Question

Q4 Find the ratio of momentum of two
bodies having 2m and 4 m mass and 3 v
and 5v velocities respectively. (1)​

Answer 1

Answer:

Momentum and centre of mass

Explanation:

★ Given ;

» Mass ( M1 ) = 2 m ; Velocity ( V1 ) = 3v

» Mass ( M2 ) = 4m ; velocity ( V2 ) = 5 v

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★ [ Momentum ( P ) = mass ( m ) × Velocity ( v ) ] ★

P1 / P2 = M1 × V1 / M2 × V2

= 2m × 3v / 4m × 5v

= 6 mv / 20 mv

= 3 / 10

P1 / P2 = 3 : 10

Answer 2

Answer :

The ratio of the momentum of 2 bodies having 2m and 4 m mass and 3 v and 5v velocities respectively is 3 : 10

Step-by-step explanation :

GivEn :

• Mass of the 1st body (m1) = 2m

• Mass of the 2nd body (m2) = 4m

• Velocity of 1st body (V1) = 3V

• Velocity of 2nd body (V2) = 5V

To find :

• Ratio of their momentum = ?

SoluTion :

To solve the question we need to know about the concept of Momentum .

Momentum is the product of mass of a body and its velocity .

Momentum is a vector quantity , which means , it has,

• Magnitude

• Direction

Newton's 2nd law also states that the change of momentum is equal to the force acting on the body .

Momentum is mainly used to predict the resulting direction & speed of motion of body after the collision .

It is given by,

P = M × V

Proceeding towards the question,

• 1st case

➝ P1 = m1 × v1

➝ P1 = 2m × 3V

➝ P1 = 6 mV

• 2nd case

➝ P2 = m2 × v2

➝ P2 = 4m × 5V

➝ P2 = 20mV

Ratio of their momentum :

➝ P1/P2 = 6mV/20mV

➝ P1/P2 = 3/10

Hence, the ratio of the momentum of 2 bodies having 2m and 4 m mass and 3 v and 5v velocities respectively is 3 : 10 .