy and kinetic energy.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning, Problem interpretation, Assumption checking

Approaches and Questions Raised

  • Participants discuss various methods to calculate the frictional force, including using kinematics and energy methods. Questions arise regarding the meaning of height variables, the need for distance, and the appropriate use of average versus final velocity in calculations.

Discussion Status

The discussion is active, with participants providing hints and guidance on how to approach the problem. Some participants express uncertainty about the necessary parameters, while others clarify the importance of specific values like distance and velocity in the calculations.

Contextual Notes

There is a noted lack of consensus on the correct approach, particularly regarding the use of average velocity versus final velocity. Additionally, some participants mention constraints related to their current educational exposure to energy concepts and kinematics.

  • #31
. In height one Gravitational energy is equal Total energy because object at top. In height two Kinetic energy is equal Total energy because object at the bottom.
 
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  • #32
OK, but how does that answer the question?
 
  • #33
Doc Al said:
OK, but how does that answer the question?

can u give me some hints.
 
  • #34
I gave you a big hint in post #15.
 
  • #35
Doc Al said:
I gave you a big hint in post #15.

i got it...
thaxxxxxxxx
 
  • #36
{Fe}_{(s)}+{CuCl}_{2}-{FeCl}_{2}+{Cu}_{(s)}

M_{fe}=55.85g/mol
m=1g
n = \frac{m}{M}
n = \frac{1g}{55.85g/mol}
n = 0.0179mol

\frac{1~mol~of~Fe}{0.0179~mol~of~Fe}=\frac{1~mol~of Cu}{X~mol~of~ Cu}

x = 0.0179mol

M_{cu}=63.55g/mol

m=n*m

m=0.0179mol*63.55g/mol

m=1.14g

Mass~of~Copper=1.14g

Theoretical~mass=1.14g

Actual~mass=1.08g

yield=\frac{Actual~mass}{Theoretical~mass}{*} 100}
 
Last edited:
  • #37
Given
m=0.2kg
m_{t}=0.750kg
{h}=0.86m
{v}=0.97m/s
~Powered~ Phase~ \Delta d=4.53m
~Coasting~ Phase~ \Delta d=2.02m


Required

{E}_{k},Power,{F}_{f} ~On ~Coasting ~Phase ~and~{F}_{f} ~On ~Powered ~Phase

Solution

Initial Energy= Gravitational Potential Energy
{E}_{g}={m}g\Delta h
={0.2kg}*9.8N/kg*0.86m
{E}_{g}=1.68J

Maximum Kinetic Energy
{E}_{k}=(1/2)m{v}^2
=(1/2)0.200Kg(0.97m/s)^2
{E}_{k}=0.1J

Calculating ~{F}_{f} ~On ~Powered ~Phase

\vec a=v/ \Delta t
\vec a=\frac{0.97m/s}{4.63s}}
\vec a=0.21m/s^2

\vec F_{app}=mg
\vec F_{app}=0.200Kg*9.8N/Kg
\vec F_{app}=1.96N

\vec F_{Net}=m \vec a
=0.750Kg*0.21m/s^2
\vec F_{Net}=0.16N

\vec F_{Net}=\vec F_{app}+\vec F_{f}
\vec F_{f}=0.16N-1.96N
\vec F_{Net}=-1.80N
\vec F_{Net}=1.80N


Calculating ~{F}_{f} ~On ~Coasting ~Phase

{E}_{T}={m}g\Delta h
={0.2kg}*9.8N/kg*0m
{E}_{T}=0J

{E}_{T}={E}_{k}+{W}_{f}
0J=0.35J+\vec F_{f}\Delta d
0J=0.35J+\vec F_{f}*2.02m
\vec F_{f}=-0.35J/2.02m
\vec F_{f}=-0.17N
 
Last edited:
  • #38
Average~Maximum ~of~Speed~ Car=\frac{1.21m/s+0.90m/s+0.81m/s}{3}
Average~Maximum~of ~Speed~ Car=0.97m/s

Average~Time~ During~ Powered ~Phase =\frac{4.94m+4.35m+4.59m}{3}
Average~Time~ During~ Powered ~Phase =4.63m

Average~Time~ During~ Coasting ~Phase =\frac{1m+3.45m+1.60m}{3}
Average~Time~ During~ Coasting ~Phase =2.02m

Average~Total~Distance=\frac{7m+7.35m+5.30m}{3}
Average~Total~Distance=6.55m
 
Last edited:
  • #39
\Delta d_{T}

\Delta d_{P}

\Delta d_{C}

\Delta t

{v}

{h}

\Delta d_{C}=\Delta d_{T}-\Delta d_{P}

{v}=\Delta d_{P}/\Delta t

{v}~and~\Delta d_{C}

m_{t}
 
Last edited:

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