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A system consists of two particles. At $t=0$ one particle is at the origin; the other, which has a mass of 0.50 $\mathrm{kg}$ , is on the $y$ -axis at $y=6.0 \mathrm{m}$ . At $t=0$ the center of mass of the system is on the $y$ -axis at $y=2.4 \mathrm{m} .$ The velocity of the center of mass is given by $\left(0.75 \mathrm{m} / \mathrm{s}^{3}\right) t^{2} \hat{\mathrm{i}}$ , (a) Find the total mass of the system. (b) Find the acceleration of the center of mass at any time $t$ . (c) Find the net external force acting on the system at $t=3.0 \mathrm{s} .$

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(a) $M=1.25 \mathrm{kg}$(b) $\overrightarrow{\mathrm{a}}_{\mathrm{cm}}=1.5 \mathrm{tm} / \mathrm{s}^{3}$ i(c) $\sum \overrightarrow{\mathrm{F}}_{\text { ext }}=5.625$ iN

Physics 101 Mechanics

Chapter 8

Momentum, Impulse, and Collisions

Moment, Impulse, and Collisions

University of Washington

University of Winnipeg

McMaster University

Lectures

04:30

In classical mechanics, impulse is the integral of a force, F, over the time interval, t, for which it acts. In the case of a constant force, the resulting change in momentum is equal to the force itself, and the impulse is the change in momentum divided by the time during which the force acts. Impulse applied to an object produces an equivalent force to that of the object's mass multiplied by its velocity. In an inertial reference frame, an object that has no net force on it will continue at a constant velocity forever. In classical mechanics, the change in an object's motion, due to a force applied, is called its acceleration. The SI unit of measure for impulse is the newton second.

03:30

In physics, impulse is the integral of a force, F, over the time interval, t, for which it acts. Given a force, F, applied for a time, t, the resulting change in momentum, p, is equal to the impulse, I. Impulse applied to a mass, m, is also equal to the change in the object's kinetic energy, T, as a result of the force acting on it.

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A system consists of two p…

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09:41

CALC A system consists of …

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04:48

Three particles, each with…

18:22

At one instant, the center…

The vector position of a $…

18:10

The vector position of a 3…

08:54

01:55

A $4.0 \mathrm{~kg}$ parti…

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