The free-fall acceleration on the surface of the Moon is about one-sixth that on the surface of the Earth. The radius of the Moon is about . Find the ratio of their average densities .
Thus, the required ratio of their average densities
An object at a distance h above the Earth’s surface experiences a gravitational force of magnitude mg, where g is the free-fall acceleration at that elevation:
And force is given by:
is the mass of the Earth and is its radius. Therefore, the weight of an object decreases as the object moves away from the Earth’s surface.
Let free fall acceleration of moon is .
Let free fall acceleration of earth is .
Radius of moon
it is Given that in question:
According to Concept, we have
Thus the required ratio of their average densities
Figure OQ14.1 shows aerial views from directly above two dams. Both dams are equally wide (the vertical dimension in the diagram) and equally high (into the page in the diagram). The dam on the left holds back a very large lake, and the dam on the right holds back a narrow river. Which dam has to be built more strongly? (a) The dam on the left (b) The dam on the right (c) Both the same (d) Cannot be predicted
Review: The tank in Figure P14.15 is filled with water of depth . At the bottom of one sidewall is a rectangular hatch of height and width that is hinged at the top of the hatch. (a) Determine the magnitude of the force the water exerts on the hatch. (b) Find the magnitude of the torque exerted by the water about the hinges.
The water supply for a city is often provided from reservoirs built on high ground. Water flows from the reservoir, through pipes, and into your home when you turn the tap on your faucet. Why does water flow more rapidly out of a faucet on the first floor of a building than in an apartment on a higher floor?
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