Kinetic Energy Ratio: Objects Moving at 5m/s & 25m/s

  • Thread starter chris.hart
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In summary: The kinetic energy of the object is equal to the potential energy of the object multiplied by the square of the speed.
  • #1
chris.hart
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it reads, '' two identical objects move with speeds of 5m/s and 25m/s. what is the ratio of their kinetic energy



so i think i need to use the equation ke=1/2 mv^2
this is how far i got ke=12.5*m and ke=312.5*m
 
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  • #2
chris.hart said:
it reads, '' two identical objects move with speeds of 5m/s and 25m/s. what is the ratio of their kinetic energy

so i think i need to use the equation ke=1/2 mv^2
this is how far i got ke=12.5*m and ke=312.5*m
Hello chris.hart. Welcome to PF !

What is the ratio of those two numbers?

How does that ratio compare to the ratio of the two speeds?
 
  • #3
SammyS said:
Hello chris.hart. Welcome to PF !

What is the ratio of those two numbers?

How does that ratio compare to the ratio of the two speeds?


i can't know what the ratio is without finishing the arithmetic? or am i missing something
 
  • #4
Before using any numbers, write out the ratio using symbols and show us what you get.
 
  • #5
ratio of their KE somehow means that you need to compare them. How does the first one compare to the second.
 
  • #6
chris.hart said:
i can't know what the ratio is without finishing the arithmetic? or am i missing something
I get that (312.5m)/(12.5m) = 25.0 .

That's the ratio of the kinetic energy of the faster object to the the kinetic energy of the slower object.
 
  • #7
thanks guys but i figured out my problem.
id use the formula pe=ke which is the equivalent of mgh * .5mv^2
so i can just simply eliminate the mass on the both sides and solve the equation
 
  • #8
chris.hart said:
thanks guys but i figured out my problem.
id use the formula pe=ke which is the equivalent of mgh * .5mv^2
so i can just simply eliminate the mass on the both sides and solve the equation

Hmmm potential energy and gravity have nothing to do with this problem.

A ratio of two quantities is just one divided by the other.
 
Last edited:
  • #9
Since the objects are identical they have the same mass Ek1/Ek2=½mv1^2/½mv2^2=v1^2/v2^2...
 
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  • #10
lep11 said:
Since the objects are identical they have the same mass Ek1/Ek2=½mv1/½mv2=v1/v2...
Those velocities should be squared .
 
  • #11
SammyS said:
Those velocities should be squared .
You're right.
 

What is kinetic energy?

Kinetic energy is the energy an object possesses due to its motion.

How is kinetic energy calculated?

Kinetic energy is calculated by multiplying half of the object's mass by its velocity squared (KE = 1/2 * m * v^2).

What is the importance of the kinetic energy ratio?

The kinetic energy ratio is important because it helps us understand the relative amount of energy an object has at different velocities.

How does the kinetic energy ratio change as velocity increases?

As velocity increases, the kinetic energy ratio increases exponentially. This means that even a small change in velocity can have a significant impact on the kinetic energy of an object.

How does the kinetic energy ratio differ between objects moving at 5m/s and 25m/s?

The kinetic energy ratio is significantly higher for an object moving at 25m/s compared to 5m/s. In fact, the kinetic energy ratio is 5 times greater at 25m/s than at 5m/s.

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