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A point mass having mass M is moving with a velocity V at an angle θ to the wall as shown in the figure. The mass undergoes a perfectly elastic collision with the smooth wall and rebounds. The total change (final minus initial) in the momentum of the mass is
  • a)
    -2MVcosϕ j^
  • b)
    2MV sin ϕ j^
  • c)
    2MV cos ϕ j^
  • d)
    -2MV sin ϕ j^
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A point mass having mass M is moving with a velocity V at an angle θ ...
Let w is the velocity after collision
V sinθ j^
−wsin ϕj^
After collision
E = velocity of separation / velocity of approach = 1
{∴ e = 1,or perfectly elastic collision}
= w sin⁡∅j = Vsin⁡∅j _________(1)
Changes in momentum = final momentum - initial momentum
ΔP = {−wsin⁡∅j − (Vsin⁡∅j)}M
= −2MVsin⁡∅j (∵ wsin⁡∅j = Vsin⁡∅j)
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A point mass having mass M is moving with a velocity V at an angle θ to the wall as shown in the figure. The mass undergoes a perfectly elastic collision with the smooth wall and rebounds. The total change (final minus initial) in the momentum of the mass isa)-2MVcosϕ j^b)2MV sin ϕ j^c)2MV cos ϕ j^d)-2MV sin ϕ j^Correct answer is option 'D'. Can you explain this answer?
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A point mass having mass M is moving with a velocity V at an angle θ to the wall as shown in the figure. The mass undergoes a perfectly elastic collision with the smooth wall and rebounds. The total change (final minus initial) in the momentum of the mass isa)-2MVcosϕ j^b)2MV sin ϕ j^c)2MV cos ϕ j^d)-2MV sin ϕ j^Correct answer is option 'D'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A point mass having mass M is moving with a velocity V at an angle θ to the wall as shown in the figure. The mass undergoes a perfectly elastic collision with the smooth wall and rebounds. The total change (final minus initial) in the momentum of the mass isa)-2MVcosϕ j^b)2MV sin ϕ j^c)2MV cos ϕ j^d)-2MV sin ϕ j^Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A point mass having mass M is moving with a velocity V at an angle θ to the wall as shown in the figure. The mass undergoes a perfectly elastic collision with the smooth wall and rebounds. The total change (final minus initial) in the momentum of the mass isa)-2MVcosϕ j^b)2MV sin ϕ j^c)2MV cos ϕ j^d)-2MV sin ϕ j^Correct answer is option 'D'. Can you explain this answer?.
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