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When two hydrogen atoms of mass $m$ combine to form a diatomic hydrogen molecule $\left(H_{2}\right),$ the potential energy of the system after they combine is $-\Delta,$ where $\Delta$ is a positive quantity called the binding energy of the molecule. (a) Show that in a collision that involves only two hydrogen atoms, it is impossible to form an $\mathrm{H}_{2}$ molecule because momentum and energy cannot simultaneously be conserved. (Hint: If you can show this to be true in one frame of reference, then it is true in all frames of reference. Can you see why?) (b) An $\mathrm{H}_{2}$ molecule can be formed in a collision that involves three hydrogen atoms. Suppose that before such a collision, each of the three atoms has speed $1.00 \times 10^{3} \mathrm{m} / \mathrm{s}$ , and they are approaching at $120^{\circ}$ angles so that at any instant, the atoms lie at the comers of an equilateral triangle. Find the speeds of the $\mathrm{H}_{2}$ molecule and of the single hydrogen atom that remains after the collision. The binding energy of $\mathrm{H}_{2}$ is $\Delta=7.23 \times 10^{-19} \mathrm{J},$ and the mass of the bindrogenatom is $1.67 \times 10^{-27} \mathrm{kg}$ .

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$2.40 \times 10^{4} \mathrm{m} / \mathrm{s}$

Physics 101 Mechanics

Chapter 8

Momentum, Impulse, and Collisions

Moment, Impulse, and Collisions

Rutgers, The State University of New Jersey

University of Michigan - Ann Arbor

Hope College

University of Winnipeg

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.

07:31

An H2 molecule can be form…

03:12

(a) Let a molecule comes w…

02:35

A beam of helium-3 atoms $…

A beam of helium- 3 atoms …

14:16

In high-energy physics, ne…

02:52

Suppose that a particle $z…

07:24

(III) A particle of mass $…

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