Which condition describes an object having terminal velocity?
2 answers:
Answer:
C. Gravity = air resistance
Explanation:
An object falling down has two forces acting on him:
- Gravity, which acts downward --> the magnitude of this force is constant (equal to , where m is the mass of the object and g is the gravitational acceleration)
- Air resistance, which acts upward --> the magnitude of this force is directly proportional to v, the speed of the object
When the object starts its fall, the speed is zero (v=0) so only gravity acts and it accelerates the object downward. Therefore, the speed of the object increases, and so does the air resistance, until a point where the air resistance becomes equal to gravity (which is constant): when this occurs, the acceleration of the object becomes zero (because forces are balanced), so the object continues its fall at constant velocity, called terminal velocity.
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Answer:
The orbital period of the planet would be half that of the earth
Explanation:
From the question we are told that
The mass of star is four times the mass of sun which can be mathematically represented as
Mathematically gravitational potential is given as
Where M is mass one
m is mass two
From this equation we see that the attraction force is directly proportional to the mass of the star
Thus we can say that
The centrifugal force that balances this attraction Force is
Where is the centrifugal acceleration which can be mathematically represented as
and m is the mass
Substituting this into the equation for centrifugal force
substituting into the equation above
Given that the diameter is the same and assuming that the mass is constant
Then
Take square root of both sides