Answer:
All the objects experience the same acceleration
Explanation:
According to Newton's law of universal gravitation, we have the gravitational force F given by the relation;
Where;
G = The universal gravitational constant
M₁ = The mass of the Earth
m₂ = The mass of the object in the Earths gravitational field
R = The radius of the Earth
Therefore, we have;
Which gives;
Therefore, based on the above calculation, all three object will have the same acceleration due to gravity, g, when air resistance is ignored.
The potential drop increases as more cells are connected in series form.
In series circuit connection, the current across the cells is the same but the voltage varies.
When a circuit is connected to a single cell, the potential drop is given as;
where;
V is the potential drop
I is the current
r is the resistance
However, when two cells are connected in a row or serially, the total voltage drop is given as;
Thus, potential drop increases as more cells are connected in series form. The electricity in our homes and factories are connected in parallel form to reduce this voltage drop.
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Answer:
The new speed must be
Explanation:
In order for the satellite to be on a stable orbit around the planet, the gravitational attraction must be equal to the centripetal force that keeps the satellite in circular motion:
where G is the gravitational constant, M is the mass of the planet, m is the mass of the satellite, V0 the speed of the satellite at distance R from the center of the planet.
We can re-write V0, the initial satellite speed, by re-arranging the equation:
Now, if we want the satellite to orbit at a distance of 2R, the new tangential speed must be:
Answer:
346.01 × 10² Lux
Explanation:
Given:
luminance of the sun at zenith at sea level, Ls = 1600 × 10 cd/m²
The diameter of the sun's photosphere = 8.64 × 10 miles = 45.62 × 10⁸ ft
or
Radius, r =
or
r = 22.81 × 10⁸ ft
The distance from the sun to the earth = 92.9 × 10 miles = 49.05 x 10¹⁰ ft
Now,
Lumen = Luminance × 4πr²
or
Lumen = 1600 × 10 cd/m² × 4πr² .....................(1)
also,
Illumination =
on substituting lumen from 1
Illumination =
or
Illumination =
or
Illumination = 346.01 × 10² Lux