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harkovskaia [24]
3 years ago
14

All the following statements are true. Which one is most important in explaining the tremendous tidal heating that occurs on Io?

Physics
1 answer:
SVEN [57.7K]3 years ago
4 0

Answer:

  • <u>Option:(D)-</u>

<em>"Io orbits Jupiter on an elliptical orbit, due to orbital resonances with other satellites."</em>

Explanation:

  • <u>"Io" moon of Jupiter:</u>

The Io is one of the four moons of Jupiter, as it rotates around the planet in an elliptical orbit, due to orbital resonance with other satellites. As due to the rotational motion of the moon, while orbiting the planet and having a large amount of gravitational pull on them there is a net amount of heat between the two heavenly bodies in the solar system. As the moon is very small in size as compared to giant celestial body, the crust of the moon is distorted by the unequal force of the gravity on each of its side by the planet causing a distortion of the moon's over all shape.

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4 years ago
vA 61.2-kg circus performer is fired from a cannon that is elevated at an angle of 57.8 ° above the horizontal. The cannon uses
dsp73

Answer:

The effective spring constant of the firing mechanism is 1808N/m.

Explanation:

First, we can use kinematics to obtain the initial velocity of the performer. Since we know the angle at which he was launched, the horizontal distance and the time in which it's traveled, we can calculate the speed by:

v_0_x=\frac{x}{t}\\ \\v_0\cos\theta=\frac{x}{t}\\\\v_0=\frac{x}{t\cos\theta}

(This is correct because the horizontal motion has acceleration zero). Then:

v_0=\frac{20.8m}{(2.60s)\cos57.8\°}\\\\v_0=15.0m/s

Now, we can use energy to obtain the spring constant of the firing mechanism. By the conservation of mechanical energy, considering the instant in which the elastic band is at its maximum stretch as t=0, and the instant in which the performer flies free of the bands as final time, we have:

E_0=E_f\\\\U_e=K\\\\\frac{1}{2}kx^2=\frac{1}{2}mv^2\\\\\implies k=\frac{mv^2}{x^2}

Then, plugging in the given values, we obtain:

k=\frac{(61.2kg)(15.0m/s)^2}{(2.76m)^2}\\\\k=1808N/m

Finally, the effective spring constant of the firing mechanism is 1808N/m.

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