The impulse on a particle due to a force acting on it during a given t...
The impulse-momentum theorem states that the change in momentum of an object equals the impulse applied to it.
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The impulse on a particle due to a force acting on it during a given t...
Impulse and Change in Momentum:
The impulse on a particle due to a force acting on it during a given time interval is equal to the change in its momentum. This concept is derived from Newton's second law of motion, which states that the rate of change of momentum of an object is directly proportional to the force acting on it.
Impulse:
- Impulse is defined as the product of force and time for which the force acts on an object. It is given by the formula: Impulse = Force x Time
Change in Momentum:
- Change in momentum is the difference between the final momentum and initial momentum of an object. It is given by the formula: Change in Momentum = Final Momentum - Initial Momentum
Equation:
- According to the principle of impulse and momentum, the impulse on an object is equal to the change in its momentum. Mathematically, this relationship can be expressed as: Impulse = Change in Momentum
Explanation:
- When a force acts on an object for a certain period of time, it causes a change in the object's momentum. This change in momentum is directly proportional to the impulse exerted by the force. Therefore, the impulse on a particle due to a force acting on it during a given time interval is equal to the change in its momentum.
In conclusion, the relationship between impulse and change in momentum helps us understand the effect of forces on the motion of objects. This concept is fundamental in the study of mechanics and is crucial in analyzing the behavior of particles under the influence of external forces.