Question

The moments of two objects are in the ratio 95 and their velocities are in the ratio 3: 5. The ratio of their masses is 1, 27:25 2, 25:27 3, 3:1 4, 1:3​

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

The moments of two objects are in the ratio 9 : 5 and their velocities are in the ratio 3 : 5.

The ratio of their masses is

1. 27 : 25

2. 25 : 27

3. 3 : 1

4. 1 : 3

EVALUATION

Let the moments of two objects are P₁ , P₂ respectively

Also let the velocities of two objects are v₁ , v₂ respectively

Let the masses are of two objects are m₁ , m₂ respectively

By the given condition

P₁ : P₂ = 9 : 5

v₁ : v₂ = 3 : 5

We know that Momentum = Mass × Velocity

$\displaystyle \sf{ \frac{P_1}{P_2} = \frac{9}{5} }$

$\displaystyle \sf{ \implies \frac{m_1v_1}{m_2v_2} = \frac{9}{5} }$

$\displaystyle \sf{ \implies \frac{m_1}{m_2} \times \frac{v_1}{v_2} = \frac{9}{5} }$

$\displaystyle \sf{ \implies \frac{m_1}{m_2} \times \frac{3}{5} = \frac{9}{5} }$

$\displaystyle \sf{ \implies \frac{m_1}{m_2} = \frac{3}{1} }$

$\displaystyle \sf{ \implies m_1 : m_2 = 3 : 1}$

FINAL ANSWER

Hence the correct option is 3. 3 : 1

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ The velocity-time (v-t) graph of a particle moving along a straight line is shown below. Find the average velocity of th...

https://brainly.in/question/42132746

2. find the speed of sound in air at 50 degree C and 70 dgree C (take speed of sound 332m/s)

https://brainly.in/question/40606714

Answer 2

Step-by-step explanation:

SOLUTION

TO CHOOSE THE CORRECT OPTION

The moments of two objects are in the ratio 9 : 5 and their velocities are in the ratio 3 : 5.

The ratio of their masses is

1. 27 : 25

2. 25 : 27

3. 3 : 1

4. 1 : 3

EVALUATION

Let the moments of two objects are P₁ , P₂ respectively

Also let the velocities of two objects are v₁ , v₂ respectively

Let the masses are of two objects are m₁ , m₂ respectively

By the given condition

P₁ : P₂ = 9 : 5

v₁ : v₂ = 3 : 5

We know that Momentum = Mass × Velocity

$\displaystyle \sf{ \frac{P_1}{P_2} = \frac{9}{5} }$

$\displaystyle \sf{ \implies \frac{m_1v_1}{m_2v_2} = \frac{9}{5} }$

$\displaystyle \sf{ \implies \frac{m_1}{m_2} \times \frac{v_1}{v_2} = \frac{9}{5} }$

$\displaystyle \sf{ \implies \frac{m_1}{m_2} \times \frac{3}{5} = \frac{9}{5} }$

$\displaystyle \sf{ \implies \frac{m_1}{m_2} = \frac{3}{1} }$

$\displaystyle \sf{ \implies m_1 : m_2 = 3 : 1}$

FINAL ANSWER

Hence the correct option is 3. 3 : 1