Two discs sliding on a horizontal plane without friction with opposite speeds of the same magnitude v0 collide with each other of frontal way. Disk A is known to have a mass of 3 kg and it is observed that its velocity is zero after impact. Determine a) the mass of the disk B if the coefficient of restitution between the two discs is known to be 0.5, b) the range of possible values ​​of the mass of disk B if the coefficient of restitution between the two discs

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A 50-lb sphere A with a radius of 4.5 in. is moving with a velocity of magnitude v0 = 6 ft/s. Sphere A strikes a 4.6-lb sphere B that has a radius of 2 in., is hanging from an inextensible cord, and is initially at rest. Knowing that sphere B swings to a maximum height of h= 0.75 ft, determine the coefficient of restitution between the two spheres.

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; outside

A space is traveling at 4300 km/hr relative to Earth. When the exhausted rocket motor is. disengaged. and sent backward with a speed of 82 km/hr relative to the command module. The mass of the rocket motor is 4 time the mass of the module. What is the speed of the command module relative to the earth just after the separation. Answer in km/hr.

Consider as a system the Sun with Mars in a circular orbit around it. Find the magnitude of the change in the velocity of the Sun relative to the center of mass of the system during the time Mars completes half an orbit. Assume the mass of the Sun is 5.68 x 1029 kg, the mass of Mars is 6.42 x 1023 kg, its period is 5.94 x 107 s, and the radius of its orbit is 2.28 x 10¹¹ m. Ignore the influence of other celestial objects. 19.4 x m/s