Esme is planning to go on a hot air balloon ride soon. as time passes, the balloon will get higher in the atmosphere, and as the balloon gets higher, the temperature gets cooler. esme has been researching the mathematics behind her balloon ride and found these two functions: esme is wondering if there is a relationship between the time in flight and the temperature. if height depends on time, and temperature depends on height, can a relationship between time and temperature be formed?

The force that the bowl is exerting on a small 1.4 n stone as it slides down is 13.72 n.

To determine the force that the bowl is exerting on the stone as it slides down, you will need to consider the stone's mass, the acceleration of the stone, and Newton's second law of motion.

Newton's second law of motion states that the force acting on an object is equal to the mass of the object times its acceleration. This can be written as:

F = m * a

where F is the force acting on the object, m is the mass of the object, and a is the acceleration of the object.

In this case, the mass of the stone is given as 1.4 n, and the acceleration of the stone is the acceleration due to gravity, which is 9.8 m/s^2.

Plugging in the values, you get:

F = 1.4 n * 9.8 m/s^2

F = 13.72 n

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(a) Angular velocity in Degrees per second = [tex]720^0[/tex] per second

(b) Angular velocity in radians per second = 4[tex]\Pi[/tex] radians per second.

Number of rotations = 10

Total time = 5

So, the value of frequency will be =(Number of rotations)/Total time

That will be = (10/5) = 2

Angular velocity is defined as the speed at which an item rotates or revolves around an axis.

The Greek letter omega (occasionally ω, sometimes Ω) stands for angular velocity.

The SI unit for angular velocity is radians per second because it is expressed as an angle per unit of time.

(a) Angular velocity in Degrees per second

[tex]$=360^{\circ} \mathrm{f}=720^{\circ}$[/tex] degree per second.

(b) Angular velocity in radians per second

[tex]$\omega =2 \pi f=2 \pi(2)=4 \pi$[/tex] radians per second.

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The student should choose accelerometer and force sensor for the determination of the inertial mass of the block.

Inertia can be define as the tendency of an object to resist acceleration or we can say tendency of an object to change its state of motion. Inertial Mass is therefore a measure of an object's inertia.

We can also say that inertial mass measures the tendency to resist change in state of motion. The more mass of an object means, the more it resists acceleration. So, it has more inertia.

An accelerometer is an electronic sensor to measure the acceleration forces on an object. It is used to determine the object’s position in space and also to monitor the object’s movement.

A Force Sensor is a transducer to convert an input mechanical load, weight, tension, compression or pressure into an electrical output signal.

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The acceleration due to gravity on asteroid X is approximately  0.5 meter/secon^2. Hence, option (D) is correct.

The acceleration an object experiences as a result of gravitational force is known as acceleration due to gravity. M/s^2 is its SI unit. Its vector nature—which includes both magnitude and direction—makes it a quantity. The letter g stands for gravitational acceleration.

Given that:  An astronaut weighs 500 Newtons on Earth and 25 newtons on asteroid X.

Hence,  The acceleration due to gravity on asteroid X is :

= acceleration due to gravity on Earth × (25 N/500N)

= 10 meter/secon^2 × (1/20)

= 0.5 meter/secon^2 ( approx.)

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The plot of v²kin versus d, where, v is the velocity of motion and d is the distance travelled, is a graph of a quadratic equation, which is a parabola. The correct option is 1 a.

1 a, Parabola

A quadratic equation is an equation of the form a·x² + b·x + c = 0, which is an algebraic equation with a second degree of x.

The motion of a body in free fall can be described using the following equation;

v² = u² - 2·g·h

d = u·t - 0.5·g·t²

Therefore; v² = 0² - 2·g·d = 2·g·d

v² = 2·g·d

d = v²/(2·g)

Where; g = The acceleration due to gravity ≈ 9.8 m/s²

Therefore; d ≈ v²/(2 × 9.8)

The above equation is a quadratic equation, and the graph of the equation, which is a graph of a quadratic equation is parabolic.

Please find attached the graph of v²/(2×9.81) to d, creates with MS Excel

From the shape of the graph and the function of the graph, the graph is a parabola

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Answer:

1.Opening and shutting a door

2.Squeezing water out of wet clothes

3.Punching a pillow

4.Stomping your foot

5.Pushing a manual mower

6.Ripping a piece of paper

7.Crushing a ball of dough

8.Pulling out an ingrown hair from your leg

9.Pulling a light chain

10.Smacking a horses butt to signal it to "GIDDIE UP!"

Explanation:

According to the Newtons third law of motion, the collision between the bumper car and the rider will affect both of them as both the systems have mass and are moving with certain velocities.

Collision is a case where one moving object or person violently collides with another.

The law of interaction or the Newton's third law of motion, says that if one body exerts a force on a second body, the second body exerts a force equal in magnitude and opposite in direction on the first body.

As we know momentum is P = m*v i.e. momentum (P) is directly proportional to the mass and velocity.

Heavier bodies have more mass, therefore have more momentum.

here, the bumper car is the heavy system and hence, it will exerts more impact on the rider.

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Carbon dioxide is the planet's most important greenhouse gas because it both absorbs and radiates heat.

The main cause of global warming is CO2, which is created by human activity.Its atmospheric concentration increased by 48% by 2020 compared to pre-industrial levels (before 1750).Human activities can produce smaller amounts of other greenhouse gases.

A greenhouse gas is carbon dioxide (CO2).As a result, the interior becomes warmer and the effect is similar to that of a greenhouse's glass.This impact is crucial since without the Carbon dioxide that really is present in the atmosphere naturally, Earth may be too chilly for life to exist on it.

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Answer:

Option C as it stops flies from sitting on the food

Answer:

Your answer is (c) the force associated with molecular motion

Explanation:

Hope this helps :D

Sliding friction is the resistance that any two items produce as they slide against one another. Kinetic friction is another name for this friction.

The external force is the frictional motion. When the external factor is larger than the pressure of kinetic friction, acceleration happens. When the amount of kinetic friction exceeds the force of the external force, slowing (or stopping) takes place.

When an object slides across a surface, sliding friction is regarded as a resistance to that object's motion. Think of a box that is on the ground. This surface is in close proximity to the floor's surface.

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The maximum speed of the glider v = 4.75 m/s. the amplitude of the motion 2.12 cm. the angular frequency of the oscillations is approximately 2.86 rad/s.

To find the amplitude of the motion, we can use the equation for the potential energy of a spring:

Potential Energy = (1/2) * k * x^2

where k is the force constant of the spring, x is the displacement of the glider from its equilibrium point, and Potential Energy is the potential energy of the spring.

In this case, the force constant of the spring is 155 n/m, the displacement of the glider from its equilibrium point is 3.00 cm, and the potential energy of the spring is unknown. Plugging these values into the equation above, we get:

Potential Energy = (1/2) * 155 n/m * (3.00 cm)^2

This simplifies to:

Potential Energy = (1/2) * 155 n/m * 9.00 cm^2

This further simplifies to:

Potential Energy = 693.5 n cm

The potential energy of the spring is equal to the kinetic energy of the glider, so we can use the equation for kinetic energy to solve for the maximum speed of the glider:

Kinetic Energy = (1/2) * m * v^2

where m is the mass of the glider and v is its speed.

In this case, the mass of the glider is 175 g, and its speed is unknown. Plugging these values into the equation above, we get:

(1/2) * 175 g * v^2 = 693.5 n cm

This simplifies to:

v^2 = 693.5 n cm / (1/2) * 175 g

This further simplifies to:

v^2 = 3960.7 g cm / 175 g

This simplifies to:

v^2 = 22.60 g cm

To find the maximum speed of the glider, we can take the square root of both sides of the equation:

v = √(22.60 g cm)

This simplifies to:

v = 4.75 m/s

To find the angular frequency of the oscillations, we can use the equation:

ω = √(k/m)

where ω is the angular frequency, k is the force constant of the spring, and m is the mass of the glider.

In this case, the force constant of the spring is 155 n/m, and the mass of the glider is 175 g. Plugging these values into the equation above, we get:

ω = √(155 n/m / 175 g)

This simplifies to:

ω = 2.86 rad/s

we can use the equation for kinetic energy to find the amplitude of the motion:

Kinetic Energy = (1/2) * m * v^2

where m is the mass of the glider and v is its maximum speed.

In this case, the mass of the glider is 175 g, and its maximum speed is 4.75 m/s. Plugging these values into the equation above, we get:

(1/2) * 175 g * (4.75 m/s)^2 = 693.5 n cm

This simplifies to:

(1/2) * 175 g * 22.60 g cm = 693.5 n cm

To find the amplitude of the motion, we can solve for x:

x^2 = 693.5 n cm / (1/2) * 155 n/m

This simplifies to:

x^2 = 4.5 cm^2

To find the amplitude of the motion, we can take the square root of both sides of the equation:

x = √(4.5 cm^2)

This simplifies to:

x = 2.12 cm

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The acceleration of the car can be obtained as  0.26 m/s^2. The force required to ove it a distance of 30 m is 11760 N.

We know that the acceleration is the change in the velocity of the object with time. Now we know from the Newton law that the force is the product of the mass of the object and the acceleration.

Now we have that;

weight = mass * acceleration due to gravity

mass = weight/ acceleration due to gravity

mass = 12,000 N / 10 m/s^2

= 1200 Kg

The we know that;

Force = mass * acceleration

acceleration = Force/mass

=  310 N/1200 Kg

= 0.26 m/s^2

For the force that that is needed to move the car a distance of 30 m we have;

F = ma

= 1200 Kg * 9.8 m/s^2

= 11760 N

This is the force that ca move the object forward.

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Gravity can best be described as A: "the tendency of masses to move towards each other".

Gravity is the force through which a planet or any other body draws objects toward its center. Gravity keeps all planets in an orbit around the sun. It means that gravity is a force of attraction between objects or bodies that occurs because of their mass. Gravity becomes stronger as mass is increased, and it becomes weaker as the distance between the objects is increased.

Thus, gravity is best defined as the tendency of masses of objects that keeps them moving toward each other.

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Answer:

The source emits sound at 800 / sec -        f = 800 / s

The auto moves at 35 / 800 sec (the apparent wavelength is shortened)

f' = f + f vo / v       where vo is the speed of the observer

f' = f (v + vo) / v        rewriting the above equation

f' = 800 / sec (331 + 35) / 331       using 331 m/s as the speed of sound

f' = 885 / sec          sound heard      

There are several conditions that can result in deviations from Beer's Law when the pathlength is constant. This can cause the Beer's Law plot to become non-linear.

When the solute concentrations exceed 0.01 m. This can cause the Beer's Law plot to become flat or even inverted. The use of polychromatic radiation can also cause deviations from Beer's Law. This is because different wavelengths of light will be absorbed to different degrees by the sample.

When the pathlength is constant, the conditions that can result in deviations from Beer's law are:

1) All radiation not absorbed by the sample is transmitted to the detector.

2) The absorbing species undergoes dissociation or association.

3) The sample is homogeneous.

4) Solute concentrations exceeding 0.01 M.

5) The use of polychromatic radiation.

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(1) The initial velocity in the y-direction is 9.64 m/s.

(2) The final velocity in the x-direction is 11.5 m/s.

(3)  The range, xb, of the ball is 22.6 m.

(4) The maximum height reached by the ball is 4.74 m.

The initial vertical component of the velocity is calculated using the following kinematic equation.

Vy = V sinθ

where;

Vy = V sinθ

Vy = ( 15 m/s ) x ( sin 40 )

Vy = 9.64 m/s

The final velocity in the x-direction is calculated as follows;

Vₓf = Vxi = V cosθ

where;

Vₓf  = ( 15 m/s ) x ( cos 40 )

Vₓf  = 11.5 m/s

The range of the ball is calculated as follows;

R = v² sin (2θ) / g

R = ( 15² sin (2 x 40) ) / 9.8

R = 22.6 m

The maximum height reached by the ball is calculated as;

H = v² sin²θ / 2g

H = ( 15² x ( sin 40 )² ) / (2 x 9.8)

H = 4.74 m

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If the net force on an object is zero, it will slide down an inclined plane at a constant velocity. This knowledge can be used to calculate the coefficient of kinetic friction between two objects.

The kinetic friction on a slope is denoted as f k = k m g cos. The change in velocity (v) over the change in time (t) is expressed by the equation a = v/t. This enables you to calculate how quickly velocity varies in meters per second squared (m/s2). The coefficient of friction (fr) is a quantity that represents the ratio of the frictional resistive force (Fr) divided by the normal or perpendicular force (N) pushing the objects together.

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The frequency and wavelength are indirectly proportional to each other. More is the wavelength, lesser is the frequency and vice-versa.

What is a wavelength?

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The number of ejected electrons in a photoelectric effect experiment can be calculated using the following formula:

What are electrons?

An electron is a subatomic particle that has a negative electric charge. It is one of the fundamental building blocks of matter, along with the proton and neutron. Electrons are found in the outermost region of an atom, called the electron cloud or electron shell.

number of ejected electrons = intensity of light * time of exposure

where intensity of light is the intensity of the light beam (usually measured in watts per square meter), and time of exposure is the length of time that the light beam is shone on the metal surface.

Alternatively, the number of ejected electrons can be calculated using the following formula:

number of ejected electrons = current * time of exposure

where current is the current flowing through the circuit (usually measured in amperes), and time of exposure is the length of time that the light beam is shone on the metal surface.

Therefore, the number of ejected electrons is proportional to the intensity of the light beam and the length of time that it is shone on the metal surface.

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The magnitude of the acceleration of the ball  applied at the bottom of the circle is expressed as FTension-FGravity/M.

You can write it down as FC = mv2 /r.

The centripetal force in a moving object attached to a string is equal to the product of the object's mass (mg) and the string tension (T).

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The picture and the pre-image are consistent ONLY when the scale factor is 1.

A sort of transformation known as a dilatation enlarges or shrinks a figure (referred to as the preimage) to produce a new figure (called the image). How much larger or smaller the dilation image will be in comparison to the preimage depends on the scale factor, r.

The scale factor and the center of dilation are used to determine the dilation transformation. The image stretches if the scaling factor is greater than 1.

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Answer:

Explanation:

To find the speed at which a 0.25 kg baseball must travel in order to have kinetic energy equal to 209.3 J, you will need to use the formula for kinetic energy, which is:

KE = 1/2 * m * v^2

Where KE is the kinetic energy, m is the mass of the object, and v is the speed of the object.

To solve for v, you will need to rearrange the equation to solve for v:

v = sqrt(2 * KE / m)

Plugging in the values given in the problem, we get:

v = sqrt(2 * 209.3 J / 0.25 kg)

Solving this equation gives us a speed of approximately 29.3 meters per second. This is the speed at which the 0.25 kg baseball must travel in order to have kinetic energy equal to 209.3 J.

I hope this helps!

The expression for gravitational force was represented by the equation F, G, m1, m2, and r2.

The product of such gravitational constant as well as the masses of something like the two objects, multiplied with the square root of their distance, would be the expression for the gravitational force separating two objects.

The formula is given as:

force = (product of g, m (mass) ) / square of the d between both the objects.(r)

F = (G(gravitational force) × M × m) / r²

where,

Force = F

Gravitational Constant = G

Mass of one object = M

Mass of another object = m

Distance = r

Gravitational force seems to be the force used by the planet to pull an item toward it. Issacs Newton made the discovery after seeing an apple drop from of a tree.

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Answer:

To solve this problem, we need to use the equations of motion for an object undergoing uniformly accelerated motion. Specifically, we can use the equation for the displacement of an object in the vertical direction:

y = y0 + v0t + 1/2at^2

where y is the displacement of the object, y0 is the initial displacement (in this case, the height of the wall), v0 is the initial velocity (in this case, 10 m/s), t is the time elapsed, and a is the acceleration (in this case, the acceleration due to gravity, which is approximately 9.81 m/s^2).

To find the distance travelled in the last second of motion, we need to find the displacement of the object at t = 1 s, and subtract the displacement at t = 0 s (which is the initial displacement). Substituting these values into the equation above and solving, we get:

y1 = 2.2m + 10m/s * 1s + 1/2 * 9.81m/s^2 * 1s^2 = 12.61 m

y0 = 2.2m

The distance travelled in the last second of motion is therefore y1 - y0 = 12.61 m - 2.2 m = 10.41 m.

Explanation:

The cross-sections of metal beams in the shape of the letter I instead of solid rectangles because I beam is used horizontally, the stress is more at the top and in the bottom, and the middle is a stress free region.

Any cross section of the beam experiences bending and shearing stresses as a result of forces and couplings operating on it.

In an I beam, high weights can be carried while weighing less than in a rectangular beam.

The cross sections of metal beams are in the shape of letter I instead of solid rectangles to reduce the weight of the beam while preserving the resistance to bending.

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it stop flies from sitting on the food

Answer:

0

Explanation:

Displacement is the distance between the start and end point of your travel. If you start in your seat, and end up in your seat, your displacement is 0.