discuss the variation of momentum when two bodies have same masses but different or equal momentum show each situation graphically
Answers
Explanation:
Two objects objects of different masses have the same momentum. Which of them is moving faster?
I would like to answer this question using an example.
Let :
mass of object 1 = 10 kg
mass of object 2 = 20 kg
Given that :
momentum of object 1 = momentum of object 2
=100 Newton second [100 kilogram meter /second]
Momentum = mass * velocity
For object 1:
mass = 10 kg
velocity =x m/s
momentum = 10*x =100 Ns
x = 100/10=10 m/s
For object 2:
mass =20 kg
velocity =y m/s
momentum = 20*y= 100 Ns
y = 100/20= 5 m/s
Inference: Out of the two objects of different masses having the same momentum, the object with large mass will move slower than the object with low mass.
Thank you!
How can two objects have different masses but have the same momentum?
How do two objects having different masses acted upon by equal force have same momentum?
Two objects of mass 20kg and 2kg are at rest. Which one needs more force to move and why?
How is it possible for two bodies of different masses to have equal momentum?
If two objects with different masses and same speed moving in opposite direction collide, which object will be pushed further?
As I think you must have got your answer because the answers given others are well-off so I think I need not to answer the question. But you must remember 3 things in momentum :-
When two bodies are moving with same velocity , the momentum of heavier mass will be more.
For two bodies having same mass but moving with different velocity , the body moving with higher velocity will possess higher momentum.
When the momentum of two bodies are same then the lighter body possess higher velocity.
And I think these points will help you very much as it helped me too.
we know, momentum of any particle p=mass*velocity=mv
let,mass of the two objects be m1 and m2 & they are moving with velocities v1 nad v2 respectively.
now, According to the problem, momentum of these objects are same. i.e
p1=p2
=> m1v1=m2v2
Therefore,to hold this relation true product of their mass and velocity have to be always constant.. i.e if m1>m2 then must be v1<v2 and vice versa.
therefore,the object with lesser mass will move faster than the other.
Momentum = Mass *velocity
If momentum is equal then the body with less mass must have greater velocity than the body with more mass .
If two objects of different masses have the same momentum, what is the ratio of their kinetic energy?
If an object has more mass, then its pull on earth would be greater than an object with less mass, and therefore should fall to earth faster. Why do objects of different mass fall to earth at the same speed?
Why do objects of different masses hit the ground at the same time?
If two different objects have the same momentum, do they necessarily have the same kinetic energy?
When two moving objects move in the same direction, why is their relative speed is subtracted?
The one with lesser mass will have higher velocity
As you said momentum of both bodies is same so
=>MV=mv
=>V/v=m/M
For small 'm' velocity must be greater for the ratio to be equal!
P=MV ,obviously if linear momentum of two bodies are same then the body which is lighter will move faster.
Let both Momentum are equal, so
m1v1=m2v2
if m1<m2, then v1>v2.
Simply, less mass object moves faster.
How can two objects have different masses but have the same momentum?
How do two objects having different masses acted upon by equal force have same momentum?
Two objects of mass 20kg and 2kg are at rest. Which one needs more force to move and why?
How is it possible for two bodies of different masses to have equal momentum?
If two objects with different masses and same speed moving in opposite direction collide, which object will be pushed further?
If two objects of different masses have the same momentum, what is the ratio of their kinetic energy?
If an object has more mass, then its pull on earth would be greater than an object with less mass, and therefore should fall to earth faster. Why do objects of different mass fall to earth at the same speed?
Why do objects of different masses hit the ground at the same time?
If two different objects have the same momentum, do they necessarily have the same kinetic energy?
When two moving objects move in the same direction, why is their relative speed is subtracted?
Why do two bodies of equal mass that are moving with the same velocity, but in opposite directions, have different momentum?
Can a rapidly moving object have the same acceleration as a slowly moving object?
What causes two objects to fall at the same speed regardless of their mass?
If two moving objects have the same momentum, should the velocities of the two objects be in the same direction?
How can two objects have the same momentum but different velocities?
Hey, in the given attachment you can find the answer.
