E=1/2mv^2 Given E and change in velocity

In summary, the conversation discussed the amount of work needed to accelerate a car and the equation used to calculate it. The solution involved calculating the kinetic energy before and after the velocity change.
  • #1
LoganNagol
4
0

Homework Statement


It takes 185 kJ of work to accelerate a car from 23.0 m/s to 28.0 m/s. What is the car’s mass?

Homework Equations


E=1/2mv^2

The Attempt at a Solution


I get that I must put (2E) over V2 I am just not sure if I was allowed to put the change in velocity so it would look like this. (2E)/(V12 - V02)
If it is correct will someone please tell me why?
 
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  • #2
Why don't you calculate it and then check the kinetic energy of the car befoere and after the velocity change?
 
  • #3
Thanks! I got the answer correct.
 

Related to E=1/2mv^2 Given E and change in velocity

1. What does the equation E=1/2mv^2 represent?

The equation E=1/2mv^2 represents the kinetic energy of an object, where E is the energy, m is the mass of the object, and v is the velocity.

2. Can the equation E=1/2mv^2 be used for any type of motion?

Yes, the equation can be used for any type of motion as long as the mass and velocity are known.

3. How do you calculate the change in velocity using E=1/2mv^2?

To calculate the change in velocity, you can rearrange the equation to v = √(2E/m), where v is the final velocity and E is the energy given. You can then subtract the initial velocity from the final velocity to find the change in velocity.

4. What is the unit of measurement for energy in E=1/2mv^2?

The unit of measurement for energy in E=1/2mv^2 is joules (J).

5. How is the equation E=1/2mv^2 derived?

The equation is derived from the work-energy principle, which states that the work done on an object is equal to the change in its kinetic energy. This is represented by W = ∆E = ∆(1/2mv^2). By rearranging the equation, we get E=1/2mv^2.

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