The following equations give the position x(t) of a particle in four situations (in each equation, x is in meters, t is in seconds, and t > 0): (1) x = 3t - 2;(2) x =-4t2 - 2; (3)x = 2/t2;and (4) x =-2.(a) In which situation is the velocity v of the particle constant? (b) In which is v in the negative x direction?
2. A car travels 22 km south, 12 km west, and 14 km north in half an hour. (See the figure below)
a) What is the average speed of the car?
b) What is the final displacement of the car?
c) What is the average velocity of the car?
Figure 2 below show cross section of two long straight wire separated by distance 0.5 m. Wire 2 carries current 2.0 A directed into the page. Determine the magnitude and direction (into or out of the page) of the current in wire 1 if the resultant of the magnetic field due to the two wire is zero at point Q located 0.8m from wire 2. Sketch diagram to prove your answer.
The magnetic field strength at the center of a circular coil with N turns is B. If the number of turns is double but the current and radius are each half, the magnetic field strength at the center would beĀ
an electron enterd uniform field that is directed downward and has a magnitude of 5 N/C. (a.)find the magnitude and direction of the force experienced by the electron (b.) find also its acceleration
Show that if a generalized coordinate is cyclic then corresponding component of a generalized momenta is a constant of motion.
Explain Hamilton's equation of motion in terms of Poisson's brackets.
What is meant by cyclic co-ordinate? Show that generalized momentum corresponding to a cyclic co-ordinate of conservative system is conserved.
explain
why the electrons collect at the top of the edge of the slice that related to the attraction upward,V and B?
What is the resistance of a 25.0-m-long piece of 12-gauge copper wire having a 2.053-mm diameter?