Two masses m and 9 m are moving with equal kinetic energies The ratio of the magnitudes of their mom...........

General Science (Easy) Physics

Two masses m and 9 m are moving with equal kinetic energies. The ratio of the magnitudes of their momenta is

1 : 1

1 : 3

3 : 1

1 : 9

- Let the two masses be m and 9m.

- Both have equal kinetic energies, so:

(½)mv1² = (½)(9m)v2²

? v1² = 9v2²

? v1 = 3v2

- Their momenta:

p1 = m*v1

p2 = 9m*v2

- Take the ratio,

p1 : p2 = m*3v2 : 9m*v2 = 3 : 9 = 1 : 3

- So, the correct answer is

Option 2: 1 : 3

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