Work, Force, and Brakes: Solving the Physics Problem

In summary, the brakes of a 1452 kg car exert a force of 7.12 x 103 N to bring the car to a stop from a speed of 17.2 m/s in a distance of 100 m. This results in a total work done of 7.12 x 105 J. If the speed of the car were doubled, it would cover a distance of 400 m while stopping with the same average braking force. If the car originally stops in 6.2 s (100 m), the power developed by the brakes is 23.4 kW.
  • #1
laurenbaboran
10
0

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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  • #2
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:
 
  • #3
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:)
 
  • #4
Okey dokey thanks for the help :) Sorry to spam up the forum thread! I am SO bad at physics!
 
  • #5
laurenbaboran said:
Sorry to spam up the forum thread!

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

Show us what you get :smile:
 

1. What is work in terms of physics?

Work in physics is defined as the product of force applied and the displacement of an object in the direction of the force. It is represented by the equation W = Fd, where W is work, F is force, and d is displacement.

2. How do you calculate force in a physics problem?

Force is calculated by using the equation F = ma, where F is force, m is mass, and a is acceleration. This equation is derived from Newton's second law of motion, which states that the force acting on an object is directly proportional to its mass and acceleration.

3. What is the role of brakes in solving a physics problem?

Brakes play a crucial role in solving physics problems involving force and motion. They act as a force that opposes the motion of an object, and their effectiveness depends on factors such as the friction between the brake and the object, the mass of the object, and the speed at which the object is moving.

4. How can you use physics to calculate the stopping distance of a car?

The stopping distance of a car can be calculated using the equation d = v^2/2a, where d is the stopping distance, v is the initial velocity of the car, and a is the acceleration due to the brakes. Other factors such as the mass of the car and the friction between the tires and the road also play a role in calculating the stopping distance.

5. What is the relationship between work and energy in a physics problem?

Work and energy are closely related in physics. Work is the transfer of energy from one object to another, and the amount of work done is equal to the change in energy. This relationship is described by the work-energy principle, which states that the net work done on an object is equal to the change in its kinetic energy.

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