Motion

You are signed in with your email. Delete my email

Pick an answer to check it. Answers and working are free for students who sign in with their email.

1. A stone is projected vertically upwards with an initial velocity of 20 m/s. Taking g = 10 m/s², calculate the total time of flight until it returns to the point of projection.

   1. A 4 s
   2. B 2 s
   3. C 8 s
   4. D 10 s

2. A particle moves in a circular path of radius 5 m with a constant speed of 10 m/s. Calculate the centripetal acceleration of the particle.

   1. A 2 m/s²
   2. B 50 m/s²
   3. C 20 m/s²
   4. D 100 m/s²

3. In Simple Harmonic Motion, the total mechanical energy of the system is conserved. At the mean position (equilibrium point), which of the following statements is true regarding the energy distribution?

   1. A Potential energy is maximum
   2. B Both kinetic and potential energies are zero
   3. C Kinetic energy is maximum
   4. D Kinetic energy is zero

4. A projectile is fired from the ground with an initial velocity of 20 m/s at an angle of 30° to the horizontal. Taking g = 10 m/s², what is the maximum height reached by the projectile?

   1. A 10 m
   2. B 2.5 m
   3. C 20 m
   4. D 5 m

5. A particle of mass 2 kg moves in a circular path of radius 4 m with a constant speed of 6 m/s. Calculate the centripetal force acting on the particle.

   1. A 36 N
   2. B 9 N
   3. C 72 N
   4. D 18 N

6. A 2.0 kg ball moving at 5.0 m/s collides with a stationary 3.0 kg ball. After the collision, the 2.0 kg ball moves at 2.0 m/s in the same direction. Calculate the velocity of the 3.0 kg ball immediately after the collision.

   1. A 1.0 m/s
   2. B 3.0 m/s
   3. C 4.0 m/s
   4. D 2.0 m/s

8. A car starts from rest and accelerates uniformly at 2 m/s² for 10 s. What is the total distance covered by the car during this period?

   1. A 20 m
   2. B 100 m
   3. C 50 m
   4. D 200 m

9. A body of mass 2 kg executes simple harmonic motion with an angular frequency of 5 rad/s. If the amplitude of the motion is 0.2 m, calculate the maximum kinetic energy of the body.

   1. A 0.5 J
   2. B 2.0 J
   3. C 1.0 J
   4. D 5.0 J

10. A stone is projected from the ground with an initial velocity of 20 m/s at an angle of 30° to the horizontal. Taking g = 10 m/s², calculate the time of flight of the stone.

    1. A 1 s
    2. B 4 s
    3. C 0.5 s
    4. D 2 s

11. A stone of mass 0.5 kg is tied to a string and whirled in a horizontal circle of radius 2.0 m. If the stone completes 10 revolutions in 20 seconds, calculate the magnitude of the centripetal force acting on the stone. (Take pi = 3.14)

    1. A 4.93 N
    2. B 9.86 N
    3. C 19.72 N
    4. D 3.14 N

12. A car moves along a circular track of radius 50 m at a constant speed of 20 m/s. If the mass of the car is 1000 kg, what is the centripetal acceleration experienced by the car?

    1. A 40 m/s^2
    2. B 2.5 m/s^2
    3. C 1000 m/s^2
    4. D 8 m/s^2

13. A mass of 0.2 kg is attached to a spring and undergoes simple harmonic motion. If the total energy of the system is 0.5 J and the amplitude is 0.1 m, what is the spring constant of the spring?

    1. A 50 N/m
    2. B 100 N/m
    3. C 200 N/m
    4. D 10 N/m

15. A forced oscillator has a natural frequency of 50 Hz. It is subjected to a driving force with a frequency of 50 Hz. Which of the following statements best describes the motion of the oscillator?

    1. A The amplitude of oscillation is at its minimum
    2. B The period of oscillation becomes zero
    3. C The frequency of oscillation changes to 100 Hz
    4. D The amplitude of oscillation is at its maximum

← All Physics topics Next topic: Gravitational Field →