51. ao Two stars in a binary system orbit around their center of mass. The centers of the two stars are 7.17 × 10" m apart. The larger of the two stars has a mass of 3.70 × 100 kg, and its center is 2.08 × 10" m from the system's center of mass. What is the mass of the smaller star?
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- Two identical particles, each of mass 1 000 kg, are coasting in free space along the same path, one in front of the other by 20.0 m. At the instant their separation distance has this value, each particle has precisely the same velocity of 800 m/s. What are their precise velocities when they are 2.00 m apart? Figure P13 74Two stars in a binary system orbit around their center of mass. The centers of the two stars are 6.91x1011 m apart. The larger of the two stars has a mass of 4.17x1030 kg, and its center is 2.22x1011 m from the system's center of mass. What is the mass of the smaller star?The mass of the Sun is 2 × 1030 kg, the mass of Mercury is 3.3 × 10 23 kg, and the center-to-center distance is 5.8 × 10 10 m. How far from the center of the Sun is the center of mass of the Sun– Mercury system? Note that the Sun's radius is 7 × 108 m.
- Pluto and its satellite Charon have masses which are more similar to each other than any other knonw pair of orbiting bodies in the Solar system. How far from the center of pluto is the barycenter or center of mass of the Pluto-Charon system? Take the mass of Pluto to be 1.31 × 10^22 kg, and 1.59 × 10^21 kg for Charon (about one eighth that of Pluto). Assume Pluto and its moon Charon are separated by 19,640 km while the radius of Pluto and Charon are 1190 km and that of Charon are 606 km respectively. Treating Pluto and Charon as spherically symmetric objects, how far from Pluto is the barycenter of the Pluto - Charon pair, and is this point inside are outside of Pluto? Hint: Place Pluto at the origin and Charon on the x axis. A. 289 km; inside B. 781 km; inside C. 2130 km; outside D. 5910 km; outsideMass M1= 20kg and is initially moving to the right at a velocity of V1= 15 m/s. Mass M2 = 5kg and is initially moving to the left with a velocity of V2 = 10 m/s. The two masses collide and stick together. Calculate their final combined velocity Vf.You are holding a shopping basket at the grocery store with two 0.58 kg cartons of cereal at one end of the basket. The basket is 0.80 m long. Where should you place a half gallon of milk (1.8 kg) so that the center of mass (COM) of your groceries is at the center of the basket? m from the center of the basket, opposite the cartons of cereal.
- Center of Mass. b)The mass of the Earth is 6x1024 kg and the mass of the Moon is 7.4x1022kg. The distance between their centers is 380,000 km. How does the distance between the CM of the system to the center of the Earth compare to the Earth’s radius of 6,400km?The adiacent figure ( Al) shows the positions of three masses with their X, Y and Z coordin ates (ia). If M 10 kg, M2 = 20 kg, and M3 = 70 kg. The X-coordinate of the center of mass is: %3D +y A. Zero М(0,6,0)m B. 0.6 m C. 1.5 m D. -2 m E. -1 m M3 M2 (-2,0,0)m (2,0,0)mA radioactive nucleus at rest decays into a second nucleus, an electron, and a neutrino. The electron and neutrino are emitted at right angles and have momenta of Pe=9.67x10-23 kg. m/s and p = 5.99×10-23 kg. m/s. respectively. (Figure 1) Figure Pnuc nuc +y 0 Onuc Py Pe 1 of 1 +X Part A Determine the magnitude of the momentum of the second (recoiling) nucleus. Express your answer to three significant figures and include the appropriate units. Pnuc= Submit Part B Onuc = Submit μA 4 Provide Feedback Value Request Answer Determine the angle between the momentum of the electron and the momentum of the second (rec Express your answer using three significant figures. [VE| ΑΣΦ 1 → C Request Answer Units 1 ? ?
- 5. A space vehicle is traveling at 4300 km/h relative to Earth when the exhausted rocket motor (mass 4m) is disengaged and sent backward with a speed of 82 km/h relative to the command module (mass m). What is the speed of the command module relative to Earth just after the separation? f massTwo stars in a binary system orbit around their center of mass. The centers of the two stars are 7.17 x 1011 m apart. The larger of the two stars has a mass of 3.70 x 1030 kg and its center is 2.08 x 1011 m from the system's center of mass. Calculate the mass of the smaller?15. A pilot of mass 75 k plane is flying man normal? the she nears it feels four times heav diagram. 41.6657 FC V-1.54.10² 9.d (= 75 radius = 150 1.2 m 59m/ radiusis 54m T 3.6 kmph tmps 39 16. A ball of mass 4.0 kg is attached to the end of a 1.2 m long string and whirled around as shown at a velocity of 3.4 m/s. If the ball is rotated in a horizontal circle what angle does the string make with the horizontal? 0 r R 3g r= 2 V FTsino 2 Fg 41.66/2 3x9.8 FT F cose
