An electron of kinetic energy 1.67 kev circles in a plane perpendicular to a uniform magnetic field. the orbit radius is 37.4 cm. find (a) the electron's speed, (b) the magnetic field magnitude, (c) the circling frequency, and (d) the period of the motion.

At time t=0, a particle is located at the point (3,6,9). it travels in a straight line to the point (5,2,7), has speed 8 at (3,6,9) and constant acceleration 2i−4j−2k. find an equation for the position vector of the particle.

7.study the scenario. a small container of water with a low temperature is poured into a large container of water with a higher temperature. which choice correctly explains what happens to the thermal energy of these systems? the smaller container of water has more heat and thermal energy than the larger container. some heat and thermal energy is transferred to the larger container of water. the larger container of water has more heat and thermal energy than the smaller container. some heat and thermal energy is transferred to the smaller container of water. the larger container of water has more thermal energy and some of that energy is transferred to the colder water in a process known as heating. the smaller container of water has more thermal energy than the larger container, and some of that energy is transferred to the warmer water in a process known as heating.

When conducting this experiment, some procedures call for heating the substance several times and recording the mass after each heating, continuing until the mass values are constant. explain the purpose of this process and how it might reduce errors.