Whether you walk on the road, slide on a marble, or push a sofa, everything is physics and physical components. Indeed force and momentum are one of the important concepts on which half of the physics laws lean on.

**Force vs Momentum**

The difference between force and momentum is that the force is the multiplication of mass of the body and acceleration applied on the body, while Momentum is a multiplication of mass of the body and the velocity. For any stationary object, the force can exist while the momentum of that same stationary object is zero.

The force means the external action of pushing or pulling something that changes the momentum of a body. The formula of force is MA, where M is the mass of the body and A is the acceleration applied.

The momentum, on the other hand, is the quantitative analysis of motion in the body—momentum changes with the constant acceleration. Also, momentum increases with time for an applied force.

**Comparison Table**

Parameters of Comparison | Force | Momentum |
---|---|---|

Definition | Force is the external action on the body that either shifts the body or not. | Momentum is the amount of motion in a moving body that instigates the movement. |

Direction | The direction depends upon acceleration. | The direction of momentum depends on velocity. |

Time | The increase in time eventually decreases the force amount if momentum is constant. | The increase in time increases the momentum. |

Contact with objects | It happens when the body comes in contact or not in contact. | It’s a result of an unbalanced force acting on a body. |

Formula | The formula of force is force = mass*acceleration. | The formula of momentum is momentum = mass*velocity. |

**What is Force?**

Force is an external action that changes the motion of the object. Like you push a sofa or push a car from behind, these types of forces that act on a body is a force.

Thus Newton’s law is one of the important concepts in the physics world. It makes more than half of the physics. According to Newton, this law says that the net force applied to the object is equal to the rate at which its momentum changes with time.

It’s to be pushed it pulled so that it overrules the mass of the body to break the object state, which is on rest. Concepts like thrust, which accelerates the velocity, drag, that decreases, torque, pressure, mechanical stress, deformation, flow in fluids, equilibrium, gravitational force, rolling balls on inclined declined or on a plane surface is supported by this Newton’s law.

Force is a vector quantity. It means it will have a magnitude and direction both. Since acceleration is a vector quantity and mass is constant, it makes the force a vector quantity.

**What is Momentum?**

According to Newtonian mechanics, momentum or describing linear momentum, translational momentum or simply momentum is the multiplication of mass with velocity.

The formula of momentum is Momentum = mass * velocity. Newton’s 2nd law states that the body’s momentum is equal to the force applied to it. It depends upon the frame of reference.

Suppose you are playing pool. When you hit the cue ball to destroy the formation of those stripes and solids, it happens when the cue ball transfers its energy to those coloured balls—the momentum changes from zero to some value.

Formulas like Lagrangian, Hamiltonian mechanics allows one to choose a coordinate system that has symmetries and constraints. Here the general Momentum is a conserved quantity.

**Main Differences Between Force and Momentum**

- Force can be a result of when objects come in contact and even without coming in contact, while Momentum always an unbalanced force acting.
- The formula for force is force= mass* acceleration, while the formula for momentum is momentum= mass*velocity.

**References**

- https://books.google.com/books?hl=en&lr=&id=KemaBQAAQBAJ&oi=fnd&pg=PR7&dq=force&ots=EiyKMBPuS3&sig=VBFZhw0ZxIf_Y82FPO0JO4OpDyc
- https://onlinelibrary.wiley.com/doi/abs/10.1111/j.1540-6261.1996.tb05222.x

My name is Piyush Yadav, and I am a physicist passionate about making science more accessible to our readers. You can read more about me on my bio page.