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Mercury has a mass MP = 3.18 x 1023 kg, an orbital period T = 88.0 days, and an orbital radius r = 5.79 x 1010 m. Assume the orbit of Mercury around the Sun is approximately circular.
a) Find the angular speed of Mercury about the Sun.b) What is the linear speed vt of Mercury?c) Determine the centripetal acceleration aC of Mercury due to its orbit about the Sun?d) Calculate the centripetal force FC acting on Mercury which causes its circular orbit about the Sun? Use Newton’s Second Law.e) Calculate the gravitational force acting on Mercury due to the Sun. Use Newton’s Law of Universal Gravitation. How does your calculation compare to part d above?f) Use the period T and radius r of Mercury’s orbit to calculate the mass MS of the Sun. Use Kepler’s Third Law. How does this compare to the mass of the Sun given in planetary data tables?g) Find the total energy (potential and kinetic) of Mercury in its orbit about the Sun.
A 1 m diameter wagon wheel consists of a thin rim having a mass of 9 kg, Determine the moment of inertia of the wagon wheel for rotation about its axis
Let us model the electric behavior of such a molecule by a pair of ±1.60 × 10-19-C charges connected by a spring with force constant 8.29 × 10-4 N/m, Find the charge separation distance in an electric field of 6.41 × 105 N/C
Two loudspeakers are placed 3-m apart. They emit 498 Hz sounds, in phase. A microphone is placed 3.2m distant from a point midway between the two speakers, where an intensity highest is recorded.
discussion topic 11.discuss how differentiation and integration theorems simplify analysis of time-based
A well-insulated electric water heater warms 121kg of water from 20.0° C to55.0° C in27.0min. Find the resistance of its heating element, which is connected across a 240-V potential difference.
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Two identical spools are held at the same heights above the floor. The thread from the spool A is tied to an overhead support while spool B is not connected to the support. which spool will hit the floor first
How many time constants must elapse before a capacitor in a series RC circuit is charged to 66.0% of its equilibrium charge
A certain particle has a weight of 34 N at a point where the acceleration due to gravity is 9.80 m/s2. What are the weight and mass of the particle at a point where the acceleration due to gravity is 4.90 m/s2
A uniform meter stick with a mass of 135 g rotates about an axis perpendicular to the stick passing through the center of the stick with an angular speed of 3.50 rad/s2
As the drawing illustrates, two disks with masses m1 and m2 are moving horizontally to the right at a speed of v0. They are on an air-hockey table, find the velocity of disk 2 at that moment
Light is incident normally on the largest face of an isosceles-right-triangle prism. What is the speed of light in this prism
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