The acceleration due to gravity at the north pole of Neptune is approximately 11.2 m/s2. Neptune has mass 1.02×1026 kg and radiu
s 2.46×104 km and rotates once around its axis in a time of about 16 h.
a)What is the gravitational force on a 4.60-kg object at the north pole of Neptune? Express your answer with the appropriate units.
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.) Express your answer with the appropriate units.
a)What is the gravitational force on a 4.60-kg object at the north pole of Neptune? Express your answer with the appropriate units.
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.) Express your answer with the appropriate units.
1 answer:
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Answer:
The speed of the cat when it hits the ground is approximately 7.586 meters per second.
Explanation:
By Principle of Energy Conservation and Work-Energy Theorem, we have that initial potential gravitational energy of the cat (), in joules, is equal to the sum of the final translational kinetic energy (
), in joules, and work losses due to air resistance (
), in joules:
(1)
By definition of potential gravitational energy, translational kinetic energy and work, we expand the equation presented above:
(2)
Where:
- Mass of the cat, in kilograms.
- Gravitational acceleration, in meters per square second.
- Initial height of the cat, in meters.
- Final speed of the cat, in meters per second.
If we know that ,
,
and
, then the final speed of the cat is:
The speed of the cat when it hits the ground is approximately 7.586 meters per second.