Question

What will be the momentum of a body, if the force acting on the body is zero?

Answer 1

In physics, a force is any contact that, while unopposed, causes an object to change its velocity. A force can cause a mass item to change its velocity (which includes starting to move from a standstill), i.e. accelerate. Intuitively, force may be characterised as a push or a pull. A force is a vector quantity since it has both magnitude and direction. The SI unit of Newton is used to measure it (N). The letter F is used to indicate force.

Complete step-by-step solution:
Linear momentum, translational momentum, or simply momentum (pl. momenta) is the sum of an object's mass and velocity in Newtonian physics. It's a two-dimensional vector quantity with a magnitude and a direction. If m is the mass of an item and v is its velocity (also a vector quantity), then P = mv is the object's momentum.
Momentum is measured in kilogram metres per second (kgm/s) in SI units.
The rate of change of a body's momentum is equal to the net force exerted on it, according to Newton's second law of motion. Momentum varies depending on the frame of reference, but it is a conserved quantity in any inertial frame, meaning that if a closed system is not impacted by external forces, its total linear momentum remains constant. Momentum is maintained in special relativity (with a modified formula) as well as electrodynamics, quantum mechanics, quantum field theory, and general relativity (in a modified version). It is a manifestation of translational symmetry, which is one of the fundamental symmetries of space and time.
$F{\text{ }} = \dfrac{{{\text{ }}dp}}{{dt}}{\text{ }}$= Force (rate of change of momentum). As a result, the acting force will be zero only when the momentum is constant.

Note: Newton's second law says that the net force acting on an item is equal to the rate at which its momentum changes over time in its original form. This rule states that the acceleration of an object is directly proportional to the net force acting on the object, is in the direction of the net force, and is inversely proportional to the mass of the object if the mass of the object is constant.