A car goes round a curve of radius 100 m at 25 m/sec. The angle to the horizontal at which the road must be banked to prevent sideways friction on the car wheels is tan”1 x, where x is (Assume g = 10 m/sec2)_____________________?

Related Mcqs:

1. A shell travelling with a horizontal velocity of 100 m/sec explodes and splits into two parts, one of mass 10 kg and the other of 15 kg. The 15 kg mass drops vertically downward with initial velocity of 100 m/sec and the 10 kg mass begins to travel at an angle to the horizontal of tan”1 x, where x is______________________?

   A. 3/4
   B. 4/5
   C. 5/3
   D. 3/5

2. A ladder of weight ‘w’ rests against a smooth vertical wall, and rests on rough horizontal ground, the coefficient of friction between the ladder and the ground being 1/4. The maximum angle of inclination of the ladder to the vertical, if a man of weight ‘w’ is to walk to the top of it safely, is tan’1 x, where x is___________________?

   A. 1/4
   B. 1/3
   C. 3
   D. 4

3. A stone was thrown vertically upwards from the ground with a velocity of 50 m/sec. After 5 seconds another stone was thrown vertically upwards from the same place. If both the stones strike the ground at the same time, then the velocity with which the second stone was thrown should be (Assume g = 10 m/sec2)______________________?

   A. 15 m/sec
   B. 25 m/sec
   C. 40 m/sec
   D. 50 m/sec

4. If a projectile is fired with an initial velocity of 10 m/sec at an angle of 60° to the horizontal, its horizontal and vertical velocity at the highest point of trajectory are___________________?

   A. 0 and 5 m/sec
   B. 5 m/sec and 0
   C. 5 V3 m/sec and 0
   D. 5 and 5V3 m/sec

5. A hoop of radius 3 m weighs 100 kg. It rolls along a horizontal floor so that at its centre of mass has a speed of 200 mm/sec, . The work required to stop the hoop is______________?

   A. 2 J
   B. 4 J
   C. 6 J
   D. 8 J

6. The total kinetic energy of a hoop of mass 2 kg and radius 4 m sliding with linear velocity 8 m/sec and angular velocity 5 radian/sec is_________________?

   A. 64 J
   B. 400 J
   C. 464 J
   D. 89 J

7. If a body is lying on a plane whose inclination with the horizontal is less than the angle of friction, then___________________?

   1) a force is required to move the body upwards
   2) a force is required to move the body downward
   3) the body will not be in equilibrium
   The correct answer is?

   A. only (1)
   B. only (2)
   C. both (1) and (2)
   D. both (1) and (3)

8. The angular speed of a car taking a circular turn of radius 100 m at 36 km/hr will be___________________?

   A. 0.1 rad/sec
   B. 1 rad/sec
   C. 10 rad/sec
   D. 100 rad/sec

9. A shell of mass 100 kg travelling with a velocity of 10 m/sec breaks into two equal pieces during an explosion which provides an extra kinetic energy of 20000 Joules. If the pieces continue to move in the same direction as before, then the speed of the faster one must be____________________?

   A. 20 m/sec
   B. 30 m/sec
   C. 40 m/sec
   D. 50 m/sec

10. A projectile has maximum range of 40 m on a horizontal plane. If angle of projection is a and the time of flight is 1 second, then sin a must be about__________________?

    A. 1/4
    B. 1/3
    C. 1/2
    D. 1/5

    Assume g = 10 m/sec2