# Problem: The gravitational attraction between two objects with masses m1 and m2, separated by distance x, is F=Gm1m2/x2, where G is the gravitational constant.How much work is done by gravity when the separation changes from x1 to x2? Assume x2&amp;lt;x1.If one mass is much greater than the other, the larger mass stays essentially at rest while the smaller mass moves toward it. Suppose a 1.5kg1013 kg comet is passing the orbit of Mars, heading straight for the 1.99kg1030 kg sun at a speed of 3.7 m/s104 G. What will its speed be when it crosses the orbit of Mercury? The orbit of Mars is 2.28m/s108 m km, the orbit of Mercury is 5.79km107 m km, and G = 6.67km10-11 m Ncdot m^2/kg^2.

###### FREE Expert Solution
98% (162 ratings)
###### Problem Details

The gravitational attraction between two objects with masses m1 and m2, separated by distance x, is F=Gm1m2/x2, where G is the gravitational constant.

How much work is done by gravity when the separation changes from x1 to x2? Assume x2&lt;x1.

If one mass is much greater than the other, the larger mass stays essentially at rest while the smaller mass moves toward it. Suppose a 1.5kg1013 kg comet is passing the orbit of Mars, heading straight for the 1.99kg1030 kg sun at a speed of 3.7 m/s104 G. What will its speed be when it crosses the orbit of Mercury? The orbit of Mars is 2.28m/s108 , the orbit of Mercury is 5.79km107 , and = 6.67km10-11 .

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Net Work & Kinetic Energy concept. You can view video lessons to learn Net Work & Kinetic Energy. Or if you need more Net Work & Kinetic Energy practice, you can also practice Net Work & Kinetic Energy practice problems.