5. A boat moves through the water with two forces acting on it. One is a 2000 N forward push by the water on the propeller, and the other is a 1800 N resistive force due to the water around the bow. a. What is the acceleration of the 1000kg boat

Answers

Answer 1

Two forces acted on a 1000-kg boat. One is q 2000 N forward and the other is 1800 N resistive force. The acceleration of the 1000 kg boat is  0.2 m/s²

The relation between net force applied on an object and the acceleration is f-given by the  Newton second law of motion

F = m . a

Where:

F = net force

m = mass

a = acceleration

In the given problem, there are two forces. Hence,

F = 2000 - 1800 = 200

m = 1000 kg

F = m a

200 = 1000 a

a = 200/1000 = 0.2 m/s²

The acceleration is 0.2 m/s²

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Related Questions

The energy flow to the earth from sunlight is about 1.4kW/m^2
(a) Find the maximum values of the electric and magnetic fields for a sinusoidal wave of this intensity.

(b) The distance from the earth to the sun is about
1.5×10^11 m. Find the total power radiated by the sun

Answers

The maximum values of the electric and magnetic fields for a sinusoidal wave of this intensity E_max ≈ 1026 V/m.

Ours is given;

I = 1.4kW/m2 = 1400 W/m2 is the intensity.

The following is the formula for the maximum value of the electric field in respect to intensity:

E max = (I/2(o•c))

Where;

Electric constant _o is equal to 8.85 10(-12) C2/N.m2.

c is the speed of light, which is 3 10(8) m/s.

Thus;

E max = √(2 × 1400)/(8.85 × 10^(-12) × 3 × 10^(8)))

E max 1026 mV

The maximal magnetic field formula is;

E max/c = B max

B max = 1026/(3 × 10^(8))

B max = 3.46 × 10^(-6) (-6) T

The equation for total power is;

P = IA

Where;

A = area = 4 r2.

Ours is given;

Radius: 1.5 10(11) meters

A = 4π × (1.5 × 10^(11))

² = 2.82 × 10^(23) m²

P = 1400 × 2.82 × 10^(23)

P = 3.95 × 10^(26) W

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If A and B are nonzero vectors for which A·B = 0, it must follow that A) A×B = 0. B) A is parallel to B . C) |A ×B | = AB. D) | A× B| = 1.

Answers

If A and B are nonzero vectors for which A·B = 0, it must follow that A is perpendicular to B. This is because the dot product of two vectors is equal to the product of their magnitudes and the cosine of the angle between them. If the dot product is zero, then the cosine of the angle between the vectors is also zero, which means that the vectors are perpendicular.

It does not necessarily follow that A×B = 0, |A ×B | = AB, or | A× B| = 1. The cross product of two vectors is not necessarily zero, and its magnitude is equal to the product of the magnitudes of the two vectors and the sine of the angle between them, not the cosine.



Please brainliest

What does chronometer movement mean?

Answers

Chronometer movement is a term used to describe a type of watch movement that has been tested and certified to meet high accuracy standards. Chronometer movements are known for their precision and reliability, and are commonly found in high-end watches.

The Benefits of a Chronometer Movement: Why Accuracy Matters in a High-Quality Watch

When it comes to choosing a watch, one of the most important features to consider is the movement, or type of mechanism that powers the watch. Specifically, a chronometer movement is one of the highest quality movements available, and it can make a huge difference in the accuracy and reliability of a watch. In this essay, we will discuss the benefits of a chronometer movement, and explain why having an accurate watch is so important.

One of the major benefits of a chronometer movement is its accuracy. Chronometer movements are tested and certified by the Official Swiss Chronometer Testing Institute (COSC) to meet extremely high accuracy standards. This means that watches with a chronometer movement can keep time with an accuracy of up to -4/+6 seconds per day, which is far more accurate than most standard movements. This accuracy ensures that the watch will keep time accurately, even when subjected to external factors such as temperature and pressure.

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Which of the following is true about Russia's natural resources?
A: The forested regions of Siberia are the largest in the world.
B: Its resources are easy to extract.
C: The nation doesn't have large reserves of coal or natural gas.
D: Russia is among the world's bottom producers of nickel and aluminum.

Answers

Answer:

A: The forested regions of Siberia are the largest in the world.

Explanation:

a book weighs 6 n. when held at rest above your head the net force on the book is

Answers

Answer:

6x9.8=58.8N

explanation:

F=MA

what is the wavelength of this wave?
4cm
7cm
8cm
14 cm

what is the amplitude of this wave?
4cm
7cm
8cm
14cm

Answers

The wavelength of the given transverse wave is 8 cm and the amplitude is approximately 14 cm.

What is wavelength ?

Wavelength of a transverse wave is the distance between two consecutive crests or troughs of the wave. Wavelength of a wave is inversely proportional to the  frequency and energy  of the wave.

The amplitude of a transverse wave is the distance from the base line to the top of the crest or to the bottom of the trough.It is directly proportional to the frequency of the wave.

For the given wave, the wavelength is 8 cm and the amplitude that is , the distance to the base line to the top of the peak is 14 cm.

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An engine absorbs 2310 J as heat from a hot reservoir and gives off 830 J as heat to a cold reservoir during each cycle. What is the efficiency of the engine

Answers

The efficiency of the heat engine giving heat from a hot reservoir to a cold reservoir is calculated to be 64%.

Given that,

Heat energy absorbed Q₁ = 2310 J

Heat energy released Q₂ = 830 J

The efficiency of the heat engine is given by the formula and putting the values in it we have,

η = [1 - (Q₂/Q₁)] × 100

where, η is efficiency

⇒ [1 - (830/2310)] × 100 = 0.64 × 100 = 64%

Thus, the efficiency of the heat engine giving heat from a hot reservoir to a cold reservoir is calculated to be 64%.

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What did you include in your response? Check all that apply. Water molecules are made of two different kinds of atoms. All water molecules have twice as many hydrogen atoms as oxygen atoms. All water molecules have one oxygen atom for every two hydrogen atoms.

Answers

Water molecules are made of two different kinds of atoms.

All water molecules have twice as many hydrogen atoms as oxygen atoms.

All water molecules have one oxygen atom for every two hydrogen atoms.

What is the importance of water?

Water to replenish the lost liquid from sweat. You also need enough water in your system in order to have healthy stool and avoid the problem of constipation. Our kidneys are important for filtering out waste material through the help of urination. Adequate water intake helps our kidneys to work more efficiently and helps to prevent the problem of kidney stones.

Water is so important because sixty percent of our body weight is comprise of water. Our bodies use water in all the cells, organs, and tissues, to help regulate body temperature and maintain other bodily functions. Water helps improve the circulation of oxygen throughout the body. It also plays a crucial role in the digestion of food. Water is a very important component of saliva, which helps break down food. The excretion of waste in the human body requires water.

So we can conclude that all the options are correct.

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How is eustress different from distress Class 12 psychology?

Answers

The difference between the two can be explained by the fact that the energy that is provided during eustress is adequate to meet the requirements of the situation, whereas the energy that is provided during distress is either excessive or inefficient.

A person is said to be suffering from distress when the effects of stress on them are negative, while they are said to be experiencing eustress when the effects of stress on them are positive.

A phenomenon known as eustress is what provides us with the energy and the motivation to bring about change. It makes us more capable of overcoming challenges, including illness and gives us the ability to have a more optimistic outlook on life.

For instance, a person may experience emotional distress when they end their relationship with a partner, even though they are aware that this decision is in their best interests.

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A 150-kg object takes 1.5 minutes to travel a 2,500-meter straight path. it begins the trip traveling 120 meters per second and decelerates to a velocity of 20 meters per second. what was its acceleration? responses −1.11 m/s2 negative 1.11 meters per second squared, −0.3 m/s2 negative 0.3 meters per second squared, 1.11 m/s2 plus 1.11 meters per second squared, 80 m/s2

Answers

Answer:

A. −1.11 m/s2

Explanation:

To calculate the object's acceleration, we can say:

acceleration = (final velocity - initial velocity) / time

The object's initial velocity is 120 m/s, its final velocity is 20 m/s, and the time it takes to travel the 2,500-meter path is 1.5 minutes, or 90 seconds (1.5 x 60 = 90).

Therefore:

acceleration = (20 m/s - 120 m/s) / 90 s = -1.11 m/s^2

Note

The negative sign, means the object is decelerating and not accelerating because the object is slowing down during the trip.

it is decreasing its speed as it travels, so it's slowing down over time. The absolute value of -1.11 is also called deceleration.#SPJ4

A cylinder with cross-section area A floats with its long axis vertical in a liquid of density p. Part A Pressing down on the cylinder pushes it deeper into the liquid. Find an expression for the force needed to push the cylinder distance z deeper into the liquid and hold it there. Express your answer in terms of the variables P, A, and c. F = pAcg Submit Previous Answers ✓ Correct Part B A 5.0-cm-diameter cylinder floats in water. How much work must be done to push the cylinder 17 cm deeper into the water?

Answers

PART A:

The buoyant force is given by F = pAcg, where p is the density of the liquid, A is the cross-sectional area of the cylinder, and g is the acceleration due to gravity.

PART B:

Multiplying the force by the distance the cylinder is pushed, 17 cm, we get the work done to be W = (39.4 N)(0.17 m) = 6.74 J. So, the work done to push the cylinder 17 cm deeper into the water is 6.74 J.

THE CYLINDER EXPRESSION

Part A:

The force needed to push the cylinder distance z deeper into the liquid and hold it there is given by the buoyant force acting on the cylinder, which is equal to the weight of the fluid that the cylinder displaces. This buoyant force is given by F = pAcg, where p is the density of the liquid, A is the cross-sectional area of the cylinder, and g is the acceleration due to gravity.

Part B:

To find the amount of work done to push the cylinder 17 cm deeper into the water, we need to find the force required to do so and multiply it by the distance over which the force is applied. Using the formula from Part A, the force required is F = pAcg = (1000 kg/m³)(pi(0.05 m)²)(9.8 m/s²) = 39.4 N. Multiplying this force by the distance the cylinder is pushed, 17 cm, we get the work done to be W = (39.4 N)(0.17 m) = 6.74 J. So, the work done to push the cylinder 17 cm deeper into the water is 6.74 J.

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Amy and George are both the same weight 100 N. Amy wears snowshoes with an area of 250cm² and George wears skis with an area of 350cm².calculate the pressure exerted by each of them on the snow.​

Please help, I am so confused

Answers

Pressure is the force exerted per unit area. The pressure exerted by Amy is 40 N/m² and the pressure exerted by George is 28 N/m².

What is pressure?

Pressure exerted by an object is the force exerted by it in a unit area. Thus pressure can be defined as the ratio of force to the area. Pressure is a common variable in physical measurements and it has the unit of N/cm², pascal, atm, bar etc.

The force exerted by an object can be in the form any stress or strain or as push or pulling. Th more force acting on a smaller area higher will be the pressure on it.

Given that, the force of the two persons by their weight is 100 N. The are of Amy's shoe is 250 cm² or 0.25 m².

pressure = 100 N /  0.25 m² = 40 N/m²

similarly pressure by George = 100 N/ 0.35 m² = 28 N/m²

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Density is mass per unit of volume. Which pair of lab instruments would a student use to measure the density of seawater?a caliper and a flaska stopwatch and a beakera balance and a beakera meter stick and a temperature probe.

Answers

Pair of lab instruments would a student use to measure the density of seawater the a balance and a graduated cylinder.

The volume of the seawater is calculated by a graduated cylinder and the mass is obtained by a balance we can find the density of the sea water.For samples containing solids pouring liquid into the graduated cylinder must be done quickly to avoid loss of solids.

Used when specified by the method, Used for sample volumes and chemical additions, where: Measured volume is greater than 25 mL, and Accuracy within 0.5% is acceptable. If the sample contains large amounts of solids, care must be taken to ensure the contents of the graduated cylinder is mixed during adjustments.

Graduated cylinder should, Have sufficient capacity, Be as close to the desired volume as feasible, Have graduations that allow measurement to the desired volume.

The given question is incomplete, the complete question is

Density is mass per unit of volume. Which pair of lab instruments would a student use to measure the density of seawater?

1. a caliper and

2. a flask

3. a stopwatch and a beaker

4. a balance and a graduated cylinder

5. a meter stick and a temperature probe

Hence, the correct option is 4.

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A student would use a balance and a graduated cylinder as a pair of lab tools to calculate the density of seawater.

We can determine the density of the sea water by using a graduated cylinder to calculate the volume and a balance to get the mass.

Pouring liquid into the graduated cylinder for samples that include solids must be done rapidly to prevent solids loss.

when the method so specifies, Used when the measured volume is higher than 25 mL and an accuracy of 0.5% is acceptable for chemical additions and sample quantities. Care must be taken to ensure that the contents of the graduated cylinder are mixed during adjustments if the sample contains significant amounts of solids.

Graduated cylinders have enough capacity, be as near as you can to the specified volume, have graduations that make it possible to measure the desired volume.

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In Fig. 5-64, a force F of magnitude 12 N is applied to a FedEx box of mass m_2 = 1.0 kg. The force is directed up a plane tilted by theta = 37degree. The box is connected by a cord to a UPS box of mass m_1 = 3.0 kg on the floor, The floor, plane, and pulley are frictionless, and the masses of the pulley and cord are negligible. What is the tension in the cord?

Answers

The forces acting on m 2 are F acting uphill, T acting downward, and m 2 gsin acting downhill, where o=37 o. The rightward-pointing tension is the sole horizontal force acting on m 1. The result of the tension is 4.6 n.

How do tension forces work?

In physics, a tension force is a force created when a rope, string, or cable is stretched as a result of an external force. Along the length of the rope or cable, tension is exerted in the opposite direction as the force acting on it. Stress, tensity, and tautness are other terms that may be used to describe tension.

Describe tension force with an example.

Compression force's opposite is tension. Every object in the scene that is in contact with another one produces a force.

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How could lewis and the other staff members of pearson physicians group prepare for natural disasters, such as the tornado?.

Answers

Lewis and other staff members of Pearson Physicians Group can prepare for natural disasters, such as the tornado: by being proactive, building storm shelters and by being on the lookout for impending disaster warnings.

How to prepare for natural disaster?

By being proactive during natural disasters involves ensuring that safety facilities are put into consideration during the construction of building, following established disaster response guidelines, and also providing for basic essential supplies for staff and patients.

To prepare for natural disaster: assess your risk – internally and externally, create an emergency management plan, create a crisis communications plan and assemble emergency supplies.

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A 8.3 cm diameter loop of wire is initially oriented perpendicular to a 1.5 T magnetic field. It is rotated so that its plane is parallel to the field direction in 0.26 s. What is the average induced emf in the loop

Answers

A wire loop with an initial 8.3 cm diameter is pointed directly at such a 1.5 T magnetic field. The loop's average induced emf is o.29 v.

How does EMF work?

electromagnetic radiation-induced electric and magnetic forces. Researchers are examining whether the electromagnetic fields (EMFs) produced by electrical equipment, wireless and cellular cellphones, and power lines can result in cancer or other negative health effects. likewise known as electromagnetic field.

Do people possess EMF?

Non-ionizing EMFs can come from both natural and man-made sources. One examples of a naturally present EMF is the global magnetic field, which makes the compass needle point north. That both ELF and RF categories of the non-ionizing portion of the spectrum apply to human-made EMFs.

∈εc = - (ΔΦ-θ)/Δt

= - (ABΔcos⁡θ)/Δt

= - (π(0.110 m)² 1.5 T(cos⁡90^∘-cos⁡0^∘)/(0.20 s)

= - (π(0.110 m)² 1.5 T(0-1) /(0.20s)

avg. emf = 0.29 V

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NEED DONE TNIGHTTTT PLEASEEE

Answers

The acceleration due to gravity experienced by the cosmonauts is 8.8 m/s².

What is the acceleration due to gravity experienced by the cosmonauts?

The magnitude of Earth's gravitational field and the acceleration due to gravity experienced by the cosmonauts is calculated as follows;

E = Gm / r²

g = Gm / r²

where;

G is universal gravitation constantm is the mass of Jupiterr is the radius of Jupiter from the spacecraftE is the Earth's gravitational field g is acceleration due to gravity

The acceleration due to gravity experienced by the cosmonauts is calculated as

g = ( 6.67 x 10⁻¹¹ x 5.97 x 10²⁴ ) / ( 3.59 x 10⁵ + 6.37 x 10⁶ )²

g = 8.79 m/s²

g ≈ 8.8 m/s²

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A student slides her 80.0-kg desk across the level floor of her dormitory room a distance 2.00 m at constant speed. If the coefficient of kinetic friction between the desk and the floor is 0.400, how much work did she do?

Answers

Answer:

628 J  

Explanation:

Force of friction x distance = work

force of friction = normal force * coeff

                          =  ( 80 kg * 9.81 m/s^2) * .4 = 313.92 N

3139.2N  * 2 m  = 627.84  J  = ~ 628 J

Which of the following is not a unit of pressure?
O atmosphere
O psi
O N/m2
O mm of mercury
O pascal
O none of the above

Answers

The pressure unit is not the Newton. It is a measure of force. Newton is the right answer, thus.

What are the 4 pressure units?

Other pressure measurements include pounds per square inch, bar, centimetres of water, millimetres of mercury, inches of mercury (used to measure blood pressure), torr, MSW, and FSW. Atmospheric pressure is measured in atm.

What are the 5 pressure units?

Bar, atm, Pascal, kilo Pascal, and torr are the five different pressure units. The perpendicular force applied in a given region is what is referred to as pressure.

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During a game of handball, you strike the ball with a mass of. 06 kg, and it accelerates to the left at a rate of 13. 7 m/s2. What force did your hand exert on the ball?.

Answers

The force exerted by the hand on the ball has a mass of 0.06 kg is 0.822 N

The mass of the ball = 0.06 kg

The acceleration of the ball = 13.7 m/s²

In physics, force is defined as:

Pushing or pulling an object with mass changes its velocity. A force is an external factor that can alter the body's state of rest or motion. It has size and direction.

The force exerted on the ball can be found using the formula,

              F = ma

where F is the force

          m is the mass

          a is the acceleration

Let us substitute the known values in the above equation, we get

           F = 0.06 x 13.7

              = 0.822 N

Therefore, the force exerted on the ball is 0.822 N

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Combine newton's 2nd law and hooke's law for a spring to find the acceleration of the block a(t) as a function of time. Express your answer in terms of k , m , and the coordinate of the block x(t).

Answers

The combined formula of Newton's second law and Hook's law to find the acceleration of a block as function of time is a(t) = [k. t (v0 + vf)]/2m.

What is the Newton's second law of motion?

According to Newton's second law of motion, force applied to any object is directly proportional to the product of mass and acceleration.

F = ma

As we know that the Hook's law is given as;

F = kx

Combining two equations together; we get

ma = kx

So, a = kx/m

x is the extension of the spring

So, x = (v0 + vf)*t/2

a = kx/m= {k* (v0 + vf)*t/2}/m

So, a = [k. t (v0 + vf)]/2m

Thus, combined formula of Newton's second law and Hook's law to determine the acceleration of a block as function of time is a(t) = [k. t (v0 + vf)]/2m.

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Did Darwin use a chronometer?

Answers

No, Charles Darwin did not use a chronometer. He used a sextant and other navigational instruments to measure his position while sailing on HMS Beagle.

Navigational Instruments Used by Charles Darwin on HMS Beagle

Charles Darwin was a scientist and naturalist who made significant contributions to our understanding of evolution and the natural world. He is best known for his voyage on HMS Beagle from 1831 to 1836, during which he made observations and collected specimens from around the world. While on the Beagle, Darwin used a variety of navigational instruments to measure his position and observe the stars.

The most important tool that Darwin used was a sextant. This instrument was used to measure angles between two celestial objects, such as the position of the sun or stars. Using this data, navigators could calculate their position on Earth. Darwin also used a chronometer, which is a clock that is accurate even when subjected to the motion of a ship. This allowed him to maintain accurate time and calculate longitude.

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Two people stand in place and pull on a rope in opposite directions. Which of the following correctly describes the movement of a flag tied in the middle of the rope

Answers

The rope's center flag remains stationary. Because the force being provided by your team to pull the flag is equal to the force being exerted by the opposing team but in the opposite direction, the flag does not move. The forces are acting in opposing ways.

It balances the forces acting on the rope. The flag in the middle of the rope won't move when the forces are balanced. One team must exert more force than the other in order to win the game.

Two forces are said to be balanced when their strengths are equal but their directions of action are opposing. Once more, tug-of-war is a prime illustration. The forces are balanced if the pullers are exerting equal force but going in the opposite direction on either side of the rope. There is hence no motion.

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A car starts rolling down a 1-in-4 hill (1-in-4 means that for each 4m traveled along the road, the elevation change is 1m) How fast is it going when it reaches the bottom after traveling 55m?
(a) ignore friction.
(b) Assume an effective coefficient of friction equal to 0.10

Answers

The velocity of the car when it reaches the bottom after traveling 55m is equal to 16 m/s.

What is the equation of motion?

Equations of motion are used to explain the concept of motion such as the time, position, velocity, and acceleration at several times. The equations of motion give the expression between velocity, time, displacement, and acceleration.

Given,  an effective coefficient of friction = 0.10

The distance traveled by car, S = 55 m

sinθ = 1/4

θ = 14.47°

mgsinθ  - μ mg cos θ  = ma

9.8 (sin 14.47) - 0.10 cos 14.47 = a

a = 2.448 - 0.968

a = 2.35 m/s²

We can determine the final velocity of the car from the third equation of motion:

v² - u² = 2aS

(v)² - 0² = 2 × 2.35 × 55

v =  16 m/s

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Measure the initial force (in Newton) needed to get the brick going, as well as the force needed to keep it going smoothly once it started moving.
The brick has a string tied around it. Which is used to love the brick.

Answers

The weight of the brick and the amount of friction it experiences with the surface it is resting on will determine the initial force required to start the brick moving. The initial force required to move a brick would be 32 N if the brick were built of concrete, weighed 8 kg, and had a 0.4 coefficient of friction with the surface.

What exactly is a force?

Any physical action that can modify the velocity, direction, shape, or energy of an item is referred to as having force. It is a fundamental idea in physics, and examples of it in more complicated phenomena as well as in real-world situations can be found.

The force of gravity, which holds us on the ground, and the force used when pushing or dragging an object are two examples of common forces. The interactions between atoms and particles and their effects on the behavior of larger objects are explained by more complicated forces, such as the force of magnetism. In the end, all forces arise from interactions between particles, and the study of these forces' behavior falls under the purview of physics.

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what is the magnitude of the force f⃗ on the -10 nc charge in (figure 1)? suppose that a = 2.4 cm.

Answers

The force is -7.81105 N in magnitude. The object is propelled by external forces. The object's overall motion is unaffected by an internal force.

In science, what exactly is a force?

The term "force" has a clear definition in science. It is perfectly acceptable to refer to a force at this level as a push or a pull. An object does not "have in it" or "contain" a force. One object is subject to a force from another.

What is an illustration of force?

A force is a push that has the power to accelerate something. This can literally mean pushing something to move it around the room, like a big piece of furniture.

F = Kq1q2/r^2

q1 and q2 = charges

K = electric constant

r = distance of separation

F = force

Then we have;

F = 9 * 10^9 * 5 * 10^-9 * (-10 * 10^-10)/(0.018)^2

F = -4.5 * 10^-8/3.24 * 10^-4

F = -7.81×10⁻⁵ N

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Two-year-old Dirk's sentences—"Dad come," "Mom laugh," and "Truck gone"—are examples of
A) babbling.
B) receptive language.
C) telegraphic speech.
D) universal grammar.

Answers

Babbling, is Two-year-old Dirk's sentences—"Dad come," "Mom laugh," and "Truck gone"—are examples.

What is a sentence ?

A sentence is a group of words that contains at least one subject and one predicate and makes complete sense. Note: a sentence starts with a capital letter and ends with a full stop. Example: A good businessman maintains good relations with his customer.

What is full sentence?

A complete sentence has to have a subject and a verb, and the verb has to be a "finite": A sentence with its main verb in an '-ing' form will not be a complete sentence. *Marge swimming. A sentence with its main verb in an infinitive form ("to" + verb) will not be a complete sentence. *Homer to swim.

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On a frozen pond, a 10 kg sled is given a kick that imparts to it an initial speed of 7.4 m/s. The coefficient of kinetic friction between sled and ice is 0.13. Find the distance the sled moves before coming to rest. The acceleration of gravity is 9.8 m/s2 . Answer in units of m.

Answers

The sled travels 21.5 meters before coming to a stop.

What is coefficient of kinetic friction?

The coefficient of friction measures the amount of friction between two surfaces. Calculating the resistance to motion at the interface of two surfaces of similar or different materials is what a coefficient of friction is. COF (coefficient of friction) is a dimensionless quantity defined as the ratio of friction force to normal force (Eqn (2.1)). Lubricous materials have a coefficient of friction (COF) less than 0.1.

Here,

coefficient of kinetic friction=0.13

u=7.4 m/s

g=9.8 m/s²

a=coefficient of kinetic friction*g

=0.13*9.8

a=-1.274 m/s²

v=0

v²=u²+2as

0=7.4²-2*1.274*s

0=54.76-2.548s

s=54.76/2.548

s=21.5 m

The distance the sled moves before coming to rest is 21.5 m.

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A basketball player is dribbling a basketball at a speed of 10 mph. The basketball has a mass of 0.625 kg and a radius of 0.11 m. Calculate the angular momentum of the basketball.

Answers

In order to calculate the angular momentum of the basketball, we need to know the rotational speed of the ball. Since the ball is dribbled at a speed of 10 mph, we can assume that its rotational speed is much smaller than this. Let's assume that the rotational speed of the ball is r revolutions per minute (rpm).

The angular momentum of the ball is then given by the following formula:

L = I * w

Where I is the moment of inertia of the ball and w is its angular velocity.

The moment of inertia of a sphere is given by the following formula:

I = (2/5) * m * r^2

Where m is the mass of the ball and r is its radius.

Substituting these values into the formula for angular momentum, we get:

L = (2/5) * 0.625 kg * (0.11 m)^2 * r rpm

Solving for r, we get:

r = (5/2) * L / (0.625 kg * (0.11 m)^2)

Therefore, the angular momentum of the basketball is directly proportional to its rotational speed. If we want to increase the angular momentum of the ball, we would need to increase its rotational speed.

A jogger runs on a path at a speed of 0.075 miles per minute. a second jogger starts 5 minutes later from the same spot, but runs at a rate of 0.1 miles per minute. create a pair of parametric equations to represent the paths of the joggers. how far down the path from the starting point does the second runner overtake the first runner? a. 0.2 miles b. 0.5 miles c. 1.5 miles d. 2.9 miles

Answers

Answer:
1.5 miles
Step-by-step explanation:
graph on desmos graphing calculator
(0.075t, O.1t-5)
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