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If two bodies of different masses have the same K.E. then the relation between momentum and mass will be:
- a)
- b)
- c)
- d)
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
If two bodies of different masses have the same K.E. then the relation...
KE = K = 1 /2( mv2)
We know, p = mv
⇒ K = p2 / 2m
p2 = 2Km
As, KE is Same, ie . Constant, momentum would be directly proportional to the square root of mass.
We know, p = mv
⇒ K = p2 / 2m
p2 = 2Km
As, KE is Same, ie . Constant, momentum would be directly proportional to the square root of mass.
Most Upvoted Answer
If two bodies of different masses have the same K.E. then the relation...
Hey mate I don't know for sure but I can give you an idea .
Let,
mass and velocity of first body be m and v respectively.
mass and velocity of second body be n and w respectively.
We know that,
k.E=mv^2÷2
and P ( momentum) =mv
Now,
K.E =mv^2÷2 =mv^2×m ÷ 2 ×m = (mv)^2÷ 2 = P^2÷2×m.
Momentum of first body = m×v= mv = P'
Momentum of the second body= n× w = p
K.E of first body= P'^2÷ 2m ( as the mass here is m)
K.E of the second body = p^2÷2n ( as the mass here is n)
As the K.E of both body is same
P'^2÷2m= p^2÷2n
Or , P'^2÷p^2=2m ÷2n
Or, (P'÷p)^2=m÷n
Or,P'÷p=√m÷√n
Hence P' is directly proportional to √m and p is directly proportional to√n
We can say that momentum is directly proportional to √mass.
Try to solve it in notebook you will surely get it . as here most of mathematical sings are missing.
Let,
mass and velocity of first body be m and v respectively.
mass and velocity of second body be n and w respectively.
We know that,
k.E=mv^2÷2
and P ( momentum) =mv
Now,
K.E =mv^2÷2 =mv^2×m ÷ 2 ×m = (mv)^2÷ 2 = P^2÷2×m.
Momentum of first body = m×v= mv = P'
Momentum of the second body= n× w = p
K.E of first body= P'^2÷ 2m ( as the mass here is m)
K.E of the second body = p^2÷2n ( as the mass here is n)
As the K.E of both body is same
P'^2÷2m= p^2÷2n
Or , P'^2÷p^2=2m ÷2n
Or, (P'÷p)^2=m÷n
Or,P'÷p=√m÷√n
Hence P' is directly proportional to √m and p is directly proportional to√n
We can say that momentum is directly proportional to √mass.
Try to solve it in notebook you will surely get it . as here most of mathematical sings are missing.
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Community Answer
If two bodies of different masses have the same K.E. then the relation...
KE = K = 1 /2( mv2)
We know, p = mv
⇒ K = p2 / 2m
p2 = 2Km
As, KE is Same, ie . Constant, momentum would be directly proportional to the square root of mass.
We know, p = mv
⇒ K = p2 / 2m
p2 = 2Km
As, KE is Same, ie . Constant, momentum would be directly proportional to the square root of mass.
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If two bodies of different masses have the same K.E. then the relation between momentum and mass will be:a)b)c)d)Correct answer is option 'D'. Can you explain this answer? for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about If two bodies of different masses have the same K.E. then the relation between momentum and mass will be:a)b)c)d)Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If two bodies of different masses have the same K.E. then the relation between momentum and mass will be:a)b)c)d)Correct answer is option 'D'. Can you explain this answer?.
If two bodies of different masses have the same K.E. then the relation between momentum and mass will be:a)b)c)d)Correct answer is option 'D'. Can you explain this answer? for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about If two bodies of different masses have the same K.E. then the relation between momentum and mass will be:a)b)c)d)Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If two bodies of different masses have the same K.E. then the relation between momentum and mass will be:a)b)c)d)Correct answer is option 'D'. Can you explain this answer?.
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