Answer:
the mass of the body is 0.02 kg.
Explanation:
Given;
relative density of the oil,
= 0.875
mass of the object in oil,
= 0.013 kg
mass of the object in water,
= 0.012 kg
let the mass of the object in air = ![M_a](https://tex.z-dn.net/?f=M_a)
weight of the oil, ![W_0 = M_a - 0.013](https://tex.z-dn.net/?f=W_0%20%3D%20M_a%20-%200.013)
weight of the water, ![W_w = M_a - 0.012](https://tex.z-dn.net/?f=W_w%20%3D%20M_a%20-%200.012)
The relative density of the oil is given as;
![\gamma_0 = \frac{density \ of \ oil }{density \ of \ water} = \frac{W_0}{W_w} = \frac{M_a -0.013}{M_a -0.012} \\\\0.875 = \frac{M_a -0.013}{M_a -0.012}\\\\0.875(M_a - 0.012) = M_a - 0.013\\\\0.875M_a - 0.0105 = M_a -0.013\\\\0.875M_a - M_a = 0.0105 - 0.013\\\\-0.125 M_a = -0.0025\\\\M_a = \frac{0.0025}{0.125} \\\\M_a = 0.02 \ kg](https://tex.z-dn.net/?f=%5Cgamma_0%20%3D%20%5Cfrac%7Bdensity%20%5C%20of%20%5C%20oil%20%7D%7Bdensity%20%5C%20of%20%5C%20water%7D%20%3D%20%5Cfrac%7BW_0%7D%7BW_w%7D%20%3D%20%5Cfrac%7BM_a%20-0.013%7D%7BM_a%20-0.012%7D%20%5C%5C%5C%5C0.875%20%3D%20%5Cfrac%7BM_a%20-0.013%7D%7BM_a%20-0.012%7D%5C%5C%5C%5C0.875%28M_a%20-%200.012%29%20%3D%20M_a%20-%200.013%5C%5C%5C%5C0.875M_a%20-%200.0105%20%3D%20M_a%20-0.013%5C%5C%5C%5C0.875M_a%20-%20M_a%20%3D%200.0105%20-%200.013%5C%5C%5C%5C-0.125%20M_a%20%3D%20-0.0025%5C%5C%5C%5CM_a%20%3D%20%5Cfrac%7B0.0025%7D%7B0.125%7D%20%5C%5C%5C%5CM_a%20%3D%200.02%20%5C%20kg)
Therefore, the mass of the body is 0.02 kg.
The new magnitude of the force of attraction will be 6 times the original force of attraction
<h3>How to determine the initial force </h3>
- Mass 1 = m₁
- Mass 2 = m₂
- Gravitational constant = G
- Distance apart = r
- Initial force (F₁) = ?
F = Gm₁m₂ / r²
F₁ = Gm₁m₂ / r²
<h3>How to determine the new force </h3>
- Mass 1 = 2m₁
- Mass 2 = 3m₂
- Gravitational constant = G
- Distance apart (r) = r
- New force (F₂) =?
F = Gm₁m₂ / r²
F₂ = G × 2m₁ × 3m₂ / r²
F₂ = 6Gm₁m₂ / r²
But
F₁ = Gm₁m₂ / r²
Therefore
F₂ = 6Gm₁m₂ / r²
F₂ = 6F₁
Thus, the new magnitude of the force of attraction will be 6 times the original force of attraction
Learn more about gravitational force:
brainly.com/question/21500344
#SPJ1
Metallic bonds! Hope this helps!! :))
Answer:
The frequency , speed and wavelength of an electromagnetic wave are related by the formula
Speed = frequency x wavelength
frequency = speed / wavelength
substituting the values
frequency = 3 x #10 ^8# m /s / 1 x #10^15# m
= 3 x #10^-7# /s