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Answer:
In both cases the height is greater than 10.3 m
Explanation:
Pressure is defined by the relationship
P = F / A
in this case the force is the weight of the two gases
F = W = m g
If we use the definition of density
ρ = m / V
V = A h
m = ρ A h
we substitute
P = ρ g h
h =
For this case the density of the gases is
ρ' = 0.9
h =
we calculate
ρ’= 0.9 \rho_{water}
h = 1 105 / (0.9 1000 9.8)
h = 11.3 m
ρ’= 0.8 \rho_{water}
h = 1 105 / (0.8 1000 9.8
h = 12.8 m
In both cases the height is greater than 10.3 m
The two forces of gravity are equal
Explanation:
We can answer this question by applying Newton's third law of motion, which states that:
"When an object A exerts a force (called action) on an object B, then object B exerts an equal and opposite force (called reaction) on object A"
In this problem, we can identify the Sun as object A and the Earth as object B. This means that the force of gravity exerted by the Sun on the Earth is the action, while the force of gravity exerted by the Earth on the Sun is the reaction: according to Newton's third law, these two forces are equal and opposite.
Therefore, the two forces of gravity are equal in magnitude, which is given by:
where
G is the gravitational constant
M is the mass of the Sun
m is the mass of the Earth
r is the separation between the Earth and the Sun
Learn more about Newton's third law:
#LearnwithBrainly
Answer:
Potential energy = 73.575 kJ
Kinetic energy = 135kJ
Total mechanical energy = 208.575 kJ
Explanation:
The potential energy of a body is given by the expression, PE = mgh, where m is the mass of the body, g is the acceleration due to gravity value and h is the height of the body.
The kinetic energy of a body is given by , where v is the velocity and m is the mass of body.
Total mechanical energy = Kinetic energy + Potential energy
PE = mgh = 75*9.81*100 = 73575 J = 73.575 kJ
Total mechanical energy = Kinetic energy + Potential energy = 135+73.575
= 208.575 kJ