Question

two objects a and b of same masses and velocity v and 3v respectively are in motion . which object has large momentum? why?

Answer 1

let the mass of object a and b be m

velocity of object a = v
momentum of object a = mass × velocity
=> m × v => mv

velocity of object b = 3v
momentum of object b = mass × velocity
=> m×3v => 3vm


since , 3mv > mv

momentum of object b > momentum of object a

=> this happens because momentum is directly proportional to mass and velocity , this means that if mass of an object is increased the momentum will increase and if the mass remains the same , the velocity is increased , then too momentum of an object is increased

=> here , both objects had equal masses but object a had velocity v and object b had velocity 3v ,
we can tell that object b will have larger momentum



hope this helps

Answer 2

Momentum = mass × velocity
Both have same masses
Therefore,
Momentum ∝ Velocity

From above relation we can say that the one moving faster has larger momentum.
∴ b has larger momentum.