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The acceleration due to gravity at the north pole of
Chapter 13, Problem 35E(choose chapter or problem)
The acceleration due to gravity at the north pole of Neptune is approximately 10.7 m/s2. Neptune has mass 1.0 × 1026 kg and radius 2.5 × 104 km and rotates once around its axis in about 16 h. (a) What is the gravitational force on a 5.0-kg object at the north pole of Neptune? (b) What is the apparent weight of this same object at Neptune’s equator? (Note that Neptune’s “surface” is gaseous, not solid, so it is impossible to stand on it.)
Questions & Answers
QUESTION:
The acceleration due to gravity at the north pole of Neptune is approximately 10.7 m/s2. Neptune has mass 1.0 × 1026 kg and radius 2.5 × 104 km and rotates once around its axis in about 16 h. (a) What is the gravitational force on a 5.0-kg object at the north pole of Neptune? (b) What is the apparent weight of this same object at Neptune’s equator? (Note that Neptune’s “surface” is gaseous, not solid, so it is impossible to stand on it.)
ANSWER:Solution Step 1 of 6 In the given problem, the acceleration due to gravity g=10.7m/s is given near north pole for neptune planet with mass M=1× 10 kg with radius r=2.5 × 10 km with time period for one rotation is t= 16 h. Here we need to calculate the gravitational force on m=5 kg object at the north pole and apparent weight of this object at equator.