A particle is leaving the Moon in a direction that is radially outward from both the Moon and Earth.

What speed must it have to escape the Moon's gravitational influence?

Express your answer to two significant digits and include the appropriate units.

Explanation:

Essentially, Kinetic energy of the particle must equal the combined potential energies of earth and the moon when the object is on the moon's surface, meaning the full equation is

=Mass of Earth=

=Mass of Moon=

=distance from earth's center to the moon's=

=radius of moon=

After some algebra, the equation simplifies to

Plugging in the values of G, which is , should yield the proper answer of 2780m/s.

a solenoid is created by wrapping a l = 90 m long wire around a hollow tube of diameter d = 4.5 cm.   the wire diameter is d = 0.9 mm.   the solenoid wire is then connected to a power supply so that a current of i = 9 a flows through the wire.

randomized variablesl = 90 m

d = 4.5 cm

d = 0.9 mm

i = 9 a                                          

write an expression for the number of turns, n, in the solenoid. you do not need to take into account the diameter of the wire in this calculation.

calculate the number of turns, n, in the solenoid.

write an expression for the length of the solenoid (l2) in terms of the diameter of the hollow tube d.

calculate the length of the solenoid (l2)   in meters.

calculate the magnitude of the magnetic field at the center of the solenoid in teslas.

explanation:

i think they are all correct

explanation:

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