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1 Momentum and Impulse. When we previously studied Newton's 2nd law, we wrote that: X ~F = m~a. However, if we write it in the following way (similar to what Newton did), we nd: X ~F d~v d. s is equal to the time rate o. momentum, or linear momentum. ~p = m~v. (de nition of momentum) (1) Momentum (~p) is a vector quantity with SI units of kg m/s.
1. Momentum and Impulse. n Momentum (Linear momentum): . . p = m v : definition of momentum. n Newton’s 2nd Law. The rate of change of momentum of a body is proportional to the resultant force acting on the body and is in the same direction. . ∑. d P. = dt. Impulse-momentum theorem.
Lesson 9: Impulse, Momentum, Center of Mass, Collisions (Sections 7.1-7.7) Lesson 9, page 1 Chapter 7 Linear Momentum From page 234 In Chapter 4 we learned how to determine the acceleration of an object by finding the net force acting on it and applying Newton’s second law of motion. If the force happens to
Momentum and Impulse. Momentum p = mv. » Momentum is a vector. Impulse-Momentum Thm: I = FDt = Dmv. Impulse is = change in momentum: I = Dp. Impulse is a vector because F is a vector. If there is no impulse, momentum does not change (i.e., it is conserved) When is momentum conserved? When no external forces cause an Impulse. Clicker Q (w/ demo)
Describe momentum, what can change momentum, impulse, and the impulse-momentum theorem; Describe Newton’s second law in terms of momentum ; Solve problems using the impulse-momentum theorem
Impulse = force × time interval Impulse = FΔt. whenever you exert a force on an object you also exert an impulse. the resulting acceleration depends on the force; the resulting change in momentum depends on the force and the time in which the force acts.
Solving Static Equilibrium Problems. • Decide on the “system”. • Choose a rotational axis and sign convention. Linear Momentum of a. We define the momentum of an object as: p = m v. where m = mass and v = velocity. p is a vector and is in the same direction as v. (Don’t confuse p with power or pressure.)
