in the soapbox derby, young participants build non-motorized cars with very low-friction wheels. Cars race by rolling down a hill. Assume that the track begins with a 63-ft-long (1m = 3.28 ft) section tilted 12 degrees below horizontal. What is the maximum possible acceleration of a car moving down this stretch of track?

Answers

Answer 1

The maximum possible acceleration of a car moving down this stretch of track is 2.083 m/s².

What is maximum acceleration?

The maximum acceleration of an object is the maximum change in the velocity of the object with time.

The maximum possible acceleration of a car moving down this stretch of track is calculated as follows;

tanθ = a/g

where;

θ is the angle of inclination of the tracka is the maximum acceleration of the car g is acceleration due to gravity

a = g tanθ

a = (9.8 m/s²) tan(12)

a = 2.083 m/s²

Thus, the maximum possible acceleration of a car moving down this stretch of track is 2.083 m/s².

Learn more about maximum acceleration here: https://brainly.com/question/20595261

#SPJ1


Related Questions

Use the relationship shown in
Figure 18 to predict the travel time when
speed is 110 km/h.

Answers

The time taken to travel when the speed is 110 km / h is 2.7 hours to cover a distance of 300 km.

We know that,

v = d / t

where,

v = Velocity

d = Distance

t = Time

From the given graph,

At t = 6 hrs, the time taken is 50 km / h

d = 6 * 50

d = 300 km

So this graph represents the time it takes to cover 300 km at different speeds.

At v = 110 km / h

t = 300 / 110

t = 2.7 hrs

The given graph is an example of inverse relationship. An inverse relationship is a hyperbolic relationship in which one variable is the inverse of other variable.

Therefore, the time taken is 2.7 hrs.

To know more about inverse relationship

https://brainly.com/question/4147411

#SPJ1

What are the four kinematic equations and what do the symbols of the equations mean?
and
How are the kinematic equations used to solve problems?


Answers

Four kinematic equations and what the symbols of the equations mean are as follows

v = v0 + a x t

Δ x = ( v + v0^2 ) t.

Δ x = v0 t + 1/2 a t^2.

v^2 = v0^2 + 2 a Δ x.

Here, v refers to final velocity, v0 is the initial velocity, x is the distance, t is the time and a is the acceleration

We may use a straightforward equation to calculate the average velocity of an object because kinematics equations are utilised when the object's acceleration is constant. Adding the beginning velocity to the final velocity and dividing by two yields the average velocity.

What do you mean by kinematics ?

Kinematics equations describe how input movement at one or more joints determines the configuration of a mechanical system, such as a robot manipulator, in order to reach a task position or end-effector location.

Learn more about Kinematics here:

https://brainly.com/question/24486060

#SPJ9

Describe the feature of Protea flowers that suit its pollinator, the bush mouse.

Answers

The feature of Protea flowers that suits its pollinator, the bush mouse include the following:

Bowl shaped heads borne on short stout peduncles.Sugar-rich nectar.

What is Pollination?

This is defined as the process in which pollen grain is transferred from the anther to the stigma of a plant and are aided through agents such as wind, animals etc.

Protea flower is a plant which is pollinated by small mammals such as bush mouse which is as a result of them searching for food in the form of the nectar and the short stout peduncles makes thew plant accessible to these animals.

Read more about Pollination here https://brainly.com/question/3431390

#SPJ1

If the same rock is placed in four different locations, in
which location will the rock have the most potential
energy?
Select one:
O In a sandbox.
O On the street.
O On the sidewalk.
O In a tree.

Answers

In a tree if the same rock is placed in four different locations, the rock will have the most potential energy.

What means potential energy?

Potential energy is a form of energy stored that is dependent on the relationship between different system components. When a spring is compressed or stretched, its potential energy increases.

If a steel ball is raised just above ground as opposed to falling to the ground, it has more potential energy. An object has potential energy as a result of its position in relation to other objects. Potential energy is so named because it has the ability to transform into other types of energy, like kinetic energy.

Where is potential energy?

Potential energy is the energy that is held within a material or an object. Energy in an object held vertically is known as gravitational potential energy. Potential energy that can be stretched or compressed is known as elastic potential energy.

To know more about gravitational force :

https://brainly.com/question/3009841

#SPJ9

A 1250kg car is stopped at a traffic light. A 3550kg truck moving at 8.33 m/s hits the car from behind. If the bumpers lock, how fast will the two vehicles move?

Answers

The final speed of the cars after the collision is determined as 6.16 m/s.

Final speed of the cars after collision

The final speed of the cars after the collision is calculated from the principle of conservation of linear momentum as shown bellow.

m1v1 + m2v2 = v(m1 + m2)

where;

v1 is the initial velocity of the 1250 kg carv2 is the initial velocity of the 3550 kg car
m1 is mass of 1250 kg carm2 is mass of 3550 kg carv is the final velocity of the two cars after collision

Substitute the given parameters and solve for "v".

1250(0) + 3550(8.33) = v(1250 + 3550)

29,571.5 = 4800v

v = 29571.5/4800

v = 6.16 m/s

Thus, the final speed of the cars after the collision is determined as 6.16 m/s.

Learn more about final speed here: https://brainly.com/question/25905661

#SPJ1

If you were looking through a window and the light is on in the room and it's light out what would happen

Answers

Answer:

 If the inside light is not too bright, a person on the outside could not see inside because the light reflected from the outside is too bright.

Explanation:

some of the light bounces (or reflects) off the glass. The rest of the light keeps going through the glass object, but the light is bent (or refracted) as it moves from the air to the glass

we distinguish two categories of forces: __________ forces are those in which matter

Answers

*Contact* forces are those in which matter

What does the internal ordering of solid substances depend on?

Answers

Answer:

solid < liquid < gas

Explanation:

study island

Explanation:

hope it helps

What is attachment?

a
bond between one person and another

b
physical closeness

c
regulation of emotions

d
seeing the world only through one's own eyes

Answers

Answer:

It depends I think it could be both a Bond between one person and another. And physical closeness

Explanation:

I would go with a though

Answer:

a, bond between one person and another

Explanation:

took the quiz

a) What looks like 21 individual rings around the girls neck is actually 21 turns of a coil of brass. Each turn has a circumference of 40cm. Calculate (in cm) the total length of brass used to make the girl's neck ring.​

Answers

Answer:4

Explanation:

what are the two main areas of pyisical scienece

Answers

Answer:

The two main areas of physical science are chemistry and physics. Chemistry is the study of the composition, structure, proper- ties, and reactions of matter. Physics is the study of matter and energy and the interactions between the two through forces and motion.

Explanation:

According to the perpetual load theory and fMRI research, which of the following happens during distracted driving?
Multiple Choice
O
O
decrease in activity in a small part of the brainstem (pontine tegmentum)
decrease in activity in the reticular activating system of the brain stem
decrease in activity in areas of the brain involved in processing spatial information
decrease in activity in areas of the brain involved in language processing

Answers

During distracted driving there is a decrease in activity in areas of the brain involved in processing spatial information.

What is MRI?

The MRI is the kind of studies that could be used to obtain the activity of the brain. The term MRI stands for magnetic resonance imaging. It is the type of study that shows what parts of the brain are at work when certain activities are going on.

Now, when a person is driving, the person makes use of the parts of the brain that are in charge of spatial information. Hence, during distracted driving there is a decrease in activity in areas of the brain involved in processing spatial information.

Learn more about MRI:https://brainly.com/question/28459906

#SPJ1

What is the tension on P if the weight is 200 N?

Answers

Since the tension on the rope will be equal to the magnitude of the weight, the tension on P if the weight is 200 N will be equal to 200 N

What is Weight ?

Weight is the gravitational pull on a body. It is a force. And it is measured in Newton.

If a load of 200 N is hung on a rope attached to a ceiling, is the tension on the rope P if the weight is 200 N will be equal to the magnitude of the weight.

Therefore, the tension on P if the weight is 200 N will be equal to 200 N

Learn more about Tension here: https://brainly.com/question/24994188

#SPJ1

A series circuit has two resistors A and B. The total resistance is 27 ohms. A
has a resistance of 15 ohms. Calculate the resistance of B.

Answers

All of the parts of a series circuit are wired together end to end to create a single path for current flow. In a parallel circuit, one component is linked across the other by the same voltage at exactly two electrically common nodes.

A series circuit has two resistors A and B. The total resistance is 27 ohms. A has a resistance of 15 ohms. Calculate the resistance of B.

"12Ω"

In a series circuit the current is constant throughout the circuit and the resistance is the sum of all the resistances in it.

         R_eq = ∑ Ri

in this case we have

         R_eq = R₁1 + 3 R₂

where R₁ is the resistance of A and R₂ the resistance of B.

let's calculate

          27 = 15 + R2

          R2 = 12Ω

To know more about series circuit, click on the link below:

https://brainly.com/question/20511953

#SPJ9

In order to promote tolerance and peace, what ideology did the U.S. try to strengthen in the world?
A. Military power
B. Capitalism
C. Communism
D. Democracy

Answers

Answer:

c

Explanation:

How fast did Israel Merkle run when he covered 26.2 miles in two hours and thirty minutes?

Answers

26.2 miles is equal to 42165 kilometers and 2 hours and 30 minutes is equal to 9000 seconds. Therefore, the speed is 4.685 m/s.

What is speed?

The most crucial scientific notion is measurement. Base or physical basic units are used to quantify a wide range of quantifiable quantities. One such quantifiable metric is speed, which calculates the ratio between the distance an item travels and the time needed to cover that distance.

The pace at which an object's location changes in any direction is referred to as speed.

The distance traveled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar number.

Therefore, the speed is equal to 4.685 m/s.

Read more about speed, here

https://brainly.com/question/28224010

#SPJ1

. Acceleration is the rate at which/what hap-
pens?

Answers

Acceleration is the rate at which Velocity changes

A student's research indicates that Pluto's radius is 1.172 x 10 m and its mass is
1.2 x 1022 kg.

a. Calculate the gravitational field strength at Pluto's surface.

b. calculate the force of gravity at Pluto’s surface of an object with a mass of 100kg

Answers

The gravitational field strength at Pluto's surface is 5.827 x 10⁹ N/kg.

The force of gravity between the object and Pluto's surface is 5.827 x 10¹³ N.

What is the gravitational field strength at Pluto's surface?

The gravitational field strength at Pluto's surface is calculated as follows;

G_E = GM/r²

where;

M is mass of the Plutor is the radius of PlutoG is universal gravitation constant = 6.67 x 10⁻¹¹ Nm²/kg²

G_E = (6.67 x 10⁻¹¹ x 1.2 x 10²²) / (1.172 x10)²

G_E = 5.827 x 10⁹ N/kg

Force of gravity between the object and Pluto's surface

The force of gravity between the object and Pluto's surface is calculated as follows;

F = GMm/r²

F = (6.67 x 10⁻¹¹ x 1.2 x 10²² x 100) /(1.172 x 10)²

F = 5.827 x 10¹³ N

Learn more about force of gravity here: https://brainly.com/question/2537310

#SPJ1

The accompanying photo shows a KC-10A Extender using a boom to refuel an aircraft in flight. If the velocity of the KC-10A is 125 m/s due east relative to the ground, what is the velocity of the aircraft being refueled relative to (a) the ground, and (b) the KC-10A?

Answers

The velocity of the aircraft relative to the ground is 125 m /s due East and relative to KC-10A is zero

Given that,

Velocity of KC-10A with respect to ground = 125 m / s due East

The refueling aircraft is in contact with KC-10A in order to refuel KC-10A. In order to remain in contact, the velocity of both the KC-10A  and refueling aircrafts must be equal.  Therefore, if seen from ground both the aircrafts should be moving with same velocities which is 125 m / s due East.

If seen from KC-10A, the refueling aircraft seems to be not moving as both the aircrafts are moving at same velocities. Therefore, in relation to KC-10A the refueling aircraft has zero velocity.

Therefore, the velocity of the aircraft relative to the ground is 125 m /s due East and in relation to KC-10A is zero

To know more about Relative velocity

https://brainly.com/question/19260269

#SPJ1

The Ruby-throated Hummingbird (Archilochus colubris) can flap its wings with an angular speed of 342 rad/s . What is the period of its flapping motion?

Answers

When the Ruby-throated Hummingbird flap its wings with an angular speed of 342 rad/s, the period of its flapping motion is 0.018 seconds.

How to illustrate the information?

Rotational velocity, sometimes referred to as angular frequency vector, is a pseudovector used in physics to express how quickly an object's angular position or orientation varies over time.

A scalar measurement of the rotating item is its angular speed. A vector representation of the rotating object is the angular velocity. Only the magnitude is specified for angular speed.

It should be noted that w = 2πf

f= frequency

f= 342 / 2 × 3.14

= 54.49Hz

Therefore, the time period will be:

= 1 / Frequency

= 1 / 54.49

= 0.018 seconds.

Learn more about speed on:

https://brainly.com/question/13943409

#SPJ1

The period of its flapping motion

T=0.018 s


This is further explained below.

What is the period of its flapping motion?

The process in which an object's location changes in relation to the passage of time is referred to as motion.

The mathematical representation of motion includes variables such as displacement.

Generally, omega,=2pi

f=frequency

f =(omega)/(2pi)=(346)/(2*3.14)=55.09Hz

Timeperiod

T=(1)/(f),

T=(1)/(55.09)

T=0.018 s

In conclusion, A full cycle of vibration takes the amount of time shown by the symbol T, which is referred to as the Period. The length of time it takes for a wave to complete one cycle shortens as its frequency rises.

Read more about Time period

https://brainly.com/question/14059073

#SPJ1

A box has a mass of 30kg and accelerates at a rate of 3 m/s. If the force of friction on the box is 20N, how much force did YOU exert in order to move it?

Answers

The amount of force exerted on the box reported to weigh 30kg and accelerates at a rate of 3m/s² is 110N.

How to calculate force?

The force applied to a body can be calculated by adding the resultant force to the frictional force as follows:

Applied force = resultant force + frictional force

However, the resultant force (F) can be calculated by using the following formula:

Resultant force = mass × acceleration

Resultant force = 30kg × 3m/s²

Resultant force = 90N

Applied force = 90N + 20N = 110N

Therefore, the amount of force exerted on the box reported to weigh 30kg and accelerates at a rate of 3m/s² is 110N.

Learn more about resultant force at: https://brainly.com/question/2288841

#SPJ1

Question 1
Imagine running one hour straight west at 12 km/h and then changing direction
quickly and running one hour straight north at 12 km/h. What was your total
distance? Round to the nearest whole number.
O 34 km NW
O 12 km
O 24 km
O 17 km NW
1 pts

Answers

Answer: 24km

Explanation:

hope this helps

A population that is industrialized is experiencing a drop in death rates. However, the birthrate remains high. Could it be undergoing the demographic transition? Explain.

Answers

a consistent drop in the death rate.

As nations grow more industrialized, the demographic transition depicts the change from high birth (fertility) and death rates to low birth (fertility) and death rates. Due to low levels of family planning and poor sanitation and medical care, fertility rates are high during the pre-industrial period of the demographic transition, and death rates are also high. During this time, the population does not increase. The death rate declines during the subsequent stage, known as the transitional period, as a result of advancements in sanitation and medical treatment, but fertility rates continue to be high. Currently, there are more births than deaths, which causes the population to grow quite quickly.

Learn more about death rate here-

https://brainly.com/question/14148819

#SPJ9


A force acting on an object that is free to move will cause a change in the speed of the object. Which graph shows how the
single constant force were applied to the object over a period of time?

Answers

A push or pull on an item is defined as a force. Gravitation, resistance, and applied force are examples of forces. Force alters the speed or motion's direction. These modifications are known as acceleration.

According to Newton's second law, the acceleration of an object caused by a net force is directly related to the magnitude of the net force, in the same net force, and inversely related to the object's mass.

A constant force can be defined as a constant force delivered to a specific item in a direction parallel to the acceleration created in the body. As previously established, the consistent force is proportional to the acceleration generated in a body.

The rate of change of linear momentum is proportional to the applied force.

Learn more about Newton's Laws of motion here

https://brainly.com/question/25545050

#SPJ9

An airplane in flight is subject to an air resistance force proportional to the square of its speed v. But there is an additional resistive force because the airplane has wings. Air flowing over the wings is pushed down and slightly forward, so from Newton's third law the air exerts a force on the wings and airplane that is up and slightly backward (Figure 1). The upward force is the lift force that keeps the airplane aloft, and the backward force is called induced drag. At flying speeds, induced drag is inversely proportional to v2, so that the total air resistance force can be expressed by Fair=αv2+β/v2, where α and β are positive constants that depend on the shape and size of the airplane and the density of the air. To simulate a Cessna 150, a small single-engine airplane, use α = 0.270 N⋅s2/m2 and β = 3.45×105 N⋅m2/s2 . In steady flight, the engine must provide a forward force that exactly balances the air resistance force.

Calculate the speed at which this airplane will have the maximum range (that is, travel the greatest distance) for a given quantity of fuel. Hint: Think what condition the resistance force must satisfy in order to yield the maximum range.

Answers

The amount of the change in an object's position over time or the size of the change per unit of time, which is referred to as speed, is a scalar number in kinematics and common usage.

Calculate the speed at which this airplane will have the maximum range (that is, travel the greatest distance) for a given quantity of fuel.

When an airplane is in flight, air resistance exerts a force proportional to the square of the speed V. However, the fact that the airplane has wings adds another resisting force. According to Newton's third law, air flowing over the wings is pushed down and slightly forward, which results in the air exerting an upward and somewhat backward force on the wings and airplane (Figure 1). The lift force that holds the airplane in the air is upward, while induced drag is the backward force. The total air resistance force can be stated as F_air = A.V? +B/V2 since induced drag is inversely proportional to V2 at flying speeds, and a and B are positive constants that depend on the size and shape of the object, where A and B are constants that depend on the size, shape, and weight of the aircraft as well as the air's density. Use A = 0.260 N.s?/m2 and B = 3.49x105 N.mo/s2 to model the little single-engine Cessna 150. The engine must deliver a forward force during steady flight that precisely balances the force of air resistance.

To know more about Speed, click on the link below:

https://brainly.com/question/12293910

#SPJ1

I have this quick question for a tutor?

Answers

cylinder that 25cm diameter have  the greatest elastic potential energy.

The energy that is stored when a force is used to deform an elastic object is known as elastic potential energy. Until the force is released and the object springs back to its original shape, doing labor in the process, the energy is retained. The object may be compressed, stretched, or twisted during the deformation.

The elastic limit of an object intended to store elastic potential energy will normally be high, but the maximum load that an elastic object can support is a property shared by all elastic objects. The elastic limit is the point at which an object can be deformed without losing its original shape

To learn more about potential energy:

https://brainly.com/question/24284560

#SPJ9

A boat travels at 15 m/s in a direction 45° east of north for an hour. The boat then turns and travels at 18 m/s direction 5° north of east for an hour. What is the magnitude of the boat's resultant velocity? Round your answer to the nearest whole number. m/s What is the direction of the boat's resultant velocity? Round your answer to the nearest whole degree. • north of east

Answers

The boat’s resultant velocity is v = 31.0 m/s, and the direction of the boat is 23.2 degrees north of east.

A resultant velocity is calculated using the formula below.

Vm equals Sum Sqrt(Vxi2 + VYj2)

where Vm is the resulting magnitude of velocity.

All x-component velocities are denoted by the letters Vxi.

The y-component of all velocities is called Vyj.

Add all of the values for the x-components together, square that number to get the magnitude of the resultant velocity. Add this to the earlier value after doing the same operation for the y-components. Finally, to determine the magnitude, square the result.

Tan-1 (Vx/Vy) = Va

where Va is the resultant velocity's angle.

Vx is the size of the resultant velocity's x-component.

Vy is the size of the resultant velocity's y-component.

To learn more about resultant velocity please visit-
https://brainly.com/question/9163788
#SPJ9

Let A = 4i- 2j, B=-3i+ 6j, and F = 1i-4j. What is the magnitude of F ?

Answers

The magnitude  is 4.1.

What is the magnitude of the vector?

We must know that a vector is a quantity that has both magnitude and direction. The term magnitude refers to the amount of the vector while the direction shows the place where the vector is headed. It is common to write a vector in bold face or to show the direction of the vector by use of an arrow written above the symbol of the vector.

In this case, we have  vector  that is shown in the given directions and we have been asked to find the magnitude of the vector. We could find the magnitude of the vector from; √(1)^2 + (4)^2 = 4.1

Thus, the magnitude is 4.1.

Learn more about vectors:https://brainly.com/question/13322477

#SPJ1

non example of distance

Answers

if a car travels east for 5 km and takes a turn to travel north for another 8 km, the total distance travelled by car shall be 13 km

A non-example of distance is "a car that weighs 10 kg travels at a speed of 5 km/hr."

What is distance?

In Mathematics and Science, distance can be defined as the amount of ground that is travelled by a physical object or body over a particular period of time and speed, irrespective of its direction, starting point or ending point.

Mathematically, the distance traveled by a car when it is positioned between two end points can be calculated by using this equation:

Total distance = 20 km + 10 km

Total distance = 30 km

In conclusion, since I didn't mention the time taken in the sentence above, it is a non-example of distance.

Learn more about distance here: brainly.com/question/10545161

#SPJ2

Complete Question:

What is a non-example of distance?


A cellphone emits a radio signal with a frequency of 1910 MHz. Determine its wavelength

Answers

The wavelength of the radio signal, λ = 1.57 m.

Equation :

To find the wavelength we use the formula,

fλ = c

where,

f is frequency of radio signal

c is speed of light

λ is wavelength

So,

The known values are :

frequency = 1910 MHz

speed of light = 3 x 10⁸ m/s

λ = ?

By rearranging the formula we get,

λ = c / f

Putting values,

λ = 3 x 10⁸ m/s / 1910 MHz

λ = 3 x 10⁸ m/s / 1.91 x 10⁸ Hz

λ = 1.57 m

What is wavelength and frequency?

The wavelength, which will also apply to troughs, is the separation between two wave crests. The frequency is measured in cycles per second (Hz), which is the quantity of vibrations that cross a specific area in a second (Hertz). In this article, the relationship between wavelength and frequency is covered.

To know more about frequency :

https://brainly.com/question/5102661

#SPJ9

Other Questions
Solve. (x+1)/-2=25 answer this and u will get 20 points problem 11.003 - mass on a spring - dependent multi-part problem - assign all parts skip to question note: this is a multi-part question. once an answer is submitted, you will be unable to return to this part. the vertical motion of mass a is defined by the relation x PLS HELP WILL GIVE BRAINLIEST!!!! under the articles of confederation there was a failed attempt to raise revenue and pressure the british by a(n) what? group of answer choices tariff income tax quitrent foreign property tax HELP i think its true A polyatomic ion is more than one type of element bonding to create a cation or an anion.true or false ) what were harrison and his empress doing before they were killed? group of answer choices mambo no. 5 watching tv dancing and kissing screaming Aminophylline theophylline is prescribed for a client with acute bronchitis a nurse administers the medication knowing that the primary action of this medication is to:____. 4xsquared-1 factories Which length of time is between 11.20 am and 2.05 pm ? Please help give me your branliest Cristo was recently hired as a concierge at a boutique hotel in Austin, Texas. He is currently undergoing etiquette training before being allowed to start in his new position. What are some things that Cristo will MOST LIKELY learn in his etiquette training? A. how to make and describe each and every item on the hotels room service menu B. how to manage and operate the computer system in a way that ensures that no data breaches ever occur C. the proper handling of money and the procedure for securing large sums of cash in the safe D. how to interact professionally with customers and practice good manners when greeting guests or dealing with complaints guys please help plsssssssss Identify the type of fallacy being used in the statement.Gone with the Wind is the top grossing movie of all time, so it must be the greatest movie of all time. WILL MARK BRAINLIEST What are the three Puritan Values discussed in class that influenced settlers andearly American authors?Piety, Courage, and IndustryHard work, Education, and HumilityFreedom, Honesty, and Honor Would anyone help me solve all of this? You arrive on the scene with the code team. High-quality cpr is in progress. An aed has previously advised "no shock indicated. " a rhythm check now finds asystole. After resuming high-quality compressions, which action do you take next?. What is the value of ? Use the diagram to find the angle measures that satisfy each case. Find the measures of all 4 angles if m Heat problems can be caused by which of the following?O a. Proper fitness levelO b. Higher body fatOc. Not enough saltd. Proper heat acclimatization jason said that that was all cool and everything, but his grandfather smoked, like, 30 cigarettes a day and lived until 97 - so don't believe everything you read about meta analyses of methodologically sound studies showing proven causal relationships.