Three forces act on a wooden crate that is initially at rest as shown below. Determine the net force acting on the crate and describe the resulting motion of the crate

Three Forces Act On A Wooden Crate That Is Initially At Rest As Shown Below. Determine The Net Force

Answers

Answer 1

We know that the net force is the sum of the forces acting on the body then we need to add them; to do this we need to be careful and we have to remember that the forces are vectors, this means that we need to account for the directions in the sum.

For this problem we are going to assume the right direction is positive while the left is negative, then the net force is:

\(5+3-8=0\)

Therefore the net force on the crate is zero and since the crate was initially at rest this means that it will remain at rest, this comes from Newton's first law.


Related Questions

While on vacation, Carine rides in a hot-air balloon. To make the balloon rise, the pilot turns on a flame to warm the air inside the balloon. How does the air change?

Answers

The air inside becomes warmer, and that makes it LESS DENSE.

Less-dense air FLOATS in denser air. Since it's inside the balloon, it picks the balloon up when it floats.

what is the voltage of A simple circuit with one battery​

Answers

Answer:

depends on the battery


In a DC generator, the generated emf is directly proportional to the

Answers

In a DC generator, the generated electromotive force (emf) is directly proportional to the rotational speed of the generator's armature and the strength of the magnetic field within the generator.

This relationship is described by the equation for the generated emf in a DC generator:

Emf = Φ * N * A * Z / 60

Where:

Emf is the generated electromotive force (in volts),

Φ is the magnetic flux density (in Weber/meter^2\(meter^2\) or Tesla),

N is the number of turns in the armature winding,

A is the effective area of the armature coil (in square meters),

Z is the total number of armature conductors, and

60 is a constant representing the conversion from seconds to minutes.

From this equation, we can see that the generated emf is directly proportional to the magnetic flux density (Φ) and the product of the number of turns (N), effective area (A), and the total number of armature conductors (Z). This means that increasing any of these factors will result in a higher generated emf.

The magnetic flux density (Φ) can be increased by using stronger permanent magnets or increasing the strength of the field windings in the generator.

The number of turns (N) and the effective area (A) are design parameters and can be optimized for a specific generator. Increasing the number of turns or the effective area will result in a higher generated emf.

Similarly, the total number of armature conductors (Z) can be increased to enhance the generated emf.

By controlling and optimizing these factors, the generated emf in a DC generator can be increased, resulting in higher electrical output. However, it is important to note that there are practical limits to these factors based on the design and construction of the generator.

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Forces that cancel each other are called_ forces \

Answers

Answer:

balanced forces

A Motorcycle Jump. You are planning to make a jump with your motorcycle by driving over a ramp that will launch you at an angle of 30.0° with respect to the horizontal. The front edge of the ramp on which you are supposed to land, however, is 25.0 ft lower than the edge of the launch ramp (i.e., your launch height).
(a) Assuming a launch speed of 55.0 mph, at what horizontal distance from your launch point should the landing ramp be placed?
(b) In order to land smoothly, the angle of the landing ramp should match the direction of your velocity vector when you touch down. What should be the angle of the landing ramp?

Answers

a. the landing ramp should be placed at 276.298 ft horizontally from the launch point.

(b) the angle of the landing ramp is 30°.

How do we calculate?

(a)

Launch speed = 55.0 mph * (1.467 ft/s)

= 80.685 ft/s

Horizontal distance = Launch speed * Time of flight

Vertical velocity = Launch speed * sin(30.0°)

Time to reach maximum height = Vertical velocity / g

Vertical distance = (1/2) *g * t²

and Time = √(2 * Vertical distance / g)

Total time of flight = 2 * Time to reach maximum height + Time for descent

Horizontal distance = Launch speed * Total time of flight

The Vertical velocity = 80.685 ft/s * sin(30.0°)

= 40.3425 ft/s

Time to reach maximum height = 40.3425 ft/s / 32.2 ft/s²

Time to reach maximum height  = 1.253 s

Time of descent = √(2 * 25.0 ft / 32.2 ft/s²)

Time of descent  = 0.913 s

Total time of flight = 2 * 1.253 s + 0.913 s

Total time of flight = 3.419 s

In conclusion, the horizontal distance = 80.685 ft/s * 3.419 s

horizontal distance = 276.298 ft

b.

the angle of the landing ramp is  30.0 be the same as the launch angle.

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The time it takes a car to attain a speed of 30 m/s when accelerating from rest at 2 m/s2 is?
A) 2 s.B) 15 s.C) 30 s.D) 60 s.

Answers

Explanation:

u = 0m/s

v = 30m/s

a = 2m/s²

Using Kinematics, we have v = u + at.

Therefore t = (v - u) / a

= (30 - 0) / (2) = 15 seconds. (B)

What order does energy flow: sun prodecer consumer?

Answers

Energy flows from the Sun to producers, then to primary consumers, secondary consumers, and potentially to tertiary consumers, forming a pyramid-shaped structure that represents the transfer of energy through different trophic levels in an ecosystem.

Energy flows in a specific order through various components of an ecosystem, starting with the Sun and progressing through producers and consumers. This flow of energy is known as the energy pyramid or trophic levels.

At the base of the energy pyramid is the Sun, which is the ultimate source of energy for most ecosystems on Earth. Sunlight provides the energy needed for photosynthesis, a process carried out by plants, algae, and some bacteria, collectively known as producers. These organisms convert solar energy into chemical energy through photosynthesis, using carbon dioxide and water to produce glucose and oxygen. This process captures and stores energy in the form of organic compounds.

The next level in the energy pyramid consists of primary consumers, also known as herbivores. These are animals that feed directly on producers, such as grazing animals or insects that consume plants. Herbivores obtain energy by consuming plant material and breaking down the organic compounds present in the plants into simpler forms, such as sugars and amino acids, through digestion.

Above the primary consumers are the secondary consumers, which are carnivores or omnivores that feed on herbivores. They obtain energy by consuming primary consumers and breaking down the organic compounds in their prey through digestion. This energy transfer continues up the trophic levels, with each level consuming the one below it.

At the top of the energy pyramid are tertiary consumers, which are typically apex predators. They are carnivores that consume other carnivores. Tertiary consumers obtain energy by consuming secondary consumers and breaking down the organic compounds in their prey.

It's important to note that energy is not efficiently transferred between trophic levels. Only a fraction of the energy consumed at each level is converted into biomass and passed on to the next level. This inefficiency is due to processes such as respiration, heat loss, and incomplete digestion.

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Suppose an empty grocery cart starts at a rest and rolls downhill in a parking lot. The cart has a maximum speed of 2.2km/s when it hits the side of the store and comes to rest 1.5 min later. If an unbalanced force of 65 N stops the cart, what is the mass of the grocery cart?

Answers

Answer: i dont know

Explanation:

E

A rocket sled accelerates to 50 m/s. When the rocket engine stips, the sled skids along its rails. If the coefficient of friction is 0.5, how fast is the sled moving after 2.50 s?

Answers

The sled's speed can be calculated by considering the acceleration, frictional force, and time. After substituting the given values and performing the calculations, the final speed is determined to be 12.25 m/s.

To calculate the speed of the sled after 2.50 seconds, we can use the equations of motion and consider the forces acting on the sled.

Let's denote the initial speed of the sled as v0, the final speed as vf, the acceleration as a, the time as t, and the coefficient of friction as μ.

Initially, the rocket sled is accelerating, so we can use the equation:

vf = v0 + at

Since the sled is skidding along its rails after the rocket engine stops, the only horizontal force acting on the sled is the force of friction. The frictional force can be calculated using the equation:

frictional force = coefficient of friction * normal force

Since the sled is moving horizontally, the normal force is equal to the weight of the sled, which can be calculated as:

weight = mass * gravity

Now, we can determine the acceleration of the sled using Newton's second law:

frictional force = mass * acceleration

Combining the equations and substituting the values, we have:

vf = v0 + (frictional force / mass) * t

To find the frictional force, we need to calculate the weight of the sled and then multiply it by the coefficient of friction:

frictional force = (mass * gravity) * coefficient of friction

Substituting this back into the previous equation, we get:

vf = v0 + ((mass * gravity * coefficient of friction) / mass) * t

Simplifying further, we have:

vf = v0 + (gravity * coefficient of friction) * t

Now we can substitute the given values into the equation. Assuming the acceleration due to gravity is approximately 9.8 m/s², the coefficient of friction is 0.5, the initial speed is 0 m/s (since the sled starts from rest), and the time is 2.50 s, we can calculate the final speed:

vf = 0 + (9.8 * 0.5) * 2.50

vf = 12.25 m/s

Therefore, the sled is moving at a speed of 12.25 m/s after 2.50 seconds.

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At baseball practice, Mason and Alfredo both picked up the same bat and neither would let go until one of them had it for himself. Mason pulled the bat with

force of 15 newtons (N) while Alfredo pulled with a force of 20 newtons (N). Why did Alfredo end up with the bat?

A because the force was 5 N in Mason's direction

B. O because the net force was 5 N in Alfredo's direction

c. O because the net force was 15 N in Mason's direction

D.O because the net force was 20 N in Alfredo's direction

Answers

Answer:

Option B. O because the net force was 5 N in Alfredo's direction

Explanation:

To know the the correct answer to the question given above, we shall determine the net force acting on the bat. This can be obtained as follow:

Force of pull by Mason (Fₘ) = 15 N

Force of pull by Alfredo (Fₐ) = 20 N

Net force (Fₙ) =?

Fₙ = 20 – 15

Fₙ = 5 N in Alfredo's direction

From the calculation made above, we can see that the net force is 5N in Alfredo's direction. This is the reason why Alfredo end up having the bat.

how is 1 hectoliter diffrent from 1 kiloliter

Answers

The difference between a kiloliter and hectoliter is kiloliter smaller than a hectoliter

- At time t = 0, a small ball is projected vertically upwards from a point A which is 24.5 m above the ground. The ball first comes to instantaneous rest at the point B, where AB = 19.6 m and first hits the ground at time t = T seconds. = The ball is modelled as a particle moving freely under gravity. (a) Find the value of T.​

Answers

The value of time needed to complete the upward and the downward motion is, T=5sec .T is the time at which the ball first hits the ground.

What is the time period?

The time period is found as the ratio of the displacement and the velocity. Its unit is second and denoted by t

The given data in the problem is;

The time required to move upwards is,t₁

The time required to move downwards is,t₂

The distance traveled is,s= 19.6m

The gravitational acceleration is, g=9.81 m/s

At the highest position, the velocity of the ball is zero;

The time required to move upwards is found as;

\(\rm S_1 = ut + \frac{1}{2} at^2 \\\\ \rm S_1 = \frac{1}{2} (-g)t_1^2 \\\\ t_1= \sqrt{\frac{2S_1}{g} } \\\\ t_1= \sqrt{\frac{2 \times 19.6 }{9.81} } \\\\ t_1= 2 \ sec\)

The time required to move downward is found as;

\(\rm S_2 = ut + \frac{1}{2} at_2^2 \\\\ \rm S_1 = \frac{1}{2} (-g)t_2^2 \\\\ t_2= \sqrt{\frac{2S_2}{g} } \\\\ t_2= \sqrt{\frac{2 \times 44.1 }{9.81} } \\\\ t_2= 3 \ sec\)

The total time period is the sum of the time required to move upwards and the time required to move downwards.

T =t₁+t₂

T=2+3

T=5 sec

Hence the value of T will be 5 sec.

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A bicycle is moving from rest with a constant acceleration of 3 m/s^2 calculate the final velocity of the car if the distance moves is 6

Answers

Answer:

6m/s

Explanation:

Acclⁿ = 3m/s² Displacement = 6m .Initial velocity = 0m/s .Final velocity = ?

We know that ,

\(\longrightarrow \) 2as = v² - u²

\(\longrightarrow \) 2 * 3m/s² * 6m = v² - (0)²

\(\longrightarrow \) v² = 36m²/s²

\(\longrightarrow \) v = √36 m²/s²

\(\longrightarrow \) v = 6m/s

460miles per hour with the wind nd 420 per hour gainst the wind

Answers

The speed of the wind is 20 miles per hour.

To solve this problem, we can use the formula:

Speed = Distance/Time

Let's assume that the speed of the wind is x miles per hour.

With the wind, the plane travels at a speed of 460 miles per hour. This means that its speed relative to the ground is the sum of its airspeed and the speed of the wind:

460 = Airspeed + x

Against the wind, the plane travels at a speed of 420 miles per hour. This means that its speed relative to the ground is the difference between its airspeed and the speed of the wind:

420 = Airspeed - x

We can solve this system of equations to find the airspeed of the plane:

460 = Airspeed + x

420 = Airspeed - x

Adding the two equations gives:

880 = 2Airspeed

Dividing both sides by 2 gives:

Airspeed = 440 miles per hour

Now that we know the airspeed of the plane, we can find the speed of the wind by substituting this value into one of the equations we obtained earlier:

460 = Airspeed + x

460 = 440 + x

x = 20

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NEC sections 422.30 through 422.35 allow which of the following disconnecting means for fixed appliances not over 300 VA or 1/8 horsepower?
I. branch circuit breaker
II. attachment plug cap
III. separate disconnect switch

Answers

III separate disconnect switch allows disconnecting means for fixed appliances through NEC sections.

What does the disconnecting means NEC code mean?

Unless the location and configuration make the function obvious, each disconnecting device should be legibly labeled to show what it is intended to do. The marking must indicate the circuit source that supplies the disconnecting mechanism in all constructions other than one- or two-family homes.

What does the National Electric Code's Article 422.30 mean?

Each appliance must be concurrently unplugged from all ungrounded conductors in line with Part III of Article 422 per Section 422.30.

What is the highest voltage drop that the NEC permits?

In accordance with the NEC, the maximum voltage drop for either the feeder or branch circuit shouldn't exceed than 3% and the combined maximum shouldn't be more than 5%.

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What is a small portable device that counts every step taken throughout the day?

A.stethoscope

B.pedometer

C.otoscope

D.thermometer

Answers

Answer: B

Explanation: i learned it last year

Pedometer is a small portable device that counts every step taken throughout the day. The correct option is (B).

A pedometer is a small portable device that counts the number of steps taken by an individual throughout the day. It is typically worn on the waist or carried in a pocket and uses a mechanism to detect body motion and count each step.

Pedometers are commonly used for tracking physical activity and encouraging individuals to achieve daily step goals as part of their fitness routines.

Therefore, Pedometer is a small portable device that counts every step taken throughout the day. Choose the option (B).

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The weld bead in SMAW is formed by the?

The weld bead in SMAW is formed by the?

Answers

The answer is C I just took this quiz.

The weld bead in SMAW is formed by the electrode wire core mixing with the molten base metal, Therefore the correct option is D.

What is Shielded Metal Arc Welding (SMAW)?

It is a type of manual arc welding process which utilizes a consumable electrode covered with flux to protect the weld bead.

For SMAW either direct current or alternating current can be used to form the electric arc. The electrode melts and forms a molten weld pool with the base metal by using the thermal energy produced from the electric arc.

The weld bead in Shielded Metal Arc Welding is formed by the electrode wire core mixing with the molten base metal.

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A cell contains 20% solute. If it is placed in a solution with 35% solute, what will happen to the cell?

Answers

i think it will shrink because it will loose or is loosing the water. I am not very sure but i have done my research

describe Piaget's four stages of cognitive development. Include the major hallmarks of each stage.

Answers

Answer:

Explanation:

Sensorimotor Infants "think" by acting on the world with their eyes, ears, hands, and mouth.

Preoperational. Development of language and make-believe play takes place.

Concrete Operational children think in a logical, organized fashion only when dealing with concrete information they can perceive directly.

Formal Operational.  Adolescences  can also evaluate the logic of verbal statements without referring to real-world circumstances.

Sensorimotor, preoperational, concrete operational, and formal operational are Piaget's four phases of cognitive development.

What is cognitive development?

The way youngsters think, investigate, and figure things out is referred to as cognitive development.

Piaget defined four stages of cognitive development:

1. Sensorimotor. From birth through the age of 18-24 months.

2. Preoperational.From infancy (18-24 months) until toddlerhood (age 7)

3. Operational concrete. 7 to 11 years old

4. Formal operational. From adolescence to adulthood

Hence, sensorimotor, preoperational, concrete operational, and formal operational are Piaget's four phases of cognitive development.

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Question 1

Describe the path light takes as it travels through air and into glass

Question 2

Explain the brightness of light using the wave model of light

Answers

Answer:

here is answer!

Explanation:

Question 1:

Light bends when it transitions from air to glass due to differences in refractive indices. It follows an incident path in air, refracts at the air-glass boundary, and continues through the glass as a transmitted ray. Total internal reflection may occur if the angle of incidence is large enough.

Question 2:

Brightness in the wave model of light is determined by the amplitude and intensity of the light waves. Higher amplitudes and intensities correspond to brighter light. When multiple light waves overlap, their amplitudes add up, resulting in increased brightness

Question 1 :
The path light bends as it travels through air and into glass.
What is light?
The light is the ray form of energy obtained from the Sun.
The path of light will look like bended when it has crossed the interface of two medium.
As. the light ray falls on the surface of glass travelling through air, the ray appears to bend after refraction.
Thus, the path of light bends as it travels through air and into glass.
———————
Question 2 :
According to the wave theory of light, the energy of radiation depends only on the intensity or wave amplitude (brightness), not the frequency (what type of light; e.g red light or green light; visible light or gamma) According to the particle theory of light states the energy of radiation depend only on the frequency

An astronaut is doing a spacewalk on a long tether at 0.1 km away from the International Space Station (mass of 420,000 kg). His spacesuit includes a very sensitive gravitometer, which indicates the gravitational force acting on the astronaut and his spacesuit from the ISS is 7.0 E−7 N. What is the mass of the astronaut in his suit if G = 6.67 E−11 N*m2/kg2?

Group of answer choices

150 kg

200 kg

300 kg

250 kg

Answers

The mass of the astronaut is 250 kg.

option D.

What is the mass of the astronaut?

The mass of the astronaut is calculated by applying Newton's law of universal gravitation as follows;

F = ( G Mm ) / ( R² )

where;

G is universal gravitation constantM is the mass of the space stationm is the mass of the astronautR is the distance between the space station and the astronaut

GMm = FR²

m = ( FR² ) / ( GM )

m = ( 7 x 10⁻⁷ x 100² ) / ( 6.67 x 10⁻¹¹ x 420,000 )

m = 250 kg

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We use sponge when we have fever.Which phenomenon best describe the above statement in physics?​

Answers

Answer: heat loss by conduction

Explanation:

As the thermal energy from our body is flowing to the sponge, our body is losing heat.

Discuss the circuits.
Name all the
components. What
will happen to bulb
B1 if the bulb B2 is
replaced with
connecting wire in
each circuit?

Answers

The series circuit has components connected in a sequence, while the parallel circuit has components connected in different branches. If bulb B2 is replaced with a wire in the series circuit, bulb B1 will not light up, while in a parallel circuit, it will still light up.

Circuits are basically the pathways that allow the flow of electric current. These circuits have different components. In this context, there are two circuits, the series circuit, and the parallel circuit. The series circuit has bulbs connected in a sequence where current flows through each bulb in turn. In contrast, the parallel circuit has bulbs connected to different branches. The current flows through each bulb separately.In a series circuit, the components are a power source, resistors, and wires. A power source can be a battery or a generator that is connected in a sequence with resistors and wires. The bulbs B1 and B2 are connected in series. If bulb B2 is replaced with a connecting wire, then the circuit will become incomplete, and bulb B1 will not light up. This is because in a series circuit, if one component is disconnected, the entire circuit becomes open, and the current stops flowing. Thus, if bulb B2 is replaced with a wire, the current will bypass the bulb, and the circuit will become incomplete. In a parallel circuit, the components are a power source, resistors, and branches. The bulbs B1 and B2 are connected in parallel. If bulb B2 is replaced with a connecting wire, the circuit will still work. This is because in a parallel circuit, each bulb has its branch, and the current flows through each bulb separately. Thus, if bulb B2 is replaced with a wire, the current will still flow through bulb B1, and it will light up.

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a. If the frequency of light is increased above the threshold frequency, the
energy of the electrons emitted will _________________.
b. If the frequency of light is decreased to below the threshold frequency, the
rate at which electrons are emitted will _______________.
c. If the intensity of light is decreased, the energy of the electrons emitted will ____________________.
d. If the intensity of light is decreased, the rate at which electrons are emitted will ________________.

Answers

a. If the frequency of light is increased above the threshold frequency, the energy of the electrons emitted will increase.
b. If the frequency of light is decreased to below the threshold frequency, the rate at which electrons are emitted will decrease.
c. If the intensity of light is decreased, the energy of the electrons emitted will remain the same.
d. If the intensity of light is decreased, the rate at which electrons are emitted will decrease.

Answer:

a. If the frequency of light is increased above the threshold frequency, the energy of the electrons emitted will increase.

b. If the frequency of light is decreased to below the threshold frequency, the rate at which electrons are emitted will decrease.

c. If the intensity of light is decreased, the energy of the electrons emitted will remain the same, but fewer electrons will be emitted.

d. If the intensity of light is decreased, the rate at which electrons are emitted will decrease.

module 2 question 10

A ship sets sail from Rotterdam, The Netherlands, heading due north at 9.00 m/s relative to the water. The local ocean current is 1.52 m/s in a direction 40° north of east. What is the velocity of the ship relative to the earth?
m/s
° N of E

Answers

The velocity of the ship heading due north at 9.00 m/s relative to the water has a velocity of 10 m / s relative to the earth.

Let S represent ship, W represent water and E represent Earth.

\(V_{SW}\) = 9 m / s N

\(V_{WE}\) = 1.52 m / s NE

Resolving \(V_{OE}\) into its x and y components.

cos θ = Adjacent side / Hypotenuse

cos 40° = \(V_{OE}_{x}\) / \(V_{OE}\)

\(V_{WE}_{x}\) = 0.77 * 1.52

\(V_{WE}_{x}\) = 1.17 m / s

sin θ = Opposite side / Hypotenuse

sin 40° = \(V_{OE}_{y}\) / \(V_{OE}\)

\(V_{WE}_{y}\) = 0.64 * 1.52

\(V_{WE}_{y}\) = 0.97 m / s

\(V_{SE}\) = \(V_{SW}\) + \(V_{WE}\)

\(V_{X}\) = \(V_{SW}_{x}\) + \(V_{WE}_{x}\)

\(V_{X}\) = 0 + 1.17

\(V_{X}\) = 1.17 m / s

\(V_{Y}\) = \(V_{SW}_{y}\) + \(V_{WE}_{y}\)

\(V_{Y}\) = 9 + 0.97

\(V_{Y}\) = 9.97 m / s

R = √ \(V_{X}\)² + \(V_{Y}\)²

R = √ 1.17² + 9.97²

R = √ 1.37 + 99.4

R = √ 100.77

R = 10 m / s

Therefore, the velocity of the ship relative to the earth is 10 m / s

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Why did Thomson observe two glowing dots when he put neon gas into a
cathode-ray tube?

Answers

Answer:

Electrons accelerated to high velocities travel in straight lines through an empty cathode ray tube and strike the glass wall of the tube, causing excited atoms to fluoresce or glow.

If the participants have been reassigned, what type of variable would each have been??

If the participants have been reassigned, what type of variable would each have been??

Answers

If the participants hadn't been reassigned, age would have been a confounding variable. Option D

What are confounding variables?

A confounding variable is a variable that is associated with both the independent variable and the dependent variable.

In this case, age is associated with both video game playing and mood. Younger people are more likely to play video games, and they are also more likely to have better moods.

If the participants hadn't been reassigned, the difference in mood between the experimental and control groups could have been due to the difference in age, not the difference in video game playing.

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please help me. i have 2 hours

please help me. i have 2 hours

Answers

the missing word is clockwise moment. I hope this helps good luck

please help me. i have 2 hours

How much stronger is the electric force between two
protons than the gravitational force between them?

Answers

Answer:

Explanation:

The electric force between two protons is 10^36 times stronger than the gravitational force between them.

Answer:

Electric force is 1.23 x 10³⁶ times stronger than gravitational force.

Explanation:

First, we will calculate the gravitational force using Newton's Law:

\(F_G = \frac{Gm^2}{r^2}\\\\\)

where,

F_G = Gravitational Force = ?

G = Gravitational Constant = 6.67 x 10⁻¹¹ Nm²/kg²

m = mass of proton = 1.67 x 10⁻²⁷ kg

r = distance between protons

Therefore,

\(F_G = \frac{(6.67\ x\ 10^{-11}\ Nm^2/kg^2)(1.67\ x\ 10^{-27}\ kg)^2}{r^2}\\\\F_G = \frac{1.86\ x\ 10^{-64}\ Nm^2}{r^2}\\\\\)

Now, we will calculate the electrostatic force using Colomb's Law:

\(F_E = \frac{kq^2}{r^2}\\\\\)

where,

F_E = Electrostatic Force = ?

k = Colomb's Constant = 9 x 10⁹ Nm²/C²

q = charge of proton = 1.6 x 10⁻¹⁹ C

r = distance between protons

Therefore,

\(F_E = \frac{(9\ x\ 10^{9}\ Nm^2/kg^2)(1.6\ x\ 10^{-19}\ C)^2}{r^2}\\\\F_E = \frac{2.3\ x\ 10^{-28}\ Nm^2}{r^2}\\\\\)

Dividing both forces:

\(\frac{F_E}{F_G} = \frac{2.3\ x\ 10^{-28}}{1.86\ x\ 10^{-64}}\)

F_E = 1.23 x 10³⁶ F_G

Therefore, electric force is 1.23 x 10³⁶ times stronger than gravitational force.

Usually, we do a
when a population is hard to study, for some reason.

Answers

Usually, we use sampling when a population is hard to study, for some reason.

Sampling is a technique commonly employed in research and statistics when it is impractical or impossible to study an entire population directly. It involves selecting a subset, or sample, from the population and using the information gathered from the sample to make inferences about the entire population. This is done with the assumption that the sample is representative of the population and that the findings from the sample can be generalized to the larger population.

There are several reasons why a population might be difficult to study comprehensively. One reason is the size of the population. For example, if the population of interest is the entire world or a country, it would be practically impossible to study each individual in the population due to logistical constraints and limited resources. In such cases, sampling allows researchers to gather information from a smaller, manageable subset of the population.

Another reason for using sampling is when the population is dispersed or geographically scattered. If the population is spread out across a wide area, it can be challenging and costly to reach and collect data from every individual. Sampling allows researchers to select representative individuals or clusters from different regions, making data collection more feasible.

Additionally, there are cases where the population is inaccessible or hard to reach due to privacy concerns or ethical considerations. For example, if the population consists of individuals with certain medical conditions or sensitive personal information, it may be challenging to obtain consent or access to the entire population. In such cases, researchers can use sampling methods to obtain data from a subset of individuals who are willing to participate and meet the necessary criteria.

In summary, sampling is a valuable tool when studying populations that are hard to access, too large, or dispersed. It allows researchers to gather relevant data from a representative subset of the population and make valid inferences about the larger population, despite the challenges posed by studying the population as a whole.

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Usually, we use                  when a population is hard to study, for some reason.

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