Problem 8: A meteoroid is moving towards a planet. It has mass m = 0.18×109 kg and speed v1 = 4.7×107 m/s at distance R1 = 1.7×107 m from the center of the planet. The radius of the planet is R = 0.26×107 m. The mass of the planet is M = 3.2×1025 kg. There is no air around the planet.Enter an expression for v, the meteoroid’s speed at the planet’s surface, in terms of G, M, v1, R1, and R. v = ( v12 - 2 G M/R1 + 2 G M/R )0.5Calculate the value of v in meters per second. mR,R

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University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter2: Vectors

Section: Chapter Questions

Problem 68P: Find the cross product for (a) and (b) and (c) and and (d) and

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Problem 8: A meteoroid is moving towards a planet. It has mass m = 0.18×10⁹ kg and speed v₁ = 4.7×10⁷ m/s at distance R₁ = 1.7×10⁷ m from the center of the planet. The radius of the planet is R = 0.26×10⁷ m. The mass of the planet is M = 3.2×10²⁵ kg. There is no air around the planet.

Enter an expression for v, the meteoroid’s speed at the planet’s surface, in terms of G, M, v₁, R₁, and R.

v = ( v₁² - 2 G M/R₁ + 2 G M/R )^0.5

Calculate the value of v in meters per second.

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