A body weighs 30 kg on Earth given that the mass of Earth is 6x 1024 kg, ite radius is 6.4x106m, G = 6-7X 10-11 Nm2kg2? Find the force of attraction between the body and the earth.
Answers
Answer:
. Two spherical objects have masses of 200 kg and 500 kg. Their centers are separated by a
distance of 25 m. Find the gravitational attraction between them.
? = ??!?!
?! =
6.67 ? 10!!! ??!
??! 200 ?? 500 ??
25 ? ! = ?. ? ? ??!? ?
2. Two spherical objects have masses of 1.5 x 105 kg and 8.5 x 102 kg. Their centers are
separated by a distance of 2500 m. Find the gravitational attraction between them.
? = ??!?!
?! =
6.67 ? 10!!! ??!
??! 1.5 ? 10! ?? 8.5 ? 10! ??
2500 ? ! = ?. ? ? ??!?? ?
3. Two spherical objects have masses of 3.1 x 105 kg and 6.5 x 103 kg. The gravitational
attraction between them is 65 N. How far apart are their centers?
? = ??!?!
?! , ???? ?? ????? ??? ?ℎ? ??????
? = ??!?!
? =
6.67 ? 10!!! ??!
??! 3.1 ? 10! ?? 6.5 ? 10! ??
65 ? = ?. ? ? ??!? ??????
4. Two spherical objects have equal masses and experience a gravitational force of 25 N towards
one another. Their centers are 36 cm apart. Determine each of their masses.
? = ??!?!
?! , ???? ?? ????? ??? ?ℎ? ??????, ?! = ?! = ?; ? = ??!
?!
NOTE: r is given in cm and MUST be converted to meters!!!
? = ??!
? = ?
?
? = 0.36 ?
25 ?
6.67 ? 10!!! ??!
??!
= ?. ? ? ??? ??
5. A 1 kg object is located at a distance of 6.4 x106 m from the center of a larger object whose
mass is 6.0 x 1024 kg.
a. What is the size of the force acting on the smaller object?
? = ??!?!
?! =
6.67 ? 10!!! ??!
??! 6.0 ? 10!" ?? 1 ??
6.4 ? 10!? ! = ?. ? ?
b. What is the size of the force acting on the larger object?
Newton’s Third Law – the forces are equal so the answer is 9.8 N.