Which of the following does not change as a skater goes down a ramp?
-Thermal Energy
-Gravitational potential energy
-Total Energy
-Kinetic Energy

Answers

Answer 1

Answer:

total energy

Explanation:

law of conservation of energy


Related Questions

Classify these relationships between the properties of waves as directly proportional or inversely proportional.
(a) wavelength and energy
(b) frequency and wavelength
(c) energy and frequency

Answers

Directly proportional is: energy and frequency; Inversely proportional: wavelength and energy and frequency and wavelength.

What are the relationships between the properties of waves?

(a) The wavelength and energy are inversely proportional to each other. This implies that as the wavelength of a wave increases, its energy decreases, and as the wavelength decreases,  energy increases.

(b) The frequency and wavelength are inversely proportional to each other. This implies that as  frequency of a wave increases, its wavelength decreases, and as frequency decreases, wavelength increases.

(c) Energy and frequency are directly proportional to each other. This implies that as frequency of a wave increases, its energy also increases, and as frequency decreases, energy decreases.

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Consider a point charge qqq in three-dimensional space. Symmetry requires the electric field to point directly away from the charge in all directions. To find E(r)E(r)E(r), the magnitude of the field at distance rrr from the charge, the logical Gaussian surface is a sphere centered at the charge. The electric field is normal to this surface, so the dot product of the electric field and an infinitesimal surface element involves cos(0)=1cos⁡(0)=1. The flux integral is therefore reduced to ∫E(r)dA=E(r)A(r)∫E(r)dA=E(r)A(r), where E(r)E(r)E(r) is the magnitude of the electric field on the Gaussian surface, and A(r)A(r)A(r) is the area of the surface.

Answers

Answer:

 E = \(\frac{1}{4\pi \epsilon_o } \ r^2\)

Explanation:

For this exercise let's use Gauss's law. The Gaussian surface that follows the symmetry of the charges is a sphere

           Ф = ∫ E. dA = \(\frac{x_{int} }{\epsilon_o}\)

the bold are vectors, the radii of the sphere and the electric field are parallel therefore the scalar product reduces to the algebraic product

           Ф = ∫ E dA = \frac{x_{int} }{\epsilon_o}

           E ∫ dA = \frac{x_{int} }{\epsilon_o}

           E A = \frac{x_{int} }{\epsilon_o}

the area of ​​a sphere is

            A = 4π r²

the charge inside the sphere is q = + q

           

we substitute

           E 4π r² = \frac{x }{\epsilon_o}

           E = \(\frac{1}{4\pi \epsilon_o } \ r^2\)

for a control volume enclosing the condenser, the energy balance reduces to:

Answers

In the context of thermodynamics, a control volume refers to an arbitrary region in space used to analyze the flow and energy transfer within a system. The condenser is a component commonly found in thermal systems, such as refrigeration or power plants, where it is responsible for transferring heat from a working fluid to a cooling medium.

When considering the energy balance for the control volume enclosing the condenser, several factors come into play. The energy balance equation for this scenario focuses on the energy input and output within the control volume. In the case of the condenser, the energy balance equation can be simplified because the condenser typically operates at a nearly constant pressure. This simplification allows us to neglect the changes in kinetic and potential energy terms.The energy balance equation for the condenser reduces to a simpler form where the energy input is equal to the energy output. This means that the heat absorbed by the condenser from the working fluid, which is usually in the form of latent heat, is equal to the heat rejected by the condenser to the cooling medium.

This simplified energy balance equation helps us analyze and optimize the performance of the condenser in terms of heat transfer efficiency and thermal management within the system. In summary, for the control volume enclosing the condenser, the energy balance reduces to a simplified equation where the energy input is equal to the energy output, considering the nearly constant pressure operation. This simplification allows for a focused analysis of the heat transfer processes occurring within the condenser.

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A spring with a spring constant of 40 N/m is compressed 0.15 m. How much energy is stored in the spring?

Answers

Answer: Energy is conserved.

Explanation: Energy stored in spring = Potential energy gained by object at maximum height

A bumblebee is flying to the right when a breeze causes the bee to slow down with a constant leftward acceleration of magnitude 0.50 m s 2 0.50 s 2 m ​ 0, point, 50, start fraction, start text, m, end text, divided by, start text, s, end text, squared, end fraction. After 2.0 s 2.0s2, point, 0, start text, s, end text, the bee is moving to the right with a speed of 2.75 m s 2.75 s m ​ 2, point, 75, start fraction, start text, m, end text, divided by, start text, s, end text, end fraction. What was the velocity of the bumblebee right before the breeze? Give the correct sign for your answer, using a coordinate system where rightward is positive. Round the answer to two significant digits.

Answers

Answer:

3.75 m/s

Explanation:

Given that a bumblebee is flying to the right when a breeze causes the bee to slow down with a constant leftward acceleration of magnitude 0.50 m/s^2. After 2.0 s the bee is moving to the right with a speed of 2.75 m/ s

What was the velocity of the bumblebee right before the breeze?

Since the breeze blows with the acceleration of 0.5 m/s^2 for 2 seconds, we can calculate the magnitude of the velocity at which it moves.

Acceleration = velocity/ time

Substitute the acceleration and time into the formula

0.5 = V/2

Cross multiply

V = 2 × 0.5

V = 1 m/s

The bumblebee is travelling right ward while the wind travels leftward.

The relative velocity = 2.75 m/s

Let the bumblebee speed = Vb

While the wind = VW

Vb - Vw = 2.75

Substitute the wind speed into the formula

Vb - 1 = 2.75

Vb = 2.75 + 1

Vb = 3.75 m/s

Therefore, the velocity of the bumblebee right before the breeze is 3.75 m/s

What information is given on the X-axis of the graph below?

answers:
there is no x axis
years from 1920-2005
co2 concentration
the name of the observatory

What information is given on the X-axis of the graph below?answers: there is no x axisyears from 1920-2005co2

Answers

The information given on the X-axis of the graph attached is the years from 1920-2005 (option B).

What is a graph?

A graph in mathematics or statistics is a data chart (graphical representation of data) intended to illustrate the relationship between a set (or sets) of numbers (quantities, measurements or indicative numbers) and a reference set.

A graph consists of two axes namely; X-axis and Y-axis. The x-axis on a graph is usually drawn left to right and usually shows the range of values of an independent variable.

On the other hand, the Y-axis is the axis on a graph that is usually drawn from bottom to top and usually shows the range of values of variable dependent on one other variable.

Therefore, according to the graph illustrated above, the x-axis shows the years from 1920-2005.

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A uniform plank of 5 m is rested across the banks of a stream the plank weighs 50 N how far from the center would the weight appear to act

Answers

Answer:

kenaoaccff da di rumah aja deh biar aman aja nih orang bikin emosi mudah marah sama aja deh kalo gue juga bingung nih anak gaul banget

What causes a gravitational field around an object?
density
mass
shape
volume

Answers

Answer:  It is mass

Explanation: It is caused by a bending of space-time.

Answer:

B - Mass

Explanation:

Edg

PLEASE HELP

Adam weighs roughly 667 N. Remember that weight is a force due to the gravitational pull on an object.
Find Adam's Mass. (remember weight = mass x gravity. Rearrange this formula to solve for mass. Mass =
weight / gravity)

Answers

Assuming Adam is on earth g= 9.8 m/s and m= weight/ gravity = 667/9.8 = 68 kg

The potential difference between two points in a space is 1000 V, and 2 coulombs of charge is transferred from the point of lower potential to the point of higher potential. The amount of work done is _____.

2x10-3 J

500 J

1000 J

2000 J

Answers

The amount of work done is 2000 J. Therefore, the correct option is D. 2000 J.

The potential difference between two points in space is 1000 V, and 2 coulombs of charge is transferred from the point of lower potential to the point of higher potential. The amount of work done is 2000 J. Work done is equal to the amount of charge transferred multiplied by the potential difference between the two points. Mathematically, the work done, W = Q x V, where W is work done, Q is the charge transferred, and V is the potential difference between the two points. In this question, the potential difference between the two points is given as 1000 V, and 2 coulombs of charge is transferred from the point of lower potential to the point of higher potential. Hence, the work done is:

W = Q x V = 2 C x 1000 V = 2000 J

Therefore, the amount of work done is 2000 J.

Therefore, the correct option is D. 2000 J.

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At am outdoor market, a bunch of bananas is set into oscillatory motion with an amplitude of 29.8981 cm on spring with a spring constant

Answers

Answer:

Hello your question lacks some very vital information hence I will give you a general equation where you can input the missing values and get your answer

answer :  mass of Bananas ( m ) = \(\frac{A^2}{V^2} * K\)

To calculate for weight of Bananas  = m * g      where g = 9.8

Explanation:

Given an amplitude ( A )= 29.8981

Spring constant = x ( unknown )

maximum speed of Bananas( v ) = wA  ( unknown )

question : calculate the weight of the bananas

First  step : calculate the period of oscillation

T = \(\frac{2\pi }{vA}\) --- ( 1 )

next step : express T in terms of mass ( m ) of the bananas

= \(2\pi \sqrt{\frac{m}{k} } = \frac{2\pi }{vA}\)

∴ m/k = A^2 / v^2

hence  mass of Bananas ( m ) = \(\frac{A^2}{V^2} * K\)

To calculate for weight = m * g

A bucket tied to a rope is moving at a constant speed of 5.0 m/s in a circle of radius
2.0 m. Calculate the approximate magnitude of the centripetal acceleration of the bucket.
The below answer choices are in m/s^2

A.) 2.5
B.) 6.2
C.) 12.5
D. None of these

Answers

Answer:

\(a=12.5\ m/s^2\)

Explanation:

Given that,

The speed of the bucket tied to a rope, v = 5 m/s

The radius of the circle, r =2 m

We need to find the magnitude of the centripetal acceleration of the bucket. The formula for the centripetal acceleration is given by :

\(a=\dfrac{v^2}{r}\\\\a=\dfrac{(5)^2}{2}\\\\a=12.5\ m/s^2\)

So, the centripetal acceleration of the bucket is \(12.5\ m/s^2\).

an accident victim with a broken leg is being placed in traction. the patient wears a special boot with a pulley attached to the sole. the foot and boot together have a mass of 4.0 kg, and the doctor has decided to hang a m = 7.0kg mass from the rope. the boot is held suspended by the ropes and does not touch the bed. (figure 1)no title providedA) Determine the amount of tension in the rope by using Newton?s laws to analyze the hanging mass. Assume that ? = 11? ^ circ . Hint: If the pulleys are frictionless, which we will assume, the tension in the rope is constant from one end to the other.B) The net traction force needs to pull straight out on the leg. What is the proper angle ? for the upper rope?C) What is the net traction force pulling on the leg?

Answers

The amount of tension in the rope by using Newton's laws if The mass suspended on ropes is 7 kg, is 68.6 Newtons.

What is mass?

A fundamental characteristic of an object, its inertia is quantified by its mass, which is a basic indicator of the volume of substance inside the thing. Because mass is such a fundamental quantity and is difficult to define in terms of another, definitions of it frequently appear circular.

It is possible to define every mechanical quantity in terms of mass, length, and time. The SI unit for mass, denoted by the letter m, is the kilogram.

Given:

The mass of the foot and boot, M = 4 kg,

The mass suspended by ropes, m = 7 kg,

Calculate the tension on the rope as shown below,

Tension on the ropes = m × a

Tension on the ropes = 7 × 9.8

Tension on the ropes = 68.6 N

Thus, the tension on the boot and foot is 68.6 N.

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Question: How do static and sliding friction affect the speed of a paperback book, a flat
eraser and a key?

Answers

Answer:

How do static and sliding friction affect the speed of a paperback book, a flat eraser and a key?

Prediction: Which item (paperback book, flat eraser, or key) will have the most static friction and which item will have the most sliding friction?  Make sure your prediction gives an explanation of your reasoning.

Explanation:

Covert 1 mile to feet. Then convert to inches. Then covert to centimeters. How many centimeters are in a mile?

Answers

1 mile = 5,280 feet
5,280 feet = 63,360 inches
63,360 inches = 160,934.4 centimeters

Answer:

160,934.4 cm or in other words *160,934*

Explanation:

1 mile = 5280 ft.

5280 ft. = 63360 in.

63360 in. = 160934.4

F. What force is necessary for a person to hold a 50 kg mass over their head?

Answers

Answer: 490.5 N

Explanation:

In this case, the only two forces acting on the mass are the person's strength (i.e. the force in question) and the weight of the mass.

The sum of the forces is equal to 0. This means that Force (person) = Force (weight).

Fp = Fw = m * gravity

Fp = 50 kg * 9.81 m/s^2

Fp = 490.5 (kg*m/s^2)

Fp = 490.5 N

when a(n) 870-kg compact car accelerates from rest to 29 m/s , it consumes 0.0726 l of gasoline, and 1.0 l of gasoline contains approximately 3.2×107 j of energy. Problem 7.20 When a(n) 870-kg compact car accelerates from rest to 29 m/s, it consumes 0.0726 L of gasoline, and 1.0 L of gasoline contains approximately 3.2x10 J of energy. Part A What is the efficiency of the car? El 28 Submit My Answers Give Up incorrect; Try Again; 4 attempts remaining

Answers

The efficiency of the car is approximately 15.69%.

The efficiency of a car can be calculated by dividing the useful work output by the energy input. First, find the work output using the kinetic energy formula: KE = (1/2)mv^2, where m is the mass (870 kg) and v is the final velocity (29 m/s). KE = (1/2)(870)(29^2) = 364395 J.

Next, find the energy input by multiplying the amount of gasoline consumed (0.0726 L) by the energy per liter (3.2×10^7 J/L). Energy input = 0.0726 * 3.2×10^7 = 2.3232×10^6 J.

Now, divide the work output by the energy input to find the efficiency: Efficiency = (364395 J) / (2.3232×10^6 J) = 0.1569 or 15.69%. The efficiency of the car is approximately 15.69%.

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Giving a puppy a treat to encourage the behavior of sitting is an example of________________. * 5 points Gestalt Theory Reinforcement None of the above

Answers

Typically, operant conditioning is the method we employ when we are training our canines. The outcome is now determined by the dog's conduct.

Simple definition of Gestalt psychology.

In order to comprehend how the human brain interprets experiences, gestalt psychology is a school of thinking. It implies that structures have unique qualities that distinguish them from the sum of their constituent pieces when taken as a whole.

An illustration of a gestalt is...

The Gestalt principle of similarity describes how humans combine information by comparing the similarity of items if closeness is determined by position. For instance, we would classify them as cats and dogs if there were five dogs of various varieties and five cats of various breeds.

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Which describes one event that causes an eclipse?

Earth’s rotation on its axis
shadows from clouds covering Earth
Earth’s shadow covering the moon
the gravity from the moon and Sun pulling in the same direction

Answers

Answer:

Earths shadow covering the moon would create a lunar eclipse.

Explanation:

because i just know

A lunar eclipse is occur when Earth’s shadow is covering the moon.

What is eclipse?

An eclipse happens when one astronomical body like Earth or moon blocks light from or to another.

What is lunar eclipse?

A lunar eclipse is caused by Earth blocking sunlight from reaching the moon and causing a shadow across the lunar surface.

What is solar eclipse?

Sometimes when the Moon orbits Earth, the Moon moves between the Sun and Earth. When this happens, the Moon blocks the light of the Sun from reaching Earth. This causes an eclipse of the Sun, or a solar eclipse.

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Let's say you want to start a fire using a mirror to focus sunlight. What would you do A) use a plane mirror. B) use a convex mirror , with the object to be ignited positioned at the center of curvature of the mirror. C) use a concave mirror, with the object to be ignited positioned at the center of curvature of the mirror. D) use a concave mirror, with the object to be ignited positioned halfway between the mirror and its center of curvature.

Answers

Answer:

A concave mirror is used.

Explanation:

start a fire using a mirror to focus sunlight.

A concave mirror is used as a light concentrator.

When the object is placed at the infinity, the image is formed at focus.

So, the light is focused at the focus and thus the fire is started.

Let's say you want to start a fire using a mirror to focus sunlight. What would you do A) use a plane

Has anyone finished this so I can copy?



Has anyone finished this so I can copy?

Answers

The lab report is divided into eight sections:

Title, Abstract, Introduction, Methods and Materials, Results, Discussion, Conclusions, References.

What does rubric mean?A rubric is an evaluation guide used to evaluate the performance of a product or project. Next it has three parts: 1) performance criteria; 2) evaluation scales; 3) indicators. For you and your students, the rubric defines what is expected and what is valued. For example, an essay rubric may tell students that work will be evaluated on purpose, structure, detail, voice, and mechanism. A good rubric will also list the quality level for each criterion.The first use of the word rubric, which derives from the Latin ruber, meaning red, was to describe a section of a medieval manuscript written in red ink. It was often used to distinguish section headings, initials, and religiously significant names.

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Developing an action plan is part of which of the seven health skills? O advocacy O communicating O setting goals O making decisions​

Answers

Developing an action plan is part of making decisions​ on the seven health skills, which are fundamental in healthcare.

What are the seven health skills?

The seven health skills can be defined as different aptitudes required to set healthcare decisions.

These health skills include:

Advocacy    Assessing Influences/Resources.Communication.Decision Making.Setting objectives

 

In conclusion, developing an action plan is part of making decisions​ on the seven health skills, which are fundamental in healthcare.

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When a red hot piece of iron is put into boiling water what happens to the temperature of the water

Answers

Answer:

The temp of the water will remain the same...BUT some of the water will be converted to steam

Explanation:

Boiling water has reached its max temperature of liquid state....adding more heat will create steam ...at a constant water temp

how does the presence of an active galactic nucleus in a starburst galaxy affect the starburst process?

Answers

The availability of the a galactic nucleus inside a galaxy experiencing starbursts can slow or stop the starburst process.

Why did Coles and Woolworths stop selling Starburst?

Due to "increasing financial concerns," Mars Wrigley quietly pulls Starburst candies from grocery shelves throughout Australia. An popular Australian lollipop brand got dropped by a US confectionery business after one social media user noticed her favorite delicacy was inexplicably gone while looking for it.

What are Starburst called now?

22 years after being renamed, Starburst will become Opal Fruit, according to a statement from the candy's manufacturer, Mars. Stores including Poundland, B&M, Home Bargains, Iceland, Savers, and others will sell the goods for fans to purchase.

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A block weighing 35 N is resting on a steel table (us = 0.40).
The minimum force to start this block moving is
N.

Answers

Answer: 14

Explanation: 35•0.40

The minimum force to start this block moving is 14N,formula to be used to find  minimum force(F= μ N

What does physics mean by minimum force?

those minimal steps, including the use of force, required to defuse a crisis or protect oneself from an aggressive act or hostile intent. Once the target obeys orders or stops taking hostile action, all actions must stop.

How do you determine the greatest and smallest force?

To solve such problems, you must find the second derivative: The force is at its minimum if the second derivative is positive; at its maximum if the second derivative is negative.

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FAILURE OF THE PRODUCT Instructions 1. Select THREE from everyday below items from the list and discuss the way this item can potentially fail (list minimum THREE failures). Justify your answer by considering Load Strength graph and what can be done to prevent those failures. -Ball Pen -Room Key - Blender

Answers

The three product which can be potentially fail considering Load Strength graph and precautionary measure to prevent failure are as below;

Ball Pen:

1. Ink Leakage: One potential failure of a ball pen is ink leakage. This can occur due to poor sealing between the ink reservoir and the ballpoint mechanism. Ink leakage can result in messy hands, stained documents, and reduced functionality of the pen. To prevent this failure, manufacturers can improve the quality control process to ensure proper sealing and use high-quality materials for the pen's components.

2. Ballpoint Jamming: Another failure is ballpoint jamming, where the ball gets stuck and prevents smooth writing. This can be caused by a buildup of dried ink or debris inside the pen's mechanism. To prevent ballpoint jamming, regular cleaning and maintenance of the pen can be recommended. Additionally, manufacturers can design the pen with features that facilitate easy cleaning or provide instructions on how to clear any blockages.

3. Weak Barrel Construction: The barrel of the pen may also be prone to failure if it is weak or brittle. Excessive pressure or rough handling can lead to cracks or breakage, rendering the pen unusable. To prevent this, manufacturers can use durable materials for the pen barrel, such as sturdy plastics or reinforced metal, and perform quality checks to ensure structural integrity.

Room Key:

1. Keycard Malfunction: A potential failure of a room key is a malfunction in its electronic components. This can result in the keycard being unreadable by the door lock system, preventing access to the room. To prevent this failure, regular maintenance and replacement of keycard readers can be implemented. Additionally, guests should be advised to keep their keycards away from magnets and electronic devices that can interfere with the card's functionality.

2. Magnetic Strip Damage: Another failure can occur if the magnetic strip on the keycard gets damaged or demagnetized. This can happen due to exposure to magnetic fields or physical damage. To prevent this failure, keycards can be made more durable with protective coatings or alternative technologies such as RFID. Guests should also be educated on proper handling and storage of keycards to avoid damage.

3. Battery Drain: Some room keys use batteries to power their electronic components. A failure can occur if the battery drains, leading to an inactive keycard. To prevent this, low-power consumption designs can be implemented, and regular battery checks or replacements can be carried out by hotel staff. Guests should be informed about the importance of returning the keycard to the front desk for recycling or proper disposal to ensure the battery is replaced as needed.

Blender:

1. Motor Burnout: One potential failure of a blender is motor burnout due to prolonged use or overloading. Continuous operation at high speeds or attempting to blend hard or frozen ingredients beyond the blender's capacity can cause the motor to overheat and fail. To prevent motor burnout, manufacturers can provide clear guidelines on the maximum load capacity and recommended usage durations. Automatic thermal protection mechanisms can also be incorporated to shut off the blender if it detects excessive heat.

2. Blade Jamming: Another failure can occur if food particles or ingredients get jammed between the blender's blades, preventing them from spinning freely. This can happen if the blender is not properly cleaned or if ingredients are not adequately prepared before blending. To prevent blade jamming, users should be advised to clean the blender thoroughly after each use and ensure that ingredients are cut into manageable sizes. Manufacturers can also design blades with accessible mechanisms for easy cleaning or provide cleaning tools.

3. Leakage: A failure in a blender can also manifest as leakage. This can happen if the blender jar or its sealing components are damaged or improperly assembled. Liquid or food can leak out during blending, resulting in a messy and potentially unsafe situation. To prevent leakage, manufacturers should ensure proper sealing mechanisms and use high-quality materials for the blender jar and lid. Regular inspection of the sealing components can be advised,

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An object weighs 15 N in air and 13 N when submerged in mineral spirits, which has a density of 788 kg/m3. Determine the density of the object

Answers

The density of the object is 5911.94 kg/m³

An object's buoyancy is the upward force produced by a fluid in opposition to the weight of a partly or totally submerged object.

The buoyancy = weight of the object - weight in water

= 15 N - 13N

= 2 N

The buoyancy force can also be determined by using the expressed:

\(\mathbf{F_B = Volume (V) \times density ( \rho) \times g}\)

\(\mathbf{2 = Volume (V) \times788 \ kg/m^3 \times9.8 }\)

\(\mathbf{ Volume (V) = \dfrac{2}{ 788 \ kg/m^3 \times9.8 }}\)

volume (v) = 2.589 × 10⁻⁴m³

Recall that:

The mass of an object can be estimated by using the formula:

Weight = mass × gravity

mass = Weight / gravity

mass = 15/9.8

mass = 1.5306 kg

The density of the object can now be calculated using the relation

Density = mass/volume

Density = 1.5306 kg / 2.589 × 10⁻⁴m³

Density = 5911.94 kg/m³

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Sally drove from New York to Washington and back again. She
averaged 50 mph on the way and 60 mph on the way back. The round
trip took her 18 hours. How far apart are the two cities?

Answers

Sally drove from New York to Washington and back again. The distance between New York and Washington is 490.91 miles.

The average speed is = Distance/time,

x/50 + x/60 = 18

6x/300 + 5x/300 = 18

11x / 300 = 18

11x = 18 × 300

11x = 5400

x = 5400 / 11

x = 490.91 Miles.

Hence, the distance between New York and Washington is 490.91 miles.

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What is the acceleration of the mass if m=2kg and there is a left sided force of 3N and right sided force of 9N

Answers

Answer:

Below

Explanation:

First we need to find the net horizontal or applied force of the mass :

     Fa = F1 + F2

Because they oppose each other it is negative :

     Fa = F1 - F2

     Fa = 9N - 3N

     Fa = 6N

Now we can use F = mass x acceleration to find the acceleration :

     6 N = 2kg x acceleration

     6- 2 = acceleration

     4 m/s^2 = acceleration

Therefore, the acceleration of this mass is 4 m/s^2 [Forward]

Hope this helps! Best of luck <3

A driver of a car traveling at 15.0 m/s applies the brakes, causing a uniform acceleration of -2.0 m/s squared. How long does it take the car to accelerate to a final speed of 10.0 m/s? How far has the car moved during the braking period?

Answers

Answer:

a) 2.5secs

b) 31.25m

Explanation:

a) From the question, we are given;

Initial speed u = 15m/s

Final speed v = 10.0m/s

Acceleration =-2.0m/s²

Required

How long it takes take the car to accelerate (Time t)

Using the equation of motion

v = u+ at

10 = 15+(-2)t

10 = 15-2t

10-15 = -2t

-5 = -2t

t = 5/2

t = 2.5secs

Hence it takes the car 2.5secs to accelerates.

b) We are to find distance S

Using the equation

S = ut + 1/2at²

S = 15(2.5)+1/2(-2)(2.5)²

S = 37.5-6.25

S = 31.25m

Hence the car as moved by 31.25m during the breaking period.

Hiii I think the answer might be 3.3 seconds,not exaclty sure tho

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