### The impulse-momentum relationship is a direct result of which of Newtons Laws? | Yahoo Answers

Newt says the momentum of an object will change if and only if a net While we can show that F = MA came from the impulse relationship. The impulse-momentum relationship is a direct result of According to the impulse-momentum equation Ft=change in (mv), a person will suffer less injury falling. 1) Which of the following has the largest momentum relative to the Earth? 4) The impulse-momentum relationship is a direct result of. A) Newton's 1st law.

However, heavy moving objects still possess the same momentum that they do on earth, and it can be just as difficult to change this momentum. Suppose that an emergency occurs on a space station and an astronaut needs to manually move a free-floating 4, kg space capsule away from a docking area.

On earth, the astronaut knows she can hold a 50 kg weight above herself for 3 seconds. How quickly could she get the capsule moving? We first calculate the total impulse that the astronaut can apply. Note that the astronaut is pushing vertically in both cases so we don't need to keep track of the direction of the force.

Impulse and momentum The relationship between force and velocity for a constant mass such as is encountered in free-weight training is given in the relationship between impulse and momentum.

A constant mass under the influence of a force can be expressed with Newton's second law represented by equation 1. In the above case, the acceleration a experienced by an object is directly proportional to the force impressed F and inversely proportional to its mass m.

Since acceleration is the first derivative d of velocity with respect to time, the equation can also be written to reflect the first derivative with respect to time rate of change in the quantity mv.

In such a case linear momentum L is expressed as equation 2. When a force acts upon the object from a time period from t1 to t2, equation 1 can be integrated in time to obtain equation 3. Equation 3 defines linear impulse Iand is equal to the change in linear momentum, as shown in equation 4. As mass is constant during free-weight resistance training, a greater impulse will result in a greater velocity.

In human movement, force is required first to maintain static equilibrium and second to generate acceleration. The force required to maintain static equilibrium is equal to an object's mass multiplied by gravitational acceleration. Additional force results in acceleration of a mass or a change in momentum. These components of acceleration are described in equation 5: Therefore, as generation of force greater than the weight of the resistance increases i.

As velocity approaches zero, propulsive force approaches zero, therefore slow moving objects only require force approximately equal to the weight of the resistance. The slower the intended velocity, the closer the force expressed comes to equalling the linear inertia of the load i. 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.

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An attempt to reduce the speed of motion subsequently reduces the force expressed Keogh et al. 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.

## Momentum and Energy © 2013 Pearson Education, Inc.

When any quantity in physics does not change, we say it is conserved. If a system undergoes changes wherein all forces are internal, the net momentum of the system before and after the event is the same.

Does it follow that no change in momentum occurs?

Another line of reasoning is simply that no net force means there is no net impulse and thus no change in momentum. Momentum is transferred from the first ball to the second ball. Colliding objects bounce perfectly in perfect elastic collisions. The sum of the momentum vectors is the same before and after each collision.

A moving ball strikes a ball at rest.

## Impulse-momentum relationship is a direct result of which Newton law?

Two moving balls collide head-on. Two balls moving in the same direction collide. Momentum conservation holds true even in inelastic collisions. Whenever colliding objects become tangled or couple together, a totally inelastic collision occurs. External forces are usually negligible during the collision, so the net momentum does not change during collision. Billiard balls encounter friction with the table and the air.

After a collision of two trucks, the combined wreck slides along the pavement and friction decreases its momentum.

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Two space vehicles docking in orbit have the same net momentum just before and just after contact. Since there is no air resistance in space, the combined momentum is then changed only by gravity. Drop a ball and after it bounces from the floor, both the ball and the floor are a bit warmer.

At the microscopic level, however, perfectly elastic collisions are commonplace. One glider is loaded so it has three times the mass of another glider.

The loaded glider is initially at rest. The unloaded glider collides with the loaded glider and the two gliders stick together.

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

Describe the motion of the gliders after the collision. The momentum of the wreck is equal to the vector sum of the momenta of car A and car B before the collision. If their momenta are equal in magnitude, after colliding their combined momentum will be in a northeast direction with a magnitude times the momentum either vehicle had before the collision. The momenta of the fragments combine by vector rules to equal the original momentum of the falling firecracker.