What two factors does speed depend on?

Find Jupiter's mass from the fact that its moon Io orbits every 42.5 hours at an average distance of 422,000 kilometers.

Hitman42 [59]

Answer:

$M=1.9\times 10^{27}\ kg$

Explanation:

Given that,

Orbital period, T = 42.5 hours = 153000 seconds

The average distance of Jupiter's mass, r = 422,000 km

We need to find Jupiter's mass. The formula for the orbital period is given by :

$T^2=\dfrac{4\pi^2}{GM}r^3\\\\T^2GM=4\pi^2 r^3\\\\M=\dfrac{4\pi^2 r^3}{T^2 G}\\\\M=\dfrac{4\pi^2 \times (422000 \times 10^3)^3}{(153000 )^2 \times 6.67\times 10^{-11}}\\\\M=1.9\times 10^{27}\ kg$

So, the mass of Jupiter is $1.9\times 10^{27}\ kg$ .

7 0

3 years ago

George Washington Gale Ferris, Jr., a civil engineering graduate from Rensselaer Polytechnic Institute, built the original Ferri

MA_775_DIABLO [31]

Answer:

$KE = 4217 J$

Explanation:

As we know that the wheel is rotated at constant angular speed

so here we can say that the angular speed is given as

$\omega = \frac{2\pi}{T}$

$\omega = \frac{2\pi}{2 \times 60}$

$\omega = 0.052 rad/s$

now the moment of inertia of all passengers is given as

$I = 36(60)(\frac{76}{2})^2$

$I = 3119040 kg m^2$

now work done by machine must be equal to kinetic energy of the system

so we will have

$KE = \frac{1}{2}I\omega^2$

$KE = \frac{1}{2}(3119040)(0.052)^2$

$KE = 4217 J$

7 0

3 years ago

Where did the universe come from?

Leokris [45]

No one is entirely sure of where the universe came from. Scientists have come up with several different theories relating to your question, including the Big Bang Theory, but there is no definite answer.

5 0

4 years ago

When a sound wave moves through a medium such as air, the motion of the molecules of the medium is in what direction (with respe

Hunter-Best [27]

Answer:

Both choices B and C are valid

Explanation:

Sound wave are Mechanical wave. Air (or viscus fluid) is the medium of propagation. Sound is produced by the back and forth vibration of the object. Consider the vibration of object is from left to right then this back and forth vibrations of object displaces the molecules of the medium both rightward and leftward (to and fro) to the direction of the energy transport forming compression and rarefaction. This shows that the motion of the molecules of the medium is both parallel (and anti-parallel) to the direction of the sound wave propagation.

6 0

3 years ago

Plz help

Ratling [72]

Explanation:

First, the liquid on the bottom of the pot closest to the heat source starts to get hot; as it does, it rises. The rising hot water is replaced by the cooler, more dense water molecules. The water molecules in your pot continually exchange in this way, thanks to gravity, eventually warming the entire pot of liquid.

6 0

3 years ago

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