3. A student tosses a 0. 500 kilogram rock into

a pond at a rate of 1. 00 meter per second. If

the student's mass is 45. 0 kilograms, what

is the momentum of the rock by the

student?

The Power generated is 77.5 Watt

                                       Power = Work / time

                                                P = W / t

                                                P = Fd/t

                                                P = mgd/t

where, F = force = mg

           d = displacement

            t = time

Given, mass (m) = 155Kg

           g = acceleration due to gravity = 10 m/s^2

           d = 150 cm = 0.15 m

           t = 5.00 x 10^-2 min = 3 seconds

Putting these values in above equation, we get P= 77.5 Watt.

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There are three infrastructure projects wherein thermal expansion & contraction may be a problem are constructing roads, towers, and sidewalks.

The propensity of matter to alter structure, volume, or area in reaction to a temperature change is known as thermal expansion. The average molecular energy of a substance has a monotonic relationship with temperature. Heat makes molecules move more quickly & take up more space, which causes thermal expansion.

The expansion of heated air is the most obvious example. Heat helps the air expand, making it lighter than the air around it. This causes the hot air to be forced (upward), which causes steam and smoke to rise, warm air balloons to float, and so on.

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Hydroelectric power accounts for between 16 and 17 percent of global electricity production, making it one of the most significant renewable energy sources.

In 2016, hydropower contributed more than twice as much to the grid as the next largest renewable energy source, solar. Hydropower can provide many valuable services to the power grid beyond just energy generation. These include frequency regulation, voltage support, contingency reserves, load following, and black start service, all of which contribute to the reliability and safety of the power system. Hydropower's role in grid-scale energy storage, balancing services for other intermittent renewables like wind and solar power, and water management services by reservoirs are growing.

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Using a set of pulleys, Diana hoists a piano weighing 1000 N. To draw in 20.0 m of rope, she applies 250 N of force. The separation is 5m.

given,

Load force = 1000 N

Effort distance = 20.0 m

Effort force=250N

If this were an ideal machine, we could calculate the force Diana applied as follows:

The equation that follows links load force to effort force for a perfect machine;

Effort force × effort distance = Load force × Load distance

When we enter the parameters into the formula, we get;

Load distance = Effort force × effort distance/Load force

                         =250×20/1000

                         = 5 m

Load distance  = 5 m

In mechanics, force is any action that tends to maintain or alter the motion of a body or distort it. The concept of force is commonly explained in terms of Isaac Newton's three laws of motion, as stated in his Principia Mathematica (1687). Newton's first principle states that a body at rest or moving at a uniform rate in a straight line will remain in that state until some force is applied to it. The second law states that when an external force acts on a body, it causes an acceleration (change in velocity) of the body in the direction of the force.

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The new electrostatic force between the charges, given that q₁ is reduced to 1/2q₁ and q₂ is tripped is 3/2Fₑ (Option C)

First, we shall determine the initial electrostatic force between the charges. Details below:

F = Kq₁q₂ / r²

Fₑ = Kq₁q₂ / r²

Finall, we shall determine the new electrostatic force. The is illustrated below:

F = Kq₁q₂ / r²

F = (K × 1/2q₁ × 3q₂) / r²

F = 3/2Kq₁q₂ / r²

But,

Fₑ = Kq₁q₂ / r²

Thus

F = 3/2Fₑ

Thus, we can conclude that the new electrostatic force is 3/2Fₑ (Option C)

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The best angle for maximum height and air time when launching an object is 90 degrees. At 90 degrees, the vertical velocity component is at its maximum, allowing the object to reach the highest point. Additionally, the horizontal velocity component is at its minimum, which means that the object will spend more time in the air.

This is because at 90 degrees, the object is moving straight upward and as gravity acts vertically downwards, the object will reach highest point and stay there for longer time as compare to other angles.

However, it's important to note that 90 degrees is ideal for maximum height, but not for maximum distance traveled. For maximum distance, the optimal angle would be 45 degrees, where the horizontal velocity and vertical velocity are equal, as the object will both travel the farthest and reach the highest point.

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Answer:

According to Newton's third law, the force exerted on each driver during the collision is equal and opposite to the force exerted on their respective vehicles. We can use the principle of conservation of momentum to find the force experienced by each driver.

The initial momentum of the car and driver is the product of their mass and velocity: (800 kg)(6.60 m/s) = 5280 kgm/s. The initial momentum of the truck and driver is (4000 kg)(6.60 m/s) = 26400 kgm/s. After the collision, the final momentum of the combined system (the car, truck, and drivers) is 0, since the collision is perfectly inelastic and the two vehicles stick together. This means that the final momentum of the car and driver is equal and opposite to the final momentum of the truck and driver.

We can set up the following equation to solve for the force experienced by the car driver:

Force (car driver) = (final momentum of car and driver) / (collision time)

= (-final momentum of truck and driver) / (collision time)

= (-26400 kg*m/s) / (0.100 s)

= -26400 N

The negative sign indicates that the force is in the opposite direction of the initial momentum of the car and driver. The force experienced by the truck driver is equal in magnitude to the force experienced by the car driver, so the force experienced by the truck driver is also -26400 N.

Explanation:

Answer:

metric ruler

Explanation:

it counts legnth

A. The nature of the image of 5th Avenue in the mirror sculpture is that it is a virtual, upright, and smaller image. This is because the concave mirror is used to reflect light outwards, creating a virtual image that cannot be projected onto a screen.

B. The property of concave mirrors that is utilized for using them as shaving mirrors is their ability to form a smaller, magnified image. This is because concave mirrors have a negative focal length, which causes light rays to diverge and form a smaller image that is closer to the mirror.

C. To determine the focal length of the mirror, we can use the formula 1/f = 1/u + 1/v, where f is the focal length, u is the object distance (38 meters), and v is the image distance (unknown). We know that the image size is 1/5 the size of the object, so we can set v = -5u (since the image is virtual and inverted). Substituting these values into the formula and solving for f, we get f = -(5u^2)/4 = -(5(38^2))/4 = -4725/4 = -1181.25 meters.

D. To estimate the image size of the 270 meter tall Rockefeller Centre, we can use the formula: h' = -h * (u/f) where h' is the image height, h is the object height (270 meters), u is the object distance (100 meters) and f is the focal length (10 meters). Substituting these values in the formula, h' = -270 * (100/10) = -2700 meters. This means the image of the Rockefeller Centre would be 2700 meters tall, which is not possible because it's taller than the building itself. This is an indication that the image is not real and is a virtual image.

Unlike plane mirrors, spherical mirrors form images that are different in size from the size of the object. While the convex mirror forms images that are always smaller than the object, the concave mirror forms images of different sizes, depending on the position in which the object is placed on its axis.

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It is a False statement, because the acceleration arrow points forward, but the velocity arrow is reversed.

What is meant by acceleration?

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The value of the resistor of five parallel-connected resistors is R/5 ohm. Hence, 5 resistors of resistance R/25 ohm connected in series to give an equivalent resistance to five resistors connected in parallel

Modern resistors are often constructed from a carbon, metals, or metal-oxide layer. In these resistors, an insulating material is covered in a helix around a thin layer of conductive (but still resistant) material.

A resistor is a component of an electronic device that regulates or limits the amount of electrical current that can flow through a circuit. Resistors can also supply a certain amount of power to an electronic appliance like a transistor. A light bulb illuminates when power is applied to the resistor tungsten. The end results of the energy are heat and light.

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Answer:

-3.2m

Explanation:

To find the distance of the 25N weight from the pivot, we can use the concept of moments. The moment of a force is the product of the force and the perpendicular distance from the pivot to the line of action of the force.

The total moment about the pivot due to the weights on side A is:

Moment_A = (10N * 4m) + (30N * 2m) = 80Nm

The moment of the 25N weight on side B must be equal and opposite to the total moment of the weights on side A, so we can set up the following equation:

Moment_B = -80Nm

We can solve for the distance of the 25N weight from the pivot by rearranging the equation to solve for x:

x = Moment_B / 25N = -80Nm / 25N = -3.2m

So the distance of the 25N weight from the pivot is -3.2m. This means that the weight is 3.2m to the left of the pivot, since the pivot is taken as the origin for the purpose of calculating moments.

The piece of sausage need to make 55 pizza is 21 × 55 = 1155.

The typical baking time for a pizza is 8 to 15 minutes, and larger, thicker pizzas bake more slowly than thin-crust, petite pizzas with few toppings. Just a friendly reminder: never lose sight of the pizza.

The "2 pizza rule" is a formula for determining how many people to invite to a gathering. Every meeting had to be small enough for two large pizzas to feed everyone, according to the rule.

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It is important to note that vehicles without ABS may take longer to stop and have a greater risk of skidding or losing control, so it's important to be aware of the stopping distance and to drive with caution.

Anti-Lock Braking System (ABS) is an advanced safety feature that is commonly found in modern vehicles. It is designed to prevent the wheels of a vehicle from locking up during braking, which can cause the vehicle to skid and lose control.

If you need to stop quickly and your vehicle is not equipped with an Anti-Lock Braking System (ABS), you should:

Press the brake pedal firmly and steady, do not pump the brakes.

Steer the vehicle in the direction you want to go.

Avoid locking up the wheels by applying the brake pressure smoothly and progressively.

If the wheels lock, release the brake pedal slightly to regain traction and then reapply the brake pressure.

Keep a safe distance from the vehicle in front of you to give yourself more time to react and stop.

Hence, by following the above mentioned steps you can quickly stop a car not equipped with ABS.

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It would take approximately 0.45 seconds for a 17 m tall building to hit the ground.

What is distance?

Distance is the amount of space between two objects or points. It is measured in units such as meters, feet, or miles. Distance can also refer to the length of time it takes for something to happen, such as the distance between two events.

This is calculated by using the formula: time = (distance)/(gravity x 2). In this case, distance is 17m and gravity is 9.8 m/s2, so time = (17 m)/(9.8 m/s2 x 2) = 0.45 seconds.
Distance may also refer to the emotional or physical separation between two people or groups. Distance can be expressed as a physical, mental, or emotional concept.

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The ECG waveform has many components such as segments,  waves, and intervals; when these components differ from the expected forms, this indicates dysrhythmia.

An abnormal or irregular heartbeat is referred to as cardiac dysrhythmia. Your heart may beat too slowly or too fastly if you have dysrhythmia. Or your heart's rhythm may be disturbed, giving you the sensation that your heart missed a beat.

Thus, when the ECG waveform is different than normally it is expected, it shows a sign of dysrhythmia. When a person experiences dysrhythmia, and the rate of their heartbeat becomes irregular but still, it lies within the normal range.

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The most reasonable prediction Sarah can make for the total mass of the products of this reaction would be = 19g.

The law of conservation of mass states that mass in neither created nor destroyed but can be changed from one form to another.

From the set up of the reaction carried out by Sarah, the container was in an enclosed medium.

Therefore since there is no loss of mass, the total mass of the products of this reaction would be = 11+8 = 19g.

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The ball accelerates at a constant rate as it moves down the slope because of the constant gravitational force acting on it in a major portion and the rolling tangential force on the object is acting in the smaller form.

Rolling motion of any object occurs when the object starts sliding in a different methods from the other objects such as when the objects starts to roll from the ramp or any other sloppy surface and it rolls down due to the gravitational force and with many other forces such as the rolling tangential force. many forces are acting on the object at the same moment and we are just seeing the gravitational force which is playing a major portion. Hence by this information we can consider that the ball accelerates at a constant rate as it moves down the slope because of the constant gravitational force acting on it in a major portion and the rolling tangential force on the object is acting in the smaller form.

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The net force acting on the box, and the frictional force acting backward is 25 N

Here,

mass ,m = 12 Kg

F1 = 49 N

a = 2 m/s^2

Using the second law of motion

net force on the particle = m * a

net force on the particle = 12 * 2

the net force on the particle = 24 N

let the frictional force is f

F1 - f = Fnet

49 - f = 24

f = 25 N

The vector sum of all forces acting on an object is known as the net force. As a result of the fact that a force is a vector and that two forces with identical magnitudes and opposing directions cancel each other out, the net force is the sum of all the forces, or put another way, the net force is the sum of all the forces.

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D) Region A. The observed effect is strongest in Region A, as this region contains the most extreme temperatures and the most extreme change in temperature over time.

What is temperatures ?

Temperatures refer to the degree of hot or cold that something is. It is typically measured in either Celsius or Fahrenheit, with Celsius being the most common metric used.

Temperatures can range from extreme cold to extreme heat, with average temperatures ranging from -40 to 40 degrees Celsius. Temperatures can be affected by a number of factors, including altitude, latitude, and proximity to the ocean. Different climates can experience vastly different temperatures, making it important to know the temperature of a particular area before traveling.

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Nuclei of the same element can have different values of Z, N, and A, as these values are all related to the number of protons, neutrons, and nucleons in the nucleus, respectively. Therefore, option 2, 3, and 4 are correct.

Nuclei of the same element can have different values of Z, N, and A due to the number of protons, neutrons, and nucleons they contain, respectively. This is because the number of these particles in the nucleus can vary, although they all will still be the same element. Therefore, option 2, 3, and 4 are correct and option 1 is incorrect.

Nuclei of the same element can have different values of Z, N, and A, as these values are all related to the number of protons, neutrons, and nucleons in the nucleus, respectively. Therefore, option 2, 3, and 4 are correct.

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Answer:

Peter and John is a plate of rice together peterhead 2/5 of the quantity of rice white drone x 1/3 who ate more food than the other

The driver of a car traveling at 30.2 m/s applies the brakes and undergoes a constant deceleration of 1.4 m/s 2 . The car makes 139 revolutions.

A change in velocity that does not alter over time is referred to as a constant acceleration. A car's average acceleration stays constant at 20 mph per minute even if it increases its speed by 20 mph in one minute and another 20 mph the next.

Acceleration in the direction crosswise to the direction of the velocity is always referred to as deceleration. Deceleration always slows down motion. However, negative acceleration is just acceleration in the opposite direction according to the selected coordinate system.

Given:

v₀ = 30 m/s

v = 0 m/s

a = -1.4 m/s²

Find: Δx

v² = v₀² + 2aΔx

(0 m/s)

² = (30 m/s)

² + 2 (-1.4 m/s²) Δx

Δx = 321.43 m

The tires' circumference is 2 m plus 0.37 m, or 2.32 m. Therefore:

139 rev = 321.43 m (1 rev / 2.32 m)

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Ranking each of the following from least to greatest in terms of the amount of momentum each possesses:

A 5 kg object moving at -25 m/s < A 100N object moving at 5 m/s < A 10kg object moving at 10 m/s < A 30 kg moving at 5 m/s

Momentum is the product of a particle's mass and velocity. The fact that momentum is a vector quantity means that it has both magnitude and direction. The force pushing a particle has an equal-and-opposite impact on the speed at which its momentum changes, according to Isaac Newton's second law of motion. Take a look at Newton's laws of motion.

Newton's second law states that if a particle experiences a constant force for a predetermined period of time, the impulse—which is equal to the force multiplied by the duration—will equal the change in momentum. The amount of time required for a consistent force to bring a particle to rest, in contrast, is measured by a particle's momentum.

We know that momentum, p = mv

Where,

p = momentum

m = mass

v = velocity

Substituting the value in formula we get,

1. A 10kg object moving at 10 m/s

p = 10 × 10

  = 100 kg⋅m/s

2. A 30 kg moving at 5 m/s

p = 30 × 5

  = 150 kg⋅m/s

3.  A 5 kg object moving at -25 m/s

p = 5 × -25

  = -125 kg⋅m/s

4. A 100N object moving at 5 m/s

p = (100 × 0.10197 kg) × 5

  = 10.197  × 5

  = 50.985 kg⋅m/s

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The kinetic energy does the work that crushes the car’s crumple zones.

Conversion of collision energy Because the metal plastic deformation after the impact greatly increases the internal energy of the automobile, the majority of the kinetic energy in the collision process is turned into internal energy. Other types of kinetic energy are turned into heat energy, sound energy, and so on.

A serious vehicle accident can result in PTSD, acute anxiety, sadness, and crippling phobias. According to studies, crash-related mental traumas might have symptoms that continue up to a year following a car accident, especially in youngsters. Objects with potential energy, or stored energy, collide, and the energy transfers to kinetic energy, or the energy of an object in motion. This energy transfer from one to anotheanother


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The force exerted on the top of the bottle is given by the impulse-momentum theorem, which states that the impulse (change in momentum) of an object is equal to the force applied to the object multiplied by the time over which the force is applied.

F = (m * vi) / t = (0.480 kg * 5.00 m/s) / 1.20×10-4 s = 4.00x104 N

The force exerted on the bottom of the bottle is equal to the pressure (P) multiplied by the area (A) of the bottom of the bottle.

A = (Pi/4) * (Dbot^2) = (Pi/4) * (6.50 cm)^2 = 90.79 cm^2

F = P * A = 70.0 MPa * 90.79 cm^2 = 6.36x10^5 N

In physics, force is calculated using the formula: force = mass x acceleration (F = ma). The unit of force is typically the Newton (N). To calculate force, you need to know the mass of the object and the acceleration it is experiencing. Once you have that information, you can substitute it into the formula and solve for force.

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The expected life span of a star with a low stellar mass, a relatively cool temperature, and dim relative brightness is 10,000 to 200,000 million years and is therefore denoted as option D.

This is referred to as an astronomical object comprising a luminous spheroid of plasma held together by its gravity an d they are usually visible at night.

We should also note that stars with a high stellar mass burn burn their fuel at a much faster rate and can shine for just millions of years while on the other hand stars with a low stellar mass burn burn their fuel at a much slower rate and can shine for just billions of years.

This therefore means that the expected life span of a star with a low stellar mass and dim relative brightness will most likely be between 10,000 to 200,000 million years hence why option D was chosen.

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The force exerted on the rope by the ceiling is in the vertical direction. This means that the force is pushing straight down on the rope and is perpendicular to the plane of the ceiling.

The force exerted on the rope by the ceiling is the result of the gravity of the rope itself and the weight of any objects or materials that are attached to the rope.

In order for the force to remain in the vertical direction, the rope must be secured at the top of the ceiling and not allowed to move in any other direction. If the rope were to move in any other direction, the force exerted on the rope by the ceiling would no longer be in the vertical direction and the rope would no longer remain secure.

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Answer:

0.90 seconds

Explanation:

Given Info:

Object of mass ⇒ 1.2 kg

Velocity of 2.0m/s when it is acted on by a force of 4.0 N

Velocity of the object Increased to 5.0 m/s

Question:

For what period of time does the force act on the object?

Solve:

We first need to know the formula:

F = ma  Or F = m(v-u)/t

F = force

m = mass of an object

a = acceleration

v = Final Velocity

u = Initial Velocity

a = Acceleration

t = Time Taken

Knowing that;

Force = 4.0 N

Mass of an object = 1.2 kg

Final velocity = 5.0m/s

Initial velocity = 2.0m/s

Time taken = [t]

Now lets plug it in the formula:

F = m(v-u)/t

4.0 = 1.2(5-2)/t

t = 0.90 seconds.

Hence, period of time at which force is acted on the object is 0.90 sec.

RevyBreeze

Answer:

10 kg

Explanation:

Use law of conservation of momentum

momentum of system before collision = momentum of system after collision

    5 kg * 20 m/s +  x kg  * 10 m/s         = 5 kg * 10 m/s   +  x kg * 15 m/s

           100  + 10x                                   = 50 + 15 x

                 50                                =    5x

                   x = 10 kg