How Fast Will the Car Hit the Garage Door at the Bottom of the Incline?

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Homework Help Overview

The problem involves a 2000 kg car rolling down a 20-degree incline of a 20-meter long driveway, with the goal of determining the speed at which it will hit the garage door at the bottom. The scenario assumes neglect of all retarding forces.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants suggest using energy concepts due to the relationship between speed and change in height. Others propose breaking down gravitational forces into components to find acceleration and then calculate final velocity based on distance.

Discussion Status

The discussion is ongoing, with participants exploring different approaches to the problem. Some guidance has been offered regarding the use of energy and forces, but there is no explicit consensus on a single method yet.

Contextual Notes

Participants are reminded to provide their attempts at a solution before receiving further assistance, indicating a focus on individual effort in the learning process.

Renee8
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1. A 2000 kg car in neutral at the top of a 20 degree inclined 20 meter long driveway slips its parking break and rolls downward. at what speed will it hit the garage door at the bottom of the incline? Neglect all retarding forces



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The Attempt at a Solution

 
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Work shown?

I would use energy by the way, since you're dealing with speed/velocity and a change in height.
 


Use trig to break the car's force of gravity down into components. Find acceleration using F=ma and use the given distance to find final velocity.
 


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