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      Quantity of motion that an object has

      • Momentum is a physics term; it refers to the quantity of motion that an object has. A sports team that is on the move has the momentum. If an object is in motion (on the move) then it has momentum. Momentum can be defined as "mass in motion." All objects have mass; so if an object is moving, then it has momentum - it has its mass in motion.
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  2. In terms of an equation, the momentum of an object is equal to the mass of the object times the velocity of the object. Momentum = mass • velocity. In physics, the symbol for the quantity momentum is the lower case p. Thus, the above equation can be rewritten as. p = m • v. where m is the mass and v is the velocity.

  3. Introduction to momentum. Momentum (P) is equal to mass (M) times velocity (v). But there are other ways to think about momentum! Force (F) is equal to the change in momentum (ΔP) over the change in time (Δt). And the change in momentum (ΔP) is also equal to the impulse (J).

    • 9 min
    • Sal Khan
    • Overview
    • Introduction to Momentum
    • Frame of Reference
    • What else should I know about momentum?

    Review your understanding of momentum in this free article aligned to NGSS standards.

    Both the mass and velocity of an object impact momentum. As a result, less massive objects can have more momentum than more massive objects (if the less massive object is moving faster), and slower objects can have more momentum than faster objects (if the slower object has more mass). For example, a parked car has less momentum than a flying mosquito and a bicycle moving at 20 mph‍  has less momentum than a freight train moving at 1 mph‍ .

    Depending on the situation, we can consider the momentum of individual objects, or we can consider the total momentum of an entire system. The total momentum of a system is the vector sum of all the individual masses that comprise the system. So for a system that consists of two masses, m1‍  and m2‍ , with velocities v→1‍  and v→2‍ , we can write P→total=p→1+p→1‍ , where p→1=m1v→1‍  and p→2=m2v→2‍ .

    Since v→‍  is a vector, momentum, p→‍ , is also a vector. As such, the frame of reference impacts how we determine velocity v→‍ , and thus momentum p→‍ . For example, the passenger inside a moving car will have a momentum of 0‍  with respect to the car, but their momentum is non-zero with respect to the ground.

    In addition, for the chosen reference frame, the x‍ -direction and the y‍ -direction of the momentum for each object must be considered separately. For example, two objects with the same mass and speed moving in the same direction will have total momentum of 2mv‍ . But if those objects were moving directly towards each other, they would have a total momentum of zero.

    •Momenta of zero. If an object is moving, its momentum cannot be zero. However, this is not necessarily true for a system. Since momentum is a vector, the total momentum of a system can be zero if there are multiple masses. For instance, a system of two objects that have the same magnitude of momentum and are moving directly toward one another will have a total momentum of zero.

    •Momentum can be represented by p→‍  or by P→‍  . You may sometimes see p→‍  for an individual mass and P→‍  for a system of masses.

  4. Momentum is a measurement of mass in motion: how much mass is in how much motion. It is usually given the symbol p . By definition, p = m ⋅ v. Where m is the mass and v is the velocity. The standard units for momentum are kg ⋅ m / s , and momentum is always a vector quantity.

  5. Linear momentum is the product of a system’s mass and its velocity. In equation form, linear momentum p is. p = mv. 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.

  6. Feb 20, 2022 · State Newton’s second law of motion in terms of momentum. Calculate momentum given mass and velocity. The scientific definition of linear momentum is consistent with most people’s intuitive understanding of momentum: a large, fast-moving object has greater momentum than a smaller, slower object.

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