(c) A physics teacher sets up a demonstration to teach her Year 10 class ideas about the conservation of momentum. Figure 2 shows a straight, horizontal air track and two air track trolleys, S and T, which can move along it. Figure 2 Sharp pin o Cork S T has a mass of 3 x 10-1 kg and its velocity is 1.4 m/s to the left. S has a mass of 200 g and is stationary. When T collides with S they stick together. Calculate the velocity of the trolleys after the collision. Show your working clearly and give the unit and direction. [5 marks]​

Answer:

25N

Explanation:

The force the head of the nail is doing on the hammer is 25N. This is based on the newton's third of law of motion.

It states that "action and reaction are equal but opposite in direction".

A body exerting a force of 25N on another will get a reaction force of an equal but negative magnitude of force in the opposite direction.

The nurse will give 2 tablets per dose to administer the prescribed amount of amoxicillin.

The physician ordered amoxicillin 0.25 grams per oral (p.o.) every 8 hours. The available tablets are 125 mg each. To determine the number of tablets needed per dose, we need to convert the prescribed dose from grams to milligrams and then divide it by the strength of the tablets.

First, we convert 0.25 grams to milligrams by multiplying it by 1000 (1 gram = 1000 milligrams). Therefore, 0.25 grams is equal to 250 milligrams.

Next, we divide the total milligrams (250 mg) by the strength of the tablets (125 mg). This will give us the number of tablets needed per dose.

250 mg / 125 mg = 2 tablets

Therefore, the nurse will give 2 tablets per dose to administer the prescribed amount of amoxicillin.

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Coulomb's law is express as:

The rate at which the force is doing work on the object is 710 watts.

To calculate the rate at which the force is doing work on the object, we need to use the formula for work:

Work = Force × Distance × cos(θ)

where θ is the angle between the force and the direction of motion. In this case, the object starts from rest, so the angle between the force and the direction of motion is 0 degrees (cos(0) = 1).

Net force (F) = 142 N

Mass of the object (m) = 26.0 kg

Distance (d) = 5.00 m

First, we calculate the magnitude of the force:

F = ma

where a is the acceleration of the object. Since the object starts from rest, the initial velocity (u) is 0, and we can use the equation:

v^2 = u^2 + 2ad

where v is the final velocity.

Since the object starts from rest, the equation simplifies to:

v^2 = 2ad

Solving for v:

v = √(2ad)

v = √(2 × 142/26.0 × 5.00)

v ≈ 5.18 m/s

Now, we can calculate the rate at which work is done:

Work = F × d × cos(0)

Work = 142 N × 5.00 m × 1

Work ≈ 710 joules

Since work is the energy transferred per unit time, the rate at which work is done, or power (P), is given by:

Power = Work / time

However, the time is not given in the question. Therefore, we cannot calculate the exact power value.

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Answer: D

Explanation:

The given amplifier circuit is a common-source amplifier. The equivalent circuit diagram of the amplifier includes a MOSFET N5486 transistor. We can determine the drain current (ID) and drain-source voltage (VDS) using the following equations:

1. Voltage at the source terminal (VS) is calculated using Ohm's law: VS = IS x RS.2. The drain current (ID) can be calculated using the equation ID = IS (1 + GVin), where Vin is the input voltage, G is the voltage gain, and IS is the current flowing through RD.Let's calculate the values of ID and VDS:

Given:- IS = VDD / RD = 10V / 10Ω = 1A- Vin = -1V / (1.5 x 10^6Ω + 0.47μF) = -0.6666667μA (using voltage divider rule)- G = -RD / RS = -10Ω / 3kΩ = -0.003333 Calculating ID:ID = 1A (1 - 0.003333 x 0.6666667 x 10^6)≈ 0.997A = 997mACalculating VDS:VDS = VDD - IDRD= 10V - 997mA x 10Ω≈ 10V - 9.97V≈ 0.03VTherefore, the values of ID and VDS are approximately ID = 997mA and VDS ≈ 0.03V, respectively.

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Answer is D

Ndmdjdndbdjdkskd

The impulse acting on an object and the impact time, the equation F= I / Δt can be used to calculate the force applied to an object, therefore the correct answer is D.

The product of the average applied force and the time for which it is exerted is known as an impulse.

the mathematical relation for impulse is

Impulse  = F * Δt

where F represents the force applied and Δt represents the time for which the force is applied

Thus, the correct equation that can be used to calculate the force applied to an object is F = I /Δt and the correct option is D.

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According to the second law of Newton, the acceleration is directly proportional to the net force acting on the object:

From this formula, we can also see that the acceleration is inversely proportional to the mass: For the same force, if the mass increases, the acceleration decreases.

Therefore the correct option is d.

Based on the provided informations , the crest of a wave is the highest part of the wave, and it represents the maximum displacement of the medium.

The crest of a wave is the highest part of the wave. It is the point on the wave where the displacement of the medium is at a maximum. The crest is often used to define the amplitude of a wave, which is the distance between the crest and the equilibrium position of the medium.

In contrast, the trough of a wave is the lowest part of the wave. It is the point on the wave where the displacement of the medium is at a minimum. The distance between consecutive wave crests or troughs is called the wavelength, while the time it takes for one wavelength of a wave to pass a particular point is called the period.

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Answer:

Yes. The area around you would be a bit red I think.

The change in enthalpy is  0 J/kg if the incompressible substance with a density of 1000 kg/m3 is isothermally compressed from 100 to 1000 kpa. Thus, option b is correct.

The given data is as follows:

The density of substance = 1000 kg/m3

In-compression pressure = 100 to 1000 kph

The given substance is incompressible. So its specific volume stays constant during the process. The work done is Zero.

Assuming that the process is Isothermal, the temperature remains steady.

The change in enthalpy is calculated by using the formula:

ΔH = m × C × ΔT

The density of mass is calculated by using the formula,

m = V × ρ = 1 m3 × 1000 kg/m3

m = 1000 kg

Change in enthalpy is calculated as:

ΔH = m × C × ΔT

ΔH = 1000 kg × 0 J/(kg·K) × 0 K

ΔH = 0 J/kg

Therefore we can conclude that the change in enthalpy is  0 J/kg.

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The complete question is-

an incompressible substance with a density of 1000 kg/m3 is isothermally compressed from 100 to 1000 kph. determine the change in enthalpy. multiple choice questions.

a.900 kj/kg

b. 0 kj/kg

c.10 kj/kg

d.0.9 kj/kg

The football lands approximately 46.23 meters down the field.

When a team is backed up 4th and long, it means they are on their own side of the field and have a long distance to go in order to get a first down. In this situation, the Eagles have decided to punt the football.

To determine how far down the field the football lands, we need to use basic principles of projectile motion. The ball is kicked with an angle of 39 degrees to the ground and an initial speed of 31 m/s.

First, we can break down the initial velocity into its horizontal and vertical components. The horizontal component is given by the formula: Vx = V * cos(theta), where V is the initial speed and theta is the launch angle. Plugging in the values, we have Vx = 31 * cos(39°) = 24.07 m/s.

Next, we can find the vertical component of the initial velocity. The vertical component is given by the formula: Vy = V * sin(theta), where V is the initial speed and theta is the launch angle. Plugging in the values, we have Vy = 31 * sin(39°) = 18.91 m/s.

The time it takes for the football to land can be found using the vertical component of the velocity and the acceleration due to gravity. The equation to use is: y = Vy * t - 0.5 * g * t^2, where y is the vertical distance, Vy is the vertical component of the velocity, t is the time, and g is the acceleration due to gravity.

We know that y is 0 because the football lands on the ground. Solving for t, we get: 0 = 18.91 * t - 0.5 * 9.8 * t^2. Solving this quadratic equation, we find t = 1.92 s.

Finally, we can find the horizontal distance traveled by the football using the horizontal component of the velocity and the time. The equation to use is: x = Vx * t, where x is the horizontal distance, Vx is the horizontal component of the velocity, and t is the time. Plugging in the values, we have x = 24.07 * 1.92 = 46.23 m.

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Saltation refers to the bouncing motion that sand exhibits when it is transported by moving water or wind.

When sand grains are subjected to the force of fluid flow, they are lifted off the ground and propelled through the air or water. As they travel, the sand grains undergo a repeated cycle of lift, transport, and impact.

During the impact phase, the sand grains collide with the surface, causing them to bounce or saltate. This bouncing motion is a characteristic behavior of sand transport and is influenced by factors such as grain size, fluid velocity, and surface roughness.

Saltation plays a crucial role in the transport and redistribution of sand in various natural environments, shaping landscapes and contributing to processes like dune formation and sediment transport in rivers and beaches.

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Answer:

A ( Jack did twice as much work as Jill

Explanation:

The coefficient of kinetic friction between the calculus book and the floor in the pickup game of dorm shuffleboard is approximately 0.183. This value represents the ratio of the net force acting on the book, which is the difference between the applied force from the broom and the force of friction, to the weight of the book.

To determine the coefficient of kinetic friction between the book and the floor, we can use the following equation:

μk = (F_net - F_applied) / (m * g),

where μk is the coefficient of kinetic friction, F_net is the net force acting on the book, F_applied is the applied force from the broom, m is the mass of the book, and g is the acceleration due to gravity.

In this scenario, the applied force from the broom is 49 N, and the mass of the book is 4.9 kg. The net force can be calculated using Newton's second law, which states that F_net = m * a, where a is the acceleration.

To find the acceleration, we can use the equation:

\(v^2\) = \(u^2\) + 2 * a * s,

where v is the final velocity, u is the initial velocity (0 m/s in this case since the book starts from rest), a is the acceleration, and s is the distance traveled.

Plugging in the given values, we have:

\((1.4 m/s)^2\) = \((0 m/s)^2\) + 2 * a * 0.90 m.

Simplifying the equation gives us:

1.96\(m^2\)/\(s^2\)= 1.8 m * a.

Solving for a, we find:

a = 1.96\(m^2\)/\(s^2\) / 1.8 m = 1.0889 \(m/s^2\).

Now we can calculate the net force:

F_net = m * a = 4.9 kg * 1.0889\(m/s^2\) = 5.335 N.

Substituting the values into the equation for the coefficient of kinetic friction:

μk = (F_net - F_applied) / (m * g) = (5.335 N - 49 N) / (4.9 kg * 9.8 \(m/s^2\)) ≈ 0.183.

Therefore, the coefficient of kinetic friction between the book and the floor is approximately 0.183.

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Answer:

PLS PLS PLS mark brainliest

Explanation:

The following are the environmental problems caused by the invasive algae which is known as Lyngbya.

A. It blocks the sunlight from reaching the water, thereby depriving the plants in the water from accessing it. So they won't be able to manufacture their foods and eventually die off.

B. The algae produce offensive odour like rotten egg , which drive people and other organisms away.

C. The algae prevent oxygen from entering the water, and prevent the resident organisms from making use of it, which leads to their death.

D. The algae also give off heat into the chilly spring waters.

In conclusion, the goals of the Crystal River project is to save the living organisms in the river from extinction and to make it a livable environment for them.

Collected data plays a crucial role in evaluating whether the criteria for success have been met. By analyzing the collected data, one can assess the progress made towards achieving the desired goals and determine if the criteria have been fulfilled.

Data provides an objective measure of performance or outcomes, allowing for an evidence-based assessment of success. It helps to quantify and track key metrics or indicators related to the criteria for success. By comparing the actual data with the predetermined benchmarks or targets, one can determine if the criteria have been met or if further improvements are required.

Data analysis also enables the identification of trends, patterns, and correlations, providing insights into the factors influencing success. It helps in identifying areas of strength and areas that need improvement. Additionally, data can be used for comparative analysis, benchmarking against previous periods or similar projects, to gain a broader perspective on success.

In summary, collected data provides an objective basis for evaluating progress and success by comparing actual performance against predetermined criteria, identifying areas of improvement, and gaining insights for future decision-making.

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The amount of heat or energy that is lost when the water is cooled is 1,024.1 J.

The amount of heat lost is calculated by applying the formula for heat capacity of water as shown below;

Q = mcΔT

where;

The amount of heat or energy that is lost when the water is cooled is calculated as follows;

Q = 3.5 g x 4.18 J/gC x (90 C - 20 C)

Q = 1,024.1 J

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To determine the distance from the hip joint where the supporting strap should be attached to the cast, we need to calculate the center of mass of the leg-cast system. The leg consists of the upper thighs and the lower legs (including the feet), each with a specific mass distribution and center of mass. The cast also has its own mass and center of mass. By considering the mass distributions and distances from the hip joint, we can find the overall center of mass of the leg-cast system. The supporting strap should be attached at this center of mass position.

To find the center of mass of the leg-cast system, we first calculate the masses of the upper thighs and lower legs using the given percentages of body weight. Then, we determine the position of the center of mass for each thigh and the lower legs relative to the hip joint. Next, we consider the mass and center of mass of the cast. By taking into account the masses, distances, and positions of each component, we can calculate the overall center of mass of the leg-cast system.

The supporting strap should be attached at the position of the overall center of mass. This ensures that the leg-cast system remains balanced and minimizes discomfort for the patient. By finding the appropriate distance from the hip joint, the patient can properly support the leg in a horizontal position while distributing the weight evenly.

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A massive and fast moving bowling ball must have a large momentum while a light and slow moving tennis ball must have a small momentum. However, a fast tennis ball may have the same momentum as a slow rolling bowling ball due to its high velocity. Given two objects of the same size but of different materials, the heavier (denser) object will fall faster because the drag and buoyancy forces will be the same for both, but the gravitational force will be greater for the heavier object.

\( \)

Answer:

\(4ms^{-2}\)

Explanation:

F = ma

Rearrange to get acceleration on its own:

a = \(\frac{F}{m}\)

Substitute 20 for F and 5 for m:

a = \(\frac{20}{5}\) = 4 meters/second/second

Answer:thanks

Explanation:xixo

gv

Answer:

Below

Explanation:

Final velocity (m/s ) - Initial velocity (m/s)     is the change in velocity

    this will be units of   m/s

   then change in velocity ( m/s)  / change in time (s) = accel ( m/s^2 )

Answer:

d. 0.417 m/s

Explanation:

v= ▲x/t

(350-150)/120 s

= .417 m/s

Answer:

2

Explanation:

Due to the fact that the gravitational force is inversely proportional to the mass of the two interacting objects, heavier objects will be drawn together by a stronger gravitational attraction. As a result, the gravitational pull between two objects grows as their respective masses rise.

Since the gravitational force is exactly proportional to the mass of both interacting objects, heavier items will be attracted by stronger gravitational forces. Therefore, the gravitational attraction between two objects grows as their respective masses do as well.

The attraction created by gravity is between masses. The gravitational force, commonly known as the gravity force, increases with the size of the masses. With an increase in the distance between masses, the gravitational pull rapidly lessens.

Therefore, second have greater gravitational force.

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Answer:

They are weightless because there is no external contact force pushing or pulling upon their body.

Explanation:

Answer:

nope because the ground created a normal force

Explanation:

Answer:

21: Mass

22: Unbalanced Force

23: Friction

24: Balanced

Explanation:

Answer:

i don’t know what kind of waves you mean but if you’re talking about sound waves...

Explanation:

“Sound waves are transmitted through solids, liquids, and gases. Light waves are transmitted through transparent materials (may be clear or colored material such as filters) that allow most of the light that strikes them to pass through them. Only a small amount of light is reflected or absorbed.”

Answer:

Energy cannot be created or destroyed.

Explanation:

its in the name, law of "conservation" of energy. energy can only change forms not be destroyed

Answer: Energy cannot be created or destroyed.

Explanation: The law of conservation of energy states that energy can neither be created nor be destroyed due to energy loss. It can only change its states from one energy state to another.

The efficiency is defined as the ratio of output work to the input work. The efficiency of the fan is not 100%. Because some of the energy is lost in the form of heat and sound. No machine is 100% efficient. There is always some loss of energy takes place.

I really hope this helps and sorry it's late.