The primary source would be the original article published in a scientific journal. All other choices would be based on information from the original article.
Newspapers would only pick up the information from the journal itself, or from the authors. Books follow after the original article, after it has gained momentum among the research community. The public lecture at a museum would be based on work from the journal article.
Light energy is defined as how nature moves energy at an extremely rapid rate, and it makes up about 99% of the body's atoms and cells, and signal all body parts to carry out their respective tasks. An example of light energy is the movement of a radio signal.
Answer:
![\Delta K = 52J](https://tex.z-dn.net/?f=%5CDelta%20K%20%3D%2052J)
Explanation:
The change in kinetic energy will be simply the difference between the final and initial kinetic energies: ![\Delta K=K_f-K_i](https://tex.z-dn.net/?f=%5CDelta%20K%3DK_f-K_i)
We know that the formula for the kinetic energy for an object is:
![K=\frac{mv^2}{2}](https://tex.z-dn.net/?f=K%3D%5Cfrac%7Bmv%5E2%7D%7B2%7D)
where <em>m </em>is the mass of the object and <em>v</em> its velocity.
For our case then we have:
![\Delta K = K_f-K_i=\frac{mv_f^2}{2}-\frac{mv_i^2}{2}=\frac{m(v_f^2-v_i^2)}{2}](https://tex.z-dn.net/?f=%5CDelta%20K%20%3D%20K_f-K_i%3D%5Cfrac%7Bmv_f%5E2%7D%7B2%7D-%5Cfrac%7Bmv_i%5E2%7D%7B2%7D%3D%5Cfrac%7Bm%28v_f%5E2-v_i%5E2%29%7D%7B2%7D)
Which for our values is:
![\Delta K = \frac{m(v_f^2-v_i^2)}{2} = \frac{(26Kg)((2m/s)^2-(0m/s)^2)}{2} = 52J](https://tex.z-dn.net/?f=%5CDelta%20K%20%3D%20%5Cfrac%7Bm%28v_f%5E2-v_i%5E2%29%7D%7B2%7D%20%3D%20%5Cfrac%7B%2826Kg%29%28%282m%2Fs%29%5E2-%280m%2Fs%29%5E2%29%7D%7B2%7D%20%3D%2052J)
Answer:
The gravitational force between m₁ and m₂, is approximately 1.06789 × 10⁻⁶ N
Explanation:
The details of the given masses having gravitational attractive force between them are;
m₁ = 20 kg, r₁ = 10 cm = 0.1 m, m₂ = 50 kg, and r₂ = 15 cm = 0.15 m
The gravitational force between m₁ and m₂ is given by Newton's Law of gravitation as follows;
![F =G \cdot \dfrac{m_{1} \cdot m_{2}}{r^{2}}](https://tex.z-dn.net/?f=F%20%3DG%20%5Ccdot%20%5Cdfrac%7Bm_%7B1%7D%20%5Ccdot%20m_%7B2%7D%7D%7Br%5E%7B2%7D%7D)
Where;
F = The gravitational force between m₁ and m₂
G = The universal gravitational constant = 6.67430 × 10⁻¹¹ N·m²/kg²
r₂ = 0.1 m + 0.15 m = 0.25 m
Therefore, we have;
![F = 6.67430 \times 10^{-11} \ N \cdot m^2/kg \times \dfrac{20 \ kg\times 50 \ kg}{(0.1 \ m+ 0.15 \ m)^{2}} \approx 1.06789 \times 10^{-6} \ N](https://tex.z-dn.net/?f=F%20%3D%206.67430%20%5Ctimes%2010%5E%7B-11%7D%20%5C%20N%20%5Ccdot%20m%5E2%2Fkg%20%5Ctimes%20%5Cdfrac%7B20%20%5C%20kg%5Ctimes%2050%20%5C%20kg%7D%7B%280.1%20%5C%20m%2B%200.15%20%5C%20m%29%5E%7B2%7D%7D%20%5Capprox%201.06789%20%5Ctimes%2010%5E%7B-6%7D%20%5C%20N)
The gravitational force between m₁ and m₂, F ≈ 1.06789 × 10⁻⁶ N
Answer:
s = 30330.7 m = 30.33 km
Explanation:
First we need to calculate the speed of sound at the given temperature. For this purpose we use the following formula:
v = v₀√[T/273 k]
where,
v = speed of sound at given temperature = ?
v₀ = speed of sound at 0°C = 331 m/s
T = Given Temperature = 10°C + 273 = 283 k
Therefore,
v = (331 m/s)√[283 k/273 k]
v = 337 m/s
Now, we use the following formula to calculate the distance traveled by sound:
s = vt
where,
s = distance traveled = ?
t = time taken = 90 s
Therefore,
s = (337 m/s)(90 s)
<u>s = 30330.7 m = 30.33 km</u>