Example: Comparing the magnitude of the electric force to the gravitational force There consists of only one proton, and one electron in a hydrogen atom. A proton has a charge of + 1.6×10-¹⁹C and mass of 1.7×10-27 kg. An electron has a charge of -1.6×10-¹⁹C and mass of 9.1×10-31 kg. They are separated in the atom by about 10-10 m. Electric force: Fq, on 92 Gravitational force: Fm, on m₂ m1m₂ p² = 1.0 x 10-47 N = G 9192 = kc (9.0 × 10°N m²/C²) p² = 2.3 × 108 N = (1.6 × 10-¹⁹ C)2 (10-10 m)² (1.7 x 10-27 kg) (9.1 x 10-31 kg) (10-1⁰m) ² (6.67 x 10-11 N m²/kg²).
Example: Comparing the magnitude of the electric force to the gravitational force There consists of only one proton, and one electron in a hydrogen atom. A proton has a charge of + 1.6×10-¹⁹C and mass of 1.7×10-27 kg. An electron has a charge of -1.6×10-¹⁹C and mass of 9.1×10-31 kg. They are separated in the atom by about 10-10 m. Electric force: Fq, on 92 Gravitational force: Fm, on m₂ m1m₂ p² = 1.0 x 10-47 N = G 9192 = kc (9.0 × 10°N m²/C²) p² = 2.3 × 108 N = (1.6 × 10-¹⁹ C)2 (10-10 m)² (1.7 x 10-27 kg) (9.1 x 10-31 kg) (10-1⁰m) ² (6.67 x 10-11 N m²/kg²).
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It's been years since I've solved a problem like this in the calculator. Could you walk me through each step to solve this equation on the calculator? Thank you so much
Transcribed Image Text:Example: Comparing the magnitude of the electric force to the gravitational force
There consists of only one proton, and one electron in a hydrogen atom. A proton has a charge of
+ 1.6x10-¹⁹C and mass of 1.7x10-27 kg. An electron has a charge of -1.6×10-1⁹C and mass
of 9.1x10-31 kg. They are separated in the atom by about 10-¹⁰m.
Electric force:
Gravitational force:
Fm₁
Fq, on 92
on m₂
= G
=
9192
kc
= 2.3 × 10-8 N
m1m2
p²
= 1.0 × 10-47 N
=
(9.0 X 10° N m²/C²).
19
(1.6 × 10-¹⁹ C)²
(10-¹0 m)²
(1.7 x 10-27 kg) (9.1 × 10-³¹ kg)
(10-¹⁰ m)²
√• m²/kg²)-
(6.67 X 10-¹1 N m²
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