The density of ocean water increases when it
2 answers:
Answer: The correct answer is b. gets older.
Explanation: Density is defined as ratio of mass and volume.
Mathematically,
We know that volume is directly related to temperature.
When the temperature of the substance increases, particles gets separated and this results in the increase of volume.
When the temperature of the substance decreases, the particles come closer to each other, resulting in the decrease of volume.
From the above relation, we conclude that the temperature is inversely related to density.
As the temperature gets colder, it results in the increase in the density. Hence, the correct option is b.
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The speed of the rock at 20 m is 34.3 m/s
Explanation:
We can solve this problem by using the law of conservation of energy: the mechanical energy of the rock, sum of its potential energy + its kinetic energy) must be conserved in absence of air resistance. So we can write:
where :
is the initial potential energy
is the initial kinetic energy
is the final potential energy
is the final kinetic energy
The equation can also be rewritten as follows:
where:
m = 100 kg is the mass of the rock
is the acceleration of gravity
is the initial height
u = 0 is the initial speed (the rock starts at rest)
is the final height of the rock
v is the final speed when h = 20 m
And solving for v, we find:
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Answer:
(4) weight
Explanation:
The centripetal force acting on the space shuttle in orbit is given by:
where
m is the mass of the shuttle
v is the tangential speed of the shuttle
r is the radius of its circular orbit
When the shuttle orbits the Earth, the centripetal force that keeps the shuttle in circular motion is given by the gravitational attraction between the shuttle and the Earth, which corresponds to the weight of the shuttle, and it is given by:
where
G is the gravitational constant
M is the Earth's mass
And this force, therefore, corresponds to the centripetal force.