Physics-
General
Easy

Question

Two particles 1 and 2 are projected with same speed v as shown in figure. Particle 2 is on the ground and particle 1 is at a height h from the ground and at a horizontal distance s from particle 2. If a graph is plotted between v and s for the condition of collision of the two then (v on y-axis and s on x-axis)

  1. It will be a parabola passing through the origin    
  2. It will be straight line passing through the origin and having a slope of square root of fraction numerator g over denominator 8 h end fraction end root    
  3. It will be a straight line passing through the origin and having a slope of square root of fraction numerator g over denominator 4 h end fraction end root    
  4. It will be a straight line not passing through the origin    

The correct answer is: It will be straight line passing through the origin and having a slope of square root of fraction numerator g over denominator 8 h end fraction end root


    Assuming particle 2 to be at rest, substituting in
    y equals x tan invisible function application theta minus fraction numerator g x to the power of 2 end exponent over denominator 2 u to the power of 2 end exponent cos to the power of 2 end exponent invisible function application theta end fraction blank left parenthesis theta equals 0 degree right parenthesis

    We have negative h equals fraction numerator negative g over denominator 2 left parenthesis 4 v to the power of 2 end exponent right parenthesis end fraction
    or v equals square root of fraction numerator g over denominator 8 h end fraction end root
    Which is a straight line passing through origin with slopesquare root of fraction numerator g over denominator 8 h end fraction end root

    Related Questions to study

    General
    chemistry-

    Wurtz reaction of methyl iodide yields an organic compound X. which of the following reaction also yields X ?

    Wurtz reaction of methyl iodide yields an organic compound X. which of the following reaction also yields X ?

    chemistry-General
    General
    physics-

    A particle originally at a rest at the highest point of a smooth circle in a vertical plane, is gently pushed and starts sliding along the circle. It will leave the circle at a vertical distance h below the highest point such that

    A particle originally at a rest at the highest point of a smooth circle in a vertical plane, is gently pushed and starts sliding along the circle. It will leave the circle at a vertical distance h below the highest point such that

    physics-General
    General
    physics-

    A 0.098 kg block slides down a frictionless track as shown. The vertical component of the velocity of block at A is

    A 0.098 kg block slides down a frictionless track as shown. The vertical component of the velocity of block at A is

    physics-General
    parallel
    General
    Physics-

    A small mass m is attached to a massless string whose other end is fixed at P as shown in the figure. The mass is undergoing circular motion in the x minus y plane with center at O and constant angular speed omega. If the angular momentum of the system, calculated about O blankand P are denoted by stack L with rightwards arrow on top subscript O end subscript and stack L with rightwards arrow on top subscript P end subscript respectively, then

    A small mass m is attached to a massless string whose other end is fixed at P as shown in the figure. The mass is undergoing circular motion in the x minus y plane with center at O and constant angular speed omega. If the angular momentum of the system, calculated about O blankand P are denoted by stack L with rightwards arrow on top subscript O end subscript and stack L with rightwards arrow on top subscript P end subscript respectively, then

    Physics-General
    General
    chemistry-

    The monomer used to produce neoprene is

    The monomer used to produce neoprene is

    chemistry-General
    General
    chemistry-

    What is ‘A’ in the following reaction?

    What is ‘A’ in the following reaction?

    chemistry-General
    parallel
    General
    chemistry-

    What is ‘A’ in the following reaction?

    What is ‘A’ in the following reaction?

    chemistry-General
    General
    Physics-

    Three identical particles are joined together by a thread as shown in figure. All the three particles are moving in a horizontal plane. If the velocity of the outermost particle is v subscript 0 end subscript, then the ratio of tensions in the three sections of the string is

    Three identical particles are joined together by a thread as shown in figure. All the three particles are moving in a horizontal plane. If the velocity of the outermost particle is v subscript 0 end subscript, then the ratio of tensions in the three sections of the string is

    Physics-General
    General
    physics-

    A weightless thread can bear tension up to3.7 blank k g wt. A stone of mass 500 blank g m s is tied to it and revolved in a circular path of radius 4 blank m in a vertical plane. If g equals 10 blank m s to the power of negative 2 end exponent , then the maximum angular velocity of the stone will be

    A weightless thread can bear tension up to3.7 blank k g wt. A stone of mass 500 blank g m s is tied to it and revolved in a circular path of radius 4 blank m in a vertical plane. If g equals 10 blank m s to the power of negative 2 end exponent , then the maximum angular velocity of the stone will be

    physics-General
    parallel
    General
    physics-

    A man 80 kg is supported by two cables as shown in the figure. Then the ratio of tensions T subscript 1 end subscript and T subscript 2 end subscript is

    A man 80 kg is supported by two cables as shown in the figure. Then the ratio of tensions T subscript 1 end subscript and T subscript 2 end subscript is

    physics-General
    General
    Maths-

    A square matrix open square brackets a subscript i j end subscript close square brackets equals 0 for i space not equal to j and a subscript i j end subscript equals K (constant) for i equals j is called a

    A square matrix open square brackets a subscript i j end subscript close square brackets equals 0 for i space not equal to j and a subscript i j end subscript equals K (constant) for i equals j is called a

    Maths-General
    General
    chemistry-

    DS for the reaction: MgCO3(s) → MgO(s) + CO2(g) will be -

    DS for the reaction: MgCO3(s) → MgO(s) + CO2(g) will be -

    chemistry-General
    parallel
    General
    physics-

    A point P moves in counter-clockwise direction on a circular path as shown in the figure. The movement of P is such that it sweeps out length s equals t to the power of 3 end exponent plus 5 comma where s is in metre and t is in second. The radius of the path is 20 m. The acceleration of P when t =2s is nearly

    A point P moves in counter-clockwise direction on a circular path as shown in the figure. The movement of P is such that it sweeps out length s equals t to the power of 3 end exponent plus 5 comma where s is in metre and t is in second. The radius of the path is 20 m. The acceleration of P when t =2s is nearly

    physics-General
    General
    chemistry-

    FothreactioN2(g)+3H2(g)→2NH3(g),DH is-

    FothreactioN2(g)+3H2(g)→2NH3(g),DH is-

    chemistry-General
    General
    physics-

    Three identical spheres of mass Meach are placed at the corners of an equilateral triangle of side 2m. Taking one of the corner as the origin, the position vector of the centre of mass is

    Three identical spheres of mass Meach are placed at the corners of an equilateral triangle of side 2m. Taking one of the corner as the origin, the position vector of the centre of mass is

    physics-General
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.