57 A puck of mass m = 1.50 kg slides in a circle of radius 1 = 20,0 cm on a frictionless table while attached to a hanging cylinder of mass M = 2.50 kg by means of a cord that extends through a hole in the table (Fig. 6-43). What speed keeps the cylinder at rest? м Flg. 6-43 Problem 57.

Zero, a hypothetical planet, has a mass of 4.7 x 1023 kg, a radius of 3.2 x 106 m, and no atmosphere. A 10 kg space probe is to be launched vertically from its surface. (a) If the probe is launched with an initial kinetic energy of 5.0 x 107 J, what will be its kinetic energy when it is 4.0 x 106 m from the center of Zero? (b) If the probe is to achieve a maximum distance of 8.0 x 106 m from the center of Zero, with what initial kinetic energy must it be launched from the surface of Zero? (a) Number: i Units: (b) Number: i Units:

Problem 7: A satellite is traveling around a planet in a circular orbit with radius R. It moves in a constant speed of v = 1.04 x 10“ m/s. The mass of the planet is M = 5.96 × 1024 kg. The mass of the satellite is m = 2.2 x 10° kg. V

An electron with a speed of 1.3 × 107 m/s moves horizontally into a region where a constant vertical force of 4.9 × 10-¹6 N acts on it. The mass of the electron is 9.11 × 10-³1 kg. Determine the vertical distance the electron is deflected during the time it has moved 28 mm horizontally. Number Units