Work, Force, and Brakes: Solving the Physics Problem

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SUMMARY

The discussion focuses on solving a physics problem involving a 1452 kg car that stops from a speed of 17.2 m/s over a distance of 100 m. Key calculations include determining the work done by the brakes, which is calculated using the work-energy principle, yielding values such as 2.15 x 105 J and 1.42 x 106 J. The average braking force is also derived, with options including 2.50 x 104 N and 1.42 x 104 N. Additionally, the discussion explores the implications of doubling the car's speed on stopping distance and the power developed by the brakes, with answers ranging from 23.4 kW to 230 kW.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with the work-energy principle
  • Basic knowledge of kinematics equations
  • Ability to calculate power in physics
NEXT STEPS
  • Study the work-energy theorem in detail
  • Learn how to calculate acceleration from force and mass
  • Explore the relationship between speed, distance, and braking force
  • Investigate power calculations in mechanical systems
USEFUL FOR

Students studying physics, particularly those focusing on mechanics, as well as educators looking for practical examples of work, force, and braking systems in real-world applications.

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Homework Statement



Use this information to answer the next 4 questions: The brakes of a 1452 kg car bring it to a stop from a speed of 17.2 m/s in a distance of 100 m.



Homework Equations



15. How much work do the brakes do?
2.15 x 105 J
1.42 x 106 J
2.50 x 106 J
7.12 x 105 J


16. What average force do the brakes apply?
2.50 x 104 N
7.12 x 103 N
2.15 x 103 N
1.42 x 104 N


17. How much distance would the car cover as it stops if the speed were doubled? Assume that the average braking force remains constant.
400 m
100 m
200 m
800 m


18. If the car originally stops in 6.2 s (100 m), what power is developed by the brakes?
23.4 kW
2.15 kW
34.7 kW
230 kW



The Attempt at a Solution


I am so lost and I don't even know where to start with these. If you can help me I will be so grateful!
 
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hi laurenbaboran! :wink:

let's start with #15:

what is the definition of work done?

what theorems do you know about work done?​

one of those two answers should give you a quick way of answering #15 :smile:
 
Just use the standard equations of kinematics.
Calculate the acceleration of car first.
Use it to find force.
Use that to find work.
:wink:
(EDIT:crossed posts with tiny-tim and his shiny new avatar :smile:)
 
Okey dokey thanks for the help :) Sorry to spam up the forum thread! I am SO bad at physics!
 
laurenbaboran said:
Sorry to spam up the forum thread!

No, that's what it's there for! :wink:

Show us what you get :smile:
 

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