Calculate velocity using work and energy - Mechanics Dynamics

AI Thread Summary
The discussion focuses on calculating the velocity of a wagon with a total mass of 1000 kg after moving 300 m down a 1 in 10 incline, considering a constant resistance of 50 N. Participants suggest starting with the kinetic energy formulas for both the wagon and its wheels to derive the necessary equations. The key equations mentioned include 1/2*m*v^2 for translational kinetic energy and 1/2*Iω^2 for rotational kinetic energy. The challenge lies in integrating these concepts to find the final velocity. The conversation emphasizes the importance of understanding energy conservation in mechanics dynamics.
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Homework Statement



A wagon having a total mass (including its wheels) of 1000 kg, has four wheels each of mass 100 kg and each having a radius of 0.5 m and a radius of gyration of 0.45 m. The wagon starts from rest at the top of an incline of 1 in 10 (sine). If there is a resistance to motion (assumed constant) of 50 N, determine the velocity of the wagon after it has moved a distance of 300 m.


Homework Equations



1/2*m*v^2
1/2*Iω^2

The Attempt at a Solution



No idea how to start, sorry.
 
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hi mm391! :smile:

(try using the X2 button just above the Reply box :wink:)

mm391 said:
A wagon having a total mass (including its wheels) of 1000 kg, has four wheels each of mass 100 kg and each having a radius of 0.5 m and a radius of gyration of 0.45 m. The wagon starts from rest at the top of an incline of 1 in 10 (sine). If there is a resistance to motion (assumed constant) of 50 N, determine the velocity of the wagon after it has moved a distance of 300 m.

No idea how to start, sorry.

start by finding the formula for the kinetic energy of the wagon (and wheels) at speed v …

what is it? :wink:
 
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