The kinetic energy of a baseball is doubled by changing the speed of the baseball. By what factor has its speed changed? √ 2 v i n i t i a l 2 vinitial 2 v i n i t i a l 2vinitial 4 v i n i t i a l 4vinitial 1 2 v i n i t i a l 12vinitial 1 4 v i n i t i a l

1/√2

Explanation:

Kinetic energy of a body is expressed as

KE = 1/2mv²

If it's KE is doubled

2KE = 1/2mv1² where v1 is the new speed when the kinetic energy is doubled

To know the value of the amount the velocity has changed, we will divide both equations

2KE/KE = (1/2mv²)/(1/2mv1²)

2 = v²/v1²

(v/v1)² = 2

v/v1 = √2

v1 = v/√2

v1 = 1/√2 × v

The new velocity has changed by

1/√2vinitial

graph slopes whilst gas cools, then it is flat whilst conensation to liquid happens, the coolong liquid then graphs as a slope when it solidifies graph is flat

latent heat

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