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A particle of mass m is attached to one end of a mass-less spring of force constant k, lying on a frictionless
horizontal plane. The other end of the spring is fixed. The particle starts moving horizontally from its
equilibrium position at time t = 0 with an initial velocity u0. When the speed of the particle is 0.5 u0. It
collides elastically with a rigid wall. After this collision,
  • a)
    the speed of the particle when it returns to its equilibrium position is u0.
  • b)
    the time at which the particle passes through the equilibrium position for the first time is 
  • c)
    the time at which the maximum compression of the spring occurs is 
  • d)
    the time at which the particle passes through the equilibrium position for the second time is  
Correct answer is option 'A,D'. Can you explain this answer?
Verified Answer
A particle of mass m is attached to one end of a mass-less spring of f...
v = u0 sinωt (suppose t1 is the time of collision) 
Now the particle returns to equilibrium position at time  with the same mechanical energy  i.e. its speed will u0.
Let t3 is the time at which the particle passes through the equilibrium position for the second time.
Energy of particle and spring remains conserved.
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A particle of mass m is attached to one end of a mass-less spring of force constant k, lying on a frictionlesshorizontal plane. The other end of the spring is fixed. The particle starts moving horizontally from itsequilibrium position at time t = 0 with an initial velocity u0. When the speed of the particle is 0.5 u0. Itcollides elastically with a rigid wall. After this collision,a)the speed of the particle when it returns to its equilibrium position is u0.b)the time at which the particle passes through the equilibrium position for the first time isc)the time at which the maximum compression of the spring occurs isd)the time at which the particle passes through the equilibrium position for the second time is Correct answer is option 'A,D'. Can you explain this answer?
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A particle of mass m is attached to one end of a mass-less spring of force constant k, lying on a frictionlesshorizontal plane. The other end of the spring is fixed. The particle starts moving horizontally from itsequilibrium position at time t = 0 with an initial velocity u0. When the speed of the particle is 0.5 u0. Itcollides elastically with a rigid wall. After this collision,a)the speed of the particle when it returns to its equilibrium position is u0.b)the time at which the particle passes through the equilibrium position for the first time isc)the time at which the maximum compression of the spring occurs isd)the time at which the particle passes through the equilibrium position for the second time is Correct answer is option 'A,D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A particle of mass m is attached to one end of a mass-less spring of force constant k, lying on a frictionlesshorizontal plane. The other end of the spring is fixed. The particle starts moving horizontally from itsequilibrium position at time t = 0 with an initial velocity u0. When the speed of the particle is 0.5 u0. Itcollides elastically with a rigid wall. After this collision,a)the speed of the particle when it returns to its equilibrium position is u0.b)the time at which the particle passes through the equilibrium position for the first time isc)the time at which the maximum compression of the spring occurs isd)the time at which the particle passes through the equilibrium position for the second time is Correct answer is option 'A,D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle of mass m is attached to one end of a mass-less spring of force constant k, lying on a frictionlesshorizontal plane. The other end of the spring is fixed. The particle starts moving horizontally from itsequilibrium position at time t = 0 with an initial velocity u0. When the speed of the particle is 0.5 u0. Itcollides elastically with a rigid wall. After this collision,a)the speed of the particle when it returns to its equilibrium position is u0.b)the time at which the particle passes through the equilibrium position for the first time isc)the time at which the maximum compression of the spring occurs isd)the time at which the particle passes through the equilibrium position for the second time is Correct answer is option 'A,D'. Can you explain this answer?.
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