# 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.

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.

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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