## What is Force and Momentum: Introduction

## FAQs on Difference Between Force and Momentum for JEE Main 2024

1. What is the relationship between force and acceleration?

The relationship between force and acceleration is defined by Newton's second law of motion. According to the law, the acceleration of an object is directly proportional to the net force applied to it and inversely proportional to its mass. Mathematically, this relationship can be expressed as F = m * a, where F represents the net force, m denotes the mass of the object, and a represents its acceleration. In simple terms, a greater force applied to an object with a given mass will result in a larger acceleration, while a larger mass will require a greater force to produce the same acceleration.

2. What is the law of conservation of momentum?

The law of conservation of momentum states that the total momentum of a closed system remains constant if no external forces act upon it. In other words, the momentum before an event or interaction is equal to the momentum after the event. This principle holds true for collisions and interactions between objects, where momentum may be transferred or exchanged. Conservation of momentum is based on the fundamental principle that in the absence of external forces, the total amount of motion in a system remains constant.

3. How is impulse related to force and momentum?

Impulse is directly related to force and momentum. Impulse can be defined as the change in momentum of an object. It is equal to the product of the force applied to an object and the time interval over which the force acts. Mathematically, impulse (J) is represented as J = F * Δt, where F is the force applied and Δt is the time interval. By exerting a force over a longer time, a smaller force can produce the same change in momentum as a larger force applied for a shorter time.

4. Are force and momentum directly proportional?

Force and momentum are not directly proportional to each other. While both force and momentum are related to an object's mass and motion, they are not directly proportional. Force is directly proportional to the rate of change of momentum, as described by Newton's second law (F = ma). However, the relationship between force and momentum is influenced by other factors such as the duration of the force application and the initial momentum of the object.

5. What is the difference between linear momentum and angular momentum?

The main difference between linear momentum and angular momentum lies in the type of motion they describe. Linear momentum pertains to the motion of an object in a straight line and is a product of its mass and linear velocity. In contrast, angular momentum relates to the rotational motion of an object around an axis and is determined by the object's moment of inertia and angular velocity.