Two objects attract each other with a gravitational force of a magnitude when separated by 20.0 cm. If the total mass of the two objects is 5.00 kg, what is the mass of each?
The masses of objects are and .
Newton’s law of universal gravitation states that the gravitational force of attraction between any two particles of masses and separated by a distance r has the magnitude:
Where, is the universal gravitational constant. This equation enables us to calculate the force of attraction between masses under many circumstances.
Distance between two objects:
We find the reason for the above question by finding the mass of sphere.
Let suppose the first mass is and the other mass will be
According to Newton’s law of universal gravitation, we have
On simplifying and solving, we get,
Hence, the masses of objects are and .
Question: One of the predicted problems due to global warming is that ice in the polar ice caps will melt and raise sea levels everywhere in the world. Is that more of a worry for ice (a) At the North Pole, where most of the ice floats on water (b) At the South Pole, where most of the ice sits on land; (c) Both at the north and south pole equally; or (d) At neither pole?
Why is the following situation impossible? A barge is carrying a load of small pieces of iron along a river. The iron pile is in the shape of a cone for which the radius of the base of the cone is equal to the central height h of the cone. The barge is square in shape, with vertical sides of length , so that the pile of iron comes just up to the edges of the barge. The barge approaches a low bridge, and the captain realizes that the top of the pile of iron is not going to make it under the bridge. The captain orders the crew to shovel iron pieces from the pile into the water to reduce the height of the pile. As iron is shoveled from the pile, the pile always has the shape of a cone whose diameter is equal to the side length of the barge. After a certain volume of iron is removed from the barge, it makes it under the bridge without the top of the pile striking the bridge.
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