Motion in Two and Three Dimensions Test Online MCQs

1. A projectile can have the same range R for two angles of projection. If t₁ and t₂ be the times of flights in the two cases, then the product of the two times of flights is proportional to

2. A body is projected at such angle that the horizontal range is three times the greatest height. The angle of projection is

3. Two equal vectors have a resultant equal to either of them, then the angle between them will be

4. The maximum range of a gun horizontal terrain is 10 km. If g = 10 m/s² what must be the muzzle velocity of the shell

5. A stone tied to the end of a string of 80 cm long, is whirled in a horizontal circle with a constant speed. If the stone makes 14 revolutions in 25 sec, then magnitude if acceleration of the same will be

6. For a given angle of the projectile if the initial velocity is doubled the range of the projectile becomes

7. If two projectiles are fired at the angles 30° and 60° respectively then the ratio of their horizontal ranges is

8. A stone to a string is rotated with a uniform speed in a vertical plane. If mass of the stone is m, the length of the string is r and the linear speed of the stone is v, when the stone is at its lowest point, then the tension in the strong will be (g = acceleration due to gravity)

9. If a cyclist moving with a speeds of 4.9 m/s on leveled road can take a sharp circular turn of radius 4m, then the coefficient of friction between cycle tyre and road will be

10. The angle between  will be

11. If R and H represent the horizontal range and the maximum height achieved by a projectile then which of the relation exists?

12. For ordinary terrestrial experiments, the observer in an inertial frame in the following cases is

13. An aeroplane moves 400 m towards the north, 300 m towards west and then its displacement from the initial position is

14. A car moving on a circular path of length 4π meter experience a force of 6N towards the center of the path. If the mass of the car is 108 kg, the velocity of the car is:

15. A body of mass 5 kg is moving in a circle of radius 1 m with an angular velocity of 2 rad/sec. Then the centripetal force will be