Answer:
Explanation:
From the attached diagram below:
AC = a (1 + e) = R₂ -------- equation (1)
CD = a ( 1 - e) = R₁ --------- equation (2)
⇒ 1 - e =
Replacing the value for e into equation (1)
From Kepler's third law;
eight points are in/on the circle of radius 10cm. show that distance between some two points is less than 1cm.
1 answer:
Here we have shown that the distance between some two points is less than 1cm, in the circle of radius of 10 cm.
considering the points be p₁,p₂,…,p₈, now placing the point p8 at the center of the circle and the other seven points on the circle's periphery, at equal distances. we can see we have seven points in the periphery and one single point in the center. after joining the seven points, we get a heptagon having its side equal in length. The length of the side of the heptagon is less than 2π/7, which is almost less than 1 cm. if we replace the position of any points come up with a pair of points that are apart from each from a length that is less than 1 cm
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Taking into account the definition of density, the volume of the metal block is 3 m³.
<h3>What is density</h3>Density is defined as the property that matter, whether solid, liquid or gas, has to compress into a given space.
In other words, density is a quantity that allows us to measure the amount of mass in a certain volume of a substance.
Then, the expression for the calculation of density is the quotient between the mass of a body and the volume it occupies:
From this expression it can be deduced that density is inversely proportional to volume: the smaller the volume occupied by a given mass, the higher the density.
<h3>Volume of the metal block</h3>In this case, you know that:
- Density= 5000
- Mass= 15000 kg
- Volume= ?
Replacing in the definition of density:
Solving:
volume×5000 = 15000 kg
volume=
<u><em>volume= 3 m³</em></u>
In summary, the volume of the metal block is 3 m³.
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