Class 9 Exam > Class 9 Questions > A body P has mass 2 m and velocity 5 v. Anoth...
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A body P has mass 2 m and velocity 5 v. Another body Q has mass 8 m and velocity 1.25 v. The ratio
of momentum of P and Q is :
of momentum of P and Q is :
- a)2 : 1
- b)1 : 1
- c)1 : 2
- d)3 : 2
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A body P has mass 2 m and velocity 5 v. Another body Q has mass 8 m an...
Momentum = mass x velocity
Therefore in first case momentum = 2m x 5v = 10mv
Therefore in second case momentum = 8m x 1.25v = 10mv
Thus in both the cases momentum is the same, so, Ratio is 1:1
Most Upvoted Answer
A body P has mass 2 m and velocity 5 v. Another body Q has mass 8 m an...
Momentum (P) = m × v
body P = 2m×5v = 10mv
body Q = 8m×1.25v = 10mv
Ratio of momentum of P AND Q=
P body's momentum= 10
Q body's momentum= 10
ratio of both the bodies= 10/10= 1/1
ratio= 1:1--- Ans
body P = 2m×5v = 10mv
body Q = 8m×1.25v = 10mv
Ratio of momentum of P AND Q=
P body's momentum= 10
Q body's momentum= 10
ratio of both the bodies= 10/10= 1/1
ratio= 1:1--- Ans
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A body P has mass 2 m and velocity 5 v. Another body Q has mass 8 m an...
The momentum of an object is defined as the product of its mass and velocity. Mathematically, momentum (p) is given by the equation p = mv, where m is the mass of the object and v is its velocity.
In this problem, we are given two bodies, P and Q, with different masses and velocities. Let's calculate the momentum of each body:
Body P:
Mass of P = 2m
Velocity of P = 5v
Momentum of P = (2m)(5v) = 10mv
Body Q:
Mass of Q = 8m
Velocity of Q = 1.25v
Momentum of Q = (8m)(1.25v) = 10mv
From the above calculations, we can see that the momentum of both bodies, P and Q, is equal to 10mv.
Now, let's find the ratio of momentum of P and Q:
Ratio = Momentum of P / Momentum of Q
Ratio = (10mv) / (10mv)
Ratio = 1
Therefore, the ratio of the momentum of body P to body Q is 1:1, which means they have the same momentum.
Hence, the correct answer is option B) 1:1.
In this problem, we are given two bodies, P and Q, with different masses and velocities. Let's calculate the momentum of each body:
Body P:
Mass of P = 2m
Velocity of P = 5v
Momentum of P = (2m)(5v) = 10mv
Body Q:
Mass of Q = 8m
Velocity of Q = 1.25v
Momentum of Q = (8m)(1.25v) = 10mv
From the above calculations, we can see that the momentum of both bodies, P and Q, is equal to 10mv.
Now, let's find the ratio of momentum of P and Q:
Ratio = Momentum of P / Momentum of Q
Ratio = (10mv) / (10mv)
Ratio = 1
Therefore, the ratio of the momentum of body P to body Q is 1:1, which means they have the same momentum.
Hence, the correct answer is option B) 1:1.
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A body P has mass 2 m and velocity 5 v. Another body Q has mass 8 m and velocity 1.25 v. The ratioof momentum of P and Q is :a)2 : 1b)1 : 1c)1 : 2d)3 : 2Correct answer is option 'B'. Can you explain this answer?
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