In A boat race, Dan drove his motorboat over the 1000-meter course from start to finish in 40 seconds. What was Dan's average speed during the race ?

Answer:

initial speed of sound at 30 degree C

[tex]v_1 = 349.6 m/s[/tex]

final speed of sound at 36 degree C

[tex]v_2 = 353.2 m/s[/tex]

Explanation:

As we know that velocity of the sound in air is given by the formula as

[tex]v = 331.6 + 0.6 t[/tex]

here we know that

t = temperature or air in degree celcius

so here at 30 degree celcius we can say that

[tex]v_1 = 331.6 + 0.6(30)[/tex]

[tex]v_1 = 349.6 m/s[/tex]

now at 36 degree C the speed of sound is given as

[tex]v_2 = 331.6 + 0.6(36)[/tex]

[tex]v_2 = 353.2 m/s[/tex]

The normal force exerted on the book is 9.8067 N, which is calculated using the mass of the book, the acceleration due to gravity, and the cosine of the slope angle (60°).

To determine the normal force exerted on the book, we need to consider the forces at play when a book is held on an inclined plane with a slope of 60.0°. The weight of the book (mass times the acceleration due to gravity) acts vertically downward. This weight can be broken down into two components: one perpendicular to the slope (which contributes to the normal force) and one parallel to the slope. The parallel component is counteracted by the horizontal force that keeps the book in equilibrium, and hence does not affect the normal force. The component of the weight perpendicular to the slope is what contributes to the normal force. Thus, with a mass of 2.0 kg and using the value of the acceleration due to gravity (9.8067 m/s²), the normal force can be calculated as the product of the mass, the acceleration due to gravity, and the cosine of the slope angle, which is 60.0° in this case.

As the book is in equilibrium, the normal force is equal to the weight component perpendicular to the slope. The force due to gravity is Fg = m × g, where m is mass and g is acceleration due to gravity. Therefore:

The correct answer is that the normal force exerted on the book is 9.8 N.

To solve this problem, we need to consider the forces acting on the book in the direction perpendicular to the inclined board. The normal force (N) is the force exerted by the board on the book that is perpendicular to the surface of the board.

First, we need to break down the gravitational force acting on the book into two components: one parallel to the inclined board and one perpendicular to it. The gravitational force [tex](F_g)[/tex] acting on the book is the product of its mass (m) and the acceleration due to gravity (g), which is approximately 9.8 m/s².

So, the gravitational force is:

[tex]\[ F_g = m \cdot g = 2.0 \, \text{kg} \cdot 9.8 \, \text{m/s}^2 = 19.6 \, \text{N} \][/tex]

The component of the gravitational force parallel to the inclined board [tex](F_parallel)[/tex] can be found using the sine of the angle of the incline:

[tex]\[ F_{\text{parallel}} = F_g \cdot \sin(\theta) \][/tex]

[tex]\[ F_{\text{parallel}} = 19.6 \, \text{N} \cdot \sin(60.0\°) \][/tex]

[tex]\[ F_{\text{parallel}} = 19.6 \, \text{N} \cdot \frac{\sqrt{3}}{2} \][/tex]

[tex]\[ F_{\text{parallel}} = 19.6 \, \text{N} \cdot 0.866 \][/tex]

[tex]\[ F_{\text{parallel}} = 17.0 \, \text{N} \][/tex]

The component of the gravitational force perpendicular to the inclined board [tex](F_perpendicular)[/tex] can be found using the cosine of the angle of the incline:

[tex]\[ F_{\text{perpendicular}} = F_g \cdot \cos(\theta) \][/tex]

[tex]\[ F_{\text{perpendicular}} = 19.6 \, \text{N} \cdot \cos(60.0\°) \][/tex]

[tex]\[ F_{\text{perpendicular}} = 19.6 \, \text{N} \cdot \frac{1}{2} \][/tex]

[tex]\[ F_{\text{perpendicular}} = 9.8 \, \text{N} \][/tex]

Since the book is in equilibrium, the sum of the forces in the perpendicular direction must be zero. This means that the normal force (N) must be equal in magnitude and opposite in direction to the perpendicular component of the gravitational force:

[tex]\[ N = F_{\text{perpendicular}} \][/tex]

[tex]\[ N = 9.8 \, \text{N} \][/tex]

To find the number of revolutions a wheel makes after a torque is removed, calculate the angular velocity after torque application, then the angle of rotation during acceleration and uniform motion periods, and sum these angles. Convert the total angle in radians to revolutions by dividing by 2π.

To calculate the number of revolutions a wheel makes after a torque is removed, you need to consider both the angular acceleration while the torque was applied and the subsequent angular velocity for the remainder of the time. The wheel starts from rest, so the initial angular velocity (ω0) is zero. During the first 4 seconds, the wheel undergoes angular acceleration (α) due to the torque, after which the wheel continues to rotate at the angular velocity it reaches at the end of 4 seconds. It is given that the angular acceleration is 2 rad/s².

First, find the angular velocity after 4 seconds using the formula ω = ω0 + αt, which gives ω = 0 + (2 rad/s²)(4 s) = 8 rad/s. This is the constant angular velocity for the next 11 seconds since there is no more torque applied.

To solve for the angle (θ) in radians that the wheel has turned during the full 15 seconds, use the equation for angular motion, θ = ω0t + ½αt², for the first 4 seconds and θ = ωt for the last 11 seconds. These are the angles during the intervals of constant acceleration and constant angular velocity respectively. Then, θ = (1/2)(2)(4²) rad during the acceleration and θ = (8 rad/s)(11 s) during uniform rotation. The total angle in radians is then the sum of the angles for the two intervals.

Since 1 revolution is 2π radians, divide the total angle in radians by 2π to find the total number of revolutions.

Answer:

A. because we change location as Earth orbits the sun

Explanation:

We have to remember that the universe is traveling and expanding and we are all traveling along with it, in this case the stars are expanding and traveling with the universe along with us, but the appearing on a different angle to us on different times of the year is because we orbit the sun, changing the angle at which we see the stars.

The heat content  of the gallon is higher i just answered this on Odysseware and got it correct

Final answer:

The efficiency of the heat engine is calculated as the work output (40 J) divided by the heat input (150 J), resulting in an efficiency of 26.67%.

Explanation:

The efficiency of a heat engine is calculated using the ratio of the work output to the heat input. In this case, the engine does 40 J of work and the heat input is 150 J. The formula to find efficiency (η) is:

η = Work output / Heat input

η = 40 J / 150 J = 0.2667

So, the efficiency is 0.2667, or 26.67% when expressed as a percentage.

It is useful to think of a photon as a packet of Energy.

According to Albert Einstein light is composed of pockets of energy that are called photons. A photon has an electromagnetic field, electromagnetic radiation, electromagnetic force, and lastly, it is massless.

While studying the physics of light they found that light act as a stream of particles and move in waves. it carries energy as well. To define such a particle which shows both characteristics like energy in waves and a bunch of particles they introduce a name photon to describe the light in a proper way.

Light is made of steam of particles that particles are called photons, which is massless which means it travels with light speed in space and vacuum.

Hence photons are packets of energy.

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Explanation:

The velocity of an object is given by the rate of change of position as :

[tex]v=\dfrac{dx}{dt}[/tex]

where

[tex]\dfrac{dx}{dt}[/tex] is the rate of change of velocity

From the position time graph of an object, the velocity of an object can be calculated using the slope of the graph. From the attached figure it is clear that the velocity is given by :

[tex]m=\dfrac{x_2-x_1}{t_2-t_1}[/tex]

[tex]m=\dfrac{20-10}{2-1}[/tex]

m = 10

i.e.

Velocity, v = 10 m/s

Hence, to calculate the velocity of an object the slope of the position vs time graph should be calculated

The rock's displacement is 5 meters.

The rock's displacement can be calculated by taking into account the initial height of the balcony and the maximum height reached by the rock. Since the rock was thrown straight upward, its initial velocity is positive and its final velocity is zero at the maximum height. The displacement is given by the difference between the final and initial positions, so it would be 10 m (the maximum height) minus 5 m (the height of the balcony), resulting in a displacement of 5 meters.

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Answer: Holly can calculate the density of the block for the given information.

Explanation:

For the given options:

Acceleration is defined as the rate of change of velocity with respect to time. S.I. unit of acceleration is [tex]m/s^2[/tex] The equation used to calculate acceleration is:

[tex]a=\frac{v}{t}[/tex]

Density of an object is defined as the ratio of its mass and volume. The chemical equation representing density of an object is:  

[tex]\text{Density of object}=\frac{\text{Mass of object}}{\text{Volume of object}}[/tex]

Force is defined as the push or pull on an object with some mass that causes change in its velocity.

It is also defined as the mass multiplied by the acceleration of the object.

Mathematically,

[tex]F=ma[/tex]

Velocity is defined as the rate of change of position with respect to time. The equation used to calculate velocity is:

[tex]v=\frac{d}{t}[/tex]

Hence, Holly can calculate the density of the block for the given information.

The voltage is zero

Answer:

Explanation:

As per the law of Mass of Action, Rate of forward reaction is equal to the rate of reverse reaction.

In such condition,a system is stable and attains a phase known as dynamic equilibrium.

Consider an equation having some reactants and product to be on a balanced load or sea saw.

If stress is applied, the balance will be distributed and the sea-saw will bend towards the stress factor applied side.

The stress can be applied in different way :

By changing concentration

By changing temperature

By altering pressure or volume

The copper atoms are held together by a metallic bonding. The correct answer would be an option (A).

Among two or more metal atoms, metallic bonding is a form of chemical bonding that results from the attraction of the positively charged metal nuclei and their delocalized valence electrons. However, the contact involved has a distinct nature and is known as metallic bonding in compounds that exclusively include metal atoms.

Metallic bonding, as its name suggests, typically takes place in metals like copper. The copper atoms in a piece of copper metal are arranged in a certain way. These atoms are held together by their valence electrons, which are free to move throughout the metal and are drawn to the positive cores of copper.

Thus, the copper atoms are held together by a metallic bonding.

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The question seems incomplete, the missing options, as follows:

The copper atoms are held together by ____.

A. Metallic bonding

B. Ionic bonding

C. Covalent bonding

Answer: false

Explanation:

Agility is the ability of a body to change position efficiently.

An example is a dancer who moves the body quickly while dancing.

It is also a combination of balance, coordination, speed, reflexes, strength and endurance.

hydroelectric  uses water

Answer: water

Explanation: I got it right on odyssey.

Answer:

what are the choices

Explanation:

Answer:

the light will take 40,000 years to get to earth :))

Explanation:

it was also right on the test gl! :33

The light will take 40,000 years to get to earth.

Light is a form of electromagnetic radiation that makes things visible or enables the human eye to see. It can also be described as radiation that is visible to the human eye. Light contains photons, which are little energy packets. Light never deviates from a straight course.

If a star is located 40,000 light years from Earth,we can you conclude about the light from the star takes 40,000 years to get to earth

The light will take 40,000 years to get to earth.

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A 'right-moving' thunderstorm refers to storms that move to the right of the steering winds, often associated with severe weather patterns including supercells.

When a forecaster looks for "right-moving" thunderstorms when predicting severe weather, they refer to storms that exhibit a dominant motion to the right relative to the steering winds at their altitude, typically in the Northern Hemisphere. This movement can be associated with supercell thunderstorms, which are characterized by a deep, persistently rotating updraft. Due to the Coriolis effect, storms in the Northern Hemisphere are deflected to the right, and this deviation is even more pronounced in severe weather situations where supercell thunderstorms are more likely to produce tornadoes and other severe weather phenomena. Supercells are often right-moving because they tilt with height in such a way that their upper parts move more to the right due to wind shear, resulting in their rightward motion compared to other nearby storms. The severe thunderstorms associated with supercells are particularly hazardous due to their potential to produce high winds, large hail, and tornadoes.

It's important to note that the direction and movement of thunderstorms and related weather fronts have significant implications for weather forecasting. A right-moving storm in the Northern Hemisphere often indicates a storm that is growing in strength and has the potential to be dangerous. Recognizing these patterns helps meteorologists predict severe weather with greater accuracy and provide earlier warnings to the public.

Final answer:

Destiny's house is 1.0 km to the south of the ice cream shop, calculated by multiplying their walking speed (4.0 km/hr) by the time spent walking (0.25 hours).

Explanation:

The position of Destiny's house can be determined by calculating the distance the girls traveled from the ice cream shop. Since they walk south at a pace of 4.0 km/hr for 15 minutes, we first convert the time walked from minutes to hours by dividing 15 minutes by 60, which is 0.25 hours. Multiplying the pace by the time gives us the distance: 4.0 km/hr × 0.25 hr = 1.0 km. Therefore, Destiny's house is 1.0 km to the south of the ice cream shop.