Question

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

Answer 1

Given :-

Ratio of the masses of the two bodies = 5 : 6

Ratio of the velocities of the two bodies = 1 : 2

To Find :-

The ratio of linear momentum of the two bodies.

Analysis :-

Here we are given with the mass and the velocity of the two bodies in the form of ratios.

Firstly, convert the two ratios to fractions.

in order to find their linear momentum substitute the values accordingly such that momentum is equal to mass multiplied by the velocity of the two bodies.

Solution :-

• p = Momentum
• m = Mass
• v = Velocity

Given that,

Ratio of masses = 5 : 6

Ratio of velocities = 1 : 2

Converting to fractions,

m₁/m₂ = 5/6

v₁/v₂ = 1/2

Using the formula,

$\underline{\boxed{\sf Momentum=Mass \times Velocity}}$

Given that,

Mass (m) = 5/6

Velocity (v) = 1/2

Substituting their values,

⇒ p = mv

⇒ p = (5/6) × (1/2)

⇒ (5 × 1) / (6 × 2)

⇒ 5/12 = 5 : 12

Therefore, the ratio of linear momentum of the two bodies is (d) 5 : 12.

Info -

Linear momentum:

Linear momentum is defined as the vector quantity. A body’s momentum is always in the same direction as its velocity vector.

The SI unit of linear momentum is kg m/s.

Formula:

Momentum = Mass × Velocity

Where,

➡ M = Mass

➡ P = Momentum

➡ V = Velocity

Answer 2

SOLUTION

GIVEN

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

TO DETERMINE

The ratio of linear momentum

FORMULA TO BE IMPLEMENTED

Linear Momentum = Mass × Velocity

EVALUATION

Here it is given that the masses of two bodies are in ratio 5 : 6

Let mass of first body = 5m and mass of second body = 6m

Also the velocities are in ratio 1 : 2

Let velocity of first body = v and velocity of second body = 2v

Linear momentum of first body

= 5m × v

= 5mv

Linear momentum of second body

= 6m × 2v

= 12mv

Hence the required ratio

= 5mv : 12mv

= 5 : 12

━━━━━━━━━━━━━━━━

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