A toy gun mounted horizontally shoots a dart at a target. It hits the target 3 m away. The dart hit 0.82 m below the target.
What is the muzzle velocity of the dart gun? Please express your answer to three significant figures.

Answer:

Explanation:

Assuming there is no friction or other force involved, recall that energy is conserved in a system as long as no external force acts on the system.

Using the data from point C, we can find out that the total energy of the system is 156 because  \(E = K+Pe\).

Since at point A the object doesn't move, it has Kinetic energy of 0, because \(K=\frac{1}{2} mv^2\), therefore \(0=\frac{1}{2} m0^2\). However at point A it has maximum Potential energy, because \(Pe=mgh\).

At point B, we can find the Kinetic energy by using \(E = K+Pe\). Substitute values:

\(156=104+K\\52=K\)

At point D, the object has maximum kinetic energy and no potential energy, therefore it's the opposite of point A.

projectile's vertical speed v yv y v, start , y,  drops prior to reaching its maximum height since its acceleration is in the opposite direction. Since the object's height is rising, the initial direction of the velocity is upward

.

At the projectile's highest point, vertical velocity zeroes out. After reaching the highest point, the vertical speed increases due of the same-direction acceleration. As the object's height lowers, the vertical velocity has a downward direction.

In projectile The beginning vertical velocity determines the maximum height. Increasing the launch angle raises the maximum height because steeper launch angles have a larger vertical velocity component.

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Answer:

Concave lens

.............

According to the triangle law of vector addition, the outcome must be zero if the sum of two forces remains force.

what is the resultant vector ?

A resultant vector is a vector that combines the effects of all the vectors. The resultant vector is the result of adding two or more vectors.

The vector combo of two or more single vectors is the resulting vector definition. Each vector has an x-component (right or left direction) and a y-component (up or down direction), however one of them may be zero. The resulting vector has an x component equal to the total of the single vectors' x components and a y component equal to the sum of the separate vectors' y components. For three-dimensional vectors, the resultant's z-component is equal to the total of the single vectors' z-components. This essay will concentrate on vectors in two dimensions.

A resultant vector differs from a single vector in that the former represents the force, speed, or other quantity from a single source, whereas the latter represents the force, speed, or other quantity from several sources.

In this case, the three forces will not keep the particle in equilibrium, hence the net force will not be zero and the particle will move with an acceleration.

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The volume of the air bubble just below the surface of the lake would be 0.000015 m³  = 1.5 cm³.

V₁ = 1.5 cm³

P₁ = ρg(10) = (1000 kg/m³ * 9.8 m/s² * 10 m)

To convert V₁ to m³:

Volume₁ = 1.5 cm³ * (1 m / 100 cm)³ = 0.000015 m³

we then substitute the values into the equation:

Volume ₂ = 0.000015 m³ * (P₂ / (1000 kg/m³ * 9.8 m/s² * 10 m))

Pressure ₂ = ρg(10) = (1000 kg/m³ * 9.8 m/s² * 10 m)

We then substitute the value of P₂ into the equation for Volume 2:

V₂ = 0.000015 m³ * ((1000 kg/m³ * 9.8 m/s² * 10 m) / (1000 kg/m³ * 9.8 m/s² * 10 m))

Volume₂ = 0.000015 m³

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Answer:

see below

Explanation:

 It boils (or evaporates)  and becomes gaseous nitrogen like water turns to water vapor when it gets warm enough

The compressive stress in the steel column is found to be approximately 397.6 MPa.

The formula for calculating the area of a circle can be used to determine the steel column's cross-sectional area (A),

A = π*(d/2)², diameter of the column is d,

A = π*(0.4/2)²

A = 0.1257m²

The compressive stress (σ) in the column can be calculated using the formula, σ = F/A, F is the load carried by the column is F.

σ = 50 MN/0.1257m²

σ = 397.6 MPa

Therefore, the compressive stress in the steel column is approximately 397.6 MPa.

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Answer:

sandy loam

Explanation:

The best soil for most plants to ensure optimum growth is a rich, sandy loam. This soil is an even mixture of all three main types of soil. In most cases, you'll need to amend the soil with compost. Depending on how compact the soil is, you may need to add peat moss and sand.

Point B on the standing wave is referred to as a node. The correct option is B.

In a standing wave, a node refers to a point or region of minimal or zero amplitude. It is a point where the displacement of the wave is always zero, and it remains stationary as the wave oscillates. At a node, the particles or elements that make up the medium through which the wave is propagating do not experience any displacement from their equilibrium positions.

Nodes occur due to destructive interference between two waves of equal frequency and amplitude traveling in opposite directions. The superposition of these waves results in the formation of a standing wave pattern, characterized by nodes and antinodes.

Nodes are important features of standing waves and have several properties:

Fixed position: Nodes maintain a fixed location within the standing wave pattern and do not move as the wave oscillates.

Zero displacements: At nodes, the amplitude of the wave is zero, and there is no displacement of the medium particles or elements.

Energy concentration: Nodes are regions of low energy in a standing wave. The energy of the wave is primarily concentrated in the regions between the nodes, known as antinodes.

Separation distance: The distance between adjacent nodes in a standing wave is equal to half the wavelength of the wave.

Therefore, The correct answer is option B.

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The approximate number of taste buds that humans have is 10,000 (option C).

Tastebuds are any of the small organs on the tongue used for tasting.

Taste buds are cells on the tongue that allow one to perceive tastes, including sweet, salty, sour, bitter and umami.

Taste buds regenerate approximately every 10 days, which means injured taste buds usually repair on their own. The average adult human has between 2000 and 8000 tastebuds.

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Answer:

a) \(v=1.102122995 \approx 1.10m/s\)

b) \(x=0.0451m\)

c) \(v_m=1.75m/s\)

Explanation:

From the question we are told that

Mass of soft rubber\(M_r= 5.26g=>0.00526kg\)

Spring compression \(d_C= 4.93 cm=>0.0493m\)

Stiffness constant \(k= 7.90 N/m\)

Ball Distance \(d=14.6=>0.146\)

Frictional force \(f=0.0328 N\)

a)Generally the equation for motion of the second ball according to Newton's law is given by

\(\frac{1}{2}kc^2-f\triangle x=\frac{1}{2} mv^2\)

\(v=\sqrt{\frac{k*d_c^2-2f\triangle x}{m}}\)

\(v=\sqrt{\frac{(7.90 )(0.0493)^2-2*(0.0328)(0.0493+0.146)}{0.00526}}\)

\(v=1.102122995 \approx 1.10m/s\)

b)Generally for speed to be at maximum spring force must equal frictional force

At distance

\(f=kc'\)

\(d_c'=f/k\)

\(d_c'=0.0328 /7.90\)

\(d_c'=0.004151898734=>0.0042m\)

Therefore

Ball is at maximum speed at

\(x=d_c-d_c'\)

\(x=0.0493-0.0042\)

\(x=0.0451m\)

c)Generally maximum velocity is represented mathematically as

\(\frac{1}{2}kc^2-f\triangle x'=\frac{1}{2} mv'^2+\frac{1}{2}kc'^2\)

\(\frac{1}{2} mv'^2 = \frac{1}{2}kc^2-f\triangle x'-\frac{1}{2}kc'^2\\\)

\(v=\sqrt{\frac{k*d_c^2-2*f*x-kd_c'^2}{m}}\)

\(v=\sqrt{\frac{7.90 *0.0493^2-2*(0.0328)*(0.0451)-7.90(0.0042)^2}{0.00526}}\)

\(v=1.749685197m/s\)

\(v_m=1.75m/s\)

Answer: The density of the heated air in the balloon would be 0.00124 g/mL.

Explanation: The density of a substance is defined as its mass per unit volume. If the mass of the air in the balloon remained unchanged, but its volume increased by 5%, then the density of the air must have decreased by 5%. This means that the density of the heated air in the balloon would be 0.0013 g/mL * (1 - 0.05) = 0.00124 g/mL.

An annotated bibliography is a list of citations to books, articles, and documents. Each citation is followed by a brief descriptive and evaluative paragraph, the annotation. The purpose of the annotation is to inform the reader of the relevance, accuracy, and quality of the sources cited.

The cue column is typically located on the left-hand side of the page and is used to jot down keywords or questions that serve as cues for recalling the main points of the lecture or reading. The note-taking area is located on the right-hand side of the page and is used to write down detailed notes about the lecture or reading.

The summary section is located at the bottom of the page and is used to summarize the key points of the notes. Overall, the Cornell method is an effective way to organize and retain information during lectures and readings.

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Answer:

7.77

Explanation:

F=μ*m

n=w which also means n=mg

14.7=0.193*n

n=76.2

76.2=m*9.8

m=7.77

Friction is the resistance to motion of one object moving relative to another. The friction will be 7.77

According to the International Journal of Parallel, Emergent and Distributed Systems(opens in new tab), it is not treated as a fundamental force, like gravity or electromagnetism. Instead, scientists believe it is the result of the electromagnetic attraction between charged particles in two touching surfaces.

Scientists began piecing together the laws governing friction in the 1400s, according to the book Soil Mechanics(opens in new tab), but because the interactions are so complex.

F=μ*m, n=w which also means n=mg, 14.7=0.193*n, n=76.2, 76.2=m*9.8, m=7.77.

Therefore, Friction is the resistance to motion of one object moving relative to another. The friction will be 7.77.

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Answer:let initial velocity u=14m/s

Final velocity v=20m/s

Time taken t=30

Acceleration =a

V=u +at

a= (20-14)/30

a=0.2m/s^2

Explanation:

Acceleration is the change in velocity with respect to time.

If the coordinates of the initial point and the end point of a vector is given, the Distance Formula can be used to find its magnitude. resultant force is the force (magnitude and direction) obtained when two or more forces are combined.

Answer:

Where's the question?

Explanation:

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The head loss doubles when the average velocity is doubled.

The vector quantity velocity (v), denoted by equation v = s/t, quantifies dislocation (or shift in position, s), over change in time (t).

Velocity is the pace and direction of the an object's movement, whereas speed is the timekeeping at which an object is travelling along a path.In other words, velocity is a vector, whereas speed is indeed a scalar value.

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Answer:

C)focusing on one goal at a time

Explanation:

Self-modification programs could be regarded as a program that help individual in managing unwanted as well as dysfunctional behavioral responses whenever they are going through a problem and try to deal with it. For instance the dysfunctional behavioral response for someone with a panic attack is avoidance. Some of the the steps that are involved in in a self-modification program are;

✓ specifying target behavior ✓designing a program

✓ gathering data about target behavior

Answer:

c

Explanation:

on edge 2020

Answer:

Beaker

Graduated Cylinders

Volumetric flask

Test tube

Funnel

Answer:

\(\boxed {\boxed {\sf 100,000 \ Joules}}\)

Explanation:

Kinetic energy is energy due to motion. The formula is half the product of mass and velocity squared.

\(E_k= \frac{1}{2} mv^2\)

The mass of the roller coaster car is 2000 kilograms and the car is moving 10 meters per second.

Substitute these values into the formula.

\(E_k= \frac{1}{2} (2000 \ kg ) \times (10 \ m/s)^2\)

Solve the exponent.

\(E_k= \frac{1}{2} (2000 \ kg ) \times (100 \ m^2/s^2)\)

Multiply the first two numbers together.

\(E_k= 1000 \ kg \times (100 \ m^2/s^2)\)

Multiply again.

\(E_k= 100,000 \ kg*m^2/s^2\)

\(E_k= 100,000 \ J\)

The roller coaster car has 100,000 Joules of kinetic energy.

Electromagnetic radiation of a specific wavelength or energy is called a photon.

Electromagnetic radiation of a specific wavelength or energy is called a photon. A photon is a fundamental particle of light and is the smallest unit of electromagnetic radiation. It has no mass, but carries energy and momentum. Photons travel through space at the speed of light and can exhibit both wave-like and particle-like behaviors.The energy of a photon is directly proportional to its frequency or inversely proportional to its wavelength. This relationship is known as the Planck-Einstein equation and can be expressed as E = hf, where E is the energy of the photon, h is Planck's constant, and f is the frequency of the radiation.When a photon interacts with matter, it can be absorbed, reflected, or scattered. The energy of the photon is transferred to the absorbing material, causing an excitation or ionization of the atoms or molecules. This process is the basis for many scientific techniques, such as spectroscopy, where the absorption or emission of photons by a material is used to identify its chemical composition and structure. Understanding the properties of photons and their interactions with matter is essential for many fields of science, including optics, physics, and chemistry.

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Answer: sea-level rise, extreme weather events, and drought, and water scarcity.

Explanation:

The left hemisphere of the brain is primarily needed in scenario, Solving a complex mathematical problem. Option a is correct.

The brain is divided into two hemispheres, left and right, and they are specialized for different cognitive functions. The left hemisphere of the brain is primarily responsible for language processing, logical reasoning, and analytical thinking. Solving a complex mathematical problem involves logical reasoning, analytical thinking, and the use of language, all of which are primarily controlled by the left hemisphere of the brain.

Mathematical problems often require precise calculations, sequencing of steps, and the use of symbols and formulas, all of which require a strong left-brain function. In contrast, appreciating a work of art, listening to music, and recognizing facial expressions are all more complex perceptual and emotional processes that involve the right hemisphere of the brain. Option a is correct.

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--The complete question is, In which of the following scenarios is the left hemisphere of the brain primarily needed?

a. Solving a complex mathematical problem.

b. Appreciating a work of art

c. Listening to music

d. Recognizing facial expressions.--

From the histogram given, there were at approximately 7 downloads between 3pm and 4pm . This can be derived by counting the rows in that time period.

A histogram is a graph that depicts the frequency distribution of a few data points from a single variable.

Histograms frequently divide data into "bins" or "range groups" and count the number of data points that belong to each of those bins.

Histograms are frequently used to depict the key properties of data distribution in a handy format. It is especially beneficial when working with huge data sets (more than 100 observations). It can aid in the detection of uncommon observations (outliers) or gaps in the data.2

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answer:52

Explanation: add 50+0.20=52