Answer:
-2.26×10^-4 radians
Explanation:
The solution involves a right angle triangle
Length is z while the horizontal is the height x
X^2+ 100^2=z^2
Taking the derivatives
2x(dx/dt)=Z^2(dz/dt)
Specific moments = Z= 200 ,X= 100sqrt3 and dx/dt= 11
dz/dt= 1100sqrt3/200 = 9.53
Sin a= 100/a
Taking derivatives in terms of t
Cos a(da/dt)=100/z^2 dz/dt
a= 30°
Cos (30°)da/dt= (-100/40000×9.5)
a= -2.26×10^-4radians
The heat is transferred to one material to another, however insulators minimize that transfer, keeping it in the area, warming it.
Answer:
These are the two statements with scientific facts that explain the described phenomenon
<span>
Gravitation between two objects increases when the distance between them decreases.</span>
When the mass of an object increases, its gravitational pull also increases.
Justification:
Those two facts are represented in the Universal Law of Gravity discovered by the scientific Sir Isaac Newton (1642 to 1727) and published in his book <span>Philosophiae naturalis principia mathematica.</span>
That law is represented by the equation:
F = G × m₁ × m₂ / d²
The product of the two masses on the numerator accounts for the fact that the gravitational force is directly proportional to the product of the masses, which is that as the masses increase the attraction also increase.
The term d² (square of the distance that separates the objects) in the denominator accounts for the fact that the gravitational force is inversely proportional to the square of the distance; that is as the separation of the objects increase the gravitational force decrease.
The large leaves help it survive as they serve as the<u> organ for photosynthesis.</u>
Explanation:
- Photosynthesis, the process by which green plants and certain other organisms transform light energy into chemical energy.
- During photosynthesis in green plants, light energy is captured and used to convert water, carbon dioxide, and minerals into oxygen and energy-rich organic compounds
- Leaves provide food and air to help a plant stay healthy and grow. Through photosynthesis, leaves turn light energy into food.
- Through pores, or stomata, leaves breathe in carbon dioxide and breathe out oxygen. Leaves also release excess water.
- Most leaves are broad and so have a large surface area allowing them to absorb more light
- A thin shape means a short distance for carbon dioxide to diffuse in and oxygen to diffuse out easily.
- The exchange of oxygen and carbon dioxide in the leaf occurs through pores called stomata.
- Normally stomata open when the light strikes the leaf in the morning and close during the night.
Answer:
Explanation:
Given that:
angular frequency = 11.3 rad/s
Spring constant (k) = 
k = (11.3)² m
k = 127.7 m
where;
= 0.065 m
= 0.048 m
According to the conservation of energies;
∴
