what are the units for the spring constant,k?

Answers

Answer 1

Answer:

[tex]\frac{kg}{s^2}[/tex] or [tex]\frac{N}{m}[/tex]

Explanation:

The force in a spring is described as (F) = (k) x (d) with (d) being the displacement, measured in meters. (F) is to come out in Newtons. So (k) is assigned the appropriate unit for that to happen. The two possibilities listed above achieve that.


Answer 2

Answer:

The units for the spring constant k is [tex]\frac{kg}{s^2}\ \text{or}\ \frac{N}{m}[/tex].

Explanation:

According to hooks law:

[tex]F=-kx[/tex]

Where F is a force, k is spring constant and x is distance.

Here, the negative sign of the force of the spring, which implies the force of the spring, is opposed to the displacement of the spring.

Now in order to find the units for spring constant k, ignore the negative sign as we are looking only at the magnitude.

[tex]F=kx[/tex]

[tex]\frac{F}{x}=k[/tex]

Therefore,

[tex]\frac{kg}{s^2}\ \text{or}\ \frac{N}{m}[/tex]

Hence, the units for the spring constant k is [tex]\frac{kg}{s^2}\ \text{or}\ \frac{N}{m}[/tex].


Related Questions

Conservation of energy

Answers

Answer:

It is the fundamental concept of physics.It states that total amount of energy in a system remains constant in isolated system. This means energy can neither be created nor it can be destroyed but can change from  one form to another.Energy can change from kinetic to potential energy, and back without reducing the total energy.


1. Set frequency of wave generator to 5Hz.
2. Set amplitude of wave generator to 1cm.
3. Place the barriers 10cm from the wave generator.
4.
5. Sketch the diffraction pattern observed.

What should be step 4?

Answers

Separate the barriers so they have a 2cm gap between them.

Answer:

Separate the barriers so they have a 2cm gap between them.

Explanation:

Changing the spacing between the barriers will alter the diffraction pattern.

How long does it take a 1.51 × 10^4 W steam engine to do 8.72 × 10^6 J of work? Round your answer to three significant figures. 1.02 × 10^1 s 5.77 × 10^2 s 7.21 × 10^5 s 1.32 × 10^11 s

Answers

Answer:

5.77 × 10^2 s

Explanation:

Power is defined as the amount of work done divided by the tima taken to do that work:

[tex]P=\frac{W}{t}[/tex]

where W is the work done and t the time taken.

In this problem, we have:

- the power: [tex]P=1.51 \cdot 10^4 W[/tex]

- the work done: [tex]W=8.72 \cdot 10^6 J[/tex]

So we can re-arrange the previous equation to find the time taken:

[tex]t=\frac{W}{P}=\frac{8.72 \cdot 10^6 J}{1.51 \cdot 10^4 W}=5.77\cdot 10^2 s[/tex]

Answer:

B) 5.77 × 10^2 s

Explanation:

Describe the transformation of mechanical energy in a ball when it is thrown straight up and then comes back down

Answers

I believe that the mechanical energy would transform from starting out as kinetic, the reaching the top it would be potential, then go back to kinetic as it is falling back down.


I'm not 100% sure that this is right but if I had to take a guess this is what I would say.
Final answer:

The ball's mechanical energy transforms from kinetic to gravitational potential as it is thrown up and slows down, and from gravitational potential back to kinetic as it falls down, increasing in speed.

Explanation:

When a ball is thrown straight up, it undergoes a series of energy transformations involving mechanical energy. Initially, the ball has kinetic energy as it moves upwards. As it rises, this kinetic energy is gradually converted into gravitational potential energy due to the influence of Earth's gravity. The kinetic energy decreases because the ball slows down, and at the peak of its trajectory, its velocity is zero, so all of the kinetic energy has been converted into gravitational potential energy.

As the ball starts to fall back down, the gravitational potential energy begins to convert back into kinetic energy. The ball accelerates due to gravity, increasing its speed as it descends. By the time the ball reaches the hand of the thrower or the ground, nearly all of the gravitational potential energy has been transformed back into kinetic energy (assuming no energy is lost due to air resistance or other non-conservative forces). The ball's speed upon impact will be roughly the same as the speed it had when it was initially released, again depending on air resistance and other factors.

What is the force of friction between the dragsters tires and the track if the dragster mass is 300kg and the coefficient of the friction force is 0.8

Answers

Final answer:

The force of friction between the dragster's tires and the track is 2352 newtons, calculated using the formula F=μN with the given mass of 300kg and the coefficient of friction 0.8.

Explanation:

The force of friction between the dragster's tires and the track can be calculated using the formula F=μN, where F is the frictional force, μ is the coefficient of friction, and N is the normal force. In this case, the normal force is equal to the weight of the dragster, which is the mass (m) times the acceleration due to gravity (g), N = mg. Given that the mass (m) is 300kg and the coefficient of friction (μ) is 0.8, the force of friction can be calculated as:

F = μ × mg = 0.8 × 300kg × 9.8m/s² = 2352N

Therefore, the force of friction is 2352 newtons (N).

which obstacle to problem solving involves arriving at a solution based on your preconceptions and ignoring any evidence that goes

Answers

Answer:

confirmation bias

Explanation:

the tendency to interpret new evidence as confirmation of one's existing beliefs or theories in a way that affirms one's prior beliefs or hypotheses.

Final answer:

Cognitive bias involves arriving at solutions based on preconceptions and ignoring conflicting evidence.

Explanation:

Problem-Solving Obstacles: Cognitive Bias

The obstacle to problem solving that you're referring to is commonly known as cognitive bias. Cognitive bias is a mental error that occurs when individuals hold onto their preconceptions, even when presented with new information that challenges those beliefs. This bias makes it difficult for individuals to process information in an unbiased manner, leading to deficits in problem-solving and decision-making.

Confirmation bias is a specific type of cognitive bias that involves seeking or interpreting evidence in ways that are partial to existing beliefs, expectations, or a hypothesis in hand. It represents a tendency to favor information that confirms one's preconceptions or hypotheses regardless of whether the information is true.

As a result, people afflicted with confirmation bias may disregard or undervalue evidence that contradicts their existing views, leading to a form of intellectual blinders.

Another related concept is the need for closure, which describes an individual's desire for a firm answer to a question, leading them to seek conclusions that feel satisfying rather than necessarily accurate. Both confirmation bias and the need for closure can lead to biased problem-solving, where a person's desire to reach a particular conclusion can cause them to overlook or ignore relevant information that does not align with their existing beliefs.

Why is the specific heat capacity of the human body close to, but somewhat less than, that of water?

Answers

Answer:

Because most of the human body (about 70% of it) consists of water

Explanation:

The main reason why the specific heat capacity of the human body is very close to that of water is that water makes approximately 70% of the substances of which the human body consists. However, the human body has a slightly smaller specific heat capacity than water, because it contains also other elements/substances, and since water is one of the substances with the higher specific heat capacity at all, the specific heat capacity of the body is a bit smaller.

Final answer:

Water has a specific heat capacity close to, but somewhat less than, that of the human body. The high specific heat capacity of water is due to the hydrogen bonding between water molecules.

Explanation:

Water has a specific heat capacity that is close to, but somewhat less than, that of the human body. The specific heat capacity of a substance is the amount of heat required to raise the temperature of one gram of that substance by one degree Celsius. Water's specific heat capacity is about 4,184 J/kg/°C, while the specific heat capacity of the human body is approximately 3,500 J/kg/°C.

The high specific heat capacity of water is due to the hydrogen bonding between water molecules. These hydrogen bonds require a significant amount of energy to break, resulting in water's ability to absorb and retain heat. This property is beneficial for warm-blooded animals, like humans, as it helps regulate body temperature and prevents rapid temperature changes.

An apple drops from a tree and hits the ground in 1.5s what is its speed just before it hits the ground?

Answers

Vf - Vo = gT  

where  

Vf = velocity of apple just before hitting the ground  

Vo = initial velocity of apple = 0  

T = time for apple to hit the ground = 1.5 sec (given)  

g = acceleration due to gravity = 9.8 m/sec^2 (constant)  

Substituting appropriate values,  

Vf - 0 = 9.8(1.5)  

Vf = 14.7 m/sec.  


Just before it hits the ground, the apple's speed is approximately 14.715 meters per second.

To find the speed of the apple just before it hits the ground, we can use the equations of motion.

When an object falls freely under the influence of gravity, its speed increases due to acceleration.

The equation to calculate speed is:

Speed (v) = Initial Speed (u) + (Acceleration (a) × Time (t))

Assuming the apple falls from rest (initial speed, u, is 0), and the acceleration due to gravity on Earth is approximately 9.81 [tex]m/s^{2}[/tex], and the time it takes to hit the ground is 1.5 seconds, we can calculate:

v = 0 + (9.81 [tex]m/s^{2}[/tex] × 1.5 s) = 14.715 m/s

So, just before it hits the ground, the apple's speed is approximately 14.715 meters per second.

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If V = 10V, what value of R would limit I to 10mA? (If you have 10 volts, what resistance would be needed to limit the current to 10 milliamps)

Answers

Answer:

[tex]1000 \Omega[/tex]

Explanation:

The relationship between voltage, resistance and current in a circuit is given by Ohm's law:

[tex]V=RI[/tex]

where

V is the voltage

R is the resistance

I is the current

In this problem, we have:

V = 10 V

R = ?

I = 10 mA = 0.010 A

Therefore, we can re-arrange the equation to find R:

[tex]R=\frac{V}{I}=\frac{10 V}{0.010 A}=1000\Omega[/tex]

The government has declared that a hurricane is likely to hit the East Coast. Which government division is part of ACF and provides guidance to citizens?
A.
Job Opportunities for Low-Income Individuals
B.
Office of Human Services Emergency Preparedness and Response
C.
Assets for Independence
D.
Low-Income Home Energy Assistance Program

Answers

The Answer is B) Office of Human Services Emergency Preparedness and Response


Car A (1750 kg) is travelling due south and car B (1450 kg) is travelling due east. They reach the same intersection at the same time and collide. The cars lock together and move off at 35.8 km/h[E31.6 S]. What was the velocity of each car before they collided?

Answers

Consider the east-west direction along x-axis and north-south direction along y-axis. In unit vector notation, velocities can be given as

[tex]\underset{V_{A}}{\rightarrow}[/tex] = velocity of car A before collision = 0 i - [tex]V_{A}[/tex] j

[tex]\underset{V_{B}}{\rightarrow}[/tex] = velocity of car B before collision = [tex]V_{B}[/tex] i + 0 j

[tex]\underset{V_{AB}}{\rightarrow}[/tex] = velocity of combination after collision = (35.8 Cos31.6) i - (35.8 Sin31.6) j = 30.5 i - 18.8 j

[tex]M_{A}[/tex] = mass of car A = 1750 kg

[tex]M_{B}[/tex] = mass of car B = 1450 kg

Using conservation of momentum

[tex]M_{A}[/tex]  [tex]\underset{V_{A}}{\rightarrow}[/tex] + [tex]M_{B}[/tex]  [tex]\underset{V_{B}}{\rightarrow}[/tex] = ([tex]M_{A}[/tex] + [tex]M_{B}[/tex]) ( [tex]\underset{V_{AB}}{\rightarrow}[/tex] )

(1750) (0 i - [tex]V_{A}[/tex] j) + (1450) ([tex]V_{B}[/tex] i + 0 j) = (1750 + 1450) (30.5 i - 18.8 j)

(1450) [tex]V_{B}[/tex] i - (1750) [tex]V_{A}[/tex] j = 97600 i - 60160 j

Comparing the coefficient of "i" and "j" both side

(1450) [tex]V_{B}[/tex] = 97600    and - (1750) [tex]V_{A}[/tex] = - 60160

[tex]V_{B}[/tex] = 67.3 km/h        and  [tex]V_{A}[/tex] = 34.4 km/



A 100.-kilogram cart accelerates at 0.50 meter per second squared west as a horse exerts a force of 60. Newtons west on the cart. What is the magnitude of the force that the cart exerts on the horse?

Answers

The force exerted on the cart of the horse is equal to the force exerted by the horse on the cart, so its magnitude is 60N

Answer:

The magnitude of the force on the horse by the cart is 60 N.

Explanation:

Given that,

mass of cart = 100 kg

Acceleration of cart = 0.50 m/s²

Horse exerted force on a cart F= 60 N

The cart is moving by the force is defined as:

[tex]F' = ma[/tex]

[tex]F' = 100\times0.50[/tex]

[tex]F' = 50\ N[/tex]

The cart is moving by the 50 N force.

But according to newton's third law,

Newton's third law is action reaction law.

When we exerted the force on the object then the object exerted same force but opposite direction.

Therefore,

A horse exerted the force on the cart and the cart exerted equal but opposite force on horse.

F=-F''

F = -60 N

So, The magnitude of the force is 60 N

Hence, The magnitude of the force on the horse by the cart is 60 N.

What regions contain the largest concentration of oil wells

Answers

Answer:

Middle East, North America,  Russia and the Former Soviet Union, South America, Africa

Explanation:

1. Middle East: The Middle East is one of the most significant regions for oil production, with countries like Saudi Arabia, Iraq, Iran, Kuwait, and the United Arab Emirates being major oil producers.

2. North America: Within North America, the United States and Canada have large concentrations of oil wells, particularly in states like Texas, Oklahoma, Alaska, and provinces like Alberta.

3. Russia and the Former Soviet Union: Russia is a major oil-producing country, and during the time of the Soviet Union, several other countries in the region also contributed significantly to oil production.

4. South America: Countries like Venezuela and Brazil have significant oil reserves and production.

5. Africa: Countries like Nigeria, Angola, and Algeria have substantial oil production.

The is a measurement unit for intensity of sound. a) meter b) decibel c) degree

Answers

Answer: decibel

It is the unit of sound abbreviated as dB. It is also defined as Power per square meter, Therefore intensity of sound expressed in Watt per square meter (W/m2).

Decibel (dB)is the unit of expressing the ratio between two physical quantities, usually amounts of acoustics or electric power or measuring the relative loudness of sounds.

If your using GradPoint or NovaNet,

your answer would be (B) decibel.

I hope this helped!

What happens when two forces act in the same direction?

Answers

When two forces act in the same direction they add together. Equal forces acting in opposite directions are called balanced forces. Balanced acing on a object wont change the objects motion. When you add equal forces in opposite directions the net force is going to be zero.

PLS HELP WILL GIVE 20 POINTS. I just need C.

Answers

I'm not sure but i think it's solution.
Solution which is a homogeneous mixture

clothes dryer uses about 3:00 amps of current from a 240-volt line how much power does it use

Answers

Electrical power is defined as

P = I * V

I = 3 amperes

V = 240 volts

Power = 3 * 240

Power = 720 Watts. Answer

Two liquids are poured into two cups. Cup A contains a colorless, odorless liquid. Cup B contains a colorless liquid with a strong odor. An ice cube floats in Cup A but sinks in Cup B. When heated, the liquid in Cup B boils at a much lower temperature than the liquid in Cup A. What kind of properties are used to compare the two liquids? A) visible B) chemical C) physical D) phase change

Answers

the correct answer is C. physical

Answer:

c physical

Explanation:

Physical properties are used to compare the two liquids. Both water and rubbing alcohol have the same clear color while their boiling points, odor, and densities are all different.

you pull down on a rope to raise a flag on a flag pole which describes why the rope and the flag pole act as a machine
A-they change the direction of the forces
B-they increase the distance over which the force acts
C- they decrease the distance over which the force acts

Answers

Answer: A-they change the direction of the forces

Explanation:

Any device which makes our work simpler is known as a machine. A machine may increase the amount of output force which is determined by its mechanical advantage or a machine changes the direction of the force.

In the given situation the input force acts in the downward direction to pull the rope. The output force acts on the flag being pulled upwards at the other end. Thus, the direction of the forces varies. Correct option is A.

Answer:

A-they change the direction of the forces

Explanation:

A race car travel on a racetrack at 44m/s and slows down at a constant rate to a velocity of 22m/s over 11s. How far does it move during this time

Answers

Final answer:

The race car moves a distance of 363 meters during the given time period.

Explanation:

To calculate the distance the race car moves during the given time, we can use the formula:

distance = initial velocity * time + 0.5 * acceleration * time^2

Given that the initial velocity of the car is 44 m/s and it slows down to a velocity of 22 m/s over 11 s with a constant acceleration, we can substitute these values into the formula:

distance = 44 * 11 + 0.5 * acceleration * 11^2

To find the acceleration, we can use the formula:

acceleration = (final velocity - initial velocity) / time

Substituting the values, the acceleration is:

acceleration = (22 - 44) / 11 = -2 m/s^2

Now we can substitute the acceleration value into the distance formula:

distance = 44 * 11 + 0.5 * (-2) * 11^2

Simplifying the equation, we get:

distance = 484 - 121

distance = 363 meters

what is the average speed of a cheetah that runs 88m in 5 seconds?

Answers

17.6 m/s hope this helps

The average speed of a cheetah that runs 88 meters in 5 seconds is 17.6 meters per second.

What is Average speed?

The average speed can be defined as the total distance traveled by the object in a particular time interval. The average speed is a scalar quantity because it is represented by only the magnitude and does not have the direction. The SI unit for average speed is m/s or ms⁻¹.

The formula for determining average speed is:

Average speed = Distance covered by the object/ Total time taken

Average speed = 88m / 5sec

Average speed = 17.6 m/s

Therefore, the average speed of the cheetah is 17.6 meters per second.

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A dog weighs 260 Newtons. What is her mass?

Answers

260 Newtons equals 26.51 Kg, or 58.44 lbs.


Hope this helps!

In the diagram of the conical pendulum below, which number (1, 2, 3, or 4) represents the angle θ used in the conical pendulum equation Error connecting to the latex translator service.

Answers

Step 1: Look in your book or online for the conical pendulum equation.

Step 2: Look at the drawing and see which angle is involved in the equation.

Answer: It's Angle #2 in your drawing.

Final answer:

The angle θ in a conical pendulum often represents the angle between the vertical line (pendulum string at rest) and the slanted line (pendulum string in motion). It is crucial in calculating aspects of the pendulum's motion using the conical pendulum equation.

Explanation:

In the context of a conical pendulum, the angle θ typically represents the angle between the vertical line (the length of the pendulum string when at rest) and the slanted line (the length of the pendulum when it is in motion). Without a specific diagram to reference, it's difficult to state with certainty which number (1, 2, 3, or 4) would represent θ. However, commonly in diagrams of conical pendulums, θ is represented by the angle between the vertical dashed line and the string of the pendulum when it is being pulled sideways, creating a conical shape. In trigonometry, this angle θ is important when calculating various aspects of the pendulum's motion using the conical pendulum equation. This angle is typically small, hence, allowing for the small angle approximation sin θ ≈ θ can be used in small-angle cases.

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Which of the following is considered a calm area close to the equator resulting in little to no wind?

Question 3 options:

trade winds


polar easterlies


doldrums


prevailing westerlies

Answers

Right answer: Doldrums

These are also called zones of equatorial calm and it is due a climatic phenomenon that is placed near the Earth equator, attributed to the soft winds, that are called calm winds as well; accompanied by systems of abundant rains and heat.

In this area periods of great calm occur when the winds virtually disappear completely, trapping the sailing ships for long periods (days or weeks). This is why the term doldrum became popular as a colloquial expression in the eighteenth century, to refer to "the caprice of the wind that slows down the navigation to sail".


The zone is located in the place where two trade winds meet, this means the trade winds of the northern hemisphere converge with those of the southern hemisphere, that is why this region is related to the intertropical convergence zone.


If a 100Ib women walks up a flight of stairs to get to the top of a 100 meter building. How much work did she perform?

Answers

Given that

force ( F) = 100 lb ,

displacement (S) = 100 m ,

Determine , Work = ?

                     Work = Force × displacement

                           W = 100 ×  100

                           W = 100000 lb-m

Which of the following represents the region where molten magma rises to just underneath the surface of earth create Volcanic Activity
A. Accretion
B. Fault
C. Hotspot
D. Mid-Ocean ridge

Answers

Answer: The correct answer is an option (C).

Explanation:

Hotspot : These are the volcanic regions which are fed by the mantle layer of an earth.  Due to high temperature and low pressure in mantle of an earth leads to the melting of the rocks and this molten form of rock is known as magma. This magma rises through cracks and erupts out from volcanoes.

Accretion : A process of addition of a material to a tectonic plate or a landmass.

Fault : It is a crack in an earth crust.They linked with or form , the boundaries present between the earth's tectonic plates.

Mid-Ocean ridge: An elevated region on an ocean floor or we can say underwater mountain range formed on the ocean floor by the movement of tectonic plates.


Answer:

C

Explanation:

I am smart

what advantage does white fur give the arctic fox in the winter?

Answers

It allows it to blend in with the environment and avoid predators.

Длина лодки=6 метров человек, масса которого в 2 раза меньше массы лодки переходит с носа на карму определить, на какое расстояние переместилась лодка, если сопротивление воды пренебречь?

Answers

mv'=(M+m)v

v'=d/t

v=x/t

m'=M/2

Md/2t=(M+M/2)x/t

Md/2=3Mx/2

d=3x=>x=d/3=6/3=2 m

Final answer:

The boat and the person moving in opposite directions is a result of the principle of conservation of momentum. The man's mass being half of the boat means the boat will compensate for his movement to conserve the total momentum, shifting in the opposite direction. However, the exact distance can't be determined without more details due to factors like water resistance.

Explanation:

In this case, we're dealing with a Physics problem. The topic is principle of conservation of momentum, which refers to the total momentum of an isolated system remaining constant if no external forces act on it.

As the total momentum of the system (boat and person) remains constant, the boat and the person move in such a way that their total momentum is preserved. The man's mass being half of the boat indicates that when the man moves to one end, the boat will shift by a certain distance in the opposite direction to conserve momentum.

However, as the resistance of water is neglected, we cannot calculate the exact distance the boat moves without more data. In real life, there are many factors like water resistance and the distributed mass of the boat that need to be accounted.

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A helicopter has a mass of 1500kg. The rotation of the rotor blades cam produce a maximum upwards force of 20000N
(a)Find the amount of upward force required to keep the helicopter at a constant height.
(b)What is the maximum upwards acceleration of the helicopter?

Answers

Let's see if I remember this...

a) You are determining the amount of normal (upward) force that must be applied in order to counter the gravitational force of the helicopter. You may use the Fnet equation in order to solve this (note how Fnet = 0 as the helicopter is not accelerating if it is staying still in the air).

    Fnet = Fg + F(up)

         0 = Fg + F(up)

         0 = mg + F(up)

         0 = 1500 kg(9.8 N/kg [down]) + F(up)

  -F(up) = 1500 kg(9.8 N/kg [down])

  -F(up) = 14700 [down]

   F(up) = 14700 N [up]

Therefore, the amount of upward force required to keep the helicopter at a constant height is 15000 N [up]. (Using significant digit rules).

b) You are determining the acceleration of the net force to figure out the maximum upward acceleration of the helicopter. You may use the Fnet equation in order to solve this.

        Fnet = Fg + F(up)

          ma = mg + F(up)

1500kg(a) = 1500kg(9.8 N/kg [down]) + 20000N [up]

1500kg(a) = 14700 N [down] + 20000N [up]

1500kg(a) = 14700 N [down] - 20000N [down]

1500kg(a) = -5300 N [down]

1500kg(a) = 5300 N [up]

              a = 0.28301 m/s² [up]

Therefore, the maximum upwards acceleration of the helicopter would be 0.3 m/s² [up]. I am not too sure if I have done significant digit rules correctly for this question, but I hope I helped!

A daring 510N swimmersdives off a cliff with a running horizontal lead.what must be her mimimum speed just as she leaves the top of cliff so that she will miss the ledge at the bottom which is 1.75 m wide and 9m below the top of cliff

Answers

looks like its projectiles = swimmer. see encls may help

Answer:

The running horizontal speed should be larger than 1.29 m/s.

Explanation:

In order for the swimmer to just miss the bone-breaking ledge, her horizontal speed must be

[tex]v > \frac{1.75m}{t_{fall}}[/tex]

in which we need to know how long we she be diving through the air. To determine that, recall the formula for the distance made by an object with acceleration (in this case it is the gravitational acceleration) with no initial (vertical) velocity:

[tex]s = \frac{1}{2}gt^2[/tex]

from which it follows that (for non-negative t)

[tex]t = \sqrt{\frac{2\cdot9m}{9.8\fram{m}{s^2}}}\approx1.36s[/tex]

This result can be used in the initial inequality:

[tex]v > \frac{1.75m}{t_{fall}}=\frac{1.75m}{1.36s}=1.29\frac{m}{s}[/tex]

The diving lady better gets a speed larger than 1.29 m/s to avoid landing on the ledge.

Other Questions
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