Numerical - Ratio of magnitudes for linear momentum with equal kinetic energy

Q.  If two objects of 30 kg and 10 kg move with equal kinetic energy, then what is the ratio of magnitudes for linear momentum?
- Published on 21 Sep 15

a. √3 : 1
b. 1 : √3
c. 1 : 3√3
d. 1 : 3

ANSWER: √3 : 1
 

    Discussion

  • Sravanthi   -Posted on 16 Dec 15
    Given: m1 = 30 kg, m2 = 10 kg

    Solution:

    (Kinetic energy)A = (Kinetic energy)B

    (1/2) (30) v1 2 = (½) (10) v22

    v1 = v2 /√3

    Momentum = m1 v1

    The ratio of magnitudes for linear momentum = (m1v1) / (m2v2)

    Substituting the given values,

    m1 = 30 kg and m2 = 10 kg

    = [30 x (v2 /√3)] / [10 x v2]

    = √3 : 1

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