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Two bodies of unequal masses have same l...

Two bodies of unequal masses have same linear momentum. Which one has greater K.E. ?

A

lighter body

B

heavier body

C

both

D

none

Text Solution

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The correct Answer is:
A
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Relation between kinetic energy and momentum Let us consider a body of mass 'm' having a velocity 'v', then momentum of the body P = mass xx velocity P = m xx v rArr v = (P)/(m) " "...(1) From definition, kinetic energy (K.E) of the body K.E = (1)/(2) mv^(2)" "...(2) Now putting the value of (1) in (2) we have K.E = (1)/(2)m ((P)/(m))^(2) K.E. = (1)/(2)m (P^(2))/(m^(2)) = (1)/(2) (P^(2))/(m) = (P^(2))/(2m)" "...(3) Thus we can write P^(2) = 2m xx K.E rArr P = sqrt(2m xx K.E) Thus momentum = sqrt(2 xx "mass" xx "kinetic energy") Two bodies A and B of unequal masses having same momentum have masses in the ratio 1 : 2 then their K.E are in the ratio

Assertion : If two objects of different masses have same momentum, the lighter body possess greater velocity. Reason : For all bodies momentum always remains same.

Oxygen and Helium gases are in same container. Which one has greater K.E. per molecules?

Two bodies of masses m and 2m have same momentum. Their respective kinetic energies E_(1 ) and E_(2) are in the ratio

A light body and a heavy body have same kinetic energy. Which one has greater linear momentum?

The moments of inertia of two rotating bodies A and B are I_(A) and I_(B). (I_(A) gt I_(B)) and their angular momenta are equal. Which one has greater K.E. ?

NARAYNA-WORK POWER AND ENERGY-C.U.Q-Key
  1. Which of the following graphs depicts the variation of KE of a ball bo...

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  2. Which of the following statements is correct?

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  3. Two bodies of unequal masses have same linear momentum. Which one has ...

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  4. Two bodies of masses m(1) and m(2) have equal KE. Their momenta is in...

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  5. A body can have

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  6. A rock of mass m is dropped to the ground from a height h. A second ro...

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  7. These diagrams represent the potential energy U of a diatomic molecule...

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  8. Two springs have their force constants K(1) and K(2) and they are stre...

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  9. Two spring have their force constants K(1) and K(2)(K(2) gt K(1)). Whe...

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  10. A lorry and a car moving with the same KE are brought to rest by apply...

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  11. A shell is fired into ait at an angle theta with the horizontal form t...

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  12. A cricket ball and a ping-pong ball are dropped. When they vacuum cham...

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  13. A cyclist free-wheels from the top of a hill, gathers speed going down...

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  14. If 'E' represents total mechanical energy of a system while 'U' repres...

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  15. For a body thrown vertically upwards, its direction of motion changes ...

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  16. Internal forces can change

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  17. The negative of the work done by the conserative internal forces on a ...

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  18. Which of the following statements is wrong ?

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  19. When a body falls from an aeroplane there is increase in its :

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  20. A body is moved along a straight line by a machine delivering constant...

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