Explanation Given info: Mass of Sputnik 1 is 83.5 kg , distance from center of earth at apogee is 7330 km and distance from center of earth at perigee is 6610 km . The universal gravitational constant is 6.67 × 10 − 11 N ⋅ m 2 / kg 2 , Mass of the earth is 5.97 × 10 24 kg . The formula for gravitational potential energy is, U e = − G m M e r e (1) Here, U e is the gravitational potential energy. m is mass of object. M e is mass of earth. r e is the distance between earth and the object. G is the universal gravitational constant. Substitute 6.67 × 10 − 11 N ⋅ m 2 / kg 2 for G , 83.5 kg for m , 5.97 × 10 24 kg for M e , 7330 km for r e and U e1 for U e in above expression for gravitational energy at apogee. U e1 = − ( 6.67 × 10 − 11 N ⋅ m 2 / kg 2 ) ( 83.5 kg ) ( 5.97 × 10 24 kg ) ( 7330 km × 1000 m 1 km ) = − 4.54 × 10 9 J Thus, the gravitational energy at apogee is − 4.54 × 10 9 J

Modified Mastering Physics with Pearson eText -- Access Card -- for Physics (18-Weeks)

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ISBN: 9780136781356

Author: Walker, JAMES

Publisher: PEARSON

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Chapter 12, Problem 36PCE

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The difference in gravitational potential energy of Sputnik 1 , when moved from apogee to perigee.

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Chapter 12, Problem 35PCE

Chapter 12, Problem 37PCE

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The difference in gravitational potential energy of Sputnik 1 , when moved from apogee to perigee.

Solution Summary: The author explains the difference in gravitational potential energy of Sputnik 1 when moved from apogee to perigee.

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The difference in gravitational potential energy of Sputnik 1 , when moved from apogee to perigee.

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