Physics-
General
Easy

Question

A bullet fired at an angle of 30 degree with the horizontal hits the ground 3 km away. By adjusting its angle of projection, one can hope to hit a target 5 km away. Assume the muzzle speed to be same and the air resistance is negligible

  1. possible to hit a target 5 km away  
  2. not possible to hit a target 5 km away  
  3. prediction is not possible  
  4. None of the above  

The correct answer is: not possible to hit a target 5 km away


    The body covers a horizontal distance AB during its flight. This horizontal range is given by

    R equals fraction numerator u to the power of 2 end exponent sin invisible function application 2 theta over denominator g end fraction blank left parenthesis i right parenthesis
    F o r blank m a x i m u m blank h o r i z o n t a l blank r a n g e comma sin invisible function application 2 theta equals 1
    therefore blank R subscript m a x end subscript equals fraction numerator u to the power of 2 end exponent over denominator g end fraction blank left parenthesis i i right parenthesis
    G i v e n comma blank R equals 3 k m comma blank theta equals 30 degree
    therefore blank F r o m blank E q. open parentheses i close parentheses
    fraction numerator u to the power of 2 end exponent over denominator g end fraction equals fraction numerator R over denominator sin invisible function application 2 theta blank end fraction equals fraction numerator 3 over denominator sin invisible function application 60 degree end fraction equals fraction numerator 3 cross times 2 over denominator square root of 3 end fraction equals square root of 3 cross times 2
    fraction numerator u to the power of 2 end exponent over denominator g end fraction equals 3.464 m blank o r blank R subscript m a x end subscript equals 3.46 c m
    Hence, maximum range with velocity of projection u cannot be more than 3.464 m, Hence, it is not possible to hit a target 5 km away.

    Related Questions to study

    General
    Physics-

    A particle is moving in a circle of radius R with constant speed v, if radius is double then its centripetal force to keep the same speed should be

    A particle is moving in a circle of radius R with constant speed v, if radius is double then its centripetal force to keep the same speed should be

    Physics-General
    General
    Physics-

    The average acceleration vector for a particle having a uniform circular motion is

    The average acceleration vector for a particle having a uniform circular motion is

    Physics-General
    General
    Physics-

    A particle moves in a circle with a uniform speed. When it goes from a point A to a diametrically opposite point B, the momentum of the particle changes by stack p with rightwards arrow on top subscript A end subscript minus stack p with rightwards arrow on top subscript B end subscript equals 2 blank k g blank m s to the power of negative 1 end exponent left parenthesis stack j with hat on top right parenthesis and the centripetal fore acting on it changes by stack F with rightwards arrow on top subscript A end subscript minus stack F with rightwards arrow on top subscript B end subscript equals 8 Nopen parentheses stack i with hat on top close parentheses where stack i with hat on top and stack j with hat on top are unit vectors along X and Y axes respectively. The angular velocity of the particle is

    A particle moves in a circle with a uniform speed. When it goes from a point A to a diametrically opposite point B, the momentum of the particle changes by stack p with rightwards arrow on top subscript A end subscript minus stack p with rightwards arrow on top subscript B end subscript equals 2 blank k g blank m s to the power of negative 1 end exponent left parenthesis stack j with hat on top right parenthesis and the centripetal fore acting on it changes by stack F with rightwards arrow on top subscript A end subscript minus stack F with rightwards arrow on top subscript B end subscript equals 8 Nopen parentheses stack i with hat on top close parentheses where stack i with hat on top and stack j with hat on top are unit vectors along X and Y axes respectively. The angular velocity of the particle is

    Physics-General
    parallel
    General
    Physics-

    A curved road of diameter 1.8 km is banked so that no friction is required at a speed of 30 blank m s to the power of negative 1 end exponent. What is the banking angle?

    A curved road of diameter 1.8 km is banked so that no friction is required at a speed of 30 blank m s to the power of negative 1 end exponent. What is the banking angle?

    Physics-General
    General
    Physics-

    A body is projected vertically upwards at time t equals 0 and it is seen at a height H at instants t subscript 1 end subscript and t subscript 2 end subscript seconds during its flight. The maximum height attained is left parenthesis g is acceleration due to gravityright parenthesis

    A body is projected vertically upwards at time t equals 0 and it is seen at a height H at instants t subscript 1 end subscript and t subscript 2 end subscript seconds during its flight. The maximum height attained is left parenthesis g is acceleration due to gravityright parenthesis

    Physics-General
    General
    General

    If fraction numerator x minus 2 over denominator 3 end fraction less than x over 2 space t h e n space x element of

    If fraction numerator x minus 2 over denominator 3 end fraction less than x over 2 space t h e n space x element of

    GeneralGeneral
    parallel
    General
    Physics-

    A projectile is projected with kinetic energy K. If it has the maximum possible horizontal range, then its kinetic energy at the highest point will be

    A projectile is projected with kinetic energy K. If it has the maximum possible horizontal range, then its kinetic energy at the highest point will be

    Physics-General
    General
    Physics-

    A particle describes a horizontal circle in a conical funnel whose inner surface is smooth with speed of blank 0.5 blank m divided by s. What is the height of the plane of circle from vertex of the funnel

    A particle describes a horizontal circle in a conical funnel whose inner surface is smooth with speed of blank 0.5 blank m divided by s. What is the height of the plane of circle from vertex of the funnel

    Physics-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

    parallel
    General
    Physics-

    Figure shows a body of mass m moving with a uniform speed v along a circle of radius r. The change in velocity in going from A blankto B is

    Figure shows a body of mass m moving with a uniform speed v along a circle of radius r. The change in velocity in going from A blankto B is

    Physics-General
    General
    Physics-

    A ball of massopen parentheses m close parentheses 0.5 kg is attached to the end of a string having length left parenthesis L right parenthesis 0.5 m. The ball is rotated on a horizontal circular path about vertical axis. The maximum tension that the string can bear is 324 N. The maximum possible value of angular velocity of ball (in rad/s) is

    A ball of massopen parentheses m close parentheses 0.5 kg is attached to the end of a string having length left parenthesis L right parenthesis 0.5 m. The ball is rotated on a horizontal circular path about vertical axis. The maximum tension that the string can bear is 324 N. The maximum possible value of angular velocity of ball (in rad/s) is
    Physics-General

    General
    Physics-

    Given stack c with rightwards arrow on top equals stack a with rightwards arrow on top cross times stack b with rightwards arrow on top. The angle which stack a with rightwards arrow on top makes with stack c with rightwards arrow on top is

    Given stack c with rightwards arrow on top equals stack a with rightwards arrow on top cross times stack b with rightwards arrow on top. The angle which stack a with rightwards arrow on top makes with stack c with rightwards arrow on top is

    Physics-General
    parallel
    General
    Physics-

    The wheel of toy car rotates about axis. It slows down from 400 rps to 200 rps in 2s. Then its angular retardation in r a d s to the power of negative 2 end exponent is

    The wheel of toy car rotates about axis. It slows down from 400 rps to 200 rps in 2s. Then its angular retardation in r a d s to the power of negative 2 end exponent is

    Physics-General
    General
    Physics-

    A body of mass 2 kg attached to a string is whirled in a vertical circle of radius 5 m. The minimum speed of the body at lowest point so that the cord does not slacken even at the highest point is

    A body of mass 2 kg attached to a string is whirled in a vertical circle of radius 5 m. The minimum speed of the body at lowest point so that the cord does not slacken even at the highest point is

    Physics-General
    General
    Physics-

    A particle of mass m blankis executing uniform circular motion on a path of radius r. If p is the magnitude of its linear momentum. The radial force acting on the particle is

    A particle of mass m blankis executing uniform circular motion on a path of radius r. If p is the magnitude of its linear momentum. The radial force acting on the particle 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.