What variables affect the gravitational force between two objects? Select 2 choices.

A 4.0-ω resistor, an 8.0-ω resistor, and a 10.0-ω resistor are connected in series across an 11-V battery. The total potential d

Anon25 [30]

Total potential difference is 6

6 0

3 years ago

Two electrons, each with mass m and charge q, are released from positions very far from each other. With respect to a certain re

anzhelika [568]

Complete Question

Two electrons, each with mass m and charge q, are released from positions very far from each other. With respect to a certain reference frame, electron A has initial nonzero speed v toward electron B in the positive x direction, and electron B has initial speed 3v toward electron A in the negative x direction. The electrons move directly toward each other along the x axis (very hard to do with real electrons). As the electrons approach each other, they slow due to their electric repulsion. This repulsion eventually pushes them away from each other.

A) Which of the following statements about the motion of the electrons in the given reference frame will be true at the instant the two speeds reach their separations?

A) Electrons A is moving faster than electron B.

B) Electron B is moving faster than electron A.

C) Both electrons are moving at the same (nonzero) speed in the opposite direction

.D) Both electrons are moving at the same (nonzero) speed in the same direction.

E) Both electrons are momentarily stationary.

2) What is the minimum separation $r_{min}$ that the electrons reach?

Answer:

1

The correct option is E

2

$r_{min} = \frac{kq^2}{4 mv^2}$

Explanation:

From the question we are told that

The mass of each electron is m

The charge of each electron is q

The speed of electron A is v

The speed of electron B is 3v

Generally at their point of separation the repulsion force is equal to the force that is propelling the electrons due to this the electrons are momentarily stationary

Generally the total initial kinetic energy of both electron is mathematically represented as

$K_{inT} = K_A + K_B$

=> $K_{inT} = \frac{1}{2}m (v)^2 + \frac{1}{2} m (3v)^2$

=> $K_{inT} = \frac{1}{2} (mv^2 + 9v^2m)$

=> $K_{inT} = 5mv^2$

Generally the total final kinetic energy of both electron is mathematically represented as

$K_{fT} = \frac{1}{2} *m * v^2 + \frac{1}{2} *m * v^2$

Here v is the velocity due to the repulsion force

$K_{fT} = mv^2$

Generally the final potential energy of the both electrons is

$P_f = \frac{ k * q^2}{r_{min}}$

Here k is the coulombs constant

So according to energy conservation law

$K_{inT} = K_{fT} + P_f$

=> $5mv^2 = mv^2 + \frac{ k * q^2}{r_{min}}$

=> $r_{min} = \frac{kq^2}{4 mv^2}$

3 0

3 years ago

Vinegar contains 5.00% acetic acid (by mass) and its density is 1.02g / mL

Scorpion4ik [409]

9.45g of acetic acid are present in vinegar. Hope this helps and pls give thanks!!

5 0

3 years ago

Identify the base quantities un the following

GarryVolchara [31]

Answer:

Distance

Explanation:

Distance is the base quantity (measured in lengths) while speed, Area and Force are all derived quantities derived from base quantities.

8 0

3 years ago

PLEASE HELPP ASAP<br> Which of the following statements correctly compares the speed of waves?

Dvinal [7]

Answer: A

Explanation: Since particles in solids are more tightly bound together than the particles in gases, mechanical waves can propagate more quickly through solids. ... Since electromagnetic waves do not require a medium to pass through, they are faster in matter that has fewer particles.

7 0

3 years ago