A Newton's cradle is designed with two balls of different masses, m, and m2, each hung with their center a distance r from the attachment points. Both masses are pulled back and released at the same time so that they meet at the bottom of their swing. m2 mi h2 hi 1. mị is pulled back so that it rises a height h1 from its lowest position. To what height must mą be pulled back so that both balls return to their original heights after colliding. Le. what is ho in terms of the other given variables.

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4 Newton's cradle with different masses
A Newton's cradle is designed with two balls of different masses, m, and m2, each hung with their center a distance
r from the attachment points. Both masses are pulled back and released at the same time so that they meet at the
bottom of their swing.
m2
mi
h2 h1
1. mị is pulled back so that it rises a height hị from its lowest position. To what height must m2 be pulled back
so that both balls return to their original heights after colliding. Le. what is ħ2 in terms of the other given
variables.
2. What is the time between successive collisions.
Transcribed Image Text:4 Newton's cradle with different masses A Newton's cradle is designed with two balls of different masses, m, and m2, each hung with their center a distance r from the attachment points. Both masses are pulled back and released at the same time so that they meet at the bottom of their swing. m2 mi h2 h1 1. mị is pulled back so that it rises a height hị from its lowest position. To what height must m2 be pulled back so that both balls return to their original heights after colliding. Le. what is ħ2 in terms of the other given variables. 2. What is the time between successive collisions.
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