Firstly models are just predictors, they are not exact models. Exponential growth <span>models are good when populations are small relative to the amount of resources available. ... This is where the </span>exponential<span> model breaks down. The </span>logistic<span> function tries to compensate for this with the carrying capacity.</span>
Answer: 2.86 m
Explanation:
To solve this question, we will use the law of conservation of kinetic and potential energy, which is given by the equation,
ΔPE(i) + ΔKE(i) = ΔPE(f) + ΔKE(f)
In this question, it is safe to say there is no kinetic energy in the initial state, and neither is there potential energy in the end, so we have
mgh + 0 = 0 + KE(f)
To calculate the final kinetic energy, we must consider the energy contributed by the Inertia, so that we then have
mgh = 1/2mv² + 1/2Iw²
To get the inertia of the bodies, we use the formula
I = [m(R1² + R2²) / 2]
I = [2(0.2² + 0.1²) / 2]
I = 0.04 + 0.01
I = 0.05 kgm²
Also, the angular velocity is given by
w = v / R2
w = 4 / (1/5)
w = 20 rad/s
If we then substitute these values in the equation we have,
0.5 * 9.8 * h = (1/2 * 0.5 * 4²) + (1/2 * 0.05 * 20²)
4.9h = 4 + 10
4.9h = 14
h = 14 / 4.9
h = 2.86 m
Ep is gravitational potential energy
m is mass (kg)
g is gravitational field strength (N/kg)
h is height (m)
Ep= mgh
= 80kg*9.8N/kg*100m
= 78 400 J
Considering the volume of a rectangle, the volume of the tissue box is 3,239.1 cm³.
<h3>What is volume</h3>
Volume is a scalar-type metric quantity that is defined as the extension in three dimensions of a region of space. In other words, the volume corresponds to the space that the shape occupies.
<h3>Volume of a rectangle</h3>
To calculate the volume of a rectangle, it is necessary to multiply its 3 dimensions: length ×width×height. Volume is expressed in cubic units.
<h3>Volume of the tissue box</h3>
In this case, you know:
- Length: 11.8 cm
- Width: 12.2 cm
- Height: 22.5 cm
Replacing in the definition of volume of a rectangle:
Volume of the tissue box= length ×width×height
Volume of the tissue box= 11.8 cm× 12.2 cm× 22.5 cm
Solving:
<u><em>Volume of the tissue box= 3,239.1 cm³</em></u>
Finally, the volume of the tissue box is 3,239.1 cm³.
Learn more about volume:
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Answer:
A rise in temperature increases the kinetic energy and speed of particles; it does not weaken the forces between them. The particles in solids vibrate about fixed positions; even at very low temperatures. Individual particles in liquids and gases have no fixed positions and move chaotically.
Explanation:
