Motion on the horizontal surface without the friction force – application of Newton’s law of motion problems and solutions

1. Mass of the object 1 is 2 kg, the mass of the object 2 is 4 kg, acceleration of gravity is 10 m/s2, the magnitude of the force F is 12 Newton. Determine the magnitude and direction of the objects’ acceleration.

Motion on horizontal surface without friction force – application of Newton's law of motion problems and solutions 1

Known :

m1 = 2 kg, m2 = 4 kg, g = 10 m/s2, F = 12 Newton

Wanted : a

Solution :

ΣF = m a

F = (m1 + m2) a

12 = (2 + 4) a

12 = 6 a

a = 12 / 6

a = 2 m/s2

Magnitude of the acceleration is 2 m/s2, direction of the acceleration = direction of the net force = rightward.

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2. Mass of the object 1 is 2 kg, mass of the object 2 is 4 kg, acceleration of gravity is 10 m/s2, magnitude of the force F is 24 N. Determine the magnitude and direction of the acceleration.

Motion on horizontal surface without friction force – application of Newton's law of motion problems and solutions 2

Known :

m1 = 2 kg, m2 = 4 kg, g = 10 m/s2, F = 24 Newton

Wanted: acceleration (a)

Solution :

ΣF = m a

F = (m1 + m2) a

24 = (2 + 4) a

24 = 6 a

a = 24 / 6

a = 4 m/s2

The direction of the acceleration = the direction of the net force = rightward.

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  1. Mass and weight
  2. Normal force
  3. Newton’s second law of motion
  4. Friction force
  5. Motion on the horizontal surface without friction force
  6. The motion of two bodies with the same acceleration on the rough horizontal surface with the friction force
  7. Motion on the inclined plane without friction force
  8. Motion on the rough inclined plane with the friction force
  9. Motion in an elevator
  10. The motion of bodies connected by cord and pulley
  11. Two bodies with the same magnitude of accelerations
  12. Rounding a flat curve – dynamics of circular motion
  13. Rounding a banked curve – dynamics of circular motion
  14. Uniform motion in a horizontal circle
  15. Centripetal force in uniform circular motion