# Question

An Electromagnetic Rail Gun A conducting bar with mass m and length L slides over horizontal rails that are connected to a voltage source. The voltage source maintains a constant current I in the rails and bar, and a constant, uniform, vertical magnetic field B fills the region between the rails (Fig).

(a) Find the magnitude and direction of the net force on the conducting bar ignore friction, air resistance, and electrical resistance.

(b) If the bar has mass m, find the distance d that the bar must move along the rails from rest to attain speed v.

(c) It has been suggested that rail guns based on this principle could accelerate payloads into earth orbit or beyond find the distance the bar must travel along the rails if it is to reach the escape speed for the earth (1l.2km/s). Let B = 0.50T, I = 2.0 X 103A, m = 25 kg, and L = 50 cm. For simplicity assume the net force on the object is equal to the magnetic force, as in parts (a) and (b), even though gravity plays an important role in an actual launch in space.

(a) Find the magnitude and direction of the net force on the conducting bar ignore friction, air resistance, and electrical resistance.

(b) If the bar has mass m, find the distance d that the bar must move along the rails from rest to attain speed v.

(c) It has been suggested that rail guns based on this principle could accelerate payloads into earth orbit or beyond find the distance the bar must travel along the rails if it is to reach the escape speed for the earth (1l.2km/s). Let B = 0.50T, I = 2.0 X 103A, m = 25 kg, and L = 50 cm. For simplicity assume the net force on the object is equal to the magnetic force, as in parts (a) and (b), even though gravity plays an important role in an actual launch in space.

## Answer to relevant Questions

A long wire carrying a 6.00-A current reverses direction by means of two right-angle bends, as shown in Fig. The part of the wire where the bend occurs is in a magnetic field of 0.666 T confined to the circular region of ...The triangular loop of wire shown in Fig. carries a current I = 5.00 A in the direction shown. The loop is in a uniform magnetic field that bas magnitude B = 3.00 T and the same direction as the current in side PQ of the ...A circular loop of wire with area A lies in the xy-plane. As viewed along the z-axis looking in the - z-direction toward the origin, a current I is circulating clockwise around the loop. The torque produced by an external ...Let X1, X2, .. , X7 denote a random sample from a population having mean and variance. Consider the following estimators of μ: (a) Is either estimator unbiased? (b) Which estimator is best? In what sense is it ...Data on pull-off force (pounds) for connectors used in an automobile engine application are as follows: 79.3, 75.1, 78.2, 74.1, 73.9, 75.0, 77.6, 77.3, 73.8, 74.6, 75.5, 74.0, 74.7, 75.9, 72.9, 73.8, 74.2, 78.1, 75.4, 76.3, ...Post your question

0