Question

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

Answer 1

Answer:

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