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الفيزياء الحديثة شروووح
1.
@prof_Ahmad07 v c v≤c v<<<c 10 -15 Fm d 10 -10 A0 1 10-2 10-13 10-40 1
2.
@prof_Ahmad07 - – – 2
3.
@prof_Ahmad07 –- s s/ y y/ u x/ ut x o z o .A x/ / z/ t (x,y,z) (x,y,z,t) X+ o=o/ t S/ u t=t/ o&o/ (x/,y/,z/,t/) (x,y,z,t) A x /
= ut – x --------------------- 1 y / = y -------------------------- 2 z / = z -------------------------- 3 t / = t --------------------------- 4 – x = ut + x / y=y/ z=z/ t=t/ 3 1,2,3,4
4.
@prof_Ahmad07 – dt = dt
/ t=t/ dx / dt / = vx / , dy / dt / = vy / , dz / dt / = vz / dx / dt = vx , dy / dt = vy , dz / dt = vz then : vx / = vx – u ---------------- 5 vy / = vy -------------------- 6 vz / = vz -------------------- 7 – 7 4 1
5.
@prof_Ahmad07 s/ ( m1 ,
m2 ) s m1v1+m2v2 = m1v1+m2v2 m1(v1-u) + m2(v2-u) = m1(v1-u) + m2(v2-u) m1v1 – m1u + m2v2 – m2u = m1v1 – m1u + m2v2 – m2u m1v1 + m2v2 – u(m1+m2) = m1v1 + m2v2 – u(m1+m2) Then : m1v1+m2v2 = m1v1+m2v2 5
6.
@prof_Ahmad07 1/2m1v21 + 1/2m2v22
= 1/2m1v21 + 1/2m2v22 1/2m1(v1 – u )2 + 1/2m2(v1 – u )2 = 1/2m1(v1 – u )2 + 1/2m2(v1 – u )2 1/2m1(v12 – 2v1u + u2 ) + 1/2m1(v22 – 2v2u + u2 ) = 1/2m1(v12 – 2v1u + u2 ) + 1/2m1(v22 – 2v2u + u2 ) 1/2m1v12 – m1v1u + 1/2m1u2 + 1/2m2v22 – m2v2u + 1/2m2u2 = 1/2m1v12 – m1v1u + 1/2m1u2 + 1/2m2v22 – m2v2u + 1/2m2u2 1/2m1v12 + 1/2m2v22 + 1/2m1u2 + 1/2m2u2 – u(m1v1 + m2v2 ) = 1/2m1v12 + 1/2m2v22 + 1/2m1u2 + 1/2m2u2 – u(m1v1 + m2v2 ) 1/2m1v21 + 1/2m2v22 = 1/2m1v21 + 1/2m2v22 6
7.
@prof_Ahmad07 S/ S - S q S q / E F =
qE v - c 7
8.
@prof_Ahmad07 – D - u A B C a aD = aC
= L VLo = VLe + Veo VLo = c + u VLo VLe Veo aD aC ty tx ▲t 8
9.
@prof_Ahmad07 z/ z x u / x/ O O / y y S/ S S(x,y,z,t) ,
S/(x/,y/,z/,t/) t = t/ = 0 O = O/ O/ O (x/)2 + (y/)2 + (z/)2 = c2t/2 x2 + y2 + z2 = c2t2 c (x/)2 + (y/)2 + (z/)2 - c2t/2 = x2 + y2 + z2 - c2t2 x2 + y2 + z2 = t2 ( c2 – u2 ) + 2xut ……………1 x/ = a1x + a2t ………..2 t/ = b1x + b2t………...3 2 x= ut x/= 0 0 = a1ut + a2t 0 = t (a1u + a2 ) = 0 a2 = - a1u ……………….. 4 2 / x = a1x - a1ut x/ = a1( x – ut ) ………………….5 9
10.
@prof_Ahmad07 z/ = z
y/=y (x/)2 + (y/)2 + (z/)2 = c2t/2 3 5 {a1( x – ut ) }2 + y2 + z2 = c2 (b1x + b2t )2 { a12 ( x2 – 2xut – u2t2 ) } + y2 + z2 = c2 (b12x2 + 2b1b2xt + b22t2) x2 (a12 - c2 b12) + y2 + z2 = t2(c2 b22 - a12 u2) + xt(2b1b2c2 + 2ua12) (a12 - c2 b12) = 1 ………………6 (c2 b22 - a12 u2) = c ……………7 (2b1b2c2 + 2ua12) = 0 ………...8 6,7,8 …………. 9 …………10 K – 2,3 x/ = K(x – ut ) y/=y z/ = z t/ = K(t - x) 10 9,10
11.
@prof_Ahmad07 – K=1 c u - x/ = (x
– ut ) y/=y z/ = z t/ = t u –- x/ = K(x + ut ) y/ =y z/ = z t/ = K(t + x) 11
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