Bus Speed Needed to Coast to Top of 0.88m Hill - Homework Solution

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Homework Help Overview

The problem involves a bus that runs out of fuel while approaching a hill with a height of 0.88 meters. The objective is to determine the necessary speed for the bus to coast to the top of the hill, utilizing concepts from physics, particularly energy conservation.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the application of conservation of energy as a potential approach. One participant questions the necessity of knowing the mass of the bus to apply this principle. Another participant presents a mathematical formulation related to energy conservation.

Discussion Status

The discussion has seen various attempts to clarify the problem, with some participants providing hints and others exploring the implications of mass in the context of energy conservation. A mathematical expression has been shared, indicating progress in reasoning, though no consensus has been reached.

Contextual Notes

There is a lack of explicit information regarding the mass of the bus, which is a point of contention in the discussion. The original poster expresses frustration with the problem, indicating a challenging homework context.

Kajayacht
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Homework Statement


A bus runs out of fuel as it approaches a hill. If the hill is 0.88 m high, how fast must the bus be traveling in order to coast just to the top of the hill?


Homework Equations


?


The Attempt at a Solution


I'm so stuck and it's drving me crazy can someone please give me a hint or something
 
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Use conservation of energy. Does that help?
 
Wouldn't I need to know the mass to use conservation of energy though?
 
nevermind got it
k1+u1+Wnc = k2 + u2
.5mv^2 + 0 + 0 = 0 + mgy
v^2= mgy/.5m
v^2= gy/.5
v= 4.15 m/s
 

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