Physics-
General
Easy

Question

A particle A is projected from the ground with an initial velocity of 10 blank m s to the power of negative 1 end exponentat an angle of 60degree with horizontal. From what height h should an another particle B be projected horizontally with velocity 5 m s to the power of negative 1 end exponent so that both the particles collide in ground at point C if both are projected simultaneously? left parenthesis g equals 10 blank m s to the power of negative 2 end exponent right parenthesis

  1. 10 m    
  2. 30 m    
  3. 15 m    
  4. 25 m    

The correct answer is: 15 m


    Horizontal component of velocity of A is 10 c o s blank 6 0 degree or 5 blank m s to the power of negative 1 end exponent which is equal to the velocity of B in horizontal direction. They will collide at C if time of flight of the particles are equal or t subscript A end subscript equals t subscript B end subscript
    fraction numerator 2 u sin invisible function application theta over denominator g end fraction equals square root of fraction numerator 2 h over denominator g end fraction end root open parentheses therefore h equals fraction numerator 1 over denominator 2 end fraction g t subscript B end subscript superscript 2 end superscript close parentheses
    or h equals fraction numerator 2 u to the power of 2 end exponent sin to the power of 2 end exponent invisible function application theta over denominator g end fraction
    equals fraction numerator 2 open parentheses 10 close parentheses to the power of 2 end exponent open parentheses fraction numerator square root of 3 over denominator 2 end fraction close parentheses to the power of 2 end exponent over denominator 10 end fraction equals 15 blank m

    Related Questions to study

    General
    physics-

    A particle is projected with a speed v at 45 degree with the horizontal. The magnitude of angular momentum of the projectile about the point of projection when the particle is at its maximum height h is

    A particle is projected with a speed v at 45 degree with the horizontal. The magnitude of angular momentum of the projectile about the point of projection when the particle is at its maximum height h is

    physics-General
    General
    physics-

    A body of mass 1kg is rotating in a vertical circle of radius 1m. What will be the difference in its kinetic energy at the top and bottom of the circle? (Take g equals 10 blank m s to the power of negative 2 end exponent)

    A body of mass 1kg is rotating in a vertical circle of radius 1m. What will be the difference in its kinetic energy at the top and bottom of the circle? (Take g equals 10 blank m s to the power of negative 2 end exponent)

    physics-General
    General
    physics-

    A particle of mass m moves with constant speed along a circular path of radius r under the action of force F. Its speed is

    A particle of mass m moves with constant speed along a circular path of radius r under the action of force F. Its speed is

    physics-General
    parallel
    General
    Physics

    A particle is moving in a straight line with initial velocity of 200 ms-1 acceleration of the particle is given by a equals 3 t squared minus 2 t. Find velocity of the particle at 10 second.

    A particle is moving in a straight line with initial velocity of 200 ms-1 acceleration of the particle is given by a equals 3 t squared minus 2 t. Find velocity of the particle at 10 second.

    PhysicsGeneral
    General
    physics

    A particle is moving in a circle of radius R with constant speed. It coveres an angle theta in some time interval. Find displacement in this interval of time.

    A particle is moving in a circle of radius R with constant speed. It coveres an angle theta in some time interval. Find displacement in this interval of time.

    physicsGeneral
    General
    chemistry-

    The shape of AB3 E molecule (B = bond pair, E = lonepair)

    The shape of AB3 E molecule (B = bond pair, E = lonepair)

    chemistry-General
    parallel
    General
    chemistry-

    Which of the following is planar ?

    Which of the following is planar ?

    chemistry-General
    General
    chemistry-

    The bond between chlorine and bromine in BrCl is

    The bond between chlorine and bromine in BrCl is

    chemistry-General
    General
    chemistry-

    For which of the following molecule significant m¹0
    A) 
    B) 
    C) 
    D) 

    For which of the following molecule significant m¹0
    A) 
    B) 
    C) 
    D) 

    chemistry-General
    parallel
    General
    chemistry-

    Which bond angle q., would result in the maximum dipole moment for the triatomic molecule XY2 shown below

    Which bond angle q., would result in the maximum dipole moment for the triatomic molecule XY2 shown below

    chemistry-General
    General
    physics

    A particle moves in straight line. Its position is given by x=2+5t-3t2. Find the ratio of initial velocity and initial acceleration.

    A particle moves in straight line. Its position is given by x=2+5t-3t2. Find the ratio of initial velocity and initial acceleration.

    physicsGeneral
    General
    physics

    As shown in the figure a particle is released from P. It reachet at Q point  at time t1 and reaches at point R at time t2 so t subscript 1 over t subscript 2= ……

    As shown in the figure a particle is released from P. It reachet at Q point  at time t1 and reaches at point R at time t2 so t subscript 1 over t subscript 2= ……

    physicsGeneral
    parallel
    General
    physics

    particles A and B are released from the same height at an interval of 2 S. After some time t the distance between A and B is 100m. Caleulate time t.

    particles A and B are released from the same height at an interval of 2 S. After some time t the distance between A and B is 100m. Caleulate time t.

    physicsGeneral
    General
    physics

    Given graph shows relation between position (X)→ time (t) Find the correct graph of velocity→ time

    Given graph shows relation between position (X)→ time (t) Find the correct graph of velocity→ time

    physicsGeneral
    General
    physics

    Here are displacement → time graphs of particle A and B .if Vand VB are velocities of the particles respectively, then V subscript A over V subscript B =……

    Here are displacement → time graphs of particle A and B .if Vand VB are velocities of the particles respectively, then V subscript A over V subscript B =……

    physicsGeneral
    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.