### Class XI

The formula for gravitational potential energy associated with two particles of masses m1m1and m2m2 separated by distance by a distance r is given by
1. v=-Gm1m2 2r
2. v = -Gm1m2 r
3. v=Gm1m2 r
4. v=+Gm1m2 r
For a satellite to be in a circular orbit 780 km above the surface of the earth, what is the period of the orbit (in hours)?
1. 1.65 hr
2. 1.88 hr
3. 1.78 hr
4. 1.98 hr
At what distance above the surface of the earth is the acceleration due to the earth’s gravity 0.980 m/ s2s2 if the acceleration due to gravity at the surface has magnitude 9.8 m/ s2
1. 0.98 ×× 107107 m
2. 1.48 ×× 107107 m
3. 1.18 ×× 107107 m
4. 1.37 ×× 107107 m
A uniform, solid, 1000.0-kg sphere has a radius of 5.00 m. Find the gravitational force this sphere exerts on a 2.00-kg point mass placed at a distance of 5.01 m from the center of the sphere
1. 5.63 ×× 10−910−9 N
2. 5.31 ×× 10−910−9 N
3. 5.52 ×× 10−910−9 N
4. 5.41 ×× 10−910−9 N
A spaceship is stationed on Mars. How much energy must be expended on the spaceship to launch it out of the solar system? Mass of the space ship = 1000 kg; mass of the sun = 2 ×× 10301030 kg; mass of mars = 6.4 ×× 10231023 kg; radius of mars = 3395 km; radius of the orbit of mars = 2.28 ×× 108108 km; G = 6.67 ×× 10−1110−11 N m2 kg−2−2.
1. 5.96 ×× 10111011 J
2. 5.66 ×× 10111011 J
3. 5.5 ×× 10111011 J
4. 5.86 ×× 10111011 J
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