Work done on crate by the truck

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Homework Help Overview

The discussion revolves around calculating the work done on a crate by a truck that accelerates from rest to a specified speed over a given time. The subject area includes concepts of work, energy, and motion, particularly focusing on the implications of non-constant acceleration.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the calculation of work using the kinetic energy formula, with some questioning the accuracy of unit conversions and the implications of the results. There is also a discussion about the appropriateness of using the work-energy principle in this context.

Discussion Status

The discussion is active, with participants providing feedback on calculations and questioning the assumptions made in the problem setup. Some guidance has been offered regarding the correctness of the work-energy approach, but there is no explicit consensus on the final answer.

Contextual Notes

Participants note potential errors in unit conversion from kilometers per hour to meters per second, which may affect the calculations. The non-constant acceleration of the truck is also mentioned as a relevant factor in the discussion.

waldvocm
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A truck carrying a 65.4kg crate accelerates from rest to 61.3km/hr on a flat horizontal surface in 15.2s The acceleration was not constant. HOw much work was done on the crate by the truck?

W=Kf-Ki

W=(1/2*65.4kg*220680000^2)-0

W=1.59e18

Is this correct?
 
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Wow that's a very very fast truck. It's traveling at 0.7c!
Check your conversion of km/h to m/s again (I do have somewhat of an idea how you got that value). In any case, checking the order of magnitude of your answer often yields insights into possible careless errors in the working process.
 
opps! W=9481J Final answer!

Was I correct in choosing W=Kf-Ki for my equation in this problem?
 
waldvocm said:
Was I correct in choosing W=Kf-Ki for my equation in this problem?
Yes. Work done by an external force on a system increases the energy of the system.
 

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