Physics, 28.12.2019 06:31 meaghan18

Asmall metal sphere has a mass of 0.14 g and a charge of -26.0 nc. it is 10.0 cm directly above an identical sphere that has the same charge. this lower sphere is fixed and cannot move. if the upper sphere is released, it will begin to fall. part awhat is the magnitude of the force between the spheres? part bif the upper sphere is released, it will begin to fall. what is the magnitude of its initial acceleration?

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Answer from: arirodriguezc5854

$608.4\times10^{-6} N$

$5.5 ms^{-2}$

Explanation:

= magnitude of charge on each sphere = $26\times10^{-9} C$

= Distance between the two spheres = 10 cm = 0.10 m

= magnitude of force between the two spheres

Using Coulomb's law, magnitude of the force between two charged sphere

$F = \frac{kq^{2}}{r^{2}}\\F = \frac{(9\times10^{9})(26\times10^{-9})^{2}}{(0.1)^{2}}\\F = 608.4\times10^{-6} N$

= mass of the sphere = $0.14\times10^{-3} kg$

$F_{g}$ = Force of gravity in down direction = $mg = (0.14\times10^{-3})(9.8) = 1.372\times10^{-3} N$

= Electrostatic force of repulsion in upward direction = $608.4\times10^{-6} N$

= acceleration of the sphere

Force equation for the motion of the sphere is given as

$F_{g} - F = ma \\1.372\times10^{-3} - 608.4\times10^{-6} = (0.14\times10^{-3}) a\\a = 5.5 ms^{-2}$

Answer from: ghernadez

(a) 6.084 x 10^-13 N

(b) 97.87 m/s^2

Explanation:

mass, m = 0.14 g

charge, q = - 26 nC = 26 x 10^-19 C

d = 10 cm = 0.1 m

(a) the force between the two is electrostatic force.

$F_{e}=\frac{Kq^{2}}{d^{2}}$

$F_{e}=\frac{9\times 10^{9}\times 26\times 26\times 10^{-18}}{0.01}$

Fe = 6.084 x 10^-13 N

(b) the gravitational force of mass

Fg = m x g = 0.14 x 10^-3 x 9.8

Fg = 137.2 x 10^-5 N

Net force acting on the mass

Fg - Fe = ma

137.2 x 10^-5 - 6.084 x 10^-13 = 0.14 x 10^-3 x a

a = 97.87 m/s^2

Answer from: Quest

2. they have negligible mass.

Answer from: Quest

1. what is light?

light is an electromagnetic wave visible to the human eye.

2. what is a reflection?

the rebounding of a light ray when it hits a mirror.

3. what is the incident ray?

contacts the surface of an object.

4. what is the reflected ray?

bounces off a reflective surface.

5. what is the normal ray?

perpendicular to the surface of a mirror.

6. what is the angle of incidence?

an angle formed by the incident ray and the normal.

7. what is the angle of reflection?

an angle formed by the reflected ray and the normal.

8. what is refraction?

(bending.)

9. what is a converging lens?

bring together light rays that pass through.

10. what is a diverging lens?

spreads out light passing through.

11. focal point?

the real point where the refracted rays meet when the incident rays run parallel.

i copy pasted btw from an website..

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Asmall metal sphere has a mass of 0.14 g and a charge of -26.0 nc. it is 10.0 cm directly above an i...

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