Momentum Assignment Help

What Is Momentum?

Momentum is a vector quantity that is the product of the velocity of the body and the mass of the body weighed in kilogram in the KGS system. Momentum has been considered as a vector as it comes with both a direction as well as a magnitude. Momentum has been stated in the second law of motion as proposed by Newton where the rate of the change of momentum in a particular moment of time is equal to the force that has been acting on the particle. As per the famous Newtonian third law of motion where one particle exerts equal and opposite amount of force from one body to the another, the change in momentum of one body is balanced by an opposite and equal changes in momentum exerted by the opposite another body (Chenoweth and Belgioioso 2019).

What Are the Types of Momentum?

On the basis of its nature and the ways in which it acts on the particle momentum has been divided into two types the linear and the angular one. The object that has been spinning or moving about in the circular motion can be said to have an angular motion whereas the body that had been moving with a velocity in a linear direction can be said to have a linear momentum in its motion.

Angular Momentum

Angular momentum or rotational momentum as it called is considered as an equivalent to the linear momentum acting on a linear path in its rotational manner. The importance of the rotational momentum lies in the fact that the quantity of angular momentum is a conserved one. In a system that remains enclosed the angular momentum of the system remains constant (Schwinger 2001).

Linear Momentum

Linear momentum derives itself directly from the definition of the momentum and Newton’s second law of motion. The scientific definition of linear momentum is thereby consistent with the general intuitive understanding of momentum where a body with a huge mass and at a larger velocity has a greater momentum as compared to the smaller body with a lower velocity having a lesser momentum. In definition linear velocity system is the product that is derived by multiplying the mass of the body with the velocity at which it has been undertaking the motion. In symbolic terms linear momentum is expressed as p=mv. From this equation it is thereby evident that the momentum of the body is directly proportional with the mass and the velocity of the body. Thus, greater the mass of the object or the velocity, greater will be its momentum. The direction of momentum is same as the one of its velocity.

Conceptual Momentum

Momentum has been conceptually defined as the mass which is in motion. All the body comes with its inherent mass and thereby if a body is in motion it is directive of the fact that it has its motion as well. The dependence of momentum is on its mass and the velocity with which the mass is in motion (Rose 1995).

Inertia

Inertia is the resistance that has been offered by the body to any form of changes in its motion. In other words a body in the state of rest desires to stay in the state of rest while a body in the state of motion desires to stay in the state of motion until and unless an external force is applied with the intention to change its state. So, inertia is the state of the body either in motion or in static and thereby also forms the first law of Newton’s motion.

What Is the Principle of Conservation of Momentum?

Conservation of momentum is one of the most important principle in physics, specially in the branch of dynamics. When a collision occurs between two objects, the momentum of the objects before the collision remains the same as the momentum that has been gained by after the collision as a system. Thus, in other word the momentum of collision in a system remains conserved and as such the total amount of momentum is unchanging in its value and constant. The reason behind the momentum can be understood from the third law of Newton where the forces are equal in terms of magnitude as well as opposite in direction (Varshalovich, Moskalev and Khersonskii 1988).

What Is Momentum Formula?

Linear momentum has been defined as the product of the mass of the system which has been multiplied by its velocity. Linear momentum which is denoted by ‘p’ is defined to be the product of mass and velocity, denoted by ‘m’ and ‘v’. Thereby symbolically p=mv.  The SI unit of momentum in the KGS system is marked by kg-m/s. In terms of Newton’s second law of motion, momentum has been stated as the net external force which is equal to the changes in the momentum in the system taken as a whole and being divided by the simultaneous changes in time.

F_net =Δp/Δt

How to Calculate Momentum?

In the KGS system the mass of the system is taken in the unit of kg followed by the velocity which is calculated in the unit of m/s. The momentum of the body is thereby calculated by multiplying the mass of the body with the velocity with which it has been in motion. In case the system and its momentum is concerned the formula becomes

M₁V₁=M₂V₂

The momentum of the system thereby remains constant and conserved.

How to Find Momentum?

The formula of momentum is p=mv where p refers to the momentum, m refers to the mass and v refers to the velocity of the body whose momentum is calculated. One of the two values or variables involved in this equation requires to be obtained in order to calculate the third. For example, the momentum can be calculated with the values of m and v, and similarly ‘v’ can be calculated with the value of m and p where the equation thereby becomes ‘v=p/m’.

At a given instance of time, the rate of change of displacement can be calculated in order to calculate the velocity of the body in the physics Assignment help. The mass being constant, the momentum can be calculated effectively (Bak, Cangemi, and Jackiw 1994).

Bibliography

Chenoweth, E. and Belgioioso, M., 2019. The physics of dissent and the effects of movement momentum. Nature human behaviour, 3(10), pp.1088-1095.

Schwinger, J., 2001. Angular momentum. In Quantum mechanical  engineering (pp. 149-181). Springer, Berlin, Heidelberg.

Rose, M.E., 1995. Elementary theory of angular momentum. Courier Corporation.

Varshalovich, D.A., Moskalev, A.N. and Khersonskii, V.K.M., 1988. Quantum theory of angular momentum.

Yao, A.M. and Padgett, M.J., 2011. Orbital angular momentum: origins, behavior and applications. Advances in optics and photonics, 3(2), pp.161-204.

Bak, D., Cangemi, D. and Jackiw, R., 1994. Energy-momentum conservation in gravity theories. Physical Review D, 49(10), p.5173.