Answer:
The velocity with which the stone strikes the water surface is 33.0 m/s (nearest tenth)
Explanation:
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Underwater caves in Florida are primarily formed due to the abundance of limestone layers just situated below the ground, forming the "Floridan Aquifer." Layers of these limestones are believed to be thousands of meters thick. When rainwater is being seeped into the ground, it softens the calcite present in limestones due to its acidic nature until it is dissolved. This leads to the formation of cavities and tunnels which eventually becomes an interconnected network of passages over time. As water continues flowing through these passages, which builds up from the bottom of these cavernous empty spaces, underwater caves are then formed. Therefore, the first choice is the answer.
Answer:
1.19cm^3 of glycerine
Explanation:
Let Vo= 150cm^3 for both aluminum and glycerine, using expansion formula:
Volume of spill glycerine = change in volume of glycerine - change in volume of aluminum
Volume of glycerine = coefficient of volume expansion of glycerine * Vo* change in temperature - coefficient of volume expansion of Aluminum*Vo* change temperature
coefficient of volume expansion of aluminum = coefficient of linear expansion of aluminum*3 = 23*10^-6 * 3 = 0.69*10^-4 oC^-1
Change in temperature = 41-23 = 18oC
Volume of glycerine that spill = (5.1*10^-4) - (0.69*10^-4) (150*18) = 4.41*10^-4*2700 = 1.19cm3
Answer:
the magnitude of the dog's total displacement to the nearest tenths = 53.12°
Explanation:
Given that:
a dog walks 8.0m due to the north and 6.0 m due east.
We can determine the magnitude of the dog's total displacement by using the Pythagoras theorem.
Consider the north direction be the opposite and the east direction to be the adjacent, therefore the hypotenuse will be the dog's total displacement.
So, suppose hypotenuse is represented by a
the opposite represented by b, and the adjacent represented by c
Then;
a² = b² + c²
a² = 8² + 6²
a² = 64 + 46
a² = 100
a =
a = 10.0 m
However, the magnitude of the dog's total displacement is calculated by taking the tangent of the system.
tan θ = opposite / adjacent
tan θ = b/c
tan θ = 8/6
tan θ = 4/3
tan θ = 1.333
θ = tan⁻¹ (1.333)
θ = 53.12
the magnitude of the dog's total displacement to the nearest tenths = 53.12°
Limiting factors are resources or other factors in the environment that can lower the population growth rate. ... The carrying capacity (K) is the maximum population size that can be supported in a particular area without destroying the habitat. Limiting factors determine the carrying capacity of a population.
