You are working during the summer at a company that builds theme parks. The company is designing an electromagnetic propulsion system for a new roller coaster. A model of a substructure of the device appears in thefigure below.LThe rod is of length d = 1.00 m and mass m = 0.400 kg. The rod carries a current I = 100 A in the direction shown and rolls along the rails of length L = 15.0 m without slipping. The entire system of rod and rails isimmersed in a uniform downward-directed magnetic field with magnitude B = 1.90 T. The electromagnetic force on the rod is parallel to the rails, causing the rod to roll to the right in the figure. When a full-scale device isproduced, this rod will represent the axle of wheels on which the car and its passengers ride. The electromagnetic force on the axle will provide the motion of the car at the beginning of the roller-coaster ride. Your supervisorwants to test the substructure in the figure in a flat outdoor area on the grounds of the company. By projecting the rod from the rails in a horizontal direction from a height h = 2.40 m, the projection speed can be determinedfrom how far from the ends of the rails the rod hits the ground. Your supervisor asks you to determine the length of the outdoor area needed to test the device. (Determine the total horizontal distance, in m, from the initialposition of the rod on the tracks to the final position of the rod where it lands on the ground.)

The given quantities in the problem are as follows. I=100 Ad=1 mm=0.4 kgL=15.0 mB=1.90 Th=2.40 m The…

Answered: The rod is of length d = 1.00 m and…

Similar questions

A = 60 B = 70 C = 170 D = 7
A wire segment carrying a current I is bent into a sinusoidal shape with period of 2π, i.e., y=sin(x) and the wire has length 2π in the x−direction. There is a magnetic field in the vicinity of the wire which points in the positive z−direction with a magnitude given by B=B0x. What is the magnitude of the y−component of the force on the wire segment?
A positively charged particle of mass 8.84 x 10-8 kg is traveling due east with a speed of 79.2 m/s and enters a 0.346-T uniform magnetic field. The particle moves through one-quarter of a circle in a time of 3.34 x 10-3 s, at which time it leaves the field heading due south. All during the motion the particle moves perpendicular to the magnetic field. (a) What is the magnitude of the magnetic force acting on the particle? (b) Determine the magnitude of its charge. (a) Number i (b) Number i Units Units B (out of screen)
A rod with mass m = 0.720 kg and radius r = 6.00 cm rests on two parallel rails, as shown in the figure. The rails are separated by a distance d = 12.0 cm and have a length L = 45 cm. The rod conducts a current I = 48.0 A in the direction shown in the figure and rolls on the rails without slipping. There is a uniform magnetic field of magnitude B = 0.240 T perpendicular to the rails and the rod. If the rod starts from rest, what is its speed when it leaves the rails?
A positively charged particle of mass 6.82 x 10-8 kg is traveling due east with a speed of 64.2 m/s and enters a 0.397-T uniform magnetic field. The particle moves through one-quarter of a circle in a time of 4.06 × 10-³ s, at which time it leaves the field heading due south. All during the motion the particle moves perpendicular to the magnetic field. (a) What is the magnitude of the magnetic force acting on the particle? (b) Determine the magnitude of its charge. (a) Number (b) Number pi i Units Units V < B (out of screen)
A very long straight wire carrying an electric current is perpendicular to the x-y plane. The current has a value of 26.7 A and is directed in the +z (out of the page). At point 'p', the magnetic field B is represented by one of the arrows. y (cm) 9 8 7 6 5 4 3 2 1 0 0 1 2 3 4 5 6 7 8 9 10 wire U T x (cm) Indicate the direction of the magnetic field at point 'p'. T: The direction of the magnetic field is .... Previous Tries You are correct. Your receipt no. is 158-4654 Calculate the magnitude of the B-field at 'p'. 1.78x10^-4 Submit Answer Units required. Units required. Tries 1/99 Previous Tries Calculate the x-component of the B-field at 'p'. Submit Answer Tries 0/99
A proton moves through a region containing a uniform electric field given by = 38.0 ĵ V/m and a uniform magnetic field = (0.200 î + 0.300 ĵ + 0.400 ) T. Determine the acceleration of the proton when it has a velocity = 170 î m/s.
A 1.00 C charge enters a uniform magnetic field. The magnetic field vector has the following components: 1.00 T in the x-direction, 2.00 T in the y-direction, and 3.00 T in the z-direction. The particle enters the magnetic field with a constant velocity whose components are as follows: 4.00 m/s in the x-direction, 5.00 m/s in the y-direction, and 6.00 m/s in the z-direction. - What are the components of the magnetic force in the particle? (Fx, Fy, and Fz) - What is the magnitude of the magnetic force?
A charged particle of mass m = 7.2X10-8 kg, moving with constant velocity in the y-direction enters a region containing a constant magnetic field B = 1.8T aligned with the positive z-axis as shown. The particle enters the region at (x,y) = (0.74 m, 0) and leaves the region at (x,y) = 0, 0.74 m a time t = 691 µs after it entered the region. %3D 1) With what speed v did the particle enter the region containing the magnetic field? 1681.3 m/s Submit 2) What is Fx, the x-component of the force on the particle at a time t1 230.3 µs after it entered the region containing the magnetic field. %3D -0.2382 N Submit + 3) What is Fy, the y-component of the force on the particle at a time t1 = 230.3 µs after it entered the region containing the magnetic field. -0.1375 N Submit 4) What is q, the charge of the particle? Be sure to include the correct sign. µC Submit