An aeroplane is flying with a uniform speed of 150 km h-1 along t

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 Multiple Choice QuestionsMultiple Choice Questions

31.

A particle is acted upon by a force of constant magnitude which is always perpendicular to the velocity of the particle, the motion of the particle takes place in a plane. It follows that

  • its velocity is constant

  • its acceleration is constant

  • its kinetic energy is constant

  • its kinetic energy is constant

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32.

Two masses m1 = 5 kg and m2 = 10 kg, connected by an inextensible string over a frictionless pulley, are moving as shown in the figure. The coefficient of friction of the horizontal surface is 0.15. The minimum weight m that should be put on top of m2 to stop the motion is :

  • 10.3 kg

  • 18.3 kg

  • 27.3 kg

  • 43.3 kg


33.

In a collinear collision, a particle with an initial speed v0 strikes a stationary particle of the same mass. If the final total kinetic energy is 50% greater than the original kinetic energy, the magnitude of the relative velocity between the two particles, after the collision, is:

  • vo/4

  • v0/2


34.

From the ground, a projectile is fired at an angle of 60 degrees to the horizontal with a speed of 20 m/s. Take, acceleration due to gravity as 10 m/s2 . The horizontal range of the projectile is

  • 103 m

  • 20 m

  • 203

  • 403 m


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35.

A ball falls from a table top with initial horizontal speed V0. In the absence of air resistance,which of the following statement is correct.

  • The vertical component of the acceleration changes with time

  • The horizontal component of the velocity does not change with time

  • The horizontal component to the acceleration is non zero and finite

  • The time taken by the ball to touch the ground depends on V0


36.

A man of mass 60 kg climbed down using an elevator.The elevator had an acceleration 4 ms-2. If the acceleration due to gravity is 10 ms-2, the man's apparent weight on his way down is

  • 60 N

  • 240 N

  • 360 N

  • 840 N


37.

A uniform rod of length of 1 m arid mass of 2 kg is attached to a side support at O as shown in the figure. The rod is at equilibrium due to upward force T acting at P. Assume the acceleration due to gravity as 10 m/s2 . The value of T is

     

  • 0

  • 2 N

  • 5 N

  • 10 N


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38.

An aeroplane is flying with a uniform speed of 150 km h-1 along the circumference of a circle. The change in its velocity in half the revolution (in km h-1) is

  • 150

  • 100

  • 200

  • 300


D.

300

The change in velocity in half revolution,

      Δv = 150 − (− 150)

           = 150 + 150

           = 300 kmh-1


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39.

In uniform circular motion, the centripetal acceleration is

  • towards the centre of the circular path and perpendicular to the instantaneous velocity

  • a constant acceleration

  • away from the centre of the circular path and perpendicular to the instantaneous velocity

  • a variable acceleration making 45° with the instantaneous velocity


40.

A body is thrown up with a speed u, at an angle of projection θ. If the speed of the projectile becomes u2on reaching the maximum height, then the maximum vertical height attained by the projectile is

  • u24g

  • u23g

  • u22g

  • u2g


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