Answer:
Gravitational potential Energy change of the ball after, 10m= 98J
Explanation:
A 1 kg ball is dropped from the top of a cliff and falls with a constant acceleration due to gravity (9.8 m/s2). Assume that effects of air resistance can be ignored. a.) By how much has the ball's gravitational potential energy changed after it has fallen by 10 m
Gravitational Potential Energy: This is the energy a body posses by virtue of it's position in a gravitational field. It is measured in Joules.
Gravitational potential Energy = Mass(m) × acceleration due to gravity (g) × Height(h) = mgh
Where m = 1kg, g = 9.8 m/s², h =10 m
∴ Gravitational potential Energy change of the ball after, 10m = 1 × 9.8 × 10 = 98 J
Answer:
h = h₀/2, the liquid column rises half the height
Explanation:
Pressure is defined as force per area,
P = F / A
in a barometer the force is the weights of the liquid column
F = W = mg
P = m g/A
if we use the definition of density
ρ =
= ρ h
we substitute
P = ρ g h
Let's use the index o for the mercury
P₀ = ρ₀ g h₀
when we change the liquid for another with
ρ = 2ρ₀
the pressure expression is
P = 2ρ₀ g h
in the problem they indicate that the pressure is equal to the initial P = P₀
we substitute
ρ₀ g h₀ = 2ρ₀ g h
h₀ = 2h
h = h₀/2
the liquid column rises half the height
Answer:
A material that contains three elements joined in a fixed proportion will be a <u><em>compound.</em></u>
Explanation:
An element can be described as a substance that is made of only one kind of atom.
<em>On the other hand, a compound can be described as a substance that is made up of more than one atom or elements. A compound can contain fixed proportions of each element that it is made of or it can even contain different proportions of each element. </em>
For example, carbon dioxide is a compound which will always contain 12 grams of carbon for every 32 grams of oxygen.
Organisms overproduce offspring, so only some survive and pass on their traits.
Natural selection is the fitting of a population to its environment.
Explanation:
Most organisms produce more than two or more offspring in their lifetime. Therefore the subsequent generations ideally have more individuals than the previous. However, naturally, the population size does not grow indefinitely. This is because some individuals do not survive to pass their genes to the next generation. Natural selection chooses the best fit individuals to habitat, and these live long enough to pass their traits to the next generation. Natural selection powers the evolution of a population even as environment changes
Learn More:
For more on natural selection check out;
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The latitude and longitude for Washington D.C. is 38.9072° N, 77.0369° W.