A truck driver has a shipment of apples to deliver to a destination 500 miles away. The trip usually takes him 9.0 hours. Today he finds himself daydreaming and realizes 110 miles into his trip that that he is running 20 minutes later than his usual pace at this point.
At what speed must he drive for the remainder of the trip to complete the trip in the usual amount of time?

Using the equations of kinematics, we obtain the following results;

The maximum height is the height that was attained by the projectile. In this case, we have the fact that the projectile was fired vertically upwards with a speed of 34.0m/s. On the descent, the cannonball lands on top of a 30.0m tall building.

1) The maximum height could be obtained from;

v^2 = u^2 -2gh

v = final velocity ( 0 m/s at the maximum height)

u = initial velocity = 34.0m/s

g = acceleration due to gravity = 9.8 m/s^2

h = maximum height attained

Since v = 0 m/s

u^2 = 2gh

h = u^2/2g

h = (34)^2/ 2 * 9.8

h = 1156/19.6

h = 59 m

2) Given that the distance covered from the maximum height to the top of the building = 59 m - 30 m = 29 m

v^2 = u^2 + 2gh

In this case, the initial velocity is zero because the cannonballs dropped from a height

v^2 = 2gh

v = √2gh

v = √2 * 9.8 * 29

v = 24 m/s

Given that;

v = u - gt

v = 0 m/s when the cannon ball is projected upwards;

u = gt

t = u/g

t = 34.0m/s/9.8 m/s^2

t = 3.5 secs

The total time spent in air = 2(3.5 secs) = 7 secs

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The period of the violin string oscillation is 2.25 x 10 3 s.

Let T be the period.

The beat frequency is then equal to 1/T440Hz=4.00 beats/s.

T thus equals 2.25 x 10 3 s.

The "too tightly stretched" string has more tension, which causes it to have a higher (fundamental) frequency.

The process of any quantity or measure fluctuating repeatedly about its equilibrium value in time is known as oscillation. A periodic change in a substance's value between two values or around its central value is another way to define oscillation.

The time it takes the particle to complete one oscillation is known as the period (T) of the oscillation. The particle travels in the same direction and via the same point after time T.

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Answer:

Servant leaders use persuasion – rather than their authority – to encourage people to take action. They also aim to build consensus in groups , so that everyone supports decisions. There are many tools and models that you can use to be more persuasive, without damaging relationships or taking advantage of others.

Explanation:

It will take 29.58s of time to for the car to catch up with the truck again.

The distance an object travels in a certain length of time is measured as velocity. The link between separation, speed, and time is expressed by the following word equation: Distance traveled divided by journey time equals velocity.

As we know,

distance = velocity × time

Given,

acceleration = 1.99 m/s2

constant velocity = 29.44 m/s

d = v₀ × t + 1/2 × a × t²

for v₀ = 0,

v × t = 1/2 × a × t²

⇒ t = 2v / a

⇒  t = 2 × 29.44 / 1.99

⇒ t =  29.58s

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Answer:

he wavelengths separate into the colors of the rainbow because each color is a different wavelength. Violet has the shortest wavelength, at around 380 nanometers, and red has the longest wavelength,

hop this helps

We see different wavelengths of light as different colors because they are associated to different wavelength, which activates different cells in the retina.

Answer:

Explanation:

.

Option B, the fact that the rubber band is made up of elastic material ensures that it possesses mechanical energy as mechanical energy is stored in the form of kinetic and potential energy.

Mechanical energy is one form of energy in which the total energy is conserved in the form of kinetic and potential energy. In mechanical energy kinetic energy changes into potential energy and vice-versa.

Elastic materials are types of materials that get back to their original shape after getting stretched by an external force. For example, rubber is an elastic material because it is stretched when force is applied to it but returns to its original shape once the forces are removed.

Now in the given question we have been asked why rubber band has mechanical energy.

The first option states because of mass but since  the meaning of mass does not insure that it is only mechanical energy it could also be electrostatic energy or any other form of energy.

Option B talks about the elastic nature of rubber band which is a correct answer to the question.

Elastic nature of the rubber band ensures that the total energy remains conserved in the form of mechanical energy.

In rubber band when it is stretched in the stressed position it stores energy in the form of potential energy.

While it is released from stretched position the energy gets converted into kinetic energy therefore conserving the total mechanical energy.

Therefore option B which states that the mechanical energy of the rubber band exist because of elastic nature of the material of the rubber band is the correct option.

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Answer: TRUE

Explanation:

The transverse damper could also be used as a diagnostic tool by . A novel energy dissipation system that can achieve the amplified damping ratio.

An influence that reduces or prevents oscillation in an oscillatory system is known as damping. Processes that disperse the energy contained in the oscillation in physical systems lead to damping. Examples include viscous drag in mechanical systems, resistance in electrical oscillators, and absorption and scattering of light in optical oscillators. Viscosity of a liquid can impede an oscillatory system, causing it to slow down.

Other oscillating systems, like those found in biological systems and bicycles (for example, the suspension (mechanics) system), can benefit from damping that is not reliant on energy loss. Contrasted with friction, a dissipative force operating on a system, friction is not to be confused with. Dampening can be brought on by friction or contribute to it.

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If 500J of energy was added to one each sample of Aluminum, Brass, Copper, and Platinum, Aluminum will experience the least temperature increase.

This can be explained with the concept of Specific heat. Specific heat may be defined as the heat required to raise the temperature of a unit mass of a substance by 1°C.

Now the relation between Heat and temperature change can be given by:

Q=mSΔT; where m is the mass of the given substance, S is the specific heat capacity and ΔT is the temperature change.

Since the mass of all the samples is the same and the same amount of energy is added to them then the temperature change is inversely proportional to Specific heat capacity.

ΔT∝1/S

Out of all the samples' given Aluminum has the highest Specific heat.

Thus, the temperature change is least for aluminum.

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Complete Question:

If 500j of energy were added to 1kg of each of these samples of Aluminum, Brass, Copper and Platinum then which would experience the least temperature increase?

The time required to take off is 26.84 s

SOLVING THE EQUATION :

First of all, we can find the velocity at which the plane takes off, using the equation :

                    v ²-- u² = 2ad

where

v is the take-off velocity

u = 0 is the initial velocity

a is the acceleration

d = 1800 m is the distance covered

Solving for v,

                            v = √2ad

                               = √2(5)(1800)

                              =  134.3 m/s

The time needed to reach this velocity can be found by using

                                          v = u+at

And solving for t,

  [tex]t = \frac{v-u}{a} \\\\ = \frac{134.2-0}{5}[/tex]

  = 26.84 s

Time needed to take off is = 26.84 s

An interesting scenario when describing the kinematic of a body (or system of bodies) is its motion under constant acceleration. Quantitative calculations for this type of motion require the use of kinematic equations, which relate the quantities that describe the motion of the body. the acceptable kinematic equation to be used depends on whatever motion quantities are given in the problem

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The average speed of the plane is 1128m/s.

The entire distance covered by the object in a specific amount of time is its average speed.  Average speed exists as a scalar quantity. The magnitude serves as its representation, and it lacks direction.

Given:

Distance one way = 584km

Speed from its base = 940m/s

Speed back to base = 1410m/s

To find:

Average speed, Avg = ?

Formula:

Avg = total distance / total time

Calculations:

Total distance = 584 + 584 = 1168km = 1168000m

Total time = (584000/940) + (584000/1410)

Avg = 1168000 / [(584000/940) + (584000/1410)]

Avg = (2 x 940 x 1410) / (1410 + 940)

Avg = 2650800 / 2350

Avg = 1128m/s

Result:

The average speed of the plane is found to be 1128m/s.

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two or more atoms loss or gain electrons to form an ion

Explanation:

up above

Through a 484-w room heater that operates on 110 v ac power, the peak current would be 6.22A

The maximum amount of current that an output is capable of sourcing for brief periods of time is known as the peak current.

When an electrical device or power supply is turned on for the first time, a large initial current known as the peak current flows into the load, starting at zero and increasing until it reaches a peak value.

Peak current is the highest current present at any particular moment. On the other side, RMS currents are the average currents.

Io =?

Power = Vrms x Irms = 484

⇒ 484 = 110v x Io/ [tex]\sqrt{2}[/tex]

Io = (484 x [tex]\sqrt{2}[/tex]) / 110

Io = 6.22A

Thus, the peak current is 6.22A

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An example where an object on Earth follows Newton's first law is a ball rolling on the ground.

Newton's first law of motion states that if a body is at rest or moving at a constant speed in a straight line, it will remain at rest or keep moving in a straight line at constant speed unless it is acted upon by a force.

Examples of Newton's first law of motion;

Thus, an example where an object on Earth follows Newton's first law is a ball rolling on the ground.

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The local atmospheric pressure can be determined from the total pressure at the initial state:

What is mass?

Mass is a physical body's total amount of matter. Inertia, or the body's resistance to acceleration when a net force is applied, is also measured by this term. The strength of an object's gravitational pull to other bodies is also influenced by its mass. The kilogram serves as the SI's fundamental mass unit.

Therefore,

a vertical piston-cylinder device contains a gas pressure of 150 kpa. the piston has a mass of 12 kg and a diameter of 15 cm. pressure of the gas is to be increased by placing some weights on the piston

The local atmospheric pressure can be determined from the total pressure at the initial state:

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The density of the green cube is higher than the density of the gray cube.

Density can be defined as a ratio of mass to the volume of a physical object such as a metal, gray cube, or tennis ball. Mathematically, the density of a gray cube can be calculated by using this formula:

Density = M/V

Where:

By critically observing the image (see attachment) of these cubes on the scale, we can reasonably and logically deduce that the green cube has a larger mass than the gray cube on the scale, which ultimately implies that its density (mass/volume) ratio is higher.

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Complete Question:

The gray cube has a density of 4.5 g/cm³. Is the density of the green cube the same, lower than, or higher than that of the gray cube? (2.7)

The measure of a force is known as the magnitude of the force. When two or more forces act on a body, the total sum of the forces acting on it is known as the magnitude of the resultant force.

In simpler terms, the sum of the total force is the resultant force.

The magnitude of the resulting forces can be calculated by

[tex]R = \frac{Couple}{Position}[/tex] where R is the resultant force.

Forces at

(a)  A and B

AB = 0.45m

R * (0.45m) = 12 N-m

R = [tex]\frac{12}{0.45}[/tex]

R = 26.66 N

(b)  B and C

BC = 0.24m

R * (0.24m) = 12 N-m

R = [tex]\frac{12}{0.24}[/tex]

R = 50 N

(c) A and C

AC = [tex]\sqrt{AB^{2} +BC^{2} }[/tex]

AC = [tex]\sqrt{(0.45)^{2} + (0.24)^{2} }[/tex]

AC = 0.51m

R * (0.51m) = 12 N-m

R = [tex]\frac{12}{0.51}[/tex]

R = 23.9 N

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The reason why the given statement is incorrect is because representing data is an important part of scientific investigations.

A scientific investigation is a method of finding an answer to a question which  no one has ever asked before. It is done using various research methods. For this lot of observations are done and then experiments are conducted.

Since a lot of observations and experiments are done, a lot of data is created. Usually more than one experiment is done, because the first one is most likely to be unsuccessful. But that does not mean that it is a waste. Because the mistakes from the first experiment is corrected / altered in the upcoming ones. Since a lot of experiments are done, keeping data of each experiment to alter data in further experiments is an important part of a scientific investigation.

Therefore, the given statement "Representing data is not an important part of scientific investigations" is incorrect.

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The block of material with a density of 1020 kg/m³ when placed into pure water will sink.

The Density of an object is the ratio of the mass and volume of the object.

The density of an object measure how compact the particles of an object are.

Dense objects have particles that are tightly packed together whereas less dense objects have particles that are less tightly packed together.

A denser solid will sink in a less dense liquid.

A less dense solid will float in a denser liquid,

Comparing the densities of the solid object and the density of water.

The block of material has a greater density than water. Hence, the block of material will sink in water.

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Here in this question, the formula used is of The Simple Harmonic Motion.

Simple harmonic motion is the motion of a particle traveling in a straight line with an acceleration that is always directed toward the single point directly and whose value is related to the distance from the fixed point. Simple harmonic motion is a type of periodic motion. While basic harmonic motion is an oversimplification, it is nevertheless an excellent approximation. Simple harmonic motion is useful in research because it may be used to describe oscillations in wind generators and vibrations in automotive suspensions. A form of oscillating motion is simple harmonic motion. It is used to simulate numerous real-world scenarios in which a mass vibrates about an equilibrium position. A mass on the spring is one example of such a circumstance.

T = 2π√(m/k)

T²/4π² = m/k

m = k (T²/4π²)

Hence m is isolated from the question and is written as m = k (T²/4π²).

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A control is the standard by which test variables can be compared.

An experiment is a test under controlled conditions made to either demonstrate a known truth, examine the validity of a hypothesis, or determine the efficacy of something previously untried.

In an experiment, controlling an experiment means designing an experiment so that the effects of one or more variables are reduced or eliminated.

A control is a separate group or subject in an experiment against which the results are compared.

Therefore, it can be said that a control is the standard by which test variables can be compared.

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Short races trait  is the BEST describes Haru's personality . and to run a marathon, you have to run 26.2 miles by foot , it is not easy.

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The coefficient of kinetic friction between the box and the floor is 0.11.

Coefficient of friction is a measure of the amount of friction existing between two surfaces.

The coefficient of kinetic friction between the box and the floor is calculated as follows;

F - Ff = ma

where;

F - μmg = ma

at a constant velocity, acceleration, a = 0

F - μmg = 0

F = μmg

μ = F/mg

μ = (52) / (50 x 9.8)

μ = 0.11

Thus, the coefficient of kinetic friction between the box and the floor is 0.11.

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The horizontal component of this initial velocity is 26.8 sec

Vy = V sin theta = 147 * sin 63 = 131 m/s

Time to reach zero vertical speed   tu= 131 m/s / 9.8 m/s^2 = 13.4 sec

Time for the ball to fall to the original speed

td = 131 m/s  9.8 m/s^2 = 13.4 sec

Total time in air = tu + td = 13.4 s + 13.4 s = 26.8 s

Or 2 * sin 63 * 147 / 9.8 = 26.7 sec

The pace at which an object travels a distance is known as speed, and it is a scalar quantity. The distance (a scalar quantity) per time ratio is the average speed. Speed disregards direction.  The instantaneous speed is the upper limit of the average speed as the duration of the time interval approaches zero. The average speed of an item in a period of time is the distance traveled by the object divided by the duration of the period. The meter per second (m/s), the SI unit of speed

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Electrons, like all other matter, exhibit the dual behavior of both particles and waves. Since electrons travel like waves, their energy is restricted to a certain energy level, each of which is associated with a specific wavelength.

Wave-particle duality is the idea that matter and energy have characteristics that are typical of both waves and particles. Depending on the circumstances, the matter may be seen as a wave or a particle.

Objects with huge masses, like baseball, have such small wavelengths that they are best regarded as particles. On the other hand,  objects with small masses, like photons, have huge wavelengths and are best regarded as waves. However, objects with intermediate masses, like electrons, have characteristics of both particles and waves.

As a result, in 1924 de Broglie hypothesized that a particle like an electron may be characterized by a wave. Since electrons are waves, their energy is limited to specific energy levels, each of which corresponds to a given wavelength which is given by

[tex]\lambda =\dfrac{h}{mv}[/tex]

Where h ⇒Planck’s constant,

m  ⇒ mass of the particle

v  ⇒ velocity of the particle

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Fill in the blank:

Electrons, like all other matter, exhibit the dual behavior of both         and                     Since electrons travel like waves, their energy is restricted to a certain energy        , each of which is associated with a specific wavelength.

The observation is due to heat transfer from the stearic acid to the water, and as a result, the temperature of the stearic acid falls, and it solidifies whereas the temperature of the water rises.

Heat transfer is the process by which heat energy moves from one body or object to another.

Heat is transferred from a hotter to a colder object.

There are three major processes of heat transfer, they are:

Conduction is a for of heat transfer which occurs without actual movement of the molecules, but as result of the vibration of the particles thereby transferring energy from one molecule or particle to the next.

Considering the observation above:

A boiling tube containing liquid stearic acid which has a melting point of 69°C is placed into an insulated cup of water as the stearic acid solidifies the temperature of the water rises.

The given observation is because heat has been transferred from the stearic acid to water. Thus, the temperature of the stearic acid falls, and it solidifies whereas the temperature of the water rises.

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Answer:

i guess if the a glass gets to cold it will bust

Explanation: