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    Physics
    General
    Easy

    Question

    straight A space ball space of space mass space straight m space moving space with space velocity space v subscript 0 italic space space collides space straight a space wall space as space shown space in space figure. space After space impact space it space rebounds space with space straight a space velocity space 3 over 4 straight nu subscript 0 space T h e italic space i m p u l s e italic space a c t i n g italic space o n italic space b a l l italic space d u r i n g italic space i m p a c t italic space i s

    1. negative m over 2 v subscript 0 j with hat on top
    2. negative 3 over 4 m v subscript 0 i with hat on top
    3. fraction numerator negative 5 over denominator 4 end fraction m v subscript 0 i with hat on top
    4. None space of space the space these

    The correct answer is: fraction numerator negative 5 over denominator 4 end fraction m v subscript 0 i with hat on top

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      straight A space particle space of space mass space straight m space moving space with space velocity space straight u space makes space an space elastic space one minus dimensional space collision space with space straight a space stationary space particle space of space mass space straight m. space They space come space in space contact space for space straight a space very space small space time space t subscript 0 space. space Their space force space of space interaction space increases space from space zero space to space F subscript 0 italic space space space linearly space in space time space 0.5 t subscript 0 space comma space and space decreases space linearly space to space zero space in space further space time space space 0.5 t subscript 0 italic space a s italic space s h o w n italic space i n italic space f i g u r e italic. italic space T h e italic space m a g n i t u d e italic space o f italic space F subscript italic 0 text  is  end text

      straight A space particle space of space mass space straight m space moving space with space velocity space straight u space makes space an space elastic space one minus dimensional space collision space with space straight a space stationary space particle space of space mass space straight m. space They space come space in space contact space for space straight a space very space small space time space t subscript 0 space. space Their space force space of space interaction space increases space from space zero space to space F subscript 0 italic space space space linearly space in space time space 0.5 t subscript 0 space comma space and space decreases space linearly space to space zero space in space further space time space space 0.5 t subscript 0 italic space a s italic space s h o w n italic space i n italic space f i g u r e italic. italic space T h e italic space m a g n i t u d e italic space o f italic space F subscript italic 0 text  is  end text

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      straight A space bullet space of space mass space straight m space hits space straight a space target space of space mass space straight M space hanging space by space straight a space string space and space gets space embedded space in space it. space If space the space block space rises space to space straight a space height space straight h space as space straight a space result space of space this space collision comma space the space velocity space of space the space bullet space before space collision space is

      straight A space bullet space of space mass space straight m space hits space straight a space target space of space mass space straight M space hanging space by space straight a space string space and space gets space embedded space in space it. space If space the space block space rises space to space straight a space height space straight h space as space straight a space result space of space this space collision comma space the space velocity space of space the space bullet space before space collision space is

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      Two space identical space blocks space straight A space and space straight B space of space mass space straight m space joined space together space with space straight a space massless space spring space as space shown space in space figure space are space placed space on space straight a space smooth space surface. space If space the space block space straight A space moves space with space an space acceleration space a subscript 0 space comma space then space theacceleration space of space the space block space straight B space is

      Two space identical space blocks space straight A space and space straight B space of space mass space straight m space joined space together space with space straight a space massless space spring space as space shown space in space figure space are space placed space on space straight a space smooth space surface. space If space the space block space straight A space moves space with space an space acceleration space a subscript 0 space comma space then space theacceleration space of space the space block space straight B space is

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      straight A space ball space of space mass space straight m space moving space at space straight a space speed space straight v space collides space with space another space ball space of space mass space 3 space straight m space at space rest. space The space lighter space block space comes space to space rest space after space collision. space The space coefficient space of space restitution space is

      straight A space ball space of space mass space straight m space moving space at space straight a space speed space straight v space collides space with space another space ball space of space mass space 3 space straight m space at space rest. space The space lighter space block space comes space to space rest space after space collision. space The space coefficient space of space restitution space is

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      none space of space the space space straight A space steel space ball space is space dropped space on space straight a space hard space surface space from space straight a space height space of space 1 space straight m space and space rebounds space to space straight a space height space of space 64 space cm. space The space maximum space height space attained space by space the space ball space after space space n to the power of t h end exponent text  bounce is (in  end text open straight m close parentheses

      none space of space the space space straight A space steel space ball space is space dropped space on space straight a space hard space surface space from space straight a space height space of space 1 space straight m space and space rebounds space to space straight a space height space of space 64 space cm. space The space maximum space height space attained space by space the space ball space after space space n to the power of t h end exponent text  bounce is (in  end text open straight m close parentheses

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      straight A space boat space of space length space 10 space straight m space and space mass space 450 kg space is space floating space without space motion space in space still space water. space straight A space man space of space mass space 50 kg space standing space at space one space end space of space it space walks space to space the space other space end space of space it space and space stops. The space magnitude space of space thedisplacement space of space the space boat space in space metres space relative space to space ground space is

      straight A space boat space of space length space 10 space straight m space and space mass space 450 kg space is space floating space without space motion space in space still space water. space straight A space man space of space mass space 50 kg space standing space at space one space end space of space it space walks space to space the space other space end space of space it space and space stops. The space magnitude space of space thedisplacement space of space the space boat space in space metres space relative space to space ground space is

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      straight A space machine space gun space shoots space straight a space 40 straight g space bullet space at space straight a space speed space of space 1200 space ms to the power of negative 1 end exponent space space. space The space man space operating space the space gun space can space bear space straight a space maximum space force space of space 144 straight N. space The space maximum space number space of space bullets space shot space per space second space is

      straight A space machine space gun space shoots space straight a space 40 straight g space bullet space at space straight a space speed space of space 1200 space ms to the power of negative 1 end exponent space space. space The space man space operating space the space gun space can space bear space straight a space maximum space force space of space 144 straight N. space The space maximum space number space of space bullets space shot space per space second space is

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      straight A space ball space after space freely space falling space from space straight a space height space of space 4.9 space straight m space strikes space straight a space horizontal space plane. space If space the space coefficient space of space restitution space is space 3 divided by 4 comma space the space ball space will space strike space second space time space with space the space plane space after

      straight A space ball space after space freely space falling space from space straight a space height space of space 4.9 space straight m space strikes space straight a space horizontal space plane. space If space the space coefficient space of space restitution space is space 3 divided by 4 comma space the space ball space will space strike space second space time space with space the space plane space after

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      straight A space heavy space ball space moving space with space speed space straight v space collides space with space straight a space tiny space ball. space The space collision space is space elastic comma space then space immediately space after space the space impact comma space the space second space ball space will space move space with space straight a space speed space approximately space equal space to

      straight A space heavy space ball space moving space with space speed space straight v space collides space with space straight a space tiny space ball. space The space collision space is space elastic comma space then space immediately space after space the space impact comma space the space second space ball space will space move space with space straight a space speed space approximately space equal space to

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      straight A space projectile space of space mass space straight m space is space fired space with space straight a space velocity space straight v space from space point space Pat space an space angle space 45 degree space. space Neglecting space air space resistance comma space the space magnitude space of space the space change space in space momentum space leaving space the space point space straight P space and space arriving space at space straight Q space is

      straight A space projectile space of space mass space straight m space is space fired space with space straight a space velocity space straight v space from space point space Pat space an space angle space 45 degree space. space Neglecting space air space resistance comma space the space magnitude space of space the space change space in space momentum space leaving space the space point space straight P space and space arriving space at space straight Q space is

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      straight A space loaded space 20 comma 000 space kg space coal space wagon space is space moving space on space straight a space level space track space at space 6 space ms to the power of negative 1 end exponent space. space Suddenly space 5000 space kg space of space coal space is space dropped space out space of space the space wagon. space The space final space speed space of space the space wagon space is

      straight A space loaded space 20 comma 000 space kg space coal space wagon space is space moving space on space straight a space level space track space at space 6 space ms to the power of negative 1 end exponent space. space Suddenly space 5000 space kg space of space coal space is space dropped space out space of space the space wagon. space The space final space speed space of space the space wagon space is

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      The space centre space of space mass space of space straight a space non space uniform space rod space of space length space straight L. space Whose space mass space for space unit space length space varies space as space rho equals fraction numerator k times x squared over denominator L end fraction space where space straight k space is space straight a space constant space and space straight x space is space the space distance space of space any space point space from space one space end space is space left parenthesis from space the space same space end right parenthesis

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      straight A space bomb space of space mass space 9 space kg space explodes space into space two space pieces space of space masses space 3 space kg space and space 6 space kg. space The space velocity space of space mass space 3 space kg space is space space 16 space ms to the power of negative 1 end exponent space. space The space kinetic space energy space of space mass space 6 kg space is

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      Which space of space the space following space is space not space straight a space thermodynamic space property space of space straight a space system ? space

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      In the figure, arc stack M N with hat on top has a length of 11.5. To the nearest integer, what is the value of x? 


      In the figure, arc stack M N with hat on top has a length of 11.5. To the nearest integer, what is the value of x? 

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