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Sergeeva-Olga [200]
2 years ago
7

A small metal sphere has a mass of 0.16 g and a charge of -26.0 nC . It is 10 cm directly above an identical sphere with the sam

e charge. This lower sphere is fixed and cannot move.
Physics
2 answers:
Julli [10]2 years ago
4 0

Answer:

force: 6.08*10^(-4) N; acceleration: 6.0 m/s^2

Explanation:

This problem has two questions, which are interconnected. As two charged spheres are located next to each other,  there is an electrostatic force exists in between them. As the charges of the spheres have the same sign, the force has repel nature. To be more precise, upper sphere is acted upon two forces- gravitational force, which acts downwards, and electric force, which acts upwards. We need directions of these forces to calculate and analyse acceleration of the sphere.

To calculate electrostatic force, which exists between the spheres, we can use Columb's law:

F=\frac{1}{4\pi e } \frac{Q1*Q2}{R^{2} } , where Q1 and Q2- charges, R- distance, between charges; e- electrostatic constant. Note, that in some cases, (1/(4πε)) is known as a constant k=9*10^9 Nm^2/C^2.

For the given values, force of electrostatic relations is equal to: F=6.08*10^(-6) N

To calculate acceleration, we can use second Newton's law. As we discussed above, there are two forces acting on the top sphere, and these forces have opposite directions, so the components on the vertical axis will have different signs. As a result, analysis of the acceleration can follow the next process:

mg-Fe=ma\\a=g-Fe/m=6 m/s^2

Note, that we choose positive direction of the y-axis downwards. Note, that acceleration also acts downwards- it follows gravitational force.

Finally, we can see that the electric relations slow down the particle. However, during the motion, once the distance between charges reduces, the electrostatic force will increase and the given acceleration should be recalculated. Given answer is for the initial period, once the distance is 10cm. In its motion, the spheres might not collide, as the electrostatic force will go to infinity, once the distance goes to 0.

lina2011 [118]2 years ago
3 0
Hi, thank you for posting your question here at Brainly.

For this problem involving electrostatics, we will use the Coulomb's Law. The equation is written as:

F = k*Q1*Q2/r^2

F is the force between them, which I assume is what you're looking for. Q1 = -26 nC = -26E-9 C; Q2 = +26 nC = -26E-9 ; r = 0.1m ; and k is a constant which is equal to 9E+9 Nm^2/C.

F = (9E+9)(26E-9)(-26E-9)/(0.1)^2
F = -6.084E+32 N
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Model a hydrogen atom as a three-dimensional potential well with Uo = 0 in the region 0 &lt; x a. 283 eV <br> b. 339 eV <br> c.
denis23 [38]

This question is incomplete, the complete question is;

Model a hydrogen atom as a three-dimensional potential well with U₀ = 0 in the region 0 < x < L, 0 < y < L and 0 < z < L, and infinite otherwise, with L = 1.0 × 10⁻¹⁰ m.

Which of the following is NOT one of the lowest three energy levels of an electron in this model?

a. 283 eV

b. 339 eV

c. 113   eV  

d. 226 eV        

Answer:

the lowest three energy are; 113 eV, 225 eV, and 339 eV.

Hence Option a) 283 eV is not among the three lowest energy

Explanation:

Given the data in the question;

Three dimension cube or particle in a cubic box

the energy value is given by;

E_{nx,ny,nz = ( n_x^2 + n_y^2 + n_z^2 ) × π²h"² / 2ml²

where h" = h/2π and h is Planck's constant ( 6.626 × 10⁻³⁴ m² kg / s )

m is mass of electron ( 9.1 × 10⁻³¹ kg )

l is length of side of box ( 1.0 × 10⁻¹⁰ m )

for ground level ( n_x = n_y = n_z = 1 )

so

( n_x^2 + n_y^2 + n_z^2 ) ×  π²h"² / 2ml²

since h" = h/2π

( n_x^2 + n_y^2 + n_z^2 ) × π²h² / (2π)²2ml²

so we substitute

E_{111 = ( 1² + 1² + 1² ) × [ π²( 6.626 × 10⁻³⁴ )² ] / [ (2π)² × 2 × 9.1 × 10⁻³¹ kg × ( 1.0 × 10⁻¹⁰)² ]

E_{111 = 3 × [ (4.333188779 × 10⁻⁶⁶) / ( 7.185072 × 10⁻⁴⁹ ) ]    

E_{111 = 3 × [ 6.03082165 × 10⁻¹⁸ ]

Now, we know that electric charge = 1.602 x 10⁻¹⁹

so

E_{111 = 3 × [ (6.03082165 × 10⁻¹⁸) / (1.602 x 10⁻¹⁹) ]

E_{111 = 3 × [ 37.645578 ]

E_{111 = 112.9 ≈ 113 eV

E_{211 = ( n_x^2 + n_y^2 + n_z^2 )  × π²h² / (2π)²2ml²

we substitute

E_{211 = ( 1² + 1² + 2² ) × [ 37.645578 ]

E_{211 = 6 × [ 37.645578 ]

E_{211 = 225.87 ≈ 226 eV

E_{221 = ( n_x^2 + n_y^2 + n_z^2 )  × π²h² / (2π)²2ml²

we substitute

E_{221 = ( 2² + 2² + 1² ) × [ 37.645578 ]

E_{211 = 9 × [ 37.645578 ]

E_{211 = 338.8 ≈ 339 eV

Therefore, the lowest three energy are; 113 eV, 225 eV, and 339 eV.

Hence Option a) 283 eV is not among the three lowest energy

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2 years ago
A net force of 25N causes an object to accelerate at 4m/s^2. what is the mass of the object?
Doss [256]

Answer:

6.25 kg

Explanation:

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m=25/4

m=6.25kg

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madreJ [45]

Answer:

v = 6t² + t + 2, s = 2t³ + ½ t² + 2t

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Explanation:

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At t = 0, v = 2.

2 = 6(0)² + (0) + C

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Therefore, v = 6t² + t + 2.

s = ∫ v dt

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At t = 0, s = 0.

0 = 2(0)³ + ½ (0)² + 2(0) + C

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Therefore, s = 2t³ + ½ t² + 2t.

At t = 3:

v = 6(3)² + (3) + 2 = 59

s = 2(3)³ + ½ (3)² + 2(3) = 64.5

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2 years ago
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