A slingshot consists of a light leather cup attached between two rubber bands. It takes a force of 33 N to stretch the bands 1.3 cm.A) What is the equivalent spring constant of the rubber bands? Answer in n/m.B) How much force is required to pull the cup of the slingshot 4.2 cm from its equilibrium position? Answer in units of N.

Answer:

B. medical imaging, C. communication technology, and D. air conditioner.

Answer:

i do not know

Explanation:

In a situation where a fog signal indicates a risk of collision, vessels must follow specific actions based on COLREGs. The stand-on vessel maintains course and speed while staying vigilant, while the give-way vessel takes early and substantial action to avoid a collision by altering course or reducing speed.

In the scenario where a fog signal from another vessel is heard, indicating a risk of collision, there are specific actions that must be taken to ensure the safety of both vessels. These actions are based on the International Regulations for Preventing Collisions at Sea (COLREGs) and are essential for preventing accidents and maintaining a clear and orderly maritime environment.

The appropriate action to take in this situation depends on the role of your vessel:

1. If you are the stand-on vessel (vessel with the right of way):

  - Maintain your course and speed, but remain vigilant.

  - Use all available means to assess the situation, such as radar, visual observation, and radio communication.

  - Be prepared to take action if the give-way vessel fails to take appropriate action.

2. If you are the give-way vessel (vessel required to take action to avoid a collision):

  - Take early and substantial action to keep well clear of the stand-on vessel.

  - Alter your course to starboard (right) if possible, to pass behind the stand-on vessel.

  - Reduce your speed or stop if necessary to avoid a collision.

It is important to assess the situation promptly and accurately, considering factors such as the vessel's position, course, speed, and the risk of collision. Maintaining a safe distance, keeping a lookout, and communicating with the other vessel are crucial for effective collision avoidance.

Remember, the specific actions to take may vary depending on the circumstances, such as the size and maneuverability of the vessels, visibility conditions, and any additional signals or communications received. It is essential to follow the COLREGs and exercise sound judgment to ensure the safety of all involved parties.

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To solve this question we must know how friction force works.

Friction force happens every time a surface slides across another surface. The intensity of friction force can be calculated as follows:

where:

μ = coefficient of friction (can be static or kinetic)

FN = normal force (force perpendicular to the surface an object is on)

Forces are measured in newtons (N) as well friction forces. We can then figure out the unit for the coefficient as follows:

So:

which means μ has no units.

That proves our problem.

When we multiply a vector by a scalar number, each dimension of the vector will be multiplied by the number.

For example, multiplying the vector <3, 4> by 2 would create the vector <6, 8>.

But if this scalar is negative, the dimensions of the vector will change the signal:

vector <3, 4> multiplied by -2 creates the vector <-6, -8>.

This causes the original vector to change its direction to the opposite direction, that is, it flips 180°:

Answer:

A) W =250J B) Power = 125 J/s  C) Work = 250 J Power = 250 J/s

Explanation:

Work = Force*distance

A:

\(W = 10kg*10m/s^2*2.5m\\W = 250 J\\\)

B:

Power is J/s

Power = 250J/2.0s = 125 J/s

C:

Work stays the same

Power increases to 250 J/s

Answer:

The magnitude of the force exerted by the person is 100 N

Explanation:

Net Force

According to the second Newton's law, the net force exerted by an external agent on an object of mass m is:

Fn = ma

Where a is the acceleration of the object.

The net force is the sum of all forces exerted over a body. When an object is moved along a rough surface it experiences two horizontal forces and two vertical forces (provided there is no vertical component of the applied force).

The vertical forces are the Normal and the Weight and they are balanced, i.e.: N = W = mg.

The horizontal forces are The applied force (Fa) and the friction force (Fr). They are not balanced because the object is accelerated in that direction. The net force is:

Fn = Fa - Fr

Applying the first equation:

Fa - Fr = ma

Solving for Fa:

Fa = Fr + ma

Substituting the given values m=5 kg, Fr=10 N, \(a=18\ m/s^2\).

Fa = 10 + 5*18 = 10 + 90 = 100

Fa = 100 N

The magnitude of the force exerted by the person is 100 N

Basically.

Given: F + m x a

Equation: 10 N + 5.0 kg x 18 m/s2

Solve: 100 N

The charge R is positive and the charge L is negative hence, the correct option is option D.

The electric charges are of two types and they are positive and negative charge. There is an attractive force between the two charges. The electric field is formed around the charges and the electric field is denoted by using field lines around it.

The field lines are emerging from positive charge and end up in a negative charge. The field lines never intersect with each other. Hence, from the given, the field lines emerging from the positive charge(R) and end up in the negative charge(L).

Hence, the ideal solution is option D.

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Given:

Answer:

C. That the small portion of the space we can see is truly representative of all the rest of the universe that we cannot see.

Explanation:

The Cosmological Principle assumes that the small portion of the universe that we can see is representative of the entire universe, even though we can only directly observe a tiny fraction of it. It's an assumption used by Cosmologists to simplify their models of the universe.

Answer:

3ft/s²

Explanation:

\(a = \frac{60 - 45}{5} = 3ft \div {s}^{2} \)

Answer:

D. Nuclear Fission and alpha decay

The time taken for the javelin thrown at 28.5 m/s from flat ground at a 43.2 degree angle to reach the maximum height is 2.0 s

From projectile motion, we understand that the time taken to reach maximum height is given as:

t = uSineθ / g

Where

Now, using the above formua, we can obtain the time taken for the javelin to reach the maximum height as follow:

Initial velocity (u) = 28.5 m/s

Angle of projection (θ) = 43.2 degrees

Acceleration due to gravity (g) = 9.8 m/s²

Time taken to reach the peak (t) = ?

t = uSineθ / g

t = (28.5 × Sine 43.2) / 9.8

t = 2.0 s

Thus, the time taken to reach maximum height is 2.0 s

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Answer:

3.75 billion years

Explanation:

From the question given above, the following data were obtained:

Half-life (t½) = 1.25 billion years

Number of half-lives (n) = 3

Time (t) =?

The time taken for the sample of potassium-40 to contains one-eighth the original amount of parent isotope can be obtained as:

n = t / t½

3 = t / 1.25

Cross multiply

t = 3 × 1.25

t = 3.75 billion years.

Therefore, it will take 3.75 billion years for the sample of potassium-40 to contains one-eighth the original amount of parent isotope

Answer:

C. Fill two identical pots with equal volumes of salt water and tap water and use a stopwatch to determine the time it takes each pot to boil.

Explanation:

A) is incorrect because Peter should have the same testing environment for both of his experiments.

He should choose the same method of boiling the salt water and tap water because the stovetop and the microwave could also affect the results and make them unreliable.

B) is incorrect because Peter should not estimate the time it takes the salt water and tap water to boil.

Peter should measure and record the amount of time that it takes these substances to boil in order to have an accurate, valid experimental thesis.

C) is correct because Peter uses the same volume of salt water and tap water, fills them into two identical pots, and uses a stopwatch to determine the amount of time it takes each pot to boil.

The stopwatch makes the experiment more valid and accurate compared to the previous methods, and the identical pots and amounts of water help this experiment become even more precise.

D) is incorrect because the variables in the experiment are not controlled amounts and will therefore produce an inaccurate and invalid experiment.

A.  The motor's speed is approximately 1086 r/min if the field resistance is raised to 50 Ω.

B. The speed of this motor as a function of the field resistance RF is approximately 1086 r/min

A. According to the magnetization curve shown in Figure 8-9, the motor's speed can be calculated by using the following equation:

EA = kϕN, where EA is the back EMF, k is a constant, ϕ is the magnetic flux, and N is the motor speed.

Since the amount of armature current remains constant, the back EMF is also constant.

Therefore, the magnetic flux must also be constant. The magnetic flux is proportional to the field current IF, which can be calculated using Ohm's law:

IF = (250 V - EA)/(RF + R₁)

At the initial field resistance of 41.67 Ω, the field current is IF = (250 V - EA)/(41.67 Ω + 0.03 Ω) = (250 V - EA)/41.70 Ω.

If the field resistance is raised to 50 Ω, then the new field current is IF = (250 V - EA)/(50 Ω + 0.03 Ω) = (250 V - EA)/50.03 Ω.

Since the magnetic flux is constant, we can set the two expressions for IF equal to each other and solve for N:

kϕN/IF1 = kϕN/IF2

N = (IF2/IF1)N1 = (250 V - EA)/(50.03 Ω + 0.03 Ω) * 1103 r/min ≈ 1086 r/min

Therefore, the motor's speed is approximately 1086 r/min if the field resistance is raised to 50 Ω.

B. The speed of the motor as a function of the field resistance RF can be plotted using the same equation used in part A:

N = (250 V - EA)/(RF + R₁ + Radj) * 1103 r/min

where Radj is the resistance of any additional resistance in the circuit. Since the load current is constant, the current through the motor is also constant, so EA is also constant.

Therefore, the speed is inversely proportional to the total resistance in the circuit, which includes the field resistance RF, armature resistance R₁, and any additional resistance Radj.

A plot of the speed as a function of the field resistance is shown in Figure 8-10. As the field resistance increases, the speed of the motor decreases due to the increased total resistance in the circuit. This relationship is linear for this type of constant-current load.

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Answer:

Higher denisty

Explanation:

High pressure=high denisty

Answer:

This is because of friction and heat lost.

Explanation:

The dragonfly must generate approximately 4.8 × 10^-4 Joules of energy to spin itself at a rate of 1100 rpm.

Start by converting the rotational speed from rpm (revolutions per minute) to rad/s (radians per second). Since 1 revolution is equal to 2π radians, we can use the conversion factor:

Angular speed (ω) = (1100 rpm) × (2π rad/1 min) × (1 min/60 s)

ω ≈ 115.28 rad/s

The moment of inertia (I) is given as 2.0 × 10^-7 kg⋅m².

Use the formula for rotational kinetic energy:

Rotational Kinetic Energy (KE_rot) = (1/2) I ω²

Substituting the given values:

KE_rot = (1/2) × (2.0 × 10^-7 kg⋅m²) × (115.28 rad/s)²

Calculate the value inside the parentheses:

KE_rot ≈ (1/2) × (2.0 × 10^-7 kg⋅m²) × (13274.28 rad²/s²)

KE_rot ≈ 1.331 × 10^-3 J

Round the result to the proper number of significant figures, which in this case is three, as indicated by the given moment of inertia.

KE_rot ≈ 4.8 × 10^-4 J

Therefore, the dragonfly must generate approximately 4.8 × 10^-4 Joules of energy to spin itself at a rate of 1100 rpm.

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Answer: State and explain, in terms of the forces acting,how the acceleration of the object varies during its fall. As the object is released two forces act on it. Its weight and and air resistance. At this point its weight is much greater due to the force of gravity on the object so it accelerates downward.

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Answer:

Andromeda galaxy is the correct answer.

Answer:

heavy molecules are pumped much more efficiently than light molecules. Most gases are heavy enough to be well pumped but it is difficult to pump hydrogen and helium efficiently.

Depending on the direction the rock is hurled, the speed of the wagon moves either (a) straight forward or (b) straight backward. v' = 0.304 m/s

A force known as friction exists between two surfaces those are sliding or attempting to glide over one another. Friction, for instance, makes it challenging to push a book across the floor. The direction in which an object moves or attempts to move is always the direction in which friction operates.

Friction is believed to be created by the interplay between the microscopic bumps on surfaces when they rub with one another, however scientists are still unsure of its exact mechanism.

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False - Not all poisons are made in labs. Many naturally occurring substances can also be poisonous, such as certain plants and animals.

True - People can be exposed to toxins through ingestion (eating or drinking), inhalation (breathing in), injection (such as with drugs), and absorption through the skin.

False - Poisoning is not a very common method of murder today. While it does happen, other methods such as firearms, suffocation, and blunt force trauma are more common.

False - There are more than 4 types of controlled substances. In the United States, controlled substances are categorized into 5 schedules based on their potential for abuse and medical use.

The 5 groups of controlled substances in the US are:

Schedule I: Substances with no currently accepted medical use and a high potential for abuse, such as heroin and LSD.

Schedule II: Substances with a high potential for abuse and dependence, but also with currently accepted medical uses, such as morphine and cocaine.

Schedule III: Substances with a lower potential for abuse and dependence than Schedule II drugs, but still with accepted medical uses, such as anabolic steroids and some barbiturates.

Schedule IV: Substances with a lower potential for abuse and dependence than Schedule III drugs, such as benzodiazepines and some prescription stimulants.

Schedule V: Substances with the lowest potential for abuse and dependence, such as cough medicines containing small amounts of codeine.

The common effects of each group vary, but they can include pain relief, sedation, euphoria, and other psychoactive effects.

Anabolic steroids can have many harmful effects on the body, including:

Alcohols can be toxic to many tissues in the body, including the liver, brain, and gastrointestinal tract.

Bioterrorism is the deliberate release of biological agents (such as bacteria or viruses) with the intent to harm or kill people, animals, or plants.

Strychnine is a highly toxic substance that can cause muscle spasms and convulsions, leading to respiratory failure and death. Other symptoms can include restlessness, agitation, and high blood pressure.

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Explanation:

it has no energy when considered with respect to earth ,as it has neither height (i e potential energy) nor velocity (i.e kinetic energy).