A formula of a car using conservation of energy

In summary, to find the speed of a car in terms of the energy it has at the start, you can use the formula V = √(2A/M) where A is the kinetic energy and M is the mass. Alternatively, you can use V = √ (2mgΔh/M), where Δh is the difference in height between the starting point and the current point.
  • #1
dylanbakos
8
0

Homework Statement


use conservation of energy to derive a formula for the speed of a car in terms of energy it has at the start. you have to use energy and height as the two variables


Homework Equations





The Attempt at a Solution


i think it is kenetic energy x mgh
 
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  • #2
dylanbakos said:

Homework Statement


use conservation of energy to derive a formula for the speed of a car in terms of energy it has at the start. you have to use energy and height as the two variables


Homework Equations





The Attempt at a Solution


i think it is kenetic energy x mgh

Does this problem perhaps relate to a roller coaster car?
 
  • #3
yes we did this roller coaster car problem in my physics class and i need to fill out an experiment sheet and this is one of the questions but i don't understand how to answer it
 
  • #4
dylanbakos said:
yes we did this roller coaster car problem in my physics class and i need to fill out an experiment sheet and this is one of the questions but i don't understand how to answer it

If you are allowed to ignore friction, then the sum of the potentail energy [mgh] and kinetic energy [0.5mv2] will be constant throughout.

That means you will be able to find the kinetic energy at any time, by considering the height at that time. From that you can "undo" the kinetic energy formula to find the speed.
 
  • #5
im sorry but i still don't understand what would you do to find the formula
 
  • #6
dylanbakos said:
im sorry but i still don't understand what would you do to find the formula

How was the initial energy of the car expressed?
 
  • #7
was it by gravity because it was at standstill then moved on a hill downwards
 
  • #8
dylanbakos said:
was it by gravity because it was at standstill then moved on a hill downwards

Actually I was asking a question rather than leading, but you have answered it any way.

In the beginning, the car was at height H - how ever high the hill was. it will have had mgH of potential energy.

when it is at any another height h, it will have descended an amount (H-h) and thus "lost mg(H-h) of potential energy.
That will have been converted to kinetic energy, and from that kinetic energy you should be able to find the speed.

As a test of your algebra .. if the Kinetic energy of the car was an amount, A, what will the speed of the car be. [I used A as I needed a pronumeral for the amount, and didn't want to use E unless you confused it with a specific energy]
 
  • #9
so i will use kinetic energy formula= height and then solve for speed

so it would be .5x.05796xV^2=.09
 
  • #10
dylanbakos said:
so i will use kinetic energy formula= height and then solve for speed

so it would be .5x.05796xV^2=.09

No, kinetic energy = loss of potential energy, which involves height, and mass and g [9.8].

Where did you get those values .05796 and .09 from?
 
  • #11
sorry those were from the data .09 was height and .057 was mass

so how would you put the formula together. with what symbols would you use. would you use GxMxH-h from what you said. i don't know how to put it together. if you could explain what i would use then it would mean a lot even though you already helped me alot
 
  • #12
dylanbakos said:
sorry those were from the data .09 was height and .057 was mass

so how would you put the formula together. with what symbols would you use. would you use GxMxH-h from what you said. i don't know how to put it together. if you could explain what i would use then it would mean a lot even though you already helped me alot

Repeating an earlier request.

If the kinetic energy has value "A" what is the speed of the mass?
 
  • #13
dylanbakos said:
sorry those were from the data .09 was height and .057 was mass

so how would you put the formula together. with what symbols would you use. would you use GxMxH-h from what you said. i don't know how to put it together. if you could explain what i would use then it would mean a lot even though you already helped me alot

Also that height of .09.

What measurement was .09? The height of the start point? The height of the mass at a time? The height "below" the starting point?
 
  • #14
A=.5xMxV^2

i don't know if this is right. is this how i would put the formula together.

or would it be A=MGH but how would you find velocity

im sorry but I am confused
the height at the start point
 
  • #15
peter please if you could just give me the formula. i need to answer this question by tommorow and if i don't i will fail. i will ask my teacher to explain it but i can't ask him now. please will you give me the formula
 
  • #16
dylanbakos said:
A=.5xMxV^2

i don't know if this is right. is this how i would put the formula together.

or would it be A=MGH but how would you find velocity

im sorry but I am confused
the height at the start point

I am in Australia - not sure what time it is where you are.

A=.5xMxV^2

is correct, and this leads to V = √(2A/M).

You can use "change in Potential energy" to find how much energy you have.

IF that was mgΔh, your speed would be given by V = √ (2mgΔh/M)

However, you are not using m for mass, and Δh will be worked out from the h you are at and the height you began at.
 

FAQ: A formula of a car using conservation of energy

How does conservation of energy relate to a car's formula?

The formula of a car using conservation of energy is based on the principle that energy cannot be created or destroyed, only transformed from one form to another. In a car, the chemical energy from fuel is converted into kinetic energy to move the car forward. The formula takes into account the conservation of energy to calculate the amount of energy needed for the car to operate.

What factors are included in the formula of a car using conservation of energy?

The formula takes into account the mass of the car, the velocity of the car, and the energy required to overcome friction and air resistance. It also considers the efficiency of the car's engine and the type of fuel used.

How is the conservation of energy principle applied in a car's formula?

The conservation of energy principle is applied by ensuring that the total energy input into the car (through fuel and other sources) is equal to the total energy output (in the form of kinetic energy, heat, and other forms). This principle is used to determine the most efficient way to use the car's energy to maximize its performance.

Can the formula of a car using conservation of energy be used for all types of cars?

Yes, the formula can be applied to all types of cars, regardless of their size, shape, or type of fuel used. However, the specific variables and factors included in the formula may differ depending on the type of car and its specific characteristics.

How can the formula of a car using conservation of energy be used to improve car design?

By using the formula, car designers and engineers can optimize the car's energy usage and efficiency. By considering factors such as mass, velocity, and energy loss due to friction and air resistance, they can design more fuel-efficient and high-performance cars. This can lead to improvements in both the environmental and economic impacts of cars on society.

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