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October 22 Solutions

# October 22 Solutions - 8.31 IDENTIFY Treat the comet and...

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8.31. IDENTIFY: Treat the comet and probe as an isolated system for which momentum is conserved. SET UP: In part (a) let object A be the probe and object B be the comet. Let x be the direction the probe is traveling just before the collision. After the collision the combined object moves with speed 2 v . The change in velocity is 21 x B x v v v . In part (a) the impact speed of 37,000 km/h is the speed of the probe relative to the comet just before impact: 11 37,000 km/h A x B x vv . In part (b) let object A be the comet and object B be the earth. Let x be the direction the comet is traveling just before the collision. The impact speed is 40,000 km/h, so 40,000 km/h A x B x . EXECUTE: (a) 12 xx PP . 2 A A x B B x x AB m v m v v mm . 2 1 1 1 1 1 A B A B A x B x A x B x A x B x A B A B A B m m m m m v v v v v v v m m m m m m . 6 14 372 kg ( 37,000 km/h) 1.4 10 km/h 372 kg 0.10 10 kg v . The speed of the comet decreased by 6 . This change is not noticeable. (b) 14 8 14 24 ( 40,000 km/h) 6.7 10 km/h 5.97 10 kg v . The speed of the earth would change by 8 . This change is not noticeable.

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October 22 Solutions - 8.31 IDENTIFY Treat the comet and...

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