The gravitational force between the Sun (mass = 1.99 × 1030 kg) and Mercury (mass = 3.30 × 1023 kg) is 8.99 × 1021 N. How far is
2 answers:
Answer : Distance, d=6.98 × 10⁷ Km
Explanation :
Given that,
Mass of the sun, m₁ = 1.99 × 10³⁰ kg
Mass of Mercury, m₂ = 3.30 × 10²³ kg
Gravitational force between the sun and mercury, F = 8.99 × 10²¹ N
According to Universal law of gravitation,
d is the distance of mercury from the sun
or
So, mercury is far from the sun.
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Answer:
Explanation:
Time taken to complete one revolution is called time period.
So, Time period, T = 1 s
Diameter = 1.6 mm
radius, r = 0.8 mm
Let the angular speed is ω.
The relation between angular velocity and the time period is
ω = 2 x 3.14 = 6.28 rad/s
The relation between the linear velocity and the angular velocity is
v = r x ω
v = 0.8 x 10^-3 x 6.28
v = 0.005 m/s
The drag force is directly proportional to the square of the velocity of motion of the object. So as the speed is doubled, the magnitude of drag force will get quadrupled.
<u>Explanation: </u>
Drag force is the opposing or resisting force acting on any object by the medium in which it is moving. So in this case, you are riding a bicycle, thus the medium can be considered as air.
The formula for calculating drag force is as below:
Here, ρ is the density of the air molecules, v is the velocity or speed of the bicycle, CD is the drag coefficient and A is the area of the bicycle.
In the above equation, only the term velocity will be a varying quantity with respect to time and other quantities will remain constant throughout the single situation of riding of bicycle.
So, the equation can be,
Where ,
(constant for this whole condition)
Now given the speed of bicycle increased from v to 2v, so the initial drag force will be
After increase in speed, the final drag force will be
Thus, if the speed of the bicycle is doubled, the drag force will get increased by four times.