A river has a steady speed of 0.500 m/s. a student swims upstream a distance of 1.00 km and swims back to the starting point. (a) if the student can swim at a speed of 1.20 m/s in still water, how long does the trip take? (b) how much time is required in still water for the same length swim? (c) intuitively, why does the swim take lon- ger when there is a current?

Answers

Answer 1
a. Upstream refers to the motion of the swimmer where he is against the current. The resultant speed of the swimmer is equal to the difference of the velocity or speed in still water and that of the river. The time it requires to cover the distance is calculated through the equation,
               t = d / s
where t is time, d is distance, and s is speed. Substituting the known values,
             t = 1000 m / (1.2 m/s - 0.5 m/s) = 1,428.57 seconds

(b) The time it requires for the swimmer to swim in still water,
            t = 1000 m / (1.2 m/s) = 833.33 seconds

(c) Intuitively, it takes longer to cover the distance when there is current because the current will serve as resistance to the motion of the swimmer, partially moving it backwards instead of forward. 


Answer 2

Final answer:

The round trip swimming in the river with a current takes a total of 2016.8 seconds, while the same trip in still water would take 1666.7 seconds. The additional time required when there is a current is because the effective speed of the swimmer is reduced when going against the current, which outweighs the time saved by the increased speed when going with the current.

Explanation:

A river has a steady speed of 0.500 m/s and a student swims upstream a distance of 1.00 km and swims back to the starting point. Given these conditions, we can calculate the time taken for the entire trip, the time required for a similar trip in still water, and understand why swimming in a current takes longer.

Part A: Time for the round trip with current

Upstream, the student's effective speed is 0.70 m/s (1.20 m/s - 0.500 m/s) since the current opposes the swimmer. Downstream, the effective speed is 1.70 m/s (1.20 m/s + 0.500 m/s) as the current aids the swimmer. To find the time, we use the formula time = distance / speed. Thus, the time taken upstream is 1428.6 seconds and downstream is 588.2 seconds. The total time for the round trip is 2016.8 seconds.

Part B: Time for the same swim in still water

In still water, where there is no current, the speed of the swimmer is 1.20 m/s. The total distance of 2.00 km (1.00 km upstream and 1.00 km downstream) would require 1666.7 seconds to swim, calculated using the same distance/speed formula.

Part C: Intuition behind increased time with current

Intuitively, when there is a current, the effective speed of the swimmer decreases when swimming upstream because the current opposes the swimmer's motion, and although it increases when swimming downstream, the overall effect is that more time is needed to complete the swim as compared to swimming in still water. This is due to the fact that the loss of speed when going against the current has a more significant impact on the total time than the gain in speed when going with the current.


Related Questions

40 POINTS CORRECT ANSWER
What is the restoring force of a spring stretched 0.35 meters with a spring contact of 55 newtons/meter?

91 newtons

63 newtons

–35 newtons

–19 newtons

Answers

F=-kx
so multiple the two numbers together and put a negative sign in front
 F=-19.25

Yellow light is a mixture of red and green light. Which color of light would heat a yellow brick the most? red, green, or blue

Answers

Answer:

blue

Explanation:

The color of light would heat a yellow brick the most is blue.

Color of flame

A flame of light consists of different layers of light with different colors.

The colors include the following;

BlueYellowOrange, and Red

The inner core of the flame is blue which is the hottest and the color changes to yellow, orange and red towards the center of the flame with decreasing temperature.

Thus, the color of light would heat a yellow brick the most is blue.

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The following is current scientific evidence supporting the nebular theory on the formation of the solar system.

A.the composition of the inner and outer planets, current observations of star formation, and the motion of the solar system

B.current observations of star formation and the path of comets

C.current observations of the structure and motion of the solar system and the nebular galaxy

D.the composition of the inner and outer planets and the amount of hydrogen and helium found in space

Answers

A.the composition of the inner and outer planets, current observations of star formation, and the motion of the solar system I hope this helps
A the answer
hope it helps

there is more to this- pls dont answer for just points!

Answers

Since I wasn't there to witness the experiment I can't really help you unless you add a picture or type out what happened in the experiment. (Also keep in mind I still might not be able to help you considering I am limited in my knowledge.)

What causes a hurricane to lose energy when it moves onto land?

Answers

I know that in order for a hurricane to gain energy, it needs water and warm air and since hurricanes form in the water due to thunder storms near Africa, it loses energy because there is not much water on land than it is in the ocean or sea. :)

Newtons first law states that objects in motion stays in motion until an unbalanced force is acted upon it. what do you think this means? what would be an example of this?

Answers

Hi Spycn2115


Newton's first law states that objects in motion stay in motion until an unbalanced force is acted upon it is a good fact. When I first personally heard of it in class I had no clue but when I researched it I learned that one good example of this would be those cradle balls and if u swing it, it will keep constantly hitting each other back and fourth over and over until someone grabs it and stops it, so that's what objects in motion stays in motion until an unbalanced force is acted upon it means, because the balls are in motion by moving left to right constantly and its staying in motion by not stopping and that unbalanced force is someone or something maybe hitting it or knocking it over could stop it, balanced means staying still and equal, unbalanced means unstill so moving, the cradle balls are KE and PE, (Kinect and potential energy) because kinetic means moving, so the balls are moving, and potential means stored up, so before u even swing u have the potential energy to swing it different ways before it becomes kinetic. That's one of my favorite examples of Newton's first law and I left you a pic below of cradle balls to help you get the idea.

Compare green and orange light from the visible spectrum. which has: the longer wavelength? the greater frequency? the greater energy

Answers

Final answer:

Orange light from the visible spectrum has a longer wavelength but less frequency and energy than green light. This is due to the inherent relationships between these properties of light.

Explanation:

When comparing green and orange light from the visible spectrum, one must consider the relationships between wavelength, frequency, and energy. Light with a longer wavelength has less frequency and energy. Orange light falls at about 590-620 nm on the visible light spectrum, while green is at 495-570 nm.

This shows that orange light has a longer wavelength but less frequency and energy than green light. This is due to the inverse relationship that exists between wavelength and frequency (the longer the wavelength, the lower the frequency) and the direct relationship between frequency and energy (the higher the frequency, the greater the energy).

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Final answer:

Green light has a longer wavelength, lower frequency, and less energy compared to orange light in the visible spectrum.

Explanation:

When comparing green and orange light within visible spectrum, it's important to understand their characteristics in terms of wavelength, frequency, and energy. Green light has longer wavelength than orange light.

Consequently, because the frequency of light is inversely proportional to its wavelength, green light has a lower frequency than orange light. When it comes to energy, the shorter the wavelength, the higher the energy; therefore, green light has less energy than orange light.

A construction company is building a new neighborhood. Throughout the neighborhood there is exposed dirt. What will MOST LIKELY happen to the exposed dirt? A) It will start growing weeds. Eliminate B) It will be washed away by rain. C) It will become contaminated by oil. D) Rocks will damage construction equipment.

Answers

I believe the answer is A) it will start growing weeds.

I hope this helps
Yes the answer is A

Hope this helps! :)

A student is given an assignment to demonstrate diffraction. He takes a photograph of a straw in a glass of water. The straw appears bent at the water level. Which best describes this example? A)This is a good example of diffraction.B)This is an example of dispersion and not diffraction.C)This is an example of refraction and not diffraction.D)This is an example of reflection and not diffraction.

Answers

Diffraction or refraction

Answer: C) This is an example of refraction and not diffraction.

Explanation: The reason for the straw to appear bent at the water's surface is because of the process of refraction. Light travels at different speeds in different medium because of the varying densities.

The light travels from air to water and thus the difference in speed results in an apparent shift of the position of part of straw under water and thus the part appears broken.

Reflection is the the return of sound or light energy from the surface without absorbing it.

Diffraction is the phenomenon which occurs when the wave encounters an obstacle.

Clouds, precipitation and "weather" are found largely in this atmospheric layer:

Answers

There are five layers of the atmosphere. These include the troposphere, stratosphere, mesosphere, and thermosphere. A further region at about 500 km above the Earth's surface is called the exosphere. These layers are largely distinguished based on temperature. The troposphere is the lowest part of the atmosphere and contains about 75% of all of the air and water vapor in the atmosphere/

How long will it take a train to travel 765 miles at 85 miles per hour?

Answers

9 hours of travel
   765miles/ 85mph= 9 hours

It will take a train to 9 hours to travel 765 miles at 85 miles per hour.

HOW TO CALCULATE TIME?

The time taken to travel a certain distance can be calculated using the following expression;

Average speed = Distance traveled ÷ time taken

According to this question, a train is traveling 765 miles at 85 miles per hour. The time it takes is calculated as follows:

Time = 765miles ÷ 85mph

Time = 9 hours

Therefore, it will take a train to 9 hours to travel 765 miles at 85 miles per hour.

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Gravitational force between two masses ____ as the masses increase and rapidly _______ as the distance between the masses increases.

Answers

increases ; decreases

What is the volume of a board that measures 1.8cm by 8.8cm by 30.5cm?

Answers

In this question, you are given the boar length (30.5cm), width(8.8cm) and height(1.8cm). To answer this question, you need to know the formula needed to count volume. Volume is length x width x height. Since all the dimension is in the same unit (all in cm) you don't need to convert them.

The calculation would be: 30.5cm x 8.8cm x 1.8cm =483.12cm cubic

A car starts from rest and after 7 seconds it is moving at 42 m/s. What is the car’s average acceleration? A. 0.17 m/s2 B. 1.67 m/s2 C. 6 m/s2 D. 7 m/s2 E. none of the above

Answers

Acceleration =velocity /time
=42/7
=6

C. 6 m/s2 is correct

The brightening of the night sky by light scattered from artificial outdoor lighting is called answer

Answers

the brightening of the night sky by light scattered from artificial outdoor lighting is called Light Pollution
Final answer:

Light pollution, caused by scattered light from outdoor artificial lighting, not only impacts astronomy but disrupts animal life cycles and contributes to unnecessary energy waste. New forms of light pollution like reflections from commercial satellites are additionally disrupting astronomical photography.

Explanation:

The brightening of the night sky by light scattered from artificial outdoor lighting is referred to as Light Pollution. This essentially is the wasted light that spills into our night sky, hindering the visibility of stars and planets - an issue of significant concern for astronomers. However, Light Pollution also disrupts life cycles of animals we share our urban and suburban environment with and leads to unnecessary operational costs for municipalities due to the excessive usage of fossil fuels.

Moreover, recent developments have indicated a new threat in the form of multiple commercial companies planning and launching numerous satellites into low-Earth orbit. This is being done to provide internet access globally, but these satellites reflect sunlight, which has started to negatively impact astronomical photography.

There are initiatives channels that share comprehensive data on Light Pollution like the International Dark-Sky Association, and citizen science projects such as Globe at Night, aimed at inviting citizens to gauge the light levels in our communities.

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What force is required to accelerate an object having a mass of 3 kg at 5 m/s2?

Answers

As Force = Mass × Acceleration
F = 3 kg × 5m/s² 
F = 15 kg m/s² or 15 N

The required force  to accelerate an object having a mass of 3 kg at 5 m/s² is 15 N.

What is force?

The definition of force in physics is: The push or pull on a massed object changes its velocity.

An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude. The application of force is the location at which force is applied, and the direction in which the force is applied is known as the direction of the force.

A spring balance can be used to calculate the Force. The Newton is the SI unit of force.

Given parameters:

Mass of the object: m = 3 kg.

acceleration of the object: a = 5 m/s².

Hence, from Newton's 2nd law of motion:

force = mass × acceleration

= 3 kg × 5 m/s²

= 15 N.

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Express the surface area of a cube as a function of its volume v.

Answers

The surface area of a cube is:

S = 6l², making l the subject:
l = √(S/6)

While the volume is:

V = l³

If we substitute l to get:

V = (√(S/6))³

√(S/6) = ³√V

S/6 = (³√V)²

S = 6(³√V)² ⇒ 6V^(2/3)

What is latitude 20 degrees north and longitude 65 degrees west?

Answers

A position in the Caribbean Sea that is 20 degrees north latitude and 65 degrees west longitude is east of Central America and south of Bermuda. Typically, it is close to South America's northern shore.

In the Caribbean Sea, east of Central America and south of Bermuda, a position is indicated by latitude 20 degrees north and longitude 65 degrees west.

This geographic location is roughly located near South America's northern coast. It describes a place with tropical weather, lush habitats, and a wide variety of marine life.

Thus, the coordinates are important for navigation, weather monitoring, and regional research because they show how the Earth's geography is dynamic and how latitude and longitude interact to define certain places on our world.

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Latitude 20 degrees north and longitude 65 degrees west locate a point in the North Atlantic Ocean, northeast of the Caribbean Sea using the geographic coordinate system.

The question asks about a location defined by latitude 20 degrees north and longitude 65 degrees west. Latitude and longitude are part of the geographic coordinate system, which is used to pinpoint any location on the Earth's surface. Latitude indicates the position north or south of the equator and ranges from 0 to 90 degrees. Longitude, on the other hand, indicates the position east or west of the prime meridian, which runs through Greenwich, England, and ranges from 0 to 180 degrees. The coordinate pair provided corresponds to a point in the North Atlantic Ocean, northeast of the Caribbean Sea.

Silver solder is a mixture of 40 percent silver , 40 percent tin , 14 percent copper, and 6 percent zinc. Draw a graph that shows the composition of silver solder

Answers

Final answer:

Silver solder is an alloy with a specific percentage composition that can be graphically represented using a pie chart or bar graph. Alloys combine metals like silver, tin, copper, and zinc to create a material with properties superior to its individual components.

Explanation:

Silver solder is an alloy that consists of multiple metallic components, each with a specific percentage contributing to the total composition. To visually represent the composition of silver solder, one would typically use a pie chart or a bar graph. Given the percentages, we see that silver and tin each make up 40% of the alloy, followed by copper at 14%, and zinc at 6%.

In the making of alloys like silver solder, the individual elements such as tin (Sn) are often produced through processes such as the reduction of tin oxide (SnO₂) with carbon to yield molten tin, which is then drawn off and cast into blocks. The general properties of such elements, including metalloids and their compounds like boron and silicon, are critical to understanding the behavior and uses of the final alloy.

Alloys have properties that differ from those of their constituent metals; for example, they may be harder, more durable, or have better thermal or electrical conductivity. This is why they are often utilized in areas where such enhanced properties are desired.

Final answer:

Silver solder is a mixture of 40 percent silver, 40 percent tin, 14 percent copper, and 6 percent zinc. A graph that shows the composition of silver solder can be drawn using a bar graph or a pie chart.

Explanation:

Silver solder is a mixture of 40 percent silver, 40 percent tin, 14 percent copper, and 6 percent zinc. To draw a graph that shows the composition of silver solder, you can use a bar graph or a pie chart. In the bar graph, you can represent each element with a bar of the corresponding percentage. In the pie chart, you can divide a circle into four sections, each representing one component and its percentage.

Do tides depend more on the strength of gravitational pull or on the difference in strengths? explain.

Answers

Tides are influenced by the force of gravity exerted by the earth, moon and the sun. The sun has a larger mass than the moon and as such has a greater gravitational pull on the earth. the moon however has greater influence over the tides because they are caused by the difference in gravity fields. This means that the moon is the dominant influence due to the fact that the fractional difference in its force across the earth is greater than that seen from the sun. 
Final answer:

Tides are principally influenced by the difference in the Moon's gravitational pull on different parts of the Earth, called differential forces, rather than just the strength of the gravitational pull. The Sun's tidal force also impacts tides, but to a lesser extent. It's the differential forces that mainly shape tides.

Explanation:

Tides, the twice-daily rising and falling of the sea, are primarily influenced by the difference in the strength of the Moon's gravitational pull on different parts of the Earth, known as differential forces. These forces are caused by the fact that the Earth's parts are not all equally distant from the Moon. The side of Earth nearest the Moon is attracted more strongly, creating a distortion or stretch in the Earth represented by an oblate spheroid shape.

The Sun also exerts a tidal force, yet although its gravitational pull on Earth is nearly 200 times that of the Moon, the tidal effect of the Sun is less than that of the Moon due to relative distances and sizes. Depending on the relative positions of the Moon, Sun, and Earth, the net tidal effect can be amplified or attenuated.

Therefore, while both the strength of a gravitational pull and the differences in these strengths play a role, it is the differential forces - the differences in the Moon's gravitational pull on various parts of Earth - that primarily dictates the behavior of tides.

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Which of the following do not involve a direction?
Check all that apply.
A.Time
B.Velocity
C.Distance
D.Acceleration

Answers

I'm pretty sure the answer is D. The equation for acceleration is velocity divided by time. So the answer is D.
Final answer:

Time and Distance do not involve direction, as they are scalar quantities. Conversely, Velocity and Acceleration indicate both magnitude and direction, making them vector quantities.

Explanation:

In the context of physics, the terms listed have different implications with regards to direction. Specifically, options A (Time) and C (Distance) do not involve a direction.

Time is a scalar quantity, and it doesn't imply any specific direction. Similarly, Distance is a scalar measurement of the interval between two locations without concerning the direction of travel.

In contrast, both Velocity and Acceleration are vector quantities, meaning they have both magnitude and direction. Velocity is the displacement over time, indicating the rate at which an object changes its position, oriented towards the direction of displacement. Acceleration, on the other hand, depicts the rate of change of velocity, also factoring in the direction in which velocity is changing.

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You throw a beanbag in the air and catch it 2.2 s later at the same place at which you threw it. How high did it go? What was the initial velocity?

Answers

If the total trip took 2.2 secs, then it must took 1.1 secs to reach max height. 

We can then find the max height by realizing that the bag fell from rest and took 1.1 secs to come back to its launch point, we use formula:

hmax  = 1/2 gt^2 = 1/2 (9.8m/s/s)(1.1s)^2 
hmax =5.93m   (ANSWER)



To get the initial speed, we take that the vertical speed is zero at max height, and use 

vf^2=v0^2+2ad 

vf=final speed =0 
v0=intiial speed 
a=acceleration = -9.8m/s/s 
d=distance traveled =hmax= 5.93m 

0=v0^2+2(-9.8ms/s/)(5.93m) 
v0^2=2x9.8x5.93 
v0=10.8m/s  (ANSWER)

Ari, a young patient who is regularly treated by a psychiatrist, feels compelled to carry out repetitive tasks the same way very frequently. If Ari does not conduct these tasks with extreme precision, he can feel extremely nervous and uncomfortable.

Ari’s condition is most likely...
AD
DM
OCD
UTI

Answers

OCD would probably be the answer.

If Ari feels compelled  to carry out repetitive tasks the same way very frequently and  if he does not conduct these tasks with extreme precision, he can feel extremely nervous and uncomfortable then he must be going through c) OCD

What is OCD ?

OCD stands for Obsessive compulsive disorder is a mental health condition of obsessions and compulsions . It is a common and long lasting disorder in which a person has uncontrollable , reoccurring thoughts and behaviors that a person can feel the urge to repeat over and over .

hence , According to question Ari feels compelled  to carry out repetitive tasks the same way very frequently that means he feels uncontrollable and compelled / forced to do few tasks because of OCD.

and  if he does not conduct these tasks with extreme precision, he can feel extremely nervous and uncomfortable because of reoccurring thought of doing things over and over again

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The circumference of a bicycle wheel is 2 meters. if it rotates at 1 revolution per second then its linear speed is

Answers

Final answer:

The linear speed of a bicycle wheel with a circumference of 2 meters rotating at 1 revolution per second is 2 meters per second.

Explanation:

The question seeks to find the linear speed of a bicycle wheel given its circumference and rotation rate. The circumference of the bicycle wheel is 2 meters, and it rotates at 1 revolution per second. To calculate the linear speed, we use the relationship that the linear speed (v) is the circumference (C) divided by the period of rotation (T). Since the wheel completes one revolution per second, the period T is 1 second.

Therefore, the linear speed v is given by:

v = C/T

v = 2 meters / 1 second

v = 2 meters per second (m/s).

This calculation shows that if a bicycle wheel with a circumference of 2 meters rotates at 1 revolution per second, its linear speed is 2 m/s.



You have negotiated with the Omicronians for a base on the planet Omicron Persei 7. The architects working with you to plan the base need to know the acceleration of a freely falling object at the surface of the planet in order to adequately design the structures. The Omicronians have told you that the value is gOP7=7.29 flurg/grom^2, but your architects use the units meter/second^2, and from your previous experience you know that both the Omicronians and your architects are terrible at unit conversion. Thus, it's up to you to do the unit conversion. Fortunately, you know the unit equality relationships: 5.24 flurg=1 meter and 1 grom=0.493 second. What is the value of gOP7 in the units your architects will use, in meter/second^2?

Answers

5.72 m/s^2 First, we have available 2 conversion units. 5.24 flurg/m and 0.493 s/grom I chose the units to describe those two conversions by making the denominator equal to 1 in both cases, so there are 5.24 flurgs per meter and 0.493 seconds per grom. Now we've been given 7.29 flurg/grom^2 and we want to convert to m/s^2. So we need to figure out how to multiply or divide our conversion factors to cancel out the flurg and grom units. Let's see about cancelling the flurg unit 1st and replacing it with meters Let's try multiplication flurg/grom^2 * flurg/m = flurg^2/(m*grom^2) That won't work. So let's try division flurg/grom^2 / flurg/m = flurg/grom^2 * m/flurg = (m*flurg)/(grom^2 * flurg) The flurg on top and bottom, cancel, so = m/grom^2 So dividing by our length conversion will work correctly. Let's do it. 7.29 flurg/grom^2 / 5.24 flurg/m = 1.391221374 m/grom^2 Now we want to convert from m/grom^2 to m/(s grom) using our time conversion factor. Since we want s in the denominator and it's in the numerator, a division looks good. So m/grom^2 / s/grom = m/grom^2 * grom/s = (m*grom)/(grom^2 * s) = m/(grom * s) And it is good. So let's do it 1.391221374 m/grom^2 / 0.493 s/grom = 2.821950049 m/(grom s) We still have one more grom to get rid of. And since it's in the same place as the previous one, let's divide again. 2.821950049 m/(grom s) / 0.493 s/grom = 5.72403661 m/s^2 Since all our input is to only 3 significant figures, round the result to 3 significant figures. Giving 5.72 m/s^2

To convert the gravitational acceleration from flurg/grom² to meters/second², we use the relationships 5.24 flurg = 1 meter and 1 grom = 0.493 second. This results in a converted gravitational acceleration of 5.724 meters/second^2 on Omicron Persei 7.

To convert the gravitational acceleration from flurg/grom² to meters/second², we need to use the given unit equality relationships:

5.24 flurg = 1 meter

1 grom = 0.493 second

The given acceleration is 7.29 flurg/grom².

First, we will convert flurg to meters and grom to seconds:

Convert flurg to meters:

7.29 flurg/grom² is equivalent to (7.29 flurg / grom²) x (1 meter / 5.24 flurg)

= (7.29 / 5.24) meter / grom² = 1.391 meters/grom².

Convert grom² to seconds²: 1 grom = 0.493 seconds,

so (1.391 meters / grom²) x (1 grom² / (0.493 seconds)²)

= 1.391 / (0.493 x 0.493) meters / seconds²

= 1.391 / 0.243049 meters / seconds²

= 5.724 meters/second².

Therefore, the acceleration of a freely falling object at the surface of Omicron Persei 7 is 5.724 meters/second².

According to the uncertainty principle, if the position of a moving particle is known, what other quantity cannot be known?

Answers

The other quantity that cannot be known is velocity

A displacement vector has a magnitude of 810 m and points at an angle of 18° above the positive x axis. what are the x and y scalar components of this vector? x scalar component y scalar component

Answers

I attached my work and highlighted my answers. Hope it makes sense! please comment back with any questions if anything is still unclear! :)

The x and y scalar component of the displacement vector is 171.18 m and 55.62 m respectively

This question can be solved using the techneques of finding the x and y component of a vector

Vectors: These are quantity that can be measure both in magnitude and direction. E.g velocity, displement, acceleration, Force etc.

The formular for x component of a vector is given as

x = Rcos∅................ Equation 1

Where R = magnitude of the vector, ∅ = angle of inclination of the vector with the horizontal.From the question,Given: R = 810 m, ∅ = 18°Substitute these values into equation 1

       x = 180cos18

        x = 180(0.951)

        x = 171.18 m

Similarly, for the y component

         y = Rsin∅............... Equation 2

Substitute these values above into equation 2

        y = 180sin18

        y = 180(0.309)

       y = 55.62 m.

Hence, the x and y scalar component of the displacement vector is 171.18 m and 55.62 m respectively

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What average force is needed to accelerate a 9.20-gram pellet from rest to 125 m/s over a distance of 0.800 m along the barrel of a rifle?

Answers

Given:
u = 0, initial velocity
v = 125 m/s, final velocity
s = 0.0800 m, distance traveled
9.20 g, the mass of the pellet

If the acceleration is a, then
0² + 2*(a m/s²)*(0.800 m) = (125 m/s)²
1.6a = 15625
a = 9765.625 m/s²

Calculate the force.
F = (9.20 x 10⁻³ kg)*(9765.625 m/s²) = 98.84 N

Answer: 98.8 N (nearest tenth)

A pendulum has 366 J of potential energy at the highest point of its swing. How much kinetic energy will it have at the bottom of its swing?

Answers

968 j or kg because it cannot lose any of it energy and cannot gain any extra mass from nothing
Energy can neither be created nor destroy, it can only be transformed from one form to another form.
The potential energy possessed by the pendulum can not be destroyed, neither can more energy be added to it, but it can be converted from potential energy to kinetic energy.
So, at the bottom of the swing, the kinetic energy of the pendulum is going to be 366 J.

Some wooden rulers do not start with 0 at the edge, but have it set in a few millimeters. How could this improve the accuracy of the ruler?

Answers

It is possible for a wooden ruler to be worn out at the edge. If such a ruler is used for measurement, there will be error in the measurement due to the inaccuracy of the ruler. To avoid this, some rulers do not start with zero at the edge.
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