Exercicios fisica ii - fatec
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Exercicios Halliday 7 edição[pic][pic][pic][pic]
1
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m1 = 6,3 x 10-7 kg a1 = 7 m/s² m2 = ? a2 = 9 m/s² d = 3,2 x 10-3m q1 = q2 k = 9 x 109 N.m²/C²
F = m1 x a1 = m2 x a2
m2 = m1.a1/a2 = 6,3 x 10-7 kg x 7 m/s² / 9 m/s² = 4,9 x 10-7 kg
a) m2 = 4,9 x 10-7 kg
F = k x q1 x q2 / d² = m1 x a1
q² x 9 x 109 / (3,2 x 10-3)² = 6,3 x 10-7 x 7
q² / (3,2 x 10-3)² = 6,3 x 10-7 x 7 / 9 x 109
q = 3,2 x 10-3 x ((6,3 x 10-7 x 7 / 9 x 109)
q = 3,2 x 10-3 x ((4,9 x 10-16)
q = 3,2 x 10-3 x 2,21 x 10-8
q = 7,08 x 10-11
b) q = 7,1 x 10-11 C
2
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k = 9 x 109 N.m²/C² q1 = 3,00 x 10-6 C q2 = ( 1,50 x 10-6 C d = 1,2 x 10-1 m |F| = ?
F = k x q1 x q2 / d² = 9 x 109 x 3,00 x 10-6 x ( 1,50 x 10-6 / (1,2 x 10-1)²
F = ( 40,5 x 10-3 / (1,2 x 10-1)² = ( 4,05 x 10-2 / (1,44 x 10-2) = ( 2,81
|F| = 2,81 N
3
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k = 9 x 109 N.m²/C² q1 = 26,0 x 10-6 C q2 = ( 47,0 x 10-6 C d = ? |F| = 5,7 N
F = k x q1 x q2 / d² ( 5,7 = 9 x 109 x 26 x 10-6 x ( 47 x 10-6 / (d)²
(d)² = 9 x 109 x 26 x 10-6 x ( 47 x 10-6 / 5,7
(d)² = 9 x 26 x ( 47 x 10-3 / 5,7 = ( 10,998 / 5,7 = ( 1,929
d = 9 x 26 x ( 47 x 10-3 / 5,7 = ( 10,998 / 5,7 = ((1,929
d = 1,39 m
7
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k = 9 x 109 N.m²/C² q1 = ( q2 = 100 x 10-9 C q3 = ( q4 = 200 x 10-9 C a = 5 x 10-2 m Fx = ? Fy = ?
F31 = k (q1 . q3) / a² = k (q1 . 2q1) / a² = k . 2(q1)² / a²
F32 = k (q3 . q2) / 2a² = k [2q1(q1)] / 2a² = k [2 (q1)²] / 2a² = F31 / 2 (d² = a² + a² = 2a²
F34 = k (q3 . q4) / a² = k [2q1(2q1)] / a² = k [4 (q1)²] / a² = 4F32
F31 = k . 2(q1)² / a² = 9 x 109 x 2(100 x 10-9)² / (5 x 10-2)² = 9 x 109 x 2 x 10-14 / 2,5 x 10-3 = 7,2 x 10-2
F32 = F31 / 2 = (7,2 x 10-2) / 2 = 3,6 x 10-2
F34 = 4F32 = 4 x 3,6 x 10-2 = 1,44 x 10-1
F3x = F31x + F32x + F34x = 0 + (3,6 x 10-2 x cos45º) + 1,44 x 10-1 = 0,169 = 1,7 x 10-1N
F3y = F31y + F32y + F34y = ( 7,2 x 10-2 + (3,6 x 10-2 x sen45º) + 0 = 0,04654 = (4,6 x 10-2N
9
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