At their closest approach, Venus and Earth are 4.20 × 10 10 m apart. The mass of Venus is 4.87 × 10 24 kg, the mass of Earth is
1 answer:
Answer:
Explanation:
The magnitude of the gravitational force between two objects is given by :
where :
is the gravitational constant
m1, m2 are the masses of the two objects
r is the separation between them
In this problem:
is the distance between Venus and the Earth
is Venus mass
is the Earth's mass
Substituting, we find the gravitational force between the two planets:
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The electron is accelerated through a potential difference of 
, so the kinetic energy gained by the electron is equal to its variation of electrical potential energy:
where
m is the electron mass
v is the final speed of the electron
e is the electron charge
is the potential difference
Re-arranging this equation, we can find the speed of the electron before entering the magnetic field:
Now the electron enters the magnetic field. The Lorentz force provides the centripetal force that keeps the electron in circular orbit:
where B is the intensity of the magnetic field and r is the orbital radius. Since the radius is r=25 cm=0.25 m, we can re-arrange this equation to find B:
where
m is the electron mass
v is the final speed of the electron
e is the electron charge
Re-arranging this equation, we can find the speed of the electron before entering the magnetic field:
Now the electron enters the magnetic field. The Lorentz force provides the centripetal force that keeps the electron in circular orbit:
where B is the intensity of the magnetic field and r is the orbital radius. Since the radius is r=25 cm=0.25 m, we can re-arrange this equation to find B: