![\large{ \boxed{ \bf{ \color{red}{Universal \: law \: of \: gravitation}}}}](https://tex.z-dn.net/?f=%20%5Clarge%7B%20%5Cboxed%7B%20%5Cbf%7B%20%5Ccolor%7Bred%7D%7BUniversal%20%5C%3A%20law%20%5C%3A%20of%20%5C%3A%20gravitation%7D%7D%7D%7D)
Every object in the universe attracts every other object with a force which is proportional to the product of their masses and inversely proportional to the square of the distance between them. The forces along the line joining the centre of the two objects.
❍ Let us consider two masses m1 and m2 line at a separation distance d. Let the force of attraction between the two objects be F.
According to universal law of gravitation,
![\large{ \longrightarrow{ \rm{F \propto m_1 m_2}}}](https://tex.z-dn.net/?f=%20%5Clarge%7B%20%5Clongrightarrow%7B%20%5Crm%7BF%20%5Cpropto%20m_1%20m_2%7D%7D%7D)
Also,
![\large{ \longrightarrow{ \rm{ F \propto \dfrac{1}{ {d}^{2} } }}}](https://tex.z-dn.net/?f=%20%5Clarge%7B%20%5Clongrightarrow%7B%20%5Crm%7B%20F%20%5Cpropto%20%20%5Cdfrac%7B1%7D%7B%20%7Bd%7D%5E%7B2%7D%20%7D%20%7D%7D%7D)
Combining both, We will get
![\large{ \longrightarrow{ \rm{F \propto \dfrac{ m_1 m_2}{ {d}^{2}}}}}](https://tex.z-dn.net/?f=%20%5Clarge%7B%20%5Clongrightarrow%7B%20%5Crm%7BF%20%20%5Cpropto%20%20%5Cdfrac%7B%20m_1%20m_2%7D%7B%20%7Bd%7D%5E%7B2%7D%7D%7D%7D%7D%20)
Or, We can write it as,
![\large{ \longrightarrow{ \rm{F \propto \: G \dfrac{ m_1 m_2}{ {d}^{2} }}}}](https://tex.z-dn.net/?f=%20%5Clarge%7B%20%5Clongrightarrow%7B%20%5Crm%7BF%20%20%5Cpropto%20%20%5C%3A%20%20G%20%5Cdfrac%7B%20m_1%20m_2%7D%7B%20%7Bd%7D%5E%7B2%7D%20%7D%7D%7D%7D)
Where, G is the constant of proportionality and it is called 'Universal Gravitational constant'.
☯️ Hence, derived !!
<u>━━━━━━━━━━━━━━━━━━━━</u>
Density reduces
Explanation:
The density of a fluid will reduce as a substance gains more thermal energy. Heat is a form of thermal energy usually noticed as temperature differences in a matter.
- When thermal energy is gained by a body, the temperature of the body rises.
- The particles of the medium gains more kinetic energy.
- This causes the substance to expand and it has more volume.
- When a substance expands, it occupies more space.
- The more the volume a body occupies, the lesser the density.
- Expansion does not change the mass of the fluid but the volume changes.
- This is why density decreases.
Learn more:
Density brainly.com/question/8441651
#learnwithBrainly
Answer:
A) greater
Explanation:
acceleration is calculated by dividing velocity over time..so by calculating, you find acceleration of A is greater than that of B
From the geometry of the problem, the 20 m-long cable creates
the hypotenuse of a right triangle, with the extended of the other two sides of
size 20 m * cos(30 deg), which is around 17.3 m. Therefore, the ball has increased
by 20 m - 17.3 m = 2.7 m.
The potential energy will have altered by m*g*h, which is 1400 kg * 9.8 m/s^2 *
1.6 m , or about 37044 joules.
300N/25 kg= divide them for the answer