The absolute uncertainty in the volume of the cube is 0.06 m³.
We need to know about the uncertainty of measurement to solve this problem. The uncertainty of cube volume can be determined by
V = s³
|ΔV| = dV/ds x Δs
where V is volume, s is length, ΔV is uncertainty in the volume and Δs is the uncertainty of length.
From the question above, we know that
s = 1.00 m
Δs = 2% of s = 2/100 x 1 = 0.02 m
By using the uncertainty of volume formula, we get
|ΔV| = dV/ds x Δs
|ΔV| = d(s³)/ds x Δs
|ΔV| = 3s² x Δs
|ΔV| = 3. 1² x 0.02
|ΔV| = 0.06 m³
Hence, the uncertainty in the volume is 0.06 m³.
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The radius of its orbit, measured from Earth's center, will be 1.44 × 10⁷ mm.
<h3>What is Newton's law of gravitation?</h3>
Newton's law of gravity states that each particle having mass in the universe attracts each other particle with a force known as the gravitational force.
Given data in problem is;
The mass of Earth is, 
Gravitational constant, G =6.674 × 10⁻¹¹ N m₂/kg²
The gravitational force is proportional to the product of the masses of the two bodies and inversely proportional to the square of their distance.
The centripetal force due to rotation of the satellite;
The centripetal and the gravitational force are equal;
![\rm F_g = F_c \\\\ \frac{Gm_sm_e}{r^2} = \frac{m_s v^2}{r} \\\\ r = G \frac{m_E }{v^2 } \\\\ r = G \frac{m_E }{(r \omega )^2 } \\\\ r = \sqrt[3]{\frac{Gm_E}{\omega^2}} \\\\ r = \sqrt[3]{\frac{6.67 \times 10^{-11}(5.98 \times 10^{24})}{(3.63 \times 10^{-4})^2}} \\\\ r = 1.44 \times 10^7 \ mm](https://tex.z-dn.net/?f=%5Crm%20F_g%20%3D%20F_c%20%20%5C%5C%5C%5C%20%20%5Cfrac%7BGm_sm_e%7D%7Br%5E2%7D%20%3D%20%20%5Cfrac%7Bm_s%20v%5E2%7D%7Br%7D%20%5C%5C%5C%5C%20r%20%3D%20G%20%5Cfrac%7Bm_E%20%7D%7Bv%5E2%20%7D%20%5C%5C%5C%5C%20r%20%3D%20G%20%5Cfrac%7Bm_E%20%7D%7B%28r%20%5Comega%20%29%5E2%20%7D%20%5C%5C%5C%5C%20r%20%3D%20%5Csqrt%5B3%5D%7B%5Cfrac%7BGm_E%7D%7B%5Comega%5E2%7D%7D%20%5C%5C%5C%5C%20r%20%3D%20%5Csqrt%5B3%5D%7B%5Cfrac%7B6.67%20%5Ctimes%2010%5E%7B-11%7D%285.98%20%5Ctimes%2010%5E%7B24%7D%29%7D%7B%283.63%20%5Ctimes%2010%5E%7B-4%7D%29%5E2%7D%7D%20%5C%5C%5C%5C%20r%20%3D%201.44%20%5Ctimes%2010%5E7%20%20%20%5C%20mm)
Hence, the radius of its orbit measured from Earth's center will be 1.44 × 10⁷ mm.
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Answer: Solid
Explanation: There are 3 major state of matter - solid, liquid and gas.
Among the 3 state, solid has a fixed volume while liquid takes the volume of its container. When gas is compressed, it takes the volume of its container likewise.
Answer:
The volume of the block is equal to the volume of water displaced by the block.
Explanation:
Volume refers to the amount of space occupied by a given object (in this case the block). When an object such as the block is immersed in water, it displaces its own volume of water. This volume of water displaced is equal to the volume of the block. Hence we can write;
Final Volume of water - Initial Volume of water= Water Displaced = Volume of the block
Recall that the density of a body is given by;
Density= mass/volume
If we obtain the volume of the block by measuring the volume of water displaced by the block, then we weigh the block using a weighing balance, we can obtain the density of the block easily from the relationship shown above.
