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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.
he rest energy of an electron is 0.511 MeV. The rest energy of a proton is 938 MeV. Assume both particles have kinetic energies of 2000 MeV. Find the speed of the proton
A step-down transformer (turns ratio = 1:8) is used with an electric train to reduce the voltage from the wall receptacle to a value needed to operate the train. What is the current in the primary coil
A vertical solid steel post of diameter d = 21.4cm and length L = 2m is required to support a load of mass m = 7650kg. What is the stress in the post
A particle with a rest mass of M=135GeV/c^2 or 1.35x10^11 eV/c^2 decays into two particles (which emerge back-to-back). The speeds of the two particles are measured at v1=.9c and v2=.01c. What are the masses of the two particles?
What is the period of revolution? please give me answer and units to both questions. dont just give me equation
A bottle has a mass of 35.00 g when empty and 98.43 g when filled with water. What is the specific gravity of this other fluid
This time, William Tell is shooting at an apple that hangs on a tree . The apple is a horizontal distance of 20.0m away and at a height of 4.00m above the ground, what is the arrow's initial velocity
A 1200 crate slides 15 down a ramp that makes an angle of 30 with the horizontal. If crate slides at a constant speed, how much thermal energy is created?
A rocket takes off vertically from the launchpad with no initial velocity but a constant upward acceleration of 2.25 m/s2. What is the maximum height the rocket will reach above the launchpad
A car is driven 155 km west and then 75 km southwest. What is the displacement of the car from the point of origin (magnitude and direction).
A 20.0 ?, 9.00 ?, and 9.00 ? resistor are connected in parallel to an emf source, What is the potential difference across the source
On a frozen pond, a 7 kg sled is given a kick that imparts to it an initial speed of v0 = 2.3 m/s. find the distance the sled moves before coming to rest
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