ch09-p124

# ch09-p124 - 124. We refer to the discussion in the textbook...

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rightward in Fig. 9-21 as our + x direction. We use the notation G v when we refer to velocities and v when we refer to speeds (which are necessarily positive). Since the algebra is fairly involved, we find it convenient to introduce the notation Δ m = m 2 m 1 (which, we note for later reference, is a positive-valued quantity). (a) Since G vg h i 11 2 =+ where h 1 = 9.0 cm, we have G v mm v m gh fi 1 12 1 1 2 = + =− + Δ which is to say that the speed of sphere 1 immediately after the collision is vm m m g h f 2 1 2 Δ b g c h and that G v f 1 points in the – x direction. This leads (by energy conservation mgh mv ff 1 2 2 = ) to h v g m h f f 1 1 2 2 1 2 == + F H G I K J Δ . With m 1 = 50 g and m 2 = 85 g, this becomes 1 0.60 cm f h . (b) Eq. 9-68 gives v m v m gh 2 1 1 1 1 22 2 = + = + which leads (by energy conservation 1 2 22 2 = ) to h v g m h f f 2 2 2 1 2 1 2 2 + F H G I K J . With m 1 = 50 g and m 2 = 85 g, this becomes h f 2 49 .cm . (c) Fortunately, they hit again at the lowest point (as long as their amplitude of swing was “small” – this is further discussed in Chapter 16). At the risk of using cumbersome

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## This note was uploaded on 05/17/2011 for the course PHY 2049 taught by Professor Any during the Spring '08 term at University of Florida.

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ch09-p124 - 124. We refer to the discussion in the textbook...

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