Question

The masses of two bodies are in ratio 5:6 and their velocities
are in ratio 1:2. Then their linear momentum will be in the ratio​

Answer 1

Answer:

momentum=5:12

Explanation:

mass=5:6

velocity=1:2

since, p=m*v

therefore,

p1=m1*v1

p1=5*1

p1=5kg m/s

now,

p2=m2*v2

p2=6*2

p2=12kg m/s

So the ratios of the,

linear momentum=p1:p2

=5:12 (answer)

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Answer 2

Given:

The masses of two bodies are in ratio 5:6 and their velocities are in ratio 1:2.

To find:

Ratio of linear momentum ?

Calculation:

• Let the masses be 5x and 6x.
• Let the velocities be 1y and 2y.

Linear momentum ratio will be :

$\dfrac{P_{1}}{P_{2}} = \dfrac{5x \times 1y}{6x \times 2y}$

$\implies \dfrac{P_{1}}{P_{2}} = \dfrac{5xy}{12x y}$

$\implies \dfrac{P_{1}}{P_{2}} = \dfrac{5}{12}$

$\implies P_{1} : P_{2} =5 : 12$

So, the ratio is 5 : 12.