Gravitational attraction force between two objects with masses m1 and m2, separated by distance x, is F= G((m1m2)/x2)) where G = 6.67 × 10−11 is constant. Suppose a 1.5 × 1013 [kg] comet is passing the orbit of Mars (x= 2.28 × 1011[m] ) heading straight for the Sun (m= 2 × 1030[kg]) at a speed v = 3.5 × 104 [m/s]. What will its speed be when it crosses the orbit of Mercury (x = 5.79 × 109 [m] ) ? [Hint: How much work is done by gravity when the separation changes from x1 to x2 ?]
Gravitational attraction force between two objects with masses m1 and m2, separated by distance x, is F= G((m1m2)/x2)) where G = 6.67 × 10−11 is constant. Suppose a 1.5 × 1013 [kg] comet is passing the orbit of Mars (x= 2.28 × 1011[m] ) heading straight for the Sun (m= 2 × 1030[kg]) at a speed v = 3.5 × 104 [m/s]. What will its speed be when it crosses the orbit of Mercury (x = 5.79 × 109 [m] ) ? [Hint: How much work is done by gravity when the separation changes from x1 to x2 ?]
Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter2: Newtonian Mechanics-single Particle
Section: Chapter Questions
Problem 2.49P
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Gravitational attraction force between two objects with masses m1 and m2, separated by
distance x, is F= G((m1m2)/x2))
where G = 6.67 × 10−11 is constant.
Suppose a 1.5 × 1013 [kg] comet is passing the orbit of Mars (x= 2.28 × 1011[m] )
heading straight for the Sun (m= 2 × 1030[kg]) at a speed v = 3.5 × 104
[m/s]. What
will its speed be when it crosses the orbit of Mercury (x = 5.79 × 109
[m] ) ?
[Hint: How much work is done by gravity when the separation changes from x1 to x2 ?]
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