Answer:
Power, P = 722.96 watts
Explanation:
It is given that,
Voltage, V = 120 V
Length of nichrome wire, l = 8.9 m
Diameter of wire, d = 0.86 mm
Radius of wire, r = 0.43 mm = 0.00043 m
Resistivity of wire, 
We need to find the power drawn by this heater. Power is given by :

And, 


P = 722.96 watts
So, the power drawn by this heater element is 722.96 watts. Hence, this is the required solution.
If it were possible to move a star towards the earth then its apparent magnitude number would decrease while its absolute magnitude number would stay the same.
Definition of apparent magnitude:
The luminosity of a celestial body (such as a star) as observed from the earth compare absolute magnitude.
So for example, the apparent magnitude of the Sun is -26.7 and is the brightest celestial object we can see from Earth. However, if the Sun were 10 parsecs away, its apparent magnitude would be +4.7, only about as bright as Ganymede appears to us on Earth.
Definition of absolute magnitude:
Absolute magnitude is a measure of the luminosity of a celestial object on an inverse logarithmic astronomical magnitude scale.
To learn more about apparent magnitude here
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Answer:
91.64 km
91.64 km high material would go on earth if it were ejected with the same speed as on Io.
Explanation:
According to Newton Law of gravitation:

Where:
G is gravitational constant=
For Moon lo g is:

According to law of conservation of energy
Initial Energy=Final Energy


For Jupiter's moon Io:
Velocity is given by:

For Earth Velocity is given by:

Now:





91.64 km high material would go on earth if it were ejected with the same speed as on Io.
Answer:
the two vehicles will be moving at a speed of 6.16 m/s
Explanation:
This is a case of completely inelastic collision, therefore, the conservation of momentum can be written as:

which given the information provided results into:
