The ratio of the rotational kinetic energy about the center of the sphere and the total kinetic energy of the sphere is 2/7.
<h3>What is the
rotational kinetic energy of a sphere?</h3>
The rotational kinetic energy of the sphere is directly proportional to the square of angular acceleration.
Where,
= rotational inertia of sphere = 2/5MR²
Where 
is the mass of the sphere and 
is the radius of the sphere,
ω = angular acceleration of sphere = V/R
Where 
is the speed of the sphere.
So,
K = 1/2 × 2/5MR² × V²/R²
K = MV²/5
The translational kinetic energy of the sphere,
The total kinetic energy of the sphere,
So,
Thus the Ratio of rotational kinetic energy to total kinetic energy,
Therefore, the ratio of the rotational kinetic energy about the center of the sphere and the total kinetic energy of the sphere is 2/7.
Learn more about rotational kinetic energy:
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Answer:
a) v_{p} = 2.83 m / s
, b) 50.5º north east
Explanation:
This is a vector problem.
The speed of the ball with respect to the ground is the speed of the ball with respect to Mia plus the speed of Mia with respect to the ground
To make the sum we decompose the speed of the ball in its components
The angle of 30 east of the south, measured from the positive side of the x axis is
θ = 30 + 270 = 300
= 
cos 300
= v_{b} sin. 300
v_{bx} = 3.60 cos 300 = 1.8 m / s
v_{by} = 3.60 sin 300 = -3,118 m / s
Let's add speeds on each axis
X axis
vₓ = v_{bx}
vₓ = 1.8 m / s
Y Axis
= v1 - vpy
v_{y} = 5.30 - 3.118
v_{y} = 2.182 m / s
The magnitude of the velocity can be found using the Pythagorean theorem
= √ (vₓ² + v_{y}²)
v_{p} = √ (1.8² + 2.182²)
v_{p} = 2,829 m / s
v_{p} = 2.83 m / s
b) for direction use trigonometry
tan θ = / vₓ
θ = tan ⁺¹ v_{y} / vₓ
θ = tan⁻¹ 2.182 / 1.8
Tea = 50.48º
This address is 50.5º north east
Answer:
Yes, the sugar molecules produced from photosynthesis can be rearranged into different compounds to carry out life processes such energy producing compounds, energy storage compounds, body building compounds, and compounds of other types of food
Explanation:
a) The sugar can be broken down in a plant cell to produce ATP and then energy through cellular respiration as follows;
C₆H₁₂O₆ + O₂ 6CO₂ + 6H₂O + ATP
The produced energy can be used as power for cellular activities, such as the synthesis of protein and cell division
b) The produced sugar can be linked together by enzymes to form starch which is a form of chemical storage of energy as follows;
Sugar C₆H₁₂O₆ transformed into starch (C₆H₁₀O₅)ₙ
c) The sugar can be used in building the plant body by forming cellulose which is a form of starch
d) The sugar can be transformed into proteins and fat which are other types of food such as compounds containing sugar produces compounds containing fat based compounds
If one reverse the orientation of a permanent magnet ITS MAGNETIZATION WILL BE PERMANENTLY REVERSED. This is because, the magnetic domains inside the permanent magnet aligned with the new applied field and increase with it while those domains that are anti aligned with that field will shrink.
The air movements toward the equator are called trade winds, which are warm, steady breezes that blowalmost continuously. The Coriolis Effect makes the trade winds appear to be curving to the west, whether they are traveling to the equator from the south or north. Answer trade wind
