The horizontal range and the maximum height of a projectile are

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 Multiple Choice QuestionsMultiple Choice Questions

101.

A body of mass 1 kg begins to move under the action of a time dependent force F =   N, where  are units vectors along X and Y axis. What power will be developed by the force at the time (t)?

  • (2t2 + 4t4) W

  • (2t3 + 3 t4) W

  • (2t3 + 3t5) W

  • (2t + 3t3)W

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102.

If the velocity of a particle is v = At + Bt2, where A and B are constants, then the distance travelled by it between 1 s and 2 s is,

  • 3A + 7B

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103.

A particle  moves so that its position vector is given by r = cos   where   is a constant. Which of the following is true?

  • velocity and acceleration both are parallel to r

  • velocity is perpendicular to r and acceleration is directed towards the origin

  • velocity is perpendicular to r and acceleration is directed away from the origin

  • velocity and acceleration both are perpendicular to r

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104.

A particle of unit mass undergoes one-dimensional motion such that its velocity according to
V(x) =  βx-2n where β and n are constants and x is the position of the particle. The acceleration of the particle as a function of x is given by 

  • -2nβ2 x-2n-1

  • -2nβx-4n-1

  • -2β x-2n+1

  • -2β x-2n+1

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105.

What is the minimum velocity with which a body of mass m must enter a vertical loop of radius R so that it can complete the loop?

  • square root of 2 gR end root
  • square root of 3 gR end root
  • square root of 5 gR end root
  • square root of 5 gR end root
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106.

A particle of mass 10 g moves along a circle of radius 6.4 cm with a constant tangential acceleration. What is the magnitude of this acceleration, if the kinetic energy of the particle becomes equal to 8 x 10-4 J by the end of the second revolution after the beginning of the motion?

  • 0.15 m/s2

  • 0.18 m/s2

  • 0.2 m/s2

  • 0.2 m/s2

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107.

A projectile is fired from the surface of the earth with a velocity of 5 m/s and angle straight theta with the horizontal. Another projectile fired from another planet with a velocity of 3 m/s at the same angle follows a trajectory which is identical with the trajectory of the projectile fired from the earth. The value of the acceleration due to gravity on the planet is,

  • 3.5

  • 5.9

  • 16.3

  • 16.3

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108.

A balloon with mass m is descending down with an acceleration a (where a <g). How much mass should be removed from it so that it starts moving up with an acceleration a?

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109.

The horizontal range and the maximum height of a projectile are equal. The angle of projection of the projectile is


B.

Given, R = H

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110.

A particle has initial velocity (2i+3j) and acceleration (0.31i +0.2j). The magnitude of velocity after 10 s will be

  • 9 square root of 2 units
  • 5 square root of 2 units
  • 5 units

  • 5 units

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