A flat slab of styrofoam, with a density of 32 kg/m3, floats on a lake. what minimum volume must the slab have so that a 45 kg boy can sit on the slab without it sinking?

The spring stiffness, or spring constant, of the given perfect spring is approximately 137.9623 N/m. This means that for every meter of extension, the spring will exert a force of 137.9623 N.

This value was obtained by applying Hooke's Law and calculating the ratio of the change in force to the change in extension using two data points from the table.

To determine the spring stiffness, we need to calculate the spring constant (k) using Hooke's Law, which states that the force applied on a spring is directly proportional to the extension it undergoes.

Hooke's Law can be represented as F = kx, where F is the applied force and x is the extension of the spring.

In the given table, we have the applied forces (F) and corresponding extensions (x). We can use any two data points from the table to find the spring constant.

Let's choose the first and last data points from the table:

(x1, F1) = (0.43 m, 59.34 N) and (x2, F2) = (0.96 m, 132.48 N).

Using Hooke's Law, we can calculate the spring constant (k) as follows:

k = (F2 - F1) / (x2 - x1)
  = (132.48 N - 59.34 N) / (0.96 m - 0.43 m)
  = 73.14 N / 0.53 m
  ≈ 137.9623 N/m (rounded to 4 decimal places)

Therefore, the spring stiffness, or spring constant, is approximately 137.9623 N/m.

Hooke's Law is a fundamental concept in physics that describes the relationship between the force applied on a spring and the resulting extension it undergoes.

The formula F = kx represents this relationship, where F is the applied force, k is the spring constant, and x is the extension of the spring.

By using two data points from the table, we can calculate the spring constant by finding the ratio of the change in force to the change in extension.

This calculation allows us to quantify the stiffness of the spring.
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Answer:

TRUE.

Explanation:

Answer:

Zodiac signs

Explanation:

Ball 1 will be going faster at the bottom platform is more inclined, it will allow the ball to roll down faster.

A surface is said to be frictionless if it has a force acting on any object that is almost zero or negligible, i.e., there is no resistance between the surface and the substance, allowing the object to slide and move freely without any friction.

The skater has no net acceleration if no forces are acting on him and he is on a frictionless surface. The acceleration must be zero because the skier must have mass. If there is no acceleration while an object is moving, its velocity stays constant.

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The mass of the blood denoted is 501.6 g.

The mass of the blood denoted by Keona is calculated by applying the formula for density of a liquid as shown below.

density = mass/volume

mass = density x volume

The given parameters include;

The mass of the blood is calculated as follows;

mass = 1.06 g/mL x 473.176 mL

mass = 501.6 g

Thus, the mass of the blood is calculated from the formula of density.

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The complete question is below

While participating in a blood drive at school, Keona learns that blood has a density of 1.06 g/mL. She donates one pint of blood, which is equal to 473.176 mL. find the mass of the blood denoted.

Answer:

0.5kg

Explanation:

Given parameters:

Potential energy = 147J

Height  = 30m

Unknown:

Mass of the bird  = ?

Solution:

Potential energy is the energy due to the position of a body. Now, the expression for finding the potential energy is given as;

      P.E  = mgH

m is the mass

g is the acceleration due to gravity = 9.8m/s²

H is the height

      147  = m x 9.8 x 30

         m = 0.5kg

The term you are looking for is "chemical battery". Chemical batteries work by converting chemical energy into electrical energy through a series of chemical reactions. These reactions take place within the battery's cells, which are composed of two electrodes and an electrolyte.

When the battery is connected to a circuit, the chemical reactions produce an electrical current that can be used to power devices. Chemical batteries are widely used in many applications, including consumer electronics, electric vehicles, and renewable energy systems. They are a crucial component of our modern technological society, and ongoing research is focused on developing more efficient and sustainable battery technologies to meet growing energy demands.

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Answer: d is correct

Explanation:

i did the quiz

The fraction of the car that is immersed when it floats is approximately 0.29 or 29%.

We first need to understand the concept of buoyancy and how it works. When an object is placed in a fluid, such as water, it experiences an upward force known as buoyancy. This force is equal to the weight of the fluid displaced by the object. If the buoyant force is greater than the weight of the object, the object will float.
In the case of the car, we need to determine the volume of water that is displaced by the car when it floats. This volume is equal to the volume of the car that is submerged in water. We can calculate this volume by dividing the weight of the car by the density of water (1000 kg/m3).

The weight of the car is given as 910 kg. Dividing this by the density of water gives us a volume of 0.91 m3. This means that when the car floats, 0.91 m3 of water is displaced.Now we need to determine what fraction of the car is submerged when it floats. To do this, we need to compare the volume of water displaced by the car to the total volume of the car. The total volume of the car is given as 3.1 m3.

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Answer:

Because the light only spears to part of the water so it would appear less deep

The spring constant is 0.28 N/m if 14 oscillations take 11.0s.

In physics, oscillations are defined as a repetitive variation, typically in time, of some measure about a central value (often a point of equilibrium) or between two or more different states. The spring constant (k) is a measure of a spring's stiffness. It is the amount of force required to displace a spring a specific distance (typically one meter).

The spring constant formula is expressed as:-

F=kx

where k is the spring constant and x is the displacement produced by the force F.

We know that the air-track glider has a mass of 240 g, and it is attached to a spring. The glider is pushed 8.2 cm against the spring and then released. The oscillations are then observed, and it is found that 14 oscillations occur in 11.0 s.

We can calculate the spring constant by using this information.

Let us now calculate the spring constant k.

For a mass (m) attached to a spring, the formula for the time period T is:-

T=2π√m/k

We know that the time period T = 11/14 s. We also know that the glider has a mass of 240 g or 0.24 kg.

Now, we can solve the formula for the spring constant k as follows:-

k= 4π²m/T²k = 4π² × 0.24 kg / (11/14 s)²k = 0.28 N/m

Therefore, the spring constant is 0.28 N/m.

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When a switch is closed, the electrons from the battery will reach the bulb at the speed of light or 299,792,458 meters per second. So, it will take approximately 3.34 x \(10^{-9}\) seconds for electrons from the battery to reach the bulb.

Electric current is the flow of electric charges. The flow of electric charges through a circuit is known as current. It is defined as the rate of flow of electric charges through a conductor. The SI unit of electric current is Ampere (A). Electric charge is a fundamental property of matter that results from an imbalance in the number of protons and electrons present in an atom or molecule. When the number of electrons is more than the number of protons, an atom or molecule is said to be negatively charged.

On the other hand, when the number of electrons is less than the number of protons, an atom or molecule is said to be positively charged. Electric potential is the work done per unit charge by an external force in moving a positive charge from infinity to a point in the electric field. The electric potential difference between two points in an electric field is the work done per unit charge by an external force in moving a positive charge from one point to another in the electric field.

The SI unit of electric potential difference is also volt (V). Therefore, , it will take approximately 3.34 x \(10^{-9}\) seconds for electrons from the battery to reach the bulb.

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The average rate at which the cable does work is 294,000 J/s.

The given parameters:

The average rate at which the cable does work is calculated as follows;

\(P = \frac{E}{t} \\\\P = \frac{mgh}{t} \\\\P = \frac{3000 \times 9.8 \times 200}{20} \\\\P = 294,000 \ J/s\)

Thus, the average rate at which the cable does work is 294,000 J/s.

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To calculate the intensity of the light source for the viewer after being reflected at point (0, 0, 0), we can use the inverse square law for light intensity.

The formula for the intensity of light at a certain distance from the source is given by:

I = I₀ / d²

Where:

I is the intensity of light at a certain distance

I₀ is the initial intensity of the light source

d is the distance from the light source to the point of observation

First, let's calculate the distance from the light source to the point of reflection (0, 0, 0). Using the distance formula, we have:

d₁ = √[(-4 - 0)² + (3 - 0)² + (0 - 0)²]

= √[16 + 9 + 0]

= √25

= 5

Next, let's calculate the distance from the point of reflection (0, 0, 0) to the viewer (2, 2, 2):

d₂ = √[(2 - 0)² + (2 - 0)² + (2 - 0)²]

= √[4 + 4 + 4]

= √12

= 2√3

Now, we can calculate the intensity of the light for the viewer after reflection using the inverse square law:

I_viewer = I₀ / (d₁ + d₂)²

= 1000 / (5 + 2√3)²

To simplify the expression, we can rationalize the denominator:

I_viewer = 1000 / (5 + 2√3)²

= 1000 / (25 + 20√3 + 12)

= 1000 / 37 + 20√3

Therefore, the intensity of the light source for the viewer, after being reflected at point (0, 0, 0), is approximately 27.03 lux.

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The correct answer is option is  B. Auger. Because  an auger drill rig is specifically designed for drilling in soft soils. It uses a large rotating drill bit with a helical screw-like design to remove soil from the hole it is drilling.

Also, It is a popular choice for environmental and geotechnical drilling projects, as it can drill quickly and efficiently through soft, saturated soils.. Auger drills are available in a variety of sizes and configurations, and can be used with different drilling techniques, including direct push, rotary, and sonic drilling. Hence, the correct answer is option : B.

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Explanation:

Body systems work together to perform all the functions necessary for the survival of

An organism

C. Explain why the failure of one organ or organ

system can affect the function of other body

systems in an organism.

A standing wave consists of nodes and antinodes. Nodes are points of no displacement, while antinodes are points of maximum displacement. Understanding the arrangement of nodes and antinodes is essential in analyzing standing wave patterns.

A standing wave is created by the superposition of two waves with the same amplitude and frequency but traveling in opposite directions. As a result, certain points along the wave remain stationary while others experience maximum displacement. These stationary points are known as nodes, where the amplitude of the wave is always zero. The points of maximum displacement, where the amplitude is at its maximum, are called antinodes.

In a standing wave, the nodes and antinodes are arranged in a specific pattern. For example, in a simple harmonic standing wave on a vibrating string, there is a node at each end of the string and additional nodes at regular intervals along the string. The antinodes, on the other hand, are located halfway between each pair of adjacent nodes. This pattern repeats itself as the wave oscillates, creating a stationary wave pattern.

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In the game of volleyball, low intensity is often used during warm-up exercises or cool-down sessions.

These exercises are designed to help players get their bodies warmed up and ready to play, or to help them cool down after a game or practice. There are several low-intensity exercises that are commonly used in volleyball, including stretching, jogging, and light calisthenics.Stretching is a key part of any volleyball warm-up routine. This helps to get the blood flowing to the muscles and prepares them for the more intense exercises that are to follow. Some of the most common stretching exercises include hamstring stretches, quad stretches, and shoulder stretches. These exercises help to improve flexibility and range of motion, which can reduce the risk of injury during the game.Jogging is another common low-intensity exercise that is used in volleyball.

This helps to get the heart rate up and prepare the body for more intense activities. Jogging can also help players to develop endurance and stamina, which can be critical in the later stages of a game or tournament.Light calisthenics, such as jumping jacks, sit-ups, and push-ups, can also be used to warm up or cool down. These exercises are designed to help improve strength and endurance while also promoting flexibility and range of motion. Players can choose from a variety of different exercises to create a customized workout routine that meets their specific needs and goals.Overall, low-intensity exercises are an important part of any volleyball training program. They help to prepare the body for more intense activities while also promoting flexibility, endurance, and strength. By incorporating these exercises into their training routine, volleyball players can improve their overall fitness and performance on the court.

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Circular motion is produced uniformly by centripetal force, which is parallel to tangential velocity. The degree of curve r decreases.

A tangent in geometry is a direct line that only touches a curved once. Therefore, we refer to an individual who begins off talking about one topic and then veers off topic as going off on a tangent. The new thread is peripheral to a original one; it makes a passing reference to it before diverging.

Adjective. being or going in the path of a tangential; being of the type of a tangent. just in contact; tenuously linked data that is unrelated. digressive or divergent.

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Ship A with a greater angle of projection will hit the target first.

The time of flight is the time a projectile takes to reach maximum height and return to the plane of projection. The time of flight is just double the maximum-height time.

Mathematically, time of flight is given as;

T = (2usinθ)/g

where;

The time of flight depends on initial velocity of the object and angle of projection.

When the initial velocity of both ships is the same and angle of projection varies, the difference in the time of flight will depend greatly on the angle of projection.

Thus, ship A with a greater angle of projection will hit the target first.

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Answer:

he weight vector approaches the point within the mass, the equilibrium becomes unstable

any change in the conditions of the environment can cause the rock to slide

Explanation:

In general, a rock in a mountain is in stable equilibrium with the help of the force of gravity that causes its weight to be within the center of mass, that is, the weight vector is first and then it is electing the center of mass.

When for some reason the weight vector approaches the point within the mass, the equilibrium becomes unstable, and any change in the conditions of the environment can cause the rock to slide, for example a rain that reduces the friction force.

It may happen that the weight vector is after the center of the hubs, in this case there is an unstable balance and the stone is held in place by the force of friction with the environment that surrounds it, if this friction decreases the rock will slide .

Answer:2kwh

Explanation:

Answer:

The length of the pendulum is 2.954 m.

Explanation:

Given;

period of the pendulum, T = 3.45 s

The period of the pendulum oscillation is given as;

\(T = 2\pi \sqrt{\frac{l}{g} } \\\\\frac{T}{2\pi} = \sqrt{\frac{l}{g} }\\\\\frac{T^2}{4\pi ^2} = \frac{l}{g} \\\\l = \frac{gT^2}{4\pi ^2} \\\\\)

where;

L is length of the pendulum

g is acceleration due to gravity on Earth = 9.8 m/s²

\(l = \frac{gT^2}{4\pi ^2}\\\\l = \frac{(9.8)(3.45)^2}{4\pi ^2}\\\\l = 2.954 \ m\)

Therefore, the length of the pendulum is 2.954 m.

The force does the racket exert on the ball will be 18 N. Force is defined as the product of mass and acceleration. Its unit is Newton.

Force is defined as the push or pull applied to the body. Sometimes it is used to change the shape, size, and direction of the body.

The given data in the problem is;

The mass of tennis ball is, \(\rm m= 0.060 \ kg\)

The speed of tennis ball is,\(\rm u = 25m/s\)

The rebound's speed is,\(\rm v = 40 \ m/sec\)

The time period of ball is in contact,\(\rm t=50 \ ms =50 \times 10^{-3} \ sec\)

The force on the rocket is found as;

\(\rm F= m [\frac{v-u}{t}] \\\\\ \rm F= 0.060[ \frac{40-25}{50 \times 10^{-3}} ]\\\\\ F= 18 \ N\)

Hence, the force does the racket exert on the ball will be 18 N.

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Answer:

Q=mc∆tita.

490J= m× 0.5J/Kg/C × (18-0°C)

490J= m × 9J/kg

490J

9J/Kg = m.

m= 54.4Kg

The equivalent resistance of the circuit is 65.98 Ω.

What is Resistor?

A resistor is an electrical component that limits or regulates the flow of electrical current in a circuit. It is designed to provide a specific amount of resistance to the flow of electrons, measured in ohms, and is typically made of a material that can resist the flow of electricity, such as carbon or metal. Resistors are used in a wide range of electronic devices and circuits, from simple LED flashers to complex computer systems.

To find the equivalent resistance of the circuit, we need to use the formula for resistors in parallel:

1/Req = 1/R1 + 1/R2 + 1/R3 + 1/R4

where Req is the equivalent resistance, and R1, R2, R3, and R4 are the resistances of the four resistors.

Substituting the given values, we get:

1/Req = 1/6.60 × 102 + 1/2.40 × 102 + 1/2.00 × 102 + 1/2.00 × 102

1/Req = 0.01515

Req = 65.98 Ω

Therefore, the equivalent resistance of the circuit is 65.98 Ω.

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Answer:

6.62 seconds

Explanation:

7. Gravitational force is an attractive force that always exists between any two objects with mass. Gravitational fields are usually studied on a macroscopic scale, such as with planets and stars

8. Planets orbit stars because of the gravitational force between them.

9. The strength of an object's gravitational field is determined by its mass and distance from other objects.

Gravitational force  is described as the  force of attraction between any two bodies is directly proportional to the product of their masses and is inversely proportional to the square of the distance between them.

The gravitational force of the star attracts the planet towards it which makes it tp move  in a curved path around the star.

The gravitational force between the planet and the star is the reason why the planet move in an elliptical orbit around the star.

The strength of an object's gravitational field is determined by its mass and the distance between it and other objects, and has an important function of shaping the dynamics and structure of the universe.

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Answer:

Explanation:

According to Newton's second law

F = ma

m is the mass = 0.12kg

a is the acceleration = v-u/t

a = 5-0/0.6

a = 5/0.6

a = 8.333m/s²

Get the force

F = 0.12 * 8.333

F = 1.0N

Hence the average resultant force acting on the ball while it is being hit is 1.0N

Consider two places (stations a and b) that are 150 km away from one another. The surface air pressure at station an is 1024 mb, while the surface air pressure at station b is 1012 mb. Therefore, the pressure gradient between the two cities is 0.00008 mb/m.

To calculate the pressure gradient between the two stations, we need to determine the change in pressure per unit distance.

Pressure gradient = (Pressure difference) / (Distance)

Given:

Pressure at station A (P₁) = 1024 mb

Pressure at station B (P₂) = 1012 mb

Distance between stations A and B (D) = 150 km

Pressure difference = P₁ - P₂ = 1024 mb - 1012 mb = 12 mb

Now, we can calculate the pressure gradient:

Pressure gradient = (Pressure difference) / (Distance) = 12 mb / 150 km

Note that the units of distance and pressure difference need to be consistent. In this case, we'll convert kilometers (km) to meters (m) to match the unit of pressure difference (mb).

Pressure gradient = 12 mb / (150,000 m) = 0.00008 mb/m

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