When can the normal force of an object have the same value as the force of weight? Explain.

Answers

Answer 1

Answer:

at rest

Explanation:

at rest

If the object is at rest, net force on the object is equal to zero; therefore, the downward force (weight) must be equal to the upward force (normal force).


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QUESTION 4 A 200 kg rock lies on the surface of a planet with mass, M. The gravitational force, F exerted by the planet on the rock is 1200 N. The radius of the the planet is 700 Calculate the mass, M of the planet​

Answers

4.4 kg is  the mass, M of the planet​.

m=200 kg

M=?

F= 1200 N.

r= 700m

G=6.674×10^−11

F=GMm/r²

M=Fr²/Gm

M=5.8×10^8/1.310^−8

M=4.4 kg

Mass is used in physics to express inertia, a fundamental characteristic of all matter. Essentially, it is a mass of matter's resistance to changing its direction or speed in response to the application of a force. The change that an applied force produces is smaller the more mass a body has. The kilogram, the unit of mass in the International System of Units, corresponds to 6.62607015 1034 joule seconds using Planck's constant (SI). One joule is produced by multiplying one kilogram by one square meter per second. The kilogram is determined by exact measurements of Planck's constant since the second and the meter have previously been defined in terms of other physical constants.

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Hi can someone help me please ,Let d= 1 for second part

Answers

[tex]\begin{gathered} \text{blank}1\colon\frac{1}{4}F_e \\ \text{.} \\ \text{.} \end{gathered}[/tex]

2)

[tex]F=2.3097\cdot10^{48}\text{ Newtons}[/tex]

Explanation

the electrostatic force between two forces is given by:

[tex]\begin{gathered} F=k\frac{q_1q_2}{d^2_{}} \\ where\text{ } \\ k\text{ is a constant}(in\text{ this case we n}eed\text{ asume k=1)} \\ q_1\text{ is the charge 1} \\ q_2\text{ is the charge }2 \\ \text{and d is the distance betw}en\text{ them} \end{gathered}[/tex]

then, complete the table we need to use this equation

where

[tex]F=k\frac{q_1q_2}{d^2_{}}[/tex]

k, q1 and q2 are ginven in the table, so

Step 1

Let

[tex]\begin{gathered} charge_1=\frac{1}{4} \\ charge_2=1 \\ \text{distance}=1 \end{gathered}[/tex]

so,replace

[tex]\begin{gathered} F=k\frac{q_1q_2}{d_{}} \\ F=1\frac{\frac{1}{4}\cdot1}{1_{}}=\frac{1}{4} \end{gathered}[/tex]

hence, for tha row

[tex]\begin{gathered} \frac{1}{4}F_e \\ \end{gathered}[/tex]

Step 2

now, do the same for the next Fe, so

b)Let

[tex]\begin{gathered} charge_1=1 \\ charge_2=\frac{1}{2} \\ \text{distance}=1 \end{gathered}[/tex]

so,replace

[tex]\begin{gathered} F=k\frac{q_1q_2}{d_{}} \\ F=1\frac{1\cdot\frac{1}{2}}{1_{}}=\frac{1}{2} \end{gathered}[/tex]

hence, for tha row

[tex]\begin{gathered} \frac{1}{2}F_e \\ \end{gathered}[/tex]

Step 3

now, do the same for the next Fe, so

c)Let

[tex]\begin{gathered} charge_1=1 \\ charge_2=\frac{1}{4} \\ \text{distance}=1 \end{gathered}[/tex]

so,replace

[tex]\begin{gathered} F=k\frac{q_1q_2}{d_{}} \\ F=1\frac{1\cdot\frac{1}{4}}{1_{}}=\frac{1}{4} \end{gathered}[/tex]

hence, for that row

[tex]\begin{gathered} \frac{1}{4}F_e \\ \end{gathered}[/tex]

Step 4

now, do the same for the next Fe, so

c)Let

[tex]\begin{gathered} charge_1=\frac{1}{2} \\ charge_2=\frac{1}{2} \\ \text{distance}=1 \end{gathered}[/tex]

so,replace

[tex]\begin{gathered} F=k\frac{q_1q_2}{d_{}} \\ F=1\frac{\frac{1}{2}\cdot\frac{1}{2}}{1_{}}=\frac{1}{4} \end{gathered}[/tex]

hence, for tha row

[tex]\begin{gathered} \frac{1}{4}F_e \\ \end{gathered}[/tex]

Step 5

now, do the same for the next Fe, so

c)Let

[tex]\begin{gathered} charge_1=\frac{1}{8} \\ charge_2=\frac{1}{4} \\ \text{distance}=1 \end{gathered}[/tex]

so,replace

[tex]\begin{gathered} F=k\frac{q_1q_2}{d_{}} \\ F=1\frac{\frac{1}{8}\cdot\frac{1}{4}}{1_{}} \\ F=1\frac{\frac{1}{32}}{1_{}}=\frac{1}{32} \end{gathered}[/tex]

hence, for that row

[tex]\begin{gathered} \frac{1}{32}F_e \\ \end{gathered}[/tex]

Step 6

find the electrostastic force betweeen electrons

let

[tex]\begin{gathered} q_1=q_2=-\text{1}.602\cdot10^{19}\text{ C} \\ k=9\cdot10^9\frac{Nm^2}{C^2} \end{gathered}[/tex]

as the distance is not give, let's use

distance =1

replace in the formula

[tex]\begin{gathered} F=k\frac{q_1q_2}{d_{}} \\ F=9\cdot10^9\frac{Nm^2}{C^2}\frac{(^2-\text{1}.602\cdot10^{19}C)}{1_{}} \\ F=2.3097\cdot10^{48}\text{ N} \end{gathered}[/tex]

therefore, the electrostaic force is

[tex]F=2.3097\cdot10^{48}\text{ Newtons}[/tex]

I hope this helps you

Describe two possible sources of error in the students' measurement when measuring the speed of sound.

Answers

Two possible source of error in measuring speed is when there is error in measuring time or the distance.

What is speed?

The speed of an object is the magnitude of the change of its position over time or the magnitude of the change of its position per unit of time; it is thus a scalar quantity.

To measure speed of the body is we have to measure distance and time so when there is error in measurement of the distance and time.

Two possible source of error in measuring speed is when there is error in measuring time or the distance.

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A climbing chain pulls a roller coaster with a force of 29,738N to the top of the roller coaster 102m high. How many joules of work has it done

Answers

Answer:

3,033,276 J

Explanation:

The work can be calculated as

W = Fd

Where F is the force and d is the distance.

Replacing F by 29,738 N and d by 102 m, we get:

W = (29,738 N)(102 m)

W = 3,033,276 J

Then, it has done 3,033,276 J

how far could you pedal a bicycle at 15 km/hkm/h on the energy in 3.0 galgal of gas? (1 galgal of gas has a mass of 3.2 kgkg .)

Answers

The amount of effort or energy transferred over a given period of time is referred to as an object's mechanical power. The SI unit for mechanical power is WATT. It is a scalar number.

What does a gallon of gasoline cost?

3.7855 litres

A gallon is equal to 3.785 liters, 128 fluid ounces, 4 quarts, 8 pints, or 16 cups in American measures.

What's the weight of a gallon of gas?

A gallon of regular fuel (like gasoline) weighs six pounds, according to the Science and Technology Desk Reference. Contrarily, a gallon of water weighs around 8.4 pounds.

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Consider the diagram below, showing the locations of 6 people in front of a mirror.
Draw ray lines to show:
a. Whose image is person A able to see?
b. Whose image can’t person B see?

Answers

Answer: b and c

Explanation: most scientific naswer

Electron cloud definition

Answers

ANSWER:

STEP-BY-STEP EXPLANATION:

[tex][/tex]

a circular loop of radius rotates with angular frequency in the presence of a unifrom magnetic field of magnitude . what is the maximum induced emf? express in terms of the variables (omega), , (pi), , as needed.

Answers

The maximum induced emf on the circular loop is = Bπr²ω.

What is electromotive force?

When no current is flowing, electromotive force (EMF) equals the terminal potential difference.

Despite the fact that both EMF and terminal potential difference (V) are expressed in volts, they are not the same thing. EMF is the quantity of energy (E) that the battery supplies to each coulomb of charge (Q) that passes through.

Let, the radius of the circular loop is = r.

Angular frequency of rotation is = ω.

And, magnitude of uniform magnetic field = B.

Then, magnetic flux; Φ = B·A = Bπr² cosωt

So, induced emf : ε =  dΦ/dt = Bπr²ω sinωt

Hence, the maximum induced emf is = Bπr²ω.

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34. What temperature in the graph below indicates that heat is being used to "break links" binding liquid molecules--that is, the region where the substance is vaporizing?Select one:a. 120°b. 80°c. 60°d. 20°

Answers

We know that in a change of state heat is used to break the links between the molecules or atoms of the substance but the temperature remains the same; in the graph shown we notice that we have two portions where the temperature remains constant 20° and 120°. Since vaporizing happens at greater temperature that solid to liquid change of state we conclude that the region where this happens is 120°; therefore, the answer is A.

Conditions for uniform circular motion are constant speed and circular path. (True or false)

Answers

Uniform circular motion is a motion that is uniform in terms of speed and circular in terms of its path.

Uniform means constant speed and its path is circular.

Thus, the statement is true.

Last question please help!!!!!

Answers

Answer:

it is true

Explanation:

Answer:

True, changes of heat can be Endothermic or Exothermic only.

Explanation:

Hello, I needed help with the question boxes on what to fill in.

Answers

Given:

To find:

Fill in the blanks

Explanation:

1) Energy can undergo conversion, changing from one form to another. For example, a wind turbine converts the mechanical energy of the wind into electric energy in the power grid. This power grid can then be converted into thermal energy by an electric heater.

2) Solar panels generate electrical energy by taking radiant energy from the sun and having it undergo conversion. This process does obey the law of conservation of energy because energy isn't randomly created, but it is simply converted.

Stir the liquid occasionally to release the _______________.

Answers

Using the concept of thermodynamics, we got heat as an output when we stir the liquid occasionally.

Actually, according to the Clausius statement of the second law of Thermodynamics: Heat can transfer from a hot body to a cold body, but it cannot transfer from a cold body to a hot body unless any external work has been done on the system.

Thus when you stir a hot liquid, due to the phenomenon of the convection (It is a heat transfer process that can occur only in fluids), part of the heat from the hot liquid goes to the medium which you are stirring (Eg. spoon) and another part of heat flows to the surrounding which is at a room temperature. Thus due to these things heat energy is liberated at a higher rate

But when you went on to stir a cold liquid (let’s say it is at 19 °C), you are giving mechanical work on the system. As mentioned in the second law of Thermodynamics the heat gets transferred from cold liquid to the surrounding air (let's say 30 °C ) due to the work given (stir). But the transfer of heat is very small which could make the liquid warm only to a little amount due to which the temperature of the liquid increases (let’s say it is at 25 °C), and convection (heat transfer process in fluids. In here it is from a cold liquid to at air) also occurs a little amount. So to make this hot even more work has to be done on the system (cold liquid) if the system is closed the work to be done can also be reduced.

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where is thermocouple thermometer used

Answers

Explanation:

Thermocouples are used in applications that range from home appliances to industrial processes, to electric power generation, to furnace monitoring and control, to food and beverage processing, to automotive sensors, to aircraft engines, to rockets, satellites and spacecraft.

At 2:00 p. M. Two cars start toward each other from towns 240 miles apart. If the rate of one car is 10 mph faster than the other, how fast does each car go if they meet at 5:00 p. M. ? if 3x represents the distance that the slower car traveled, then which expression represents the distance the faster car traveled? 3 x + 10 3 x + 30 3(240).

Answers

135 miles represents the distance the faster car traveled.

Just what is distance?

Distance is an object's overall movement, regardless of direction. Regardless of an object's starting or ending point, distance can be defined as the amount of ground it has travelled.

If we call the slower vehicle's speed S, the other vehicle's speed is S + 10 mph.

They've been on the road for three hours as of 5:00 p.m. The faster car travels 3(S+10) miles, while the slower one travels 3S miles.

However, the sum of the two distances has to be 240 miles, so 3S+3(S+10)=240,

3S+3S+30=240,

6S=210, and

S=35 mph.

The faster vehicle travels at 45 mph. We can see that 3S is equal to 3x, which means that x=S=35 mph and that the faster vehicle travels 3×45=135 miles.

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How are testes and ovaries different?​

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The testicles are the female gonads, whereas the ovaries are the male gonads. The production of gametes is one of the special traits and functions of gonads.

What distinguishes the ovaries and testes?

The gonads in males are the testes, whereas those in females are the ovaries. They both work to produce sex hormones and gametes (eggs and sperm). The ovaries are responsible for producing progesterone and estrogen as well as eggs. Sperm and the hormone testosterone are produced by the testes.

What features do ovaries and testes have in common?

By secreting steroid hormones and creating gametes, adult testes and ovaries both perform crucial functions in the reproductive system (Hossain et al., 2012). The healthy growth of both the gonadal somatic cells and germ cells is necessary for gonadal functional maintenance and gametogenesis.

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If a river is flowing north at 2 m/s and you swim straight across east at 1.5 m/s, how far up shore will you be from your starting point once you reach the other side? The river is 9 m wide

Answers

The distance is 12m

The direction of movement of the body or object is defined by velocity. Speed is fundamentally a scalar quantity. Velocity is, in essence, a vector quantity. It is the rate at which distance changes. It is the displacement rate of change.

Given a river is flowing north at 2 m/s and you swim straight across east at 1.5 m/s,

We have to determine how far up shore will be from your starting point once you reach the other side when the river is 9 m wide

First, solve for the time it takes you to reach the other side. Let's let north be the y-direction and the direction across the river be the x-direction.

∆X =Vxt

9m = 1.5m/s  x t

T = 9/1.5

T= 6sconds

Now use the time you are in the water to find

∆Y= Vyt

∆Y= 2m/s x 6s

= 12m

Therefore the distance is 12m

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A spring has a equilibrium length of 0. 100 m. When a force of 40. 0 n is applied to the spring, the spring has a length of 0. 140 m. What is the value of the spring constant of this spring?.

Answers

The value of the spring constant of this spring will be 50,000 N/m, which has a equilibrium length of 0.100m applied by 40N force.

Formula for the spring force is given as-

F = (1/2) kx²

where, F = force, k= spring constant and x = change in length of the spring.

Change in length of the spring = Changed length - equilibrium length

Change in length of the spring(x) = 0.140m - 0.100m = 0.040m

Putting the values as F = 40.0 N, x = 0.040m, k =?

F = (1/2) kx²

40 = (1/2) × k × (0.040)²

k = 80/0.0016

k = 50,000 N/m

Hence, the value of the spring constant of this spring will be 50,000 N/m.

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True or false. A small amount of mass can produce a large amount of energy

Answers

The satement is true.

This comes from the fact that, according to Einstein:

[tex]E=mc^2[/tex]

and since c² is a very large number then, if we find a way to convert all the mass in energy a small amount will produce a large amount of energy.

What is the maximum speed at which a car can safely travel around a circular track of radius 142 meters if the coefficient of friction between the tires and the road is 1.07? Include units in your answer. Answer must be in 3 significant digits.

Answers

Given that the radius of the circular path is r = 142 m and the coefficient of the friction is

[tex]\mu=1.07[/tex]

The condition for the car to travel safely is

Frictional force = centrifugal force

[tex]\mu mg=\frac{mv^2}{r}[/tex]

Here, m is the mass of the car and the acceleration due to gravity is g = 9.8 m/s^2.

v is the maximum speed of the car.

[tex]\begin{gathered} v=\sqrt[]{ugr} \\ =\sqrt[]{1.07\times9.8\times142} \\ =38.58\text{ m/s} \end{gathered}[/tex]

An object is moving to the right at a constant velocity. What will happen if a force of 20 n starts acting on it in the opposite direction?.

Answers

If a force of 20 n begins acting on the object in the opposite direction, its velocity will rise.

What happens when things are moving at a constant speed?

If there are no forces acting to accelerate or decelerate an object that is already moving with a constant speed, it will continue to move at that speed in a straight line. By defining force as a vector quantity, Newton helped to clarify the aforementioned statement.

Newton's first law of motion states that any object moving at a constant speed experiences no net external forces, so the total amount of forces acting on the object must be zero.

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a sample of a gas is compressible; i.e., its volume can be significantly decreased. this is because multiple choice question. there are attractive forces between particles in the gas phase, whereas in the liquid and solid phases there are not. particles in the gas phase are smaller than they are in the liquid and solid phases. particles in the gas phase are separated by relatively large distances.

Answers

A sample of a gas is compressible; i.e., its volume can be significantly decreased because the particles in the gas phase are separated by relatively large distances.

A gas is a substance that has no constant size or form. Whilst inside a closed container, gasoline will amplify to fill the field. An instance of gas is the air you breathe. The gas interior of your digestive tract is fabricated from the air and different gases.

Traits of Gases :

* Gases have neither definite shape nor particular volume. They expand to the dimensions of their container.

* Gases are fluid and go with the flow effortlessly.

* Gases have low density, except compressed.

* Gases diffuse (mix and unfold out) and effuse (tour thru small holes).

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How much work is done pushing a block 200 m with a force of 30 newtons?​

Answers

90 J

teacher approved

A baby elephant trots in a straight line along river. The horizontal position of the elephant in meters over time is shown below. Questions: 1. What is the displacement of the elephant between 8 s and 24 s ?2. What is the distance traveled by the elephant between 8s and 24s?

Answers

looking at the graph,

1) Displacement includes direction

Displacement from 8s to 16s = 15 - 6 = 9

Displacement fbetween 16s and 24s = 0 - 15 = - 15

Displacemet between 8s and 24s = 9 - 15

Displacemet between 8s and 24s = - 6m

2)

Distance does not include direction

from 8s to 16s,

distance travelled = 15 - 6 = 9 m

From 16s to 24s,

distance travelled = 15 - 0 = 15

Total distance between 8s and 24s = 9 + 15

Total distance between 8s and 24s = 24 m

two objects of identical mass begin from rest at the same height at the top of two different hills - hill a and hill b. the hills are inclined at two different angles. the objects are released from rest and slide to the bottom; resistance forces can be considered to be negligible. from which hill will the ball have the greatest speed at the bottom of the incline?

Answers

When two objects of identical mass begin from rest at the same height at the top of two different hills - hill a and hill b, then both of the balls will have the same speed at the bottom of the incline. It is because, earth provides same amount of gravity to both of the balls. Therefore both will have same speed.

In Physics, the relation between gravity and mass is described as that both mass and gravity are directly proportional to each other.

In other words, if an object has less mass it will experience lesser amount of gravity and vice versa.

In our case, we are provided with two balls having same mass, as both have same mass so both will experience same amount of gravity which means the gravity will have zero effect on the speed with which they move.

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The energy of the metal d orbitals _________ due to an increase in electrostatic repulsion?.

Answers

The energy of the metal d orbitals increases due to an increase in electrostatic repulsion.

What is electrostatic repulsion?

Silica nanoparticles that are hydrophilic by themselves are not surface active. However, they establish a potent electrostatic contact with ionic surfactants, which influences the surface behavior of those substances. We describe the interactions between n-heptane and anionic surfactant solutions when hydrophilic silica nanoparticles are present. The utilized particles' sizes are 9 and 30 nm, and the surfactants are sodium dodecyl sulfate (SDS) and dodecyl benzene sulfonic acid (DBSA).

We demonstrate via experimental tensiometry that, in the presence of surfactants, nanoparticles maintain their non-surface-active nature, and that the surface activity of the surfactant directly rises with the concentration of nanoparticles. This phenomenon was explained by the electrostatic repelling contact between the molecules of anionic surfactant and the negatively charged nanoparticles.

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your rl circuit has a characteristic time constant of 20.0 ns, and a resistance of 5.00 . what is the inductance of the circuit

Answers

Magnetic fields and electric circuits are connected via inductance. When a sine wave's peak and zero axis crossing occur at the same time, it is said to be in-phase.

How is inductance figured out?

For the inductance calculation, use the formula L = V*Ton/Ipk. All of the numbers needed should be right there on the oscilloscope.

What is inductance in magnetic circuit?

Inductance is a property of an electric circuit by which a changing magnetic field creates an electromotive force, or voltage, in that circuit or in a nearby circuit.

What is inductance in DC circuit?

An Inductor is equivalent to a short circuit to direct current, because once the storage phase has finished.

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what is the apparent weight of a 95 KG astronaut on this rocket

Answers

Given:

• Acceleration of rocket = 28.0 m/s²

,

• Mass of astronaut = 95 kg

Let's find the apparent weight of the astranaut.

In a direct rocket motion, as we are coming towards the Earth the weight reduces while as the rocket is going up, you feel more weighted.

Now, to find the apparent weight of the astranaut, apply the formula:

[tex]A_w=m(g+a)[/tex]

Where:

Aw is the apparent weight

m is the mass = 95 kg

g is acceleration due to gravity = 9.8 m/s²

a is the acceleration of the rocket = 28.0 m/s²

Thus, we have:

[tex]\begin{gathered} A_w=95(9.8+28) \\ \\ A_w=95(37.8) \\ \\ A_w=3591\text{ N }\approx3.591\text{ kN} \end{gathered}[/tex]

Therefore, the apparent weight of the astranaut is 3.591 kN

ANSWER:

3.591 kN

The element magnesium has 12 electrons. In how many energy levels are the electrons of magnesium?

Answers

Answer: energy level 2

Explanation:

i did this before

Answer: Magnesim’s electrons are in 3 energy levels .

Explanation: since magnesium has 12 electrons and first shell can only accommodate up to 2 electrons , as shown in picture too, magnesium will have 2 electrons in this first shell or energy level.

Now about rest 10 electrons, 8 will be in 2nd energy level and remaining 2 will be valance electrons and will occupy 3rd shell.


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During an autumn storm, a 0.012-kg hail stone traveling at 20.0 m/s made a0.20-cm-deep dent in the hood of Darnell's new car. What average force didthe car exert to stop the damaging hail stone?

Answers

Answer:

1200 N

Explanation:

First, we need to calculate how much time the force was applied. If the stone traveled at 20.0m/s and made a 0.20 cm deep dent, the time is equal to

[tex]\text{ Avg }speed=\frac{distance}{time}\Rightarrow time=\frac{distace}{Avg\text{ }speed}[/tex]

Where the distance is 0.20 cm = 0.0020 m and the average speed can be calculated as:

[tex]\text{ avg speed = }\frac{v_i+v_f}{2}=\frac{20\text{ m/s + 0 m/s}}{2}=10\text{ m/s}[/tex]

Therefore, the time is equal to

[tex]time=\frac{0.0020\text{ m}}{10\text{ m/s}}=0.0002\text{ s}[/tex]

Then, the force can be calculated using the following equation for impulse

[tex]\begin{gathered} Ft=mv \\ F=\frac{mv}{t} \end{gathered}[/tex]

Where m is the mass, v is the speed and t is the time, so replacing m = 0.012 kg, v = 20 m/s and t = 0.0001 s, we get

[tex]F=\frac{0.012\text{ kg \lparen20 m/s\rparen}}{0.0002\text{ s}}=1200N[/tex]

So, the average force was 1200 N

During autumn, the storm travels at a speed of 20 m/s, then the average force the car has to exert to stop the damaging hail storm is 1200 N.

What is Force?

A force in physics is an effect that has the ability to modify an object's motion. A bulk object's velocity can vary, or accelerate, as a result of a force. Intuitively, a push or a pull can be used to describe force. Being a vector quantity, a force also has magnitude and direction. The SI unit of newton is used to measure it (N). The letter F symbolizes for force.

As per Newton's second law's original formulation, an object's net force is equal to the speed at which momentum is changing over time.

According to the given information in the question,

Speed, s= 20 m/s

Average speed, s = Distance/Time

s = [v(i) + v(f)] / 2

s = (20 + 0)/2

s = 10 m/s

Now calculate the time,

Time, t = 0.0020/10

t = 0.0002 seconds.

Use the equation for impulse,

f × t = mv

⇒f = mv/t

f= (0.012 × 20)/0.0002

f = 1200 N

Therefore, the force applied is 1200 N.

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Use your answers from #1 and #2 to find the length of each arc between gondola cars. Use 3.14 for pi and round to the nearest hundredth. You must write out all the numbers you are multiplying together, meaning, show your work for full credit. Find the x-component of thisvector:47.3m39.40 Calculate the mass of iron (0.444 J/goC) that can be heated from 5.4C to 22.8C using +41.6 J of energy Algebraic models grade 12 math please write the answers without explaining thank you. Select the correct answer.What is the solution to |2x + 3| = 15? Emmet opened a savings account and deposited 1,000.00 as principal the account earns 8%interest compounded monthly what is the balance after 9 years What is the wavelength of the wave shown below?A.0.5 cmB.2.4 cmC.0.4 cmD.1.0 cm How does childbirth affect the career trajectory of women?O Childbirth increases the productivity of working mothers in professional occupations.Most countries are not supportive of time off work for childbirth.O Taking time off for hildbirth negatively impacts women's careers in many occupations.O Taking time off for childbirth has no effect on career trajectories. factor they expression completely 9x21 What is the end behavior of f(x) =2^x 5 as x goes to infinity? Select ALL the pairs of points so that the line between these points has a slope of 2/3?(0,0) and (3, 2)(1,5) and (4,7)(-2,-2) and (4,2)0 (0,0) and (2,3)(20, 30) and (-20, -30) A cafeteria serves lemonade that is made from a powdered drink mix. There is a proportional relationship between the number of scoops of powdered drink mix and the amount of water needed to make it. For every 2 scoops of mix, one-half gallon of water is needed, and for every 6 scoops of mix, one and one-half gallons of water are needed.Part A: Find the constant of proportionality. Show every step of your work. (4 points)Part B: Write an equation that represents the relationship. Show every step of your work. (2 points)Part C: Describe how you would graph the relationship. Use complete sentences. (4 points)Part D: How many gallons of water are needed for 10 scoops of drink mix? (2 points)please help asap its almost to late A rectangular pyramid has a volume of 90 cubic feet. What is the volume of a rectangular prism with the same size base and same height?choice;45 cubic feet90 cubic feet270 cubic feet30 cubic feet A bag contains 50 marbles. Marsha chooses a marble, records its color, and then puts the marble back into the bag. Marsha repeats this process and records 7 red marbles and 3 yellow marbles. What is the ratio of the number of red marbles to the number of yellow marbles she chooses Campsite A and campsite B are located directlyopposite each other on the shores of Lake Omega,as shown in the diagram below. The two campsitesform a right triangle with Sam's position, S. Thedistance from campsite B to Sam's position is1,300 yards, and campsite A is 1,700 yards from hisposition1,700 yardsLake OmegaB1,300 yardsSWhat is the distance from campsite A to campsiteB, to the nearest yard? Which of the following objects has gravitational energy? CHOOSE TWO ANSWERSa book on the edge of a tablea ball sitting on the floora falling skydivera car driving on a road solve using elimination-10x - 10y = 10 -2x - 5y = -19(_ , _) As a result of the Battle of Trafalgar:the United States was forced to choose sides and fought the War of 1812 with the British.France could not invade Britain.Napoleon imposed the Continental System.All of the choices are correct. Which of these inferences about the speaker is best supported by stanzas 3 and 4?And both that morning equally layIn leaves no step had trodden black.Oh, I kept the first for another day!Yet knowing how way leads on to way,I doubted if I should ever come back.I shall be telling this with a sigSomewhere ages and ages hence:Two roads diverged in a wood, and l-I took the one less traveled by,And that has made all the difference.A. He wishes there were a third path to choose from.B. He knows that there's no going back once certain choices are made.C. He has no desire to get off the path he's on.D. He feels he may be making a mistake about the path he is taking. How do you write this as a power? 8x8x8x8x8x8 A) 86 B) 86 C) 68 D) 87