Impulse formula

  1. 8.1 Linear Momentum, Force, and Impulse
  2. Impulse and Momentum
  3. AP Physics 1
  4. propulsion
  5. Momentum and Impulse (Formulas, Example Problems, Relationships)
  6. How to Calculate Impulse.
  7. Angular Impulse: Definition & Theorem


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8.1 Linear Momentum, Force, and Impulse

Teacher Support The learning objectives in this section will help your students master the following standards: • (6) Science concepts. The student knows that changes occur within a physical system and applies the laws of conservation of energy and momentum. The student is expected to: • (C) calculate the mechanical energy of, power generated within, impulse applied to, and momentum of a physical system. Section Key Terms Teacher Support [BL] [OL] Review inertia and Newton’s laws of motion. [AL] Start a discussion about movement and collision. Using the example of football players, point out that both the mass and the velocity of an object are important considerations in determining the impact of collisions. The direction as well as the magnitude of velocity is very important. Momentum, Impulse, and the Impulse-Momentum Theorem Linear momentum is the product of a system’s mass and its velocity. In equation form, linear momentum p is p = m v . p = m v . You can see from the equation that momentum is directly proportional to the object’s mass ( m) and velocity ( v). Therefore, the greater an object’s mass or the greater its velocity, the greater its momentum. A large, fast-moving object has greater momentum than a smaller, slower object. Momentum is a vector and has the same direction as velocity v. Since mass is a scalar, when velocity is in a negative direction (i.e., opposite the direction of motion), the momentum will also be in a negative direction; and when velocity is...

Impulse and Momentum

Summary • Momentum… • is a quantity that describes an object's resistance to stopping (a kind of "moving inertia"). • is represented by the symbol p (boldface). • is the product of an object's mass and velocity. p= m v • is a vector quantity (since velocity is a vector and mass is a scalar). • Impulse… • is a quantity that describes the effect of a net force acting on an object (a kind of "moving force"). • is represented by the symbol J (boldface). • is the product of the average net force acting on an object and its duration. J= F∆ t • is the force-time integral. J= ⌠ ⌡ F dt • is a vector quantity (since force is a vector and time is a scalar). • Impulse-Momentum Theorem • The impulse-momentum theorem states that the change in momentum of an object equals the impulse applied to it. J=∆ p • If mass is constant, then… F∆ t= m∆ v • If mass is changing, then… F dt= md v+ v dm • The impulse-momentum theorem is logically equivalent to • Units • The SI unit of impulse is the newton second. • The SI unit of momentum is the kilogram meter per second. • These units of impulse and momentum are equivalent. [Ns=kgm/s] Related concepts of dynamics I II inertia m momentum p= m v force law F= m a impulse-momentum theorem J=∆ p action-reaction + F 1=− F 2 conservation of momentum ∑ p=∑ p 0 • Specific impulse • is a measure of the efficacy of rocket propellants. • if defined as impulse per mass (or thrust per mass flow rate) • is equal to exhaust velocity and has the SI unit of meter per ...

AP Physics 1

Let’s talk about what momentum is. Linear momentum is defined as the product of the mass m and the velocity v of an object which in equation form is p=m*v. The change in momentum of an object is a vector in the direction of the net force that's being exerted on the object. The units are kg * m/s for linear momentum. It’s important to note that a constant linear momentum p is the momentum of an object of mass m that is moving in a straight line with a velocity v. Remember that the velocity is a vector and so is the momentum whereas the mass is a scalar. Momentum can also be applied to objects that are rotating or that have a torque acting upon them. If questions are referring to rotating objects, then the problems will specify “angular momentum,” not linear. Newton’s 2nd Law was applied to derive this formula: Sum of the Forces=change in momentum/change in time or F=p/t. This means that the net force acting on an object is equal to the change in its momentum divided by the elapsed time. This equation will remain valid regardless of the changes in mass. Another way to denote this relationship is to say that p = Pfinal - Pinitial which equals P=mF*vFinal -mInitial*vInitial. So, if the mass remains constant, P=mv. Impulse is defined as the average force exerted by an object times the amount of total time elapsed. Impulse is represented by J = Average Force * time. The impulse can be found by finding the area underneath a force vs. time graph. The units for impulse are kg*m/s o...

propulsion

I'm acquainting myself with space propulsion and I'd love a good definition of total impulse beyond just a derivation. Why is it important? How does it related to other key metrics for propulsion systems (like thrust, specific impulse, etc.)? Also, what are examples of total impulse for different kinds of propulsion systems (chemical vs. electric, for instance)? I'll expand on @OrganicMarble's Richard Nakka's Experimental Rocketry Web Site titled Suppose you have built a rocket engine and you would like to see how good it is, but you don't have an extra rocket and launch crew to test it. You would do a static test, meaning you'd mount the engine fixed somewhere safe, and ignite it. The thing you can measure is the force that the engine produces. The plot in Now suppose you'd like to characterize the engine's performance during this test run with a single number. You can calculate the area under the curve my multiplying each force measurement times $\Delta t$, the time between measurements. That total area is called total impulse, but it depends on the amount of fuel you used for your test. If you use twice as much fuel, the total impulse might be roughly double, but that doesn't mean the engine is better. So you can divide total impulse by the mass of the fuel used in the particular test. The result is called specific impulse or impulse per unit mass. It turns out the specific impulse is the average effective velocity of the thrust. Traditionally, people divide that by Ear...

Momentum and Impulse (Formulas, Example Problems, Relationships)

Loading... Bridges that are often passed by large trucks will usually be damaged more quickly than bridges that are only passed by smaller vehicles. Apparently, it is related and can be explained by the formula for momentum and impulse in physics. Momentum and impulse are two related concepts. It is necessary to learn from understanding, the relationship between the two to the formula used to solve a problem. Check out the full explanation below. All objects that can move must have their own momentum. In physics, the definition of momentum is a vector quantity whose direction is the same as the direction of the object's velocity. Related to the previous statement, momentum also refers to the product of the total weight of an object and the velocity of an object. Simply put, momentum is a measure of the difficulty of making an object stop moving. Momentum possessed by an object is influenced by two things, namely mass and velocity. If object A has a heavy mass, then its momentum is also large. Likewise with speed, the momentum of object B will increase the faster the object moves. Let us understand by taking a simple example. Two cherries with the same weight, but located on branches of different heights, then the cherry on Tall branches will cause more pain when they fall to their feet than cherry trees on lower branches low. Another example is when there is a collision between 2 vehicles. Vehicles that have a higher speed, of course, will experience more severe damage tha...

How to Calculate Impulse.

Impulse is the change of momentum of an object when the object is acted upon by a force for an interval of time. Because of the impulse-momentum theorem, we can make a direct connection between how a force acts on an object over time and the motion of the object. The SI unit of impulse is newton second. Formula to calculate impulse.

Angular Impulse: Definition & Theorem

• Physics • Rotational Dynamics • Angular Impulse Angular Impulse We all have heard the saying "Airbags save lives," but have you ever wondered how they actually save lives? Airbags do this by using the concepts of impulse and momentum in the event of car collisions. Airbags decrease the amount of force exerted on a person by increasing the amount of time needed to stop the momentum of the person. Without… Angular Impulse • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • We all have h...