# 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

^{2}, the magnitude of the force F is 12 Newton. Determine the magnitude and direction of the objects’ acceleration.

__Known :__

m_{1} = 2 kg, m_{2} = 4 kg, g = 10 m/s^{2}, F = 12 Newton

__Wanted __ : a

__Solution :__

ΣF = m a

F = (m_{1} + m_{2}) a

12 = (2 + 4) a

12 = 6 a

a = 12 / 6

a = 2 m/s^{2}

Magnitude of the acceleration is 2 m/s^{2}, direction of the acceleration = direction of the net force = rightward.

2. Mass of the object 1 is 2 kg, mass of the object 2 is 4 kg, acceleration of gravity is 10 m/s

^{2}, magnitude of the force F is 24 N. Determine the magnitude and direction of the acceleration.

__Known :__

m_{1} = 2 kg, m_{2} = 4 kg, g = 10 m/s^{2}, F = 24 Newton

__Wanted:__ acceleration (a)

__Solution :__

ΣF = m a

F = (m_{1} + m_{2}) a

24 = (2 + 4) a

24 = 6 a

a = 24 / 6

a = 4 m/s^{2}

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

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- Normal force
- Newton’s second law of motion
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- The motion of two bodies with the same acceleration on the rough horizontal surface with the friction force
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- Motion on the rough inclined plane with the friction force
- Motion in an elevator
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- Two bodies with the same magnitude of accelerations
- Rounding a flat curve – dynamics of circular motion
- Rounding a banked curve – dynamics of circular motion
- Uniform motion in a horizontal circle
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