Newton's Second Law for a System of Particles Calculator

The Newton's Second Law for a System of Particles Calculator will calculate:

  1. Net Force acting on a system of particles (at maximum 3 particles)
  2. Centre of mass of the system of particles
  3. Acceleration of the system of particles

Newton's Second Law for a System of Particles Calculator
Newton's Second Law for a System of Particles Calculator Results (detailed calculations and formula below)
The magnitude of acceleration of the system of particles is m/s2
Magnitude of acceleration of the system of particles calculation

a = b/c/d
a = //
a = //
a = /
a =

Where

b = (F1x + F2x + F3x )2 + (F1y + F2y + F3y )2 + (F1z + F2z + F3z )2
c = (x1 × m1 + x2 × m2 + x3 × m3 )2 + (y1 × m1 + y2 × m2 + y3 × m3 )2 + (z1 × m1 + z2 × m2 + z3 × m3 )2
d = m1 + m2 + m3
Newtons Second Law For A System Of Particles Calculator Input Values
Mass of the first object (m1) kg
Mass of the second object (m2) kg
Mass of the third object (m3) kg
x-position of the first object (x1) m
x-position of the second object (x2) m
x-position of the third object ( x3) m
y-position of the first object (y1) m
y-position of the second object (y2) m
y-position of the third object (y3) m
z-position of the first object (z1) m
z-position of the second object ( z2) m
z-position of the third object (z3) m
x - component of force acting on the first object (F1x) N
x - component of force acting on the second object (F2x) N
x - component of force acting on the third object (F3x) N
y - component of force acting on the first object (F1y) N
y - component of force acting on the second object (F2y) N
y - component of force acting on the third object (F3y) N
z - component of force acting on the first object (F1z) N
z - component of force acting on the second object (F2z) N
z - component of force acting on the third object (F3z) N

Please note that the formula for each calculation along with detailed calculations are available below. As you enter the specific factors of each newtons second law for a system of particles calculation, the Newtons Second Law For A System Of Particles Calculator will automatically calculate the results and update the Physics formula elements with each element of the newtons second law for a system of particles calculation. You can then email or print this newtons second law for a system of particles calculation as required for later use.

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Discover Physics with free Physics Revision Notes and Physics Calculator: Newtons Second Law For A System Of Particles. This image shows the properties and newtons second law for a system of particles formula for the Newtons Second Law For A System Of Particles. This calculator will calculate the net Force acting on a system of particles (at maximum 3 particles), the centre of mass of the system of particles and the acceleration of the system of particles

Magnitude of acceleration of the system of particles Formula and Calculation

a = (F1x + F2x + F3x )2 + (F1y + F2y + F3y )2 + (F1z + F2z + F3z )2 /(x1 × m1 + x2 × m2 + x3 × m3 )2
+ (y1 × m1 + y2 × m2 + y3 × m3 )2
+ (z1 × m1 + z2 × m2 + z3 × m3 )2
/m1 + m2 + m3

Using the Newton's Second Law for a System of Particles Calculator

If there are only two objects available, please leave the box of the third mass (i.e. m3) empty.

If there are only two dimensions available, please leave the values of the third coordinate empty (i.e. z1, z2 and z3).

If there is any missing components of force, please leave them empty.

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