qz9sol_6942s11 - energy when it is 4.00 × 10 6 m from the...

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TA: Tomoyuki Nakayama Monday, April 4 , 2011 PHY 2048: Physic 1, Discussion Section 6942 Quiz 9 (Homework Set #11) Name: UFID: Formula sheets are not allowed. Do not store equations in your calculator. You have to solve problems on your own; memorizing final algebraic expressions from homework assignments and just plugging numbers into them will not give you full credit. Leave all your work. ________________________________________________________________________________ Zero, a hypothetical planet, has a mass of 4.00 × 10 23 kg, a radius of 2.50 × 10 6 m, and no atmosphere. A 20.0 kg space probe is to be launched vertically from its surface. a) If the probe is launched with an initial kinetic energy of 9.00 × 10 7 J, what will be its kinetic
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Unformatted text preview: energy when it is 4.00 × 10 6 m from the center of Zero? Since the gravitational force is a conservative force, the mechanical energy of the probe-planet system is conserved. The energy conservation equation yields E i = E f ⇒ K i – GMm/R i = K f – GMm/R f K f = K i – GMm(1/R i – 1/R f ) = 9.96 × 10 6 J b) If the probe is to achieve a maximum distance of 8.00 × 10 6 m from the center of Zero, with what initial kinetic energy must it be launched from the surface of Zero? When the probe reaches the maximum height, its speed becomes zero. The energy conservation equation leads to E i = E f K i – GMm/R i = -GMm/R f K i = GMm(1/R i – 1/R f ) = 1.47 × 10 8 J...
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