A small metal sphere has a mass of 0.19 gg and a charge of -23.0 nCnC. It is 10.0 cmcm 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.What is the magnitude of its initial acceleration?

Answers

Answer 1

Answer:

  a = -7.29 m / s²

Explanation:

For this exercise we must use Newton's second law,

          F -W = m a

Force is electrical force

         F = k q₁ q₂ / r²

         k q₁ q₂ / r² -mg = m a

indicate that the charge of the two spheres is equal

         q₁ = q₂ = q

         a = (k q² / r² - m g) / m

         a = k q² / m r² - g

Let's reduce the magnitudes to the SI system

        m = 0.19 g (1kg / 1000 g) = 1.9 10⁻⁴ kg

        q1 = q2 = q = -23.0 nC (1C / 10⁹ nC) = -23.0 10⁻⁹ C

        r = 10.0 cm (1m / 100cm) = 0.1000 m

let's calculate

        a = 9 10⁹ (23.0 10⁻⁹)² / (0.1000² 1.9 10⁻⁴) - 9.8

        a = -7.29 m / s²

The negative sign indicates that the direction of this acceleration is downward


Related Questions

Does a ball ever bounce back to it's drop height?

Answers

Answer: No

Explanation: Once you bounce the ball it will go higher and then it will slowly come back down

Answer:

depends the material

Explanation:

if its rubber yes for sure

An object moves at a constant speed of 6 m/s. This means that the object:

Answers

Answer:

The object moves 6 m in every second.

Explanation:

When we say something is constant, we simply means that it does not change with time i.e it the same through out irrespective of time.

Now, let us answer the question given above.

An object moving at a constant speed of 6 m/s. Has the following characteristics:

1. The object moves 6 m in every second.

2. The object is not accelerating since it has a constant speed. Therefore, the acceleration of the object is zero.

3. The object is moving as it covers a distance of 6 m in every second.

4. The speed remains the same since the speed of object is constant.

Thus, the right answer to question is: The object moves 6 m in every second.

If a NASCAR driver is driving around a track, and he travels 600 miles in 3 hours, what is his average speed in miles per hour (mph)? __________ mph

Answers

Answer:

200 mph.

Explanation:

If a NASCAR driver travels 600 miles in 3 hours, the way to calculate the speed at which the car is driving comes from dividing the distance factor by the time factor.

Thus, we must divide 600 by 3 (600/3), which gives 200 as result. Thus, if in 3 hours he travels 600 miles, in one hour he will travel 200 miles, which means that his average speed is 200 mph.

Scientists studying bull sperm whales off the coast of South Africa have calculated that these mammals can descend to depths of nearly 3,000 m during their search for food. What is this depth in kilometers?

Answers

Answer:

3,00,000

Explanation:

because 1 m =100m so, 3000x100=300000

1 kilometer is 1000 meters so the answer would be 3 kilometers

Find the dimensions [V] of volume. Express your answer as powers of length ( l), mass ( m), and time ( t).

Answers

Answer:

Volume equals to thrice the length. [tex][V] = [L]\times [L]\times [L][/tex]

Explanation:

Dimensionally speaking, volume equals to thrice the length. That is:

[tex][V] = [L]\times [L]\times [L][/tex]

A clever octopus swims 8 1/4km at a speed
of 0.5 km/h. How long does the octopus
take to swim this distance in hours and
minutes

Answers

Answer:

33 hours or equivalently: 1980 minutes

Explanation:

Use the formula for movement under constant velocity, as the velocity equal the distance traveled divided by the time it took, and solve for the unknown time (t):

[tex]v=\frac{distance}{t} \\t=\frac{distance}{v} \\t=\frac{8.25\,\,km}{0.5 \,\,km/h} \\t = 33 \,\,h[/tex]

which can also be given in minutes as : 33 x 60 = 1980 minutes

How to represent milligram in kilogram by standard formula?

Answers

Answer:

0.000001 kg

Explanation:

because 1 kg equal 1,000,000 milligrams

we take   [tex]\frac{1}{1,000,000}[/tex] which equals 0.000001 kg

Is there any difference between reflection and echo???

Answers

Answer:

reflection is the act of reflecting or the state of being reflected while echo is

reflection of sound waves from a surface back to the initial listener

give some examples of applications that resulted from work done by physicists

Answers

Example reuikfur2skied

Pushing an object
Basically if you move something or somewhere with force

Convert 183cm to meters
Pls show the work

Answers

Divide by 100 as there are 100cm in a metre

Answer 1.83

Answer:

1.83 meters

Explanation:

1 meter = 100 cm

183cm/100cm= 1.83 meters

Is the following sentence true or false? A scientific law attempts to
explain an observed pattern in nature.

Answers

the answer is false.

4) A force of 500 N acts on an area of 0.05m2. Find the pressure in Pascal.

Answers

Answer:

pressure = force ie 500 N divided by area ie 0.05m².

p=f by a

p= 500n divided by 0.05 m²

p= 10,000 pascal

A 25.0-mL aliquot of an aqueous quinine solution was diluted to 50.0 mL and found to have an absorbance of 0.656 at 348 nm when measured in a 2.50-cm cell.A second 25.0-mL aliquot was mixed with 10.00 mL of a solution containing 25.7 ppm of quinine; after dilution to 50.0 mL, this solution had an absorbance of 0.976 (2.50-cm cell). Calculate the concentration of quinine in parts per million in the sample.

Answers

Answer:

The  value  is  [tex]C =  21.07 ppm[/tex]

Explanation:

From the question we are told that

 The volume of the first  aliquot is [tex]V_a1  =  25.0 \  mL[/tex]

 The  volume after dilution is  [tex]V_A =  50.0mL[/tex]

 The  Absorbance of the first solution  is  [tex]A_1 =  0.656[/tex]

 The  wavelength at which the absorbance occurred is   [tex]\lambda _1 =  348 nm  =  348*10^{-9} \  m[/tex]

    The  length of the cell [tex]l  = 2.50 \  cm[/tex]

    The volume the second  aliquot is [tex]V_{a2}  =  25.0 \  mL[/tex]

     The  volume of the solution it was mixed with is  [tex]V_s  =  10.00mL[/tex]

     The  concentration of quinine in the 10 mL solution  [tex]Z =  25.7ppm[/tex]

    The volume of the second solution after dilution is [tex]V_d = 50.0 mL[/tex]

      The  absorbance of the second solution is [tex]A_2 =  0.976[/tex]

Generally the concentration of quinine is mathematically represented as

         [tex]C =  \frac{A_1 *Z *  V_s  }{(A_2 -A_1) V_{a2}}[/tex]

=>    [tex]C =  \frac{ 0.656  *  25.7 *  10.0}{ (0.976 -  0.656) *  25}[/tex]

=>   [tex]C =  21.07 ppm[/tex]

2. How long will it take for a ball thrown vertically upward with an initial velocity of
480 km/h to reach its maximum height?

Answers

Answer:

13.33 seconds

Explanation:

At maximum height, the equation of motion becomes:

v = u + at

Since the object was thrown vertically, the initial velocity (u) is zero and the acceleration (a) becomes the acceleration due to gravity (10 m/s2). The equation becomes:

v = at

v = 480 km/hr = 133.333 m/s

    10t = 133.333

       t = 133.333/10

           t = 13.33 seconds.

The time for the ball thrown vertically with a velocity of 480 km/hr to reach the maximum height is 13.33 seconds.

How far away is mars from the sun?

Answers

Answer:

From an average distance of 142 million miles (228 million kilometers), Mars is 1.5 astronomical units away from the Sun.

Mars is four planets away from the sun.

(Here is a pic as well, hopefully it helps!)

During a biology lab, students use a small knife called a scalpel to examine a large cricket. One student is accidentally cut by the scalpel. Which steps must be taken to ensure this student's safety? quickly yelling to the lab instructor putting on gloves before treating the cut using disinfectant on the cut applying a bandage immediately calmly telling the lab instructor washing hands after treating the cut

Answers

Answer:

Take the following steps

putting on gloves before treating the cut

using disinfectant on the cut

calmly telling the lab instructor

washing hands after treating the cut scalpel safety rules scalpel

use in lab how to use a scalpel safely how to use a scalpel correctly handling sharp objects sharp instrument safety sharp object safety rules safe handling and disposal of sharps policy

Report inappropriate predictions

A baseball is released at rest from the top of the Washington Monument. It hits the ground after falling for 6 s. What was the height from which the ball was dropped

Answers

Answer:

Total height (s) = 176.4 m

Explanation:

Given:

Initial velocity (u) = 0 m/s

Time taken (t) = 6 sec

Acceleration due to gravity = 9.8 m/s²

Find:

Total height (s)

Computation:

s = ut + [1/2]gt²

s = (0)(6) + [1/2][9.8][6²]

s = 176.4 m

Total height (s) = 176.4 m

A car goes from 40 m/s to 30 m/s in 5 sec. What is its acceleration?

Please help me

Answers

The car's average acceleration is

a (ave) = (30 m/s - 40 m/s)/(5 s) = -2 m/s^2

(That is, divide the change in velocity by the time it takes for the change to take place.)

If acceleration is constant, then it is equal to the average acceleration.

a cart rolls down a track. it starts from rest and attains a speed of 2.7 m/s in 3 s, what is the acceleration and distance traveled?

Answers

Answer:

Acceleration and the distance traveled are 0.9 m/s² and 4.05 m

Explanation:

Given that,

Initail speed, u = 0

Final speed, v = 2.7 m/s

Time, t = 3 s

To find,

The acceleration and distance traveled.

Solution,

Acceleration is change in speed per unit time

[tex]a=\dfrac{v-u}{t}\\\\a=\dfrac{2.7-0}{3}\\\\a=0.9\ m/s^2[/tex]

Let s is the distance,

[tex]d=ut+\dfrac{1}{2}at^2\\\\\because u=0\\\\d=0+\dfrac{1}{2}\times 0.9\times 3^2\\\\d=4.05\ m[/tex]

So, acceleration and the distance traveled are 0.9 m/s² and 4.05 m

PLEASE HELP WILL NAME BRAINLIEST!! An object is dropped from rest. What is its instantaneous speed when it has been in motion for 4 s? The acceleration of gravity is 9.8 m/s^2 Answer in units of m/s.

Answers

Explanation:

Using kinematics,

t = 4s

u = 0m/s

a = 9.8m/s^2

Therefore v = u + at = 0 + (4)(9.8) = 39.2m/s.

If an object covers a total distance of 20 meters in 4 seconds. What is its average speed?
O 80 m/s
O 0.2 m/s
O 5 m/s
0 24 m/s

Answers

c: 5 m/s
you have to divide
3rd choice 5 m/s is correct

which statement is a Hypothesis? A: Most of the earthworms moved to the shaded area during experiment. B: If an earthworm is given a choice,its will move toward darkness rather than light. C: The earthworms must all be the species. D: Do earthworms prefer bright light or darkness.

Answers

Answer:

B

Explanation:

It's saying what you think

Answer:

B.

Explanation:

what makes a star produce energy

Answers

Answer:

Stars produce energy from nuclear reactions, primarily the fusion of hydrogen to form helium. These and other processes in stars have lead to the formation of all the other elements.

Explanation:

Answer:

The answer is C)

Explanation:

C) Nuclear fusion

The skid marks left by the decelerating jet-powered car The Spirit of America were 9.60 km long. If the car's acceleration was -2.00 m/s2, what was the car's initial velocity.

Answers

Answer:

The car's initial velocity is 195.96 m/s

Explanation:

Given;

the length of the mark, x = 9.6 km = 9600 m

acceleration of the car, a = -2 m/s²

Apply the kinematic equation below

v² = u² + 2ax

where;

v is the final velocity = 0

u is the initial velocity

simplify the equation and you will obtain;

0 = u² + 2ax

0 = u² + 2(-2)(9600)

0 = u² - 38400

u² = 38400

u = √38400

u = 195.96 m/s

Therefore, the car's initial velocity is 195.96 m/s

Titus drives his jetski a distance of 1000 meters in 7.045 seconds. How fast was he moving in meters per second? How fast was he moving in miles per hour?

Answers

Answer:

a) v = 141.9 m/s

b) v = 317.4 miles/h

Explanation:

a) How fast was he moving in meters per second?

[tex] v = \frac{d}{t} = \frac{1000 m}{7.045 s} = 141.9 m/s [/tex]

Hence, the jet ski is moving at 141.9 meters per second.

b) How fast was he moving in miles per hour?

[tex] v = \frac{d}{t} = \frac{1000 m}{7.045 s} = 141.9 m/s*\frac{3600 s}{1 h}*\frac{1 mile}{1609.34 m} = 317.4 miles/h [/tex]      

Therefore, the jet ski is moving at 317.4 miles per hour.

I hope it helps you!

The electrostatic force that a charged particle, q1q1 , exerts on another charged particle, QQ , at a distance r1r1 , is FF . A second charged particle, q2q2 , exerts the same force FF on QQ at half the distance r1r1 . What is the value of q1q1 in relation to q2q2 ?

Answers

Answer:

q₁ / q₂ = 4

Explanation:

In this exercise we must use Coulomb's law

         F = k q₁q₂ / r²

For this case the electric force is

        F = k q₁ Q / r₁²

indicate that another particle q₂ has the same force on Q, but for r₂ = r₁ /2

        F = k q₂ Q / r₂²

we equate the two equations

           q₁Q / r₁² = q₂ Q / r₂²

we substitute r₂

        q₁Q / r₁² = q₂ Q / (r₁/2)²

        q₁ = q₂ 4

the relationship between the two charges is

         q₁ / q₂ = 4

difference between universal law of gravitation and acceleration due to gravity​

Answers

Explanation:

The acceleration on an object due to the gravity of any massive body is represented by g (small g). The force of attraction between any two unit masses separated by unit distance is called universal gravitational constant denoted by G(capital g). The relation between G and g is not proportional. That means they are independent entities.

G and g

In physics, G and g can be related mathematically as –

\(g=\frac{GM}{R^{2}}\)

Where,

1=g is the acceleration due to the gravity of any massive body measured in m/s2.

2=G is the universal gravitational constant measured in Nm2/kg2.

3=R is the radius of the massive body measured in km.

4=M is the mass of the massive body measured in Kg.

A car passes through a 20 meter speed trap in 5 seconds. How far will it go in 100 seconds?

Answers

Answer:

It will be 400 meters.

Explanation:

100 total seconds divided by 5 second interval equals 20.

Then 20 intervals multiplied by 20 meters per interval equals 400 meters.

Well first what you’re gonna wanna do is divide 100 by 5 then you’re going to get 20 and then we’re gonna Multiply 20 by 20 and then you’ll get 400 a car go for hundred meters in a speed trap

What makes scientific investigations similar to other types of investigations?
tions?
What makes scientific inuartia

Answers

Answer:

All investigations share steps of the scientific method, such as asking a question, conducting research, or analyzing data. The differences between investigations are usually related to what's being examined and the order of the steps followed.

In a criminal investigation, facts are collected about a crime that has already happened. While there are individual tests that can be done on certain types of evidence, there isn't an experiment to test every part of a crime. It can also be difficult to control all factors in a crime scene in order to test one variable at a time. Usually, there are so many variables and missing facts in a crime that a hypothesis and conclusion are hard to determine.

Explanation:

hope it helps <3

All types of investigation involve the steps of the scientific method, such as asking questions, researching, analyzing data, etc.

What are scientific investigations?

The research methods and techniques that can be used in order to develop hypotheses, conduct experiments, analyze data, and draw conclusions are called scientific investigations.

The evidence does not give enough solutions but it can lead to new issues for investigation. The methods that can be used by scientists to do scientific investigations involve scientific methods. The steps utilized by scientists to conduct the scientific investigation include:

Scientific investigation starts with an observation. After observing unusual we commonly question ourselves.

A hypothesis can be described as the possible answer to any scientific question. The hypothesis is logical still it can be falsifiable. The results of the test whether the evidence agrees with the prediction and supports the hypothesis or not to create a conclusion.

Learn more about scientific investigations, here:

https://brainly.com/question/8386821

#SPJ2

Your friend's car is stuck in the snow. You push very hard and become very 1 tired but the car won't move. Did you do work?

Yes, work was done

No, work wasn't done​

Answers

Answer:

Yes you  worked

Explanation:

You may have not seen a good outcome but you did put effort in.

When a force is applied on the car and it doesn't move then it simply means

work wasn't done.

The formula for work is given below:

Work = Force ₓ Displacement

For work to have been done , the applied force must cause the object to

change its position(displacement).

In situations where the force applied doesn't cause a change in position then work can't be calculated. This means no work was done on the car despite the applied force causing him to be tired.

Read more on https://brainly.com/question/19746065

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