# Relationship between momentum impulse and force

### Inertia, Momentum, Impulse, and Kinetic Energy | hair-restore.info

Force, Momentum, and Impulse. We know how to calculate the kinetic energy of moving objects -- isn't that enough? No. It turns out that many situations. Momentum is a measure of how difficult it is to stop something. Impulse is a quantity that describes the effect of a net force acting on an object (a kind of. The purpose of this brief review is to explain the mechanical relationship between impulse and momentum when resistance exercise is.

From Equation 1force is inversely proportional to time. That is, to perform a movement in a shorter period of time, greater force must be generated. Arguments have been made that the muscle tension will be constant through the given range of motion, and thus provide optimum stimulation throughout such range Wescott, This statement has not been experimentally verified and unfortunately neglects the changes in moment arm and muscle length which ultimately change the muscle force regardless of speed of action.

This argument does, however, have some factual basis, as the impulse increases as time increases Equation 4in the case of maximal effort actions. In the case of PS, increasing time decreases force, and excessive time duration will not maximize impulse.

Arguments for purposefully slow PS training Muscle force: While PS proponents vary in their reasoning for suggesting this method, the basic premise is that when the weight is moving quickly, the muscles will not be able to exert as much force and thus the training effect will be diminished Brzycki, ; Wescott, While true that the muscles will not produce as much force at the higher velocities during maximum effort velocity-controlled actions, the previous statement ignores the requisite force to initiate high velocity movements for a given load in an isoinertial condition.

In addition, the aforementioned F-V relationship was derived under conditions of maximal acceleration maximal voluntary muscle activationand thus differs from intentionally slow movements. An attempt to reduce the speed of motion subsequently reduces the force expressed Keogh et al.

### What are momentum and impulse? (article) | Khan Academy

Modifications to any one of these metabolic factors during exercise may alter signal transduction pathways and hence modify gene transcription for muscle growth Rennie et al. Potential strength adaptations due to acute metabolic stimuli have recently been reviewed elsewhere Crewther et al. The metabolic hypothesis has not yet been examined in conjunction with PS training studies; therefore these ideas are currently speculative for this type of training.

Movements performed at low velocities prolong the time of contraction in each repetition for a given range of motion time-under-tension; TUT. Proponents of PS training regard this increased time as a positive characteristic to stimulate training adaptation Wescott et al.

TUT can be considered a manner by which to prescribe a dose of resistance exercise Tran and Docherty,which is crucial as the optimal dose for weight training is subject to tremendous debate Carpinelli and Otto, ; Stone et al. PS advocates suggest that this time dose or TUT is of greater importance than the actual load lifted, which could be related to the fact that perceived effort in PS and normal training session have been shown to be similar Egan et al.

This rationale originates from the hypothesis of a direct relationship between the duration of contraction and metabolic stimulus, but this hypothesis has not been supported in studies examining PS exercise Gentil et al. A potential caveat of increased TUT is that the load must be decreased to perform a successful s concentric contraction as compared to a maximal acceleration repetition i. This is concerning as the load, or mechanical stimuli, has been suggested to be of critical importance for inducing adaptation Dudley et al.

### Momentum and Impulse Connection

However, the reduced load advocated by PS might be less effective for hypertrophy due to the load constraints. This reduction in load is seen by PS advocates as inconsequential to the ultimate physiological effects. However, a basic premise of tissue adaptation i.

Wolff's and Davis' Laws Biewener and Bertram, is that a minimum threshold of force is required to elicit adaptation. The notion that load is peripheral in its importance is in direct opposition to other authors' demonstrating the magnitude of mechanical stress i. Please note that although related, load and muscle force are not equal, as propulsive forces can differ.

Increasing TUT for an exercise session can be accomplished by simply increasing the number of total repetitions of maximal-acceleration exercises increased volume-load; Tran and Docherty, This would ultimately increase the time that the muscle has been under tension for that session, but the force output of the muscle will have been greater due to the relatively larger loads.

Impulse and Momentum

The complex relationship between load and TUT requires further investigation. Forms of resistance training fall within a continuum from slow to fast velocities.

Resistance training such as powerlifting relatively slow and weightlifting relatively fast are quite far apart on this continuum. Weightlifting WL is the sport by which athletes attempt to lift maximal weight in the snatch and clean and jerk Chiu and Schilling, WL is characterized by high accelerations and fast velocities due to the inherent nature of the sport by which a loaded barbell is moved from the ground at an initial velocity of '0' to an eventual overhead position.

Successful performances of these lifts necessitate great velocities and thus great power Garhammer, ; However, the relative loads resistance are not as great as seen in the sport of powerlifting PL.

PL is comprised of the bench press, squat, and deadlift exercises, and PL is performed at substantially lower velocities than WL.

## Momentum and Impulse Connection

Elite PL records exceed kg in each of their respective lifts Kraemer and Koziris, While these lifts begin with an explosive muscle contraction high RFDthe overall velocity is slow due primarily to the high load Brown and Abani, ; Garhammer and McLaughlin, Both PL and WL typically involve maximal acceleration, with the resultant velocity a function of the load lifted, and it has been suggested that it is the intent to maximally accelerate the load is common amongst PL and WL Behm and Sale, Analogous to PL, PS training employs similar low velocities, but with substantially less resistance, as the velocity is deliberately slow low acceleration.

Considering these unique features, a simplistic case of the impulse-momentum relationship can be used to conceptually compare these forms of resistance training Table 1. The relationships between force and various modes of resistance training identified in Table 1 exposes the potential for superior force production for WL and PL, but not with PS training. These conceptual relationships have been substantiated with lower eccentric and concentric forces seen in deliberately slow repetitions, as compared with those done with no restrictions on speed Keogh et al.

And if the velocity of the object is changed, then the momentum of the object is changed. Impulse These concepts are merely an outgrowth of Newton's second law as discussed in an earlier unit. To truly understand the equation, it is important to understand its meaning in words. In words, it could be said that the force times the time equals the mass times the change in velocity.

The physics of collisions are governed by the laws of momentum; and the first law that we discuss in this unit is expressed in the above equation.

The equation is known as the impulse-momentum change equation.

• Inertia, Momentum, Impulse, and Kinetic Energy
• Impulse & Momentum
• What are momentum and impulse?

The law can be expressed this way: In a collision, an object experiences a force for a specific amount of time that results in a change in momentum. The result of the force acting for the given amount of time is that the object's mass either speeds up or slows down or changes direction.

The impulse experienced by the object equals the change in momentum of the object. In a collision, objects experience an impulse; the impulse causes and is equal to the change in momentum. Consider a football halfback running down the football field and encountering a collision with a defensive back. The collision would change the halfback's speed and thus his momentum.

If the motion was represented by a ticker tape diagramit might appear as follows: At approximately the tenth dot on the diagram, the collision occurs and lasts for a certain amount of time; in terms of dots, the collision lasts for a time equivalent to approximately nine dots. In the halfback-defensive back collision, the halfback experiences a force that lasts for a certain amount of time to change his momentum.

Since the collision causes the rightward-moving halfback to slow down, the force on the halfback must have been directed leftward. If the halfback experienced a force of N for 0.

In a collision, the impulse experienced by an object is always equal to the momentum change. Depending on the physical properties of the ball and wall, the speed at which the ball rebounds from the wall upon colliding with it will vary. The diagrams below depict the changes in velocity of the same ball.