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. if the student can swim at a speed of 1.20 m/s in still water, how long does the trip take? compare this with the time the trip would take if the water were still.

Answers

Answer 1
Final answer:

The student would take approximately 33.6 minutes to swim 1 km upstream and then 1 km downstream. Comparatively, if the water were still, the round trip would only take about 27.8 minutes.

Explanation:

To calculate the time it takes for the trip upstream and downstream, we must consider the effect of the river's speed on the swimmer's speed.

Upstream: When the student swims upstream, the river speed works against his own speed. Here, we subtract the river's speed from the student's speed: effective speed = 1.20 m/s - 0.500 m/s = 0.700 m/s. The distance he covers is 1.00 km = 1000 m. The time taken going upstream is then t = Distance/Speed = 1000 m / 0.700 m/s = 1428.6 s.

Downstream: When swimming downstream, the river speed aids the student's speed. Now, we add the student's swimming speed to the river's speed: effective speed = 1.20 m/s + 0.500 m/s = 1.70 m/s. With the same distance to cover, the time taken to swim downstream is: t = 1000m / 1.70 m/s = 588.24 s.

In total, the round trip time amounts to: ttotal = 1428.6 s + 588.24 s = 2016.84 s, which is approximately 33.6 minutes.

If the water were still, the student would swim at his own speed both ways: t = 1000 m / 1.20 m/s = 833.33 s each way. So, the total round trip would take: ttotal = 833.33 s × 2 = 1666.66 s, or approximately 27.8 minutes.

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Answer 2

The round trip takes 2017 seconds with the current and 1666 seconds in still water. Swimming upstream and downstream times factor into this calculation.

To determine how long the trip takes for a student swimming upstream and then back downstream, we need to consider both the swimmer’s speed and the speed of the river current.

When swimming upstream:

Swimmer's speed relative to ground = Swimmer's speed in still water - River's speed = 1.20 m/s - 0.50 m/s = 0.70 m/s.

Time taken to swim upstream = Distance / Speed = 1000 m / 0.70 m/s = 1429 s.

When swimming downstream:

Swimmer's speed relative to ground = Swimmer's speed in still water + River's speed = 1.20 m/s + 0.50 m/s = 1.70 m/s.

Time taken to swim downstream = Distance / Speed = 1000 m / 1.70 m/s = 588 s.

Total time for the round trip = Time upstream + Time downstream = 1429 s + 588 s = 2017 s.

If the water were still, the student's speed would be 1.20 m/s in both directions:

Time for one direction in still water = Distance / Speed = 1000 m / 1.20 m/s ≈ 833 s.

Total time for the round trip in still water= 833 s + 833 s = 1666 s.

Therefore, it takes 2017 s to complete the trip with the current, compared to 1666 s without the current.


Related Questions

Describe the differences among ultraviolet waves, visible light waves, and infrared waves. how are these waves alike?

Answers

Our eyes are detectors which are designed to detect visible light waves (or visible radiation). ... The electromagnetic spectrum includes gamma rays, X-rays, ultraviolet, visible, infrared, microwaves, and radio waves. The only difference between these different types of radiation is their wavelength or frequency.

What is the momentum of an 8.8-kg bowling ball rolling at 3.0 m/s ?

Answers

Final answer:

The momentum of an 8.8-kg bowling ball rolling at 3.0 m/s is calculated using the formula p=mv, resulting in a momentum of 26.4 kg·m/s.

Explanation:

The momentum of an object can be calculated by multiplying the object's mass by its velocity. This is expressed by the equation p = mv, where p is the momentum, m is the mass, and v is the velocity.

In the case of the 8.8-kg bowling ball rolling at 3.0 m/s, the momentum can be calculated as follows:


Momentum (p) = Mass (m) × Velocity (v)
p = 8.8 kg × 3.0 m/s
p = 26.4 kg·m/s

Therefore, the momentum of the 8.8-kg bowling ball rolling at 3.0 m/s is 26.4 kg·m/s.

The image shows one complete cycle of a mass on a spring in simple harmonic motion.
 
Which describes the system at point D?

A.The velocity has the maximum upward value because the acceleration upward is at a maximum.

B.The net force is at a maximum in the downward direction, so the velocity begins to decrease.

C.The velocity is zero because the net force is zero.

D. The net force is zero, so the acceleration is zero.

Answers

Answer:

D. The net force is zero, so the acceleration is zero

Explanation:

In a simple harmonic motion, velocity and acceleration are out-of-phase as follows:

- When the displacement is zero (so, when the spring is in equilibrium position), the acceleration is zero, because the force is zero. In fact, the force is given by Hook's law:

[tex]F=-kx[/tex]

So, when x=0, F=0, and the acceleration is also zero according to Newton's second law:

[tex]a=\frac{F}{m}=0[/tex]

Instead, the velocity is maximum. In fact, the total mechanical energy (sum of kinetic and elastic potential energy) is constant, and since the elastic potential energy:

[tex]U=\frac{1}{2}kx^2[/tex]

is zero at x=0, this means that the kinetic energy is maximum. But the kinetic energy is

[tex]K=\frac{1}{2}mv^2[/tex]

and so, the velocity is also maximum.

- When the displacement is maximum, it is the opposite: the acceleration is maximum (because x is maximum, so the force is maximum), while the velocity is zero, because the elastic potential energy is maximum and so the kinetic energy is zero).

At point D, we are in the first situation (the spring is passing its position of equilibrium, so x=0), therefore the net force is zero and the acceleration is zero.

Answer:

D: The net force is zero, so the acceleration is zero

Explanation:

What unit is electronegativity measured in?

Answers

its called pauling units 

Electronegativity is measured on a relative, dimensionless scale known as the Pauling scale. The scale is based on the ability to attract electrons when forming covalent bonds, with fluorine set at 3.98 and other elements scaled against this value. The Pauling scale is the standard despite the abstract nature of electronegativity.

Electronegativity is measured on a relative scale called the Pauling scale. This scale was developed by Linus Pauling in the 1930s. On the Pauling scale, which is the most commonly used scale for measuring electronegativity, electronegativity is dimensionless and has no unit of measure. Fluorine, the most electronegative element, is set at a value of 3.98. All other elements are assigned values from 0 to 4.0 based on their relative ability to attract a bonding pair of electrons compared to fluorine.

The notion of electronegativity is crucial in understanding the chemical behavior of elements, particularly in the formation of covalent bonds. The higher the electronegativity value of an element, the more strongly it tends to attract bonding electrons. Fluorine's high electronegativity makes it an important reference point against which the electronegativities of other elements are measured.

Since electronegativity is an abstract property and cannot be measured directly, the Pauling scale is based on observable quantities such as the strengths of covalent bonds and molecular dipole moments. Different scales may use various methodologies, but the Pauling scale remains the standard for discussed trends in electronegativity.

What might happen to the continents if the Atlantic Ocean continues to expand because of movement along this ridge?

Answers

eventually, in many millions of years; the continents will form back together like pangea
Well, from a long time from know the continent will get smaller base on how much the Atlantic has expanded the continents will get smaller and the ocean will get bigger basically their will be a bigger ocean.

Force per unit area defines which of the following?

gravity

pressure

force

temperature

Answers

Pressure can be defined as the amount of force applied to a square unit area

The Answer is Pressure hope it helps

Ice does not need to melt into liquid water before it can return to the atmosphere as water vapor.

Answers

That only happens when the temperature is below freezing and the air around the ice is dry.

What part of an atom can change during a nuclear reaction but cannot change during a chemical reaction

Answers

the number of protons and neutrons. hope this helps (:

Answer:

The answer would be The number of protons and neutrons

Neutrons and protons cannot be removed from nucleus from chemical reactions because they are strongly held together but nuclear reactions are strong enough to separate them

Explanation:

Nuclear reactions involve a change in the nucleus of an atom, usually producing a different element. Chemical reactions, on the other hand, involve only a rearrangement of electrons and do not involve changes in the nuclei

A capacitor is charged to a potential difference of 12v it delivers 40% of its stored energy to a lamp what is the final potential difference across the capacitor

Answers

Call the capacitance C. 
Note the energy in a capacitor with voltage V is E =½CV². 

Initial energy = ½C(12)² = 72C 

40% of energy is delivered, so 60% remains.in the capacitor. 
Remaining energy = (60/100) x 72C =43.2C 

If the final potential difference is X, the energy stored is ½CX² 
½CX² = 43.2C 
X² = 2 x 43.2 = 86.4 
X = 9.3V
Final answer:

The final potential difference across the capacitor after delivering 40% of its stored energy to a lamp is approximately 9.49V.

Explanation:

The question asked is related to the energy stored in a capacitor and its link to the potential difference across it. The energy stored in a capacitor is given by the relation Uc = CV²/2, where C is the capacitance and V is the potential difference. When a capacitor delivers 40% of its stored energy to a lamp, this means a reduction in the stored energy and therefore a corresponding reduction in potential difference as well.

As the stored energy is directly proportional to the square of the potential difference, if the energy reduces to 60% (after delivering 40%), the final potential difference will be the square root of this fraction (sqrt(0.6)) times the initial potential difference. The final potential difference across the capacitor will therefore be sqrt(0.6) * 12V, which is approximately 9.49V.

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The purpose of biofeedback is to help subjects __________.
A) control their internal processes
B) understand how fear holds them back
C) determine whether they are sick
D)manipulate computers without a keyboard

Answers

A is the answer my friend.

The purpose of biofeedback is to help subjects "control their internal processes".


Biofeedback is a kind of treatment that utilizes sensors joined to your body to gauge key body capacities. Biofeedback is expected to enable you to take in more about how your body functions. This data may assist you with developing better power over certain body capacities and address wellbeing concerns.  

This feedback causes you center around rolling out inconspicuous improvements in your body, for example, loosening up specific muscles, to accomplish the outcomes you need, for example, decreasing agony. Generally, biofeedback enables you to utilize your musings to control your body, frequently to enhance a wellbeing condition or physical performance.

Calculate the energy in electron volts of X-rays that have a frequency of 3.00 × 1016 Hz.
A) 120 eV
B) 124 eV
C) 366 eV

Answers

Answer: 124eV Explanation: Apply Planck - Einstein Relation to calculate the energy of an X-Ray photon that has a frequency of 3.00 x 10^16 Hz and the energy of a photon is proportional to its frequency E= hv where E - the energy of the photon h - Planck's constant, equal to 6.626 x 10^-34 Js v - the frequency of the photon and 1 Hz is equal to 1 s^-1 Thus E= 1.988 x 10^-17J Now convert the energy of photon from joules to eV Therefore we get 1.988 x 10^-17J x ( 1 eV / 1.6022 x 10^-19 J) = 124 eV.

To calculate the energy of X-rays with a frequency of 3.00 × 10^16 Hz, use Planck's equation to find it to be approximately 124 eV.

The energy of X-rays with a frequency of 3.00 × 10^16 Hz can be calculated using Planck's equation:

E = hf

Given h (Planck's constant) = 6.626 × 10^-34 J-s and f (frequency) = 3.00 × 10^16 Hz, you can calculate the energy:

E = (6.626 × 10^-34 J-s) × (3.00 × 10^16/s) = 1.99 × 10^-17 Joules. Convert this to electron volts by dividing by the charge of an electron:

1 eV = 1.602 × 10^-19 Joules, so:

1.99 × 10^-17 J ÷ (1.602 × 10^-19 J/eV) ≈ 124 eV

Therefore, the correct answer is B) 124 eV.

1) mechanical
2) electrical
3) thermal
4) light
5) chemical

In this system,_________ energy from the moving water of the faucet turns the turbine. The _________ energy of the spinning turbine generates __________ energy which is transformed into __________ energy that causes the temperature of the water to increase. The water then becomes steam and gives off more _________ energy into the atmosphere.

Answers

I am pretty sure about these answers.Thermal goes in the 4th blank.
Mechanical goes in the 2nd blank.
Electrical goes in the 3rd blank.
I think chemical goes in the 1st blank and light goes in the 5th blank
Hope this helps
Final answer:

In this hydroelectric energy system, mechanical energy from the moving water turns the turbine, generating electrical energy. This electrical energy is then transformed into thermal energy, increasing the water's temperature. The water eventually becomes steam and releases more thermal energy into the atmosphere.

Explanation:

In this system, mechanical energy from the moving water of the faucet turns the turbine. The mechanical energy of the spinning turbine generates electrical energy which is transformed into thermal energy that causes the temperature of the water to increase. The water then becomes steam and gives off more thermal energy into the atmosphere.

Which of the following are in the correct order from smallest or largest?
A) milimeter, meter,centimer, kilometer
B) milimeter, centimer, meter, kilometer
C) centimer,milimeter, meter, kilometer
D) meter, milimeter, centimeter, kilometer.

Answers

B) millimeter, centimeter, meter, kilometer
the correct answer is C, millimeter, centimeter, meter, kilometer.

How do you solve this system of equations. x+y−z = 0 5.08x − 9.96y = 5.31 9.96y − 14.72z = −10.37?

Answers

Just know this:
x + y < or equal to z

Difference between contrition and compunction

Answers

Compunction is similar to an obligation; if you are "under compunction," then you are bound by some debt or sentence to do something. Repentance is actually an action rather than a feeling or condition: it is an act of the will which disowns whatever behavior you regret, and to repent implies a determination not to make the same mistake again. Contrition is the expressed emotion of being sorry for something; if you went to a person you had wronged, to make amends and ask their forgiveness, you would be "contrite" toward them. Remorse is simply another word for regret - you feel bad within yourself, either for what you did or for how the consequences affected you.

Contrition refers to sincere remorse for sins out of love for God, essential for forgiveness, while compunction is a sense of guilt or regret that may not be rooted in religious belief. The distinction between contrition and less perfect sorrow (attrition) has significant implications in the context of penance and making amends.

The concepts of contrition and compunction are often discussed in religious contexts, particularly within the Christian tradition involving the practice of penance and reconciliation. Contrition refers to heartfelt remorse for sins committed out of a love for God and a desire to change one's life. It has traditionally been seen as a deep and sincere form of penitence necessary for forgiveness in the eyes of God. In contrast, compunction is a feeling of unease or anxiety caused by guilt or regret for doing wrong or harming others, which may not necessarily be motivated by love for God but could arise out of fear of punishment or a desire to avoid negative consequences.

Throughout the Middle Ages, theologians made a distinction between contrition and a less perfect form of sorrow known as attrition, which could be transformed into contrition through the sacrament of penance. Moreover, a willingness to make amends is closely tied to feelings of remorse and sympathy, and is essential for a genuine apology or act of penance, indicating a person's desire to right their wrongs and align themselves with moral and divine expectations.

The metric system is based on units of

A: twenty five
B fives
C: sixteen
D: tens

Answers

The metric system is based on units of tens.

If you are looking for a material that is a good conductor, you will look for a material that will (2 points)

readily accept neutron flow.

resist neutron flow.

readily accept electron flow.

resist electron flow.

Answers

readily accept electron flow. this one 

what is the average of 84,56,92,73,and 45

Answers

The averge of those five numbers is 70
The answer would be 
70

When a star leaves the main sequence and expands toward the red giant region, what is happening inside the star?

Answers

The core of the star starts fusing heavier materials and expands to compensate. The star fuses materials until it reaches iron, and then when it reaches iron it either goes supernova, or collapses into a white dwarf, neutron, magnetar,
Or pulsar

Suspend a heavy weight by two pieces of rope. Tension is greatest when the ropes
A.) are vertical
B.) make a small angle to the vertical
C.) make a large angle to the vertical
D.) are in any position, as they each share half the weight

Answers

Assuming that the angle is the same for both ropes, then D. is the answer.  You have to consider also if the ropes are close together or far apart and if the force to move the object is in line with the ropes or perpendicular to them.
Final answer:

The tension in ropes supporting a weight is greatest when the ropes make a large angle to the vertical. The tension increases as the angle increases from the vertical, as the tension required to maintain equilibrium and support the weight increases.

Explanation:

The tension in a rope supporting a weight is greatest when the ropes make a large angle to the vertical (option C). This is due to the nature of the equation for tension, which involves both the weight being supported and the angle at which the rope(s) are positioned. As the angle increases, the vertical component of the tension decreases, which means the tension in the rope must increase to maintain equilibrium. Let's look at an example: if a 10kg weight is being supported by two ropes, each at an angle of 60 degrees to the vertical, the tension in each rope will be greater than if the ropes were vertical (0 degrees) as the vertical component of the tension needs to equal the weight to remain in equilibrium.

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A car travels in a straight line for 3.7 h at a constant speed of 71 km/h . what is its acceleration? answer in units of m/s 2 .

Answers

Answer:

a=0 m/s2

Explanation:

t=3,7 h=13320 s

v=const=71 km/h=19,7222 m/s ( 71*1000 m/2600 s=19,7222222 m/s)

if the speed is constant

a=Δv/Δt

since Δv= 0m/s since the speed is constant...

if the speed would rise from 0 m/s to 19.72222m/s

then a=(19.7222 m/s)/13320 s

a=0.00148 m/s2

A car travels in a straight line for 3.7 h at a constant speed of 71 km/h . what is its acceleration? answer in units of m/s 2

beth walked to the school in 80 seconds from a position 100 m west of the school. what was her velocity?

Answers

1.8 meters a second

100/80

A large rock has a mass of 50 kg and is rolling downhill at 3 m/s. What is its momentum?

Answers

The formula of a momentum
P = mv
m= 50 kg
v=3m/s
P =50 x 3
P= 150 kgm/s.

The momentum of the large rock that has a mass of 50kg and is rolling downhill at 3 m/s is 150kgm/s.

HOW TO CALCULATE MOMENTUM:

The momentum of the rock can be calculated by multiplying the mass of the rock by its velocity:

Momentum (p) = mass (kg) × velocity (m/s)

According to this question, a large rock has a mass of 50 kg and is rolling downhill at 3 m/s. The momentum is calculated as follows:

Momentum (p) = 50kg × 3m/s

Momentum (p) = 150kgm/s

Therefore, the momentum of the large rock that has a mass of 50kg and is rolling downhill at 3 m/s is 150kgm/s.

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Amil takes a car trip through the mountains. He drives 25 miles in 30 minutes to get to an outlook. What is the average speed, in meters per second rounded to the nearest hundredth, of Amil's trip to the outlook, if 1 mile is equal to 1609 meters?

Answers

d = 25 miles, the distance driven
t = 30 minutes, the time taken for the drive.

In SI units,
1 mile = 1609 meters.
Also,
1 minute = 60 seconds.

Therefore
d = (25 mi) * (1609 m/mi) = 40225 m
t = (30 min) * (60 s/min) = 1800 s

By definition, the average speed is
v = d/t
   = (40225 m)/(1800 s)
   = 22.3472 m/s

Answer:  22.35 m/s (nearest hundredth)

Final answer:

To find the average speed of Amil's trip to the outlook, we convert the distance and time units and use the formula Average Speed = Distance / Time. The average speed of Amil's trip is 22.35 meters per second (rounded to the nearest hundredth).

Explanation:

To find the average speed of Amil's trip, we can use the formula:

Average Speed = Distance / Time

Amil drove 25 miles in 30 minutes to get to the outlook. To convert the distance from miles to meters, we use the conversion factor: 1 mile = 1609 meters. So, 25 miles is equal to 25 x 1609 = 40225 meters. To convert the time from minutes to seconds, we multiply 30 minutes by 60 to get 1800 seconds. Now we can calculate the average speed:

Average Speed = 40225 meters / 1800 seconds

Average Speed = 22.35 meters per second (rounded to the nearest hundredth).

Which object provides an inertial frame of reference? which object provides an inertial frame of reference? the tip of the moving second hand of a clock a rock thrown vertically upward a pendulum swinging with no air resistance a skydiver falling at terminal velocity?

Answers

Final answer:

The object that provides an inertial frame of reference is the skydiver falling at terminal velocity, as it is a scenario where the object moves at constant velocity with no net external force acting upon it.

Explanation:

An inertial frame of reference is defined as a reference frame in which an object either remains at rest or moves at a constant velocity, provided no external forces are acting upon it. Among the options given, the skydiver falling at terminal velocity provides an inertial frame of reference. Terminal velocity is a constant speed reached by an object when the drag force from the air resistance is equal to the force of gravity, causing no net force on the skydiver and thus no acceleration. The other objects are either accelerating or experiencing changing velocities which disqualify them as inertial reference frames.

How much longer does it take to inflate a balloon to a diameter of 28 inches instead of a diameter of 7 inches. assume the rate that air enters is constant?

Answers

When inflating the balloon to a diameter of  7 inches, the final volume is
V₁ = (4/3)π*(7/2 in)³ = 57.1667π in³

When inflating the balloon to a diameter of 28 in, the final volume is
V₂ = (4/3)π*(28/2 in)³ = 3658.7π in³

If the rate of air entry into the balloon is constant, then
V₂/V₁ = 3658.7/57.1667 = 64

Answer: it takes 64 times longer.
It takes 64 times longer to inflate a balloon to a diameter of 28 inches instead of a diameter of 7 inches.

If you have a soccer field with a length of 25 yards and a width of 50 yards what is the area?

Answers

Answer:

1250 SQUARE YARDS

Explanation:

The area of the soccer field given the data from the question is 1250 yard²

Area of rectangle

Area = Length × Width

How to determine the area of the rectangleLength = 50 yardWidth = 25 yard Area =?

Area = Length × Width

Area = 50 × 25

Area = 1250 yard²

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What word doesn't belong: planet, galaxy, sun, moon?

Answers

Answer:  "galaxy" .
_____________________________________________
Explanation:  "galaxy" is "all-encompassing" of the other words given; so it doesn't belong.
_____________________________________________

Galaxy is "all-encompassing" of the other words given so it doesn't belong.

What is galaxy?

A galaxy is a collection of stars, stellar remnants, interstellar gas, dust, and dark matter that is gravitationally bound. The name comes from the Greek word galaxias, which translates to mean "milky" and refers to the Milky Way galaxy, which houses the Solar System.

Given in the question  word doesn't belong: planet, galaxy, sun, moon

So, we can see "galaxy" is "all-encompassing" of the other words given, so it does not belong.

Galaxy is "all-encompassing" of the other words given so it doesn't belong.

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What is the energy of a wavelength of light of 550 nm?

Answers

Final answer:

The energy of a wavelength of light of 550 nm is 3.03 x 10^-19 Joules.

Explanation:

The energy of a wavelength of light can be calculated using the equation E = hc/λ, where E is the energy, h is Planck's constant (6.626 x 10^-34 J.s), c is the speed of light (3 x 10^8 m/s), and λ is the wavelength. In this case, the wavelength of light is 550 nm (or 550 x 10^-9 m). Plugging in these values into the equation, we get:

E = (6.626 x 10^-34 J.s) x (3 x 10^8 m/s) / (550 x 10^-9 m) = 3.03 x 10^-19 J

Therefore, the energy of a wavelength of light of 550 nm is 3.03 x 10^-19 Joules.

Which of the following is not a simple machine?

A. inclined plane

B. a screw

C. a bike

D. a lever

Answers

The answer would be
B
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