
1)
mass Influences kinetic energy
The relationship between Kinetic energy, mass and speed indicates that
kinetic energy and mass are proportionals.
This proportionality implies that if the mass is doubled, its kinetic
energy is doubled too.
More generally, if two objects
move with the same speed the most massive one has the higher kinetic
energy
______________________________________
______________________________________
2)
Speed influences kinetic energy
Kinetic
energy isn't proportional to speed but to its square.
If an object ( called object number one ) owns a kinetic energy KE1, a
mass m and a speed v1, If
a second object ( called object number two ) owns a kinetic energy KE2,
a mass m and a speed v2 with speed v2 twice greater than speed v1 then:
KE1 = 1
x m x v1^{2}
2
KE2 = 1
x m x v2^{2}
2
KE2 = 1
x m x (2 x v1 )^{2}
2
KE2 = 1
x m x 2^{2} x v1^{2}
2
KE2 = 1
x m x 4 x v1^{2}
2
KE2 =4 x ( 1
x m x v1^{2})
2
KE2 = 4 x
KE1
Kinetic energy of the second objet is four times greater than the first
one.
We could do the demonstration with v2 = 3 x v1: KE2 would be nine times
( 3^{2} ) greater than KE1
We could also do the
demonstration with v2 = 4 x v1: KE2 would be sixteen times ( 4^{2}
) greater than KE1 etc
______________________________________
______________________________________
