Calculating Maximum Acceleration and Speed for a 200kg Load with a 5kW Winch

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Homework Help Overview

The discussion revolves around calculating the maximum acceleration and speed for a 200 kg load being raised by a 5 kW winch. Participants are exploring the relationship between power, force, and velocity in the context of this physics problem.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the application of the power formula and the calculation of forces involved. There is questioning about the value of gravitational acceleration used in the calculations, with some participants suggesting different values for g.

Discussion Status

The conversation includes attempts to clarify the calculations for acceleration and speed, with some participants expressing uncertainty about the correctness of their answers. There is no explicit consensus on the accuracy of the results, but guidance is offered regarding the assumptions made in the calculations.

Contextual Notes

Participants are working under the assumption that gravitational acceleration is 10 m/s², and there is mention of potential typos in the problem statements or calculations that may affect the outcomes.

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Homework Statement



A winch is used to raise a 200 kg load. The maximum power of the winch is 5 kW. Calculate the greatest possible acceleration of the load when its speed is 2 ms^1, and the greatest speed at which the load can be raised.

Homework Equations





The Attempt at a Solution



Alright so this is how I went about things: power=force x velocity, so upward force = 5000/2 = 2500. So net upward force = 500 N, so greatest possible acceleration = 500/200 = 2.5 ms^2.
I know this is incorrect, where did I go wrong?
 
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Were you expected to use g = 10m/s2, or a more accurate value such as g = 9.81 m/s2 ?
 
just g=10 ms^2
 
furor celtica said:
just g=10 ms^2

Then I don't see anything wrong with your value for the acceleration when velocity is 2 m/s.
 
on another site i got the same answer.
i guess its a typo, thanks for your time
 
alrighty now I've got an issue with ths second problem, finding the greatest speed at which the load can be raised
so greatest speed means the upwards force is equal to the downwards force, so the upwards force will be 2000N
power being 5000, speed is 2.5 ms^1
however the answer is 2.55, another typo or did i truly get it wrong this time?
 

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