SOLUTION: The kinetic energy of a moving body is directly proportional to its mass and the square of its speed. If the mass of a bullet is halved, by what factor must its speed be increased
Algebra.Com
Question 535078: The kinetic energy of a moving body is directly proportional to its mass and the square of its speed. If the mass of a bullet is halved, by what factor must its speed be increased to have the same kinetic energy as before?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The kinetic energy of a moving body is directly proportional to its mass and the square of its speed.
e = k*m*s^3
--------------
If the mass of a bullet is halved, by what factor must its speed be increased to have the same kinetic energy as before?
---
Multiply and divide the right side by 1/2:
-----
e = k(1/2)m *(s^2/(1/2)
----
e = k(m*s^2/(1/2))
----
e = k(m*2s^2
---
e = k(m*(sqrt(2)s)^2
======
Ans: Multiply speed by sqrt(2)
===========
Cheers,
Stan H.
===========
RELATED QUESTIONS
the kinetic energy of a moving body is directly proportional to its mass and the square... (answered by ikleyn)
The kinetic energy E of a moving object is jointly proportional
to the object’s mass m (answered by MathLover1)
The kinetic energy K of a moving object varies directly with its mass m and the square of (answered by ikleyn)
The kinetic energy K of a moving object varies jointly with its mass m and the square of... (answered by ikleyn)
The kinetic Energy (K) of a moving object varies jointly with its mass (m) and the square (answered by ankor@dixie-net.com)
The Kinetic energy K or a moving object varies jointly with its mass m and the square of... (answered by solver91311,richard1234)
Please help me express this relation as a formula:
The kinetic energy in joules (e) of (answered by scott8148)
For the following direct variation, give an equation that relates the two variables and... (answered by richard1234)
This is what I have so far - K=kmv^2
4500=k(90)(20)^2=36000/4500=8. I'm not sure if... (answered by Alan3354,richwmiller,solver91311)