How Do You Calculate Car Mass from Kinetic Energy Change?

In summary, the problem involves a car accelerating from 18 m/s to 35 m/s with a change in kinetic energy of 154 kJ. To determine the mass of the car, we can use the equation KE = 0.5mv^2 and equate it to the change in kinetic energy formula, mv2^2 - mv1^2. After rearranging and simplifying, we get Change in Kinetic Energy = 0.5mv2^2 - 0.5mv1^2, which allows us to solve for the mass of the car.
  • #1
Marts12
14
0

Homework Statement



A) A car moving at 18 m/s is accelerated to 35 m/s. If the change in kinetic energy is 154 kJ, determine the mass of the car.

Homework Equations



KE = 0.5mv^2
Kinetic energy = change in momentum = mv2-mv1


The Attempt at a Solution



Im not sure how to go about this problem, but I suspect that the mass can be obtained from the fact that kinetic energy is equal to the change in momentum?
 
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  • #2
Marts12 said:
KE = 0.5mv^2
Kinetic energy = change in momentum = mv2-mv1
Aren't these two equations contradictory? Which one is correct?
 
  • #3
KE=0.5mv^2 is the correct equation for kinetic energy, but we are given that.

Am I right in saying that I need an equation that relates the change in Kinetic energy to mass?
 
  • #4
Marts12 said:
KE=0.5mv^2 is the correct equation for kinetic energy, but we are given that.

Am I right in saying that I need an equation that relates the change in Kinetic energy to mass?
Yes, and you already have all the ingredients to construct that equation yourself.
 
  • #5
Ok,

If I were to say that Change in Kinetic Energy = mv2^2 - mv1^2

Where v2 = final velocity and
V1 = initial velocity

Would I be on the right lines?
 
  • #6
Marts12 said:
Ok,

If I were to say that Change in Kinetic Energy = mv2^2 - mv1^2

Where v2 = final velocity and
V1 = initial velocity

Would I be on the right lines?
Nearly, but you lost the 1/2.
 
  • #7
Perfect so,

Change in Kinetic Energy = 0.5mv2^2 - 0.5mv1^2

Thank you for your help DrClaude
 

FAQ: How Do You Calculate Car Mass from Kinetic Energy Change?

What is kinetic energy?

Kinetic energy is the energy a moving object possesses due to its motion. It is a scalar quantity that depends on the mass and velocity of an object.

How is kinetic energy calculated?

Kinetic energy is calculated using the formula KE = 1/2mv², where m is the mass of the object and v is its velocity.

What is the relationship between kinetic energy and mass?

The kinetic energy of an object is directly proportional to its mass. This means that as the mass of an object increases, its kinetic energy also increases.

How does mass affect kinetic energy?

Mass has a significant effect on kinetic energy because it is one of the two factors that determine the amount of kinetic energy an object has. The other factor is velocity.

Can kinetic energy be converted into mass?

According to the theory of relativity, mass and energy are equivalent and can be converted into each other. However, the conversion of kinetic energy into mass requires extremely high velocities and is not practically feasible in most scenarios.

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