Adevice called a railgun uses the magnetic force on currents to launch projectiles at very high speeds. an idealized model of a railgun is illustrated in (figure 1 . a 1.2 v power supply is connected to two conducting rails. a segment of copper wire, in a region of uniform magnetic field, slides freely on the rails. the wire has a 0.85 m? resistance and a mass of 5.2 g . ignore the resistance of the rails. the power supply is switched on.

a. 169.4 N b. 65.08 m/s

Explanation:

Here is the complete question

A device called a railgun uses the magnetic force on currents to launch projectiles at very high speeds. An idealized model of a railgun is illustrated in the figure. A 1.2 V power supply is connected to two conducting rails. A segment of copper wire, in a region of uniform magnetic field, slides freely on the rails. The wire has a 0.85 mΩ resistance and a mass of 5.2 g . Ignore the resistance of the rails.

a. What is the magnitude of the force on the wire?

b. What will be the wire's speed after it has slid a distance of 6.5cm ?

Solution

The force on a current carrying conductor in a magnetic field is given by F = BIL where B = magnetic field strength = 0.8 T, I = current = V/R . V = voltage = 1.2 V and R = resistance = 0.85 × 10⁻³ Ω and L = length of conductor = 15 cm = 0.15 m.

F = BIL = BVL/R = 0.8 × 1.2/0.85 × 10⁻³ × 0.15 N = 0.144/0.85 × 10⁻³ N = 169.4 N

b. First we find its acceleration from F = ma, a = F/m

Since the copper wire of mass m = 5.2 g = 5.2 × 10⁻³ starts from rest and moves a distance d = 6.5 cm = 0.065 m,

we use v² = u² + 2ad, u = 0 ⇒ v² = 2ad ⇒ v = √(2ad) = √(2Fd/m) = √(2 × 169.4 × 0.065/5.2 × 10⁻³) m/s = √4235 = 65.08 m/s

colorectal cancer may also develop from areas of abnormal cells in the lining of the colon or rectum. this area of abnormal cells is called dysplasia and is more commonly seen in people with certain inflammatory diseases of the bowel such as crohn's disease or ulcerative colitis.

answer: a) y=-8x+5

a) m= -8

b) m= -2

c) m= 7

d) m= 6