View PoliciesCurrent Attempt in ProgressYou are working out on a rowing machine. Each time you pull the rowing bar (which simulates the oars) toward you, it moves a distance of 0.880 m in a time of 1.70 s. The readout on the display indicates that the average power you are producing is 101 W. What is themagnitude of the force that you exert on the handle?

Answers

Answer 1

Based on the data, you have the distance, power, and time, we need a formula to relate this information with the force

\(\begin{gathered} Power=\frac{Energy}{time} \\ P=\frac{F\cdot d}{t} \end{gathered}\)

With this formula you have the relation between the information and the force, now we have to find the value of the force

\(F=\frac{P\cdot t}{d}=\frac{101W\cdot0.88m}{1.7s}=52.28N\)


Related Questions

two object A and B vertically thrown upward with velocities of 80m/s and 100m/s at two seconds interview where and when will the two object meet.​

Answers

Answer:

THIS IS YOUR ANSWER:

☺✍️HOPE IT HELPS YOU ✍️☺

two object A and B vertically thrown upward with velocities of 80m/s and 100m/s at two seconds interview
two object A and B vertically thrown upward with velocities of 80m/s and 100m/s at two seconds interview

A fisherman notices that his boat is moving up and down periodically without any horizontal motion, owing to waves on the surface of the water. It takes a time of 2.60 s for the boat to travel from its highest point to its lowest, a total distance of 0.700 m . The fisherman sees that the wave crests are spaced a horizontal distance of 6.00 m apart.

Required:
a. How fast are the waves traveling?
b. What is the amplitude of each wave?
c. If the total vertical distance traveled by the boat were 0.500 , but the other data remained the same, how fast are the waves traveling?
d. If the total vertical distance traveled by the boat were 0.500 , but the other data remained the same, what is the amplitude of each wave?

Answers

Answer:

a) 1.2 m/s

b) 0.350 m

c) 1.2 m/s

d) 0.250 m

Explanation:

a)

At any traveling wave, there exists a fixed relationship between the frequency, the speed and the wavelength, as follows:

       \(v = \lambda * f (1)\)

We know that the frequency is equal to the number of cycles that the wave does in a second, so it's the inverse of the time needed to complete one cycle, that we call the period.In our case, since the wave completes one half cycle (from the highest point to the lowest one) in 2.60 s, this means that the time needed to complete a cycle, is just the double of it, i.e., 5.20 s .The frequency of the wave is just the inverse of this value:⇒ f = 1/T = 1/5.20 s = 0.2 1/s = 0.2 Hz (2)If the wave crests are spaced a horizontal distance of 6.0 m apart, this means that the wavelength λ is just 6.0 m.Replacing in (1) by (2) and the given λ, we can find the speed v, as follows:

       \(v = \lambda * f = 6.0 m * 0.2 1/s = 1.2 m/s (3)\)

b)

By definition, the amplitude of the wave, is the absolute value of its highest value over its the zero reference level (in this case the surface of the water), so it is the half of the total vertical distance traveled by the boat:

       ⇒ A = Δd/2 = 0.700m/2 = 0.350 m (4)

c)

Since the amplitude of the wave is independent of the frequency and the wavelength (that define the speed of the wave) the wave speed remains the same, i.e., 1.2 m/s.

d)

If the total distance traveled by the boat were 0.500 m , the amplitude would be just half this value, as follows:⇒ A = Δd/2 = 0.500m/2 = 0.250 m (5)

A certain satellite travels in an approximately circular orbit of radius 8.8 × 10^6 m with a period of 6 h 12 min. Calculate the mass of its planet from this information.

Answers

The mass of the planet is  5.98 × 10^24 kg.

To calculate the mass of the planet, we can use Kepler's Third Law of Planetary Motion. This law states that the square of the period of revolution of a planet around the sun is directly proportional to the cube of the semi-major axis of its orbit.

First, we need to convert the period of the satellite's orbit to seconds. We know that there are 60 minutes in an hour, so the period can be expressed as (6 × 60 + 12) minutes, which equals 372 minutes. Multiplying this by 60 seconds, we get a period of 22,320 seconds.

Next, we need to find the semi-major axis of the orbit. In a circular orbit, the semi-major axis is equal to the radius of the orbit. Therefore, the semi-major axis is 8.8 × 10^6 m.

Now, we can apply Kepler's Third Law to calculate the mass of the planet. The formula is T^2 = (4π^2/GM) × a^3, where T is the period of revolution, G is the gravitational constant, M is the mass of the planet, and a is the semi-major axis of the orbit.

Rearranging the formula, we can solve for the mass of the planet:
M = (4π^2/G) × a^3 / T^2

Plugging in the values, we get:
M = (4 × π^2 / 6.67430 × 10^-11) × (8.8 × 10^6)^3 / (22,320)^2

Evaluating this expression, we find that the mass of the planet is approximately 5.98 × 10^24 kg.

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Q 1-1 Marks If a car moved one full circular track of 15 Km, which sentence describes its motion?​

Answers

The sentence that best describes the motion is "the motion is a circular motion and has completed one revolution".

Question: "If a car moved one full circular track of 15 Km, which sentence describes its motion?​"

What is a circular motion?

An object moves in a circle at a constant speed in a motion known as uniform circular motion. Any point on a propeller, for instance, that is spinning continuously, is moving uniformly in circles.

There are two types of circular motion: uniform and non-uniform.

Circular motion can be seen in the orbit of a satellite, ice skaters moving at a constant speed in a circle, and vehicles traveling in a circle.

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A student catches a can of soda dropped from some unknown height by Mr. Fineman. If

the can was dropped from rest, and it is traveling at 8.9 m/s before it arrives in the

student's hand...

Answers

Answer:

v² = u² + 2gh

8.9² = 0² + 2(9.8)h

h = 4.0 m

v = at

t = 8.9/9.8

t = 0.91 s

Given the following information, what is the magnitude of the sum of the three
vectors?
Vector A: [13, 8, 0]
Vector B: [13, 0, 8]
Vector C: [0, 1, 8]
Express your answer to two decimals

Answers

Answer:

31.84

Explanation:

To find the magnitude of the sum of the three vectors, first, we need to add the vectors component-wise. Then, we can find the magnitude of the resulting vector.

Add the vectors component-wise:

Vector A + Vector B + Vector C = [13+13+0, 8+0+1, 0+8+8] = [26, 9, 16]

Find the magnitude of the resulting vector:

The magnitude of a vector [x, y, z] is given by the formula:

magnitude = sqrt(x^2 + y^2 + z^2)

Plugging in the values from the resulting vector:

magnitude = sqrt(26^2 + 9^2 + 16^2)

magnitude = sqrt(676 + 81 + 256)

magnitude = sqrt(1013)

magnitude ≈ 31.84

The magnitude of the sum of the three vectors is approximately 31.84.

Hope this helps!

On the periodic table , the vertical columns that extend down the periodic table are called ?

Answers

Answer:

groups

Explanation:

Answer: Groups

Explanation: They are in the same group! Like the Alkaline Metals are all the group. They all lose an electron. :)

When a 40 resistor is connected across the
terminals of a 2 V battery, the number of
coulombs passing through the resistor per
second is:

Answers

Answer:

Explanation:

resistance=40Ω

potential difference=2V

time=1s

no. of coulombs=?

V=IR

I=V/R=2/40=0.05A

I=Q/t

Q=It=[0.05][1]=0.05C

For a simple harmonic oscillator, which of the following pairs of vector quantities can’t both point in the same direction? (The position vector is the displacement from equilibrium.) (a) position and velocity (b) velocity and acceleration (c) position and acceleration

Answers

The restoring force and acceleration are always in the same direction for a simple harmonic oscillator.

A simple harmonic oscillator is what?

A driven or dampened oscillator is known as a simple harmonic oscillator. It typically consists of a mass "m" that is pulled in the direction of the point x = 0 by a single force "F" that solely depends on the body's position "x" and a constant "k."

Consider a straightforward pendulum that displays SHM at low displacements. The location vector points upward while the acceleration and velocity vectors point downward during the downswing. The acceleration vector points downward while the location and velocity vectors point upward during an upswing. Therefore, unless they are both 0 at equilibrium, the acceleration always points in the opposite direction to the position vector. The acceleration and force of restoration are always in same direction .

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The blocks are forced together, compressing a spring between them by a distance x; (the force constant of the spring is k) then the system is released from rest on a level, frictionless surface. The spring, which has negligible mass, is not fastened to either block and drops to the surface after it has expanded. What is the speed that block A acquired, vA

Answers

Answer:

   v =\(\sqrt{\frac{k}{m} }\)    x

Explanation:

For this exercise let's use the important topic of conservation of energy

starting point. Spring compression point

          Em₀ = K_e = ½ k x²

final point. When the spring is not compressed

          Em_f = K = ½ m v²

as they indicate that there is no friction, the energy is conserved

          Em₀ = Em_f

          ½ k x² = ½ m v²

          v =\(\sqrt{\frac{k}{m} }\)    x

What advances have happened that allow us to look inside the living juman brain

Answers

Answer:

Brain imaging aka Neuroimaging explores a series of mechanisms such as cognition, information processing, and brain changes in the functioning state. In addition, MRI, Magnetic resonance imaging, is a medical imaging test that produces detailed images of the brain.

Explanation:

Heat can be transferred by conduction when one object is in direct contact with another object. Conduction can occur in solids, liquids, or gases, but it is more effective in A. gases because their particles are moving faster. B. liquids and gases because they occur at higher temperatures. C. liquids because they have a definite volume but not a definite shape. D. solids and liquids because their particles are arranged more closely together.

Answers

Answer:

The correct answer is D. solids and liquids because their particles are arranged more closely together.

The mass of Saturn is 5.68 x 1026 kg, and use an orbital radius of 3.00 x 105 km. (G = 6.67 × 10-11 N ∙ m2/kg2). Find the orbital speed of an ice cube in the rings of Saturn.

Answers

The orbital speed of an ice cube in the rings of Saturn is determined as  355,366.5 m/s.

What is orbital speed?

The orbital speed of an astronomical body or object is the speed at which it orbits around the center of mass of the most massive body.

Orbital speed of ice cube in the rings of Saturn

The orbital speed of ice cube in the rings of Saturn is calculated as follows;

v = √GM/r

where;

G is universal gravitation constantM is mass of Saturnr is the distance of the ice cube

v = √(6.67 x 10⁻¹¹ x 5.68 x 10²⁶)/(3 x 10⁵)

v = 355,366.5 m/s

Thus, the orbital speed of an ice cube in the rings of Saturn is determined as  355,366.5 m/s.

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Post First

Answer the following Critical Thinking Question. You may respond to the answers of the other students after you have answered the question. This homework assignment is worth 5 points.

Answer the following question:

Photons produced within the core of the Sun take about 170,000 years to reach the surface of the Sun. However, neutrinos take approximately only three minutes to complete the same trip. Why this is so?

Answers

The reason why photons take about 170,000 years to reach the surface of the Sun while neutrinos take only approximately three minutes for the same trip lies in the interaction of these particles with matter.

Photons are electromagnetic radiation and they interact strongly with the charged particles present in the dense plasma of the Sun's core. These interactions cause frequent scattering and absorption, resulting in a random walk-like path for the photons. As a result, they experience numerous collisions and absorptions, which significantly slows down their journey to the Sun's surface. The process is often referred to as "radiative diffusion."

On the other hand, neutrinos are electrically neutral particles that interact only very weakly with matter. This weak interaction allows neutrinos to pass through the dense plasma of the Sun's core almost unimpeded. Neutrinos can traverse matter, including the Sun, without being significantly absorbed or scattered, making their journey from the core to the surface much faster than photons.

The differing interaction strengths of photons and neutrinos with matter explain why photons take much longer to reach the Sun's surface compared to neutrinos. This phenomenon highlights the unique properties and behavior of these fundamental particles in the realm of astrophysics and particle physics.

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Hi please help on question! . If answer is correct I'll rate you five stars a thanks and maybe even brainliest! You will even get 54 pts!!


Here is a function machine.



Input : multiply by 6. Subtract 80: output



The input is the same as the output. Find the input.


Also can you please show me an easy to work out these type of questions

Answers

Answer:

Explanation:

Sure, I'd be happy to help you with the question!

Let's denote the input as x. According to the function machine, the input is multiplied by 6 and then 80 is subtracted from the result to obtain the output.

So, the function can be written as:

Output = (6 * x) - 80

Now, the problem states that the input is the same as the output. Therefore, we can set up the equation:

x = (6 * x) - 80

Let's solve this equation to find the value of x:

x = 6x - 80

Subtracting 6x from both sides, we get:

x - 6x = -80

Combining like terms, we have:

-5x = -80

Dividing both sides by -5, we find:

x = (-80) / (-5)

Simplifying the expression, we have:

x = 16

Therefore, the input (x) that results in the input being the same as the output is 16.

To work out these types of questions, it's important to carefully read the instructions and understand the operations being performed in the function machine. Then, you can set up an equation with the input and output, and solve for the unknown value. Always double-check your solution to ensure it satisfies the given conditions of the problem.

Answer:

16

Explanation:

(x*6) - 80 = x

Multiply the parentheses

6x - 80 = x
Add 80 to each side to get
6x = x + 80
Subtract x from both sides to get
5x = 80
Divide both sides by 5
x = 16

3.00 kg block moving 2.09 m/s right hits a 2.22 kg block moving 3.92 m/s left. afterwards, the 3.00 kg block moves 1.71 m/s left. find the velocity of the 2.22 kg block afterwards

Answers

Momentum is conserved, so the total momentum before collision is equal to the total momentum after collision. Take the right direction to be positive. Then

(3.00 kg) (2.09 m/s) + (2.22 kg) (-3.92 m/s) = (3.00 kg) (-1.71 m/s) + (2.22 kg) v

where v is the velocity of the 2.22 kg block after collision. Solve for v :

6.27 kg•m/s - 8.70 kg•m/s = -5.13 kg•m/s + (2.22 kg) v

(2.22 kg) v = 2.70 kg•m/s

v = (2.70 kg•m/s) / (2.22 kg)

v ≈ 1.22 m/s

i.e. a velocity of about 1.22 m/s to the right.

Mrs Turner has a scale drawing of her apartment.IN the scale drawing the lenght of her apartment is 6.25 inches and the width is 2.75 onches. If Mrs. Turner used the scale factor 1 inc/18ft, what would the area of the apartment be?

Answers

The area of Mrs. Turner's apartment is approximately 0.05304 square feet.

To find the area of Mrs. Turner's apartment, we need to convert the measurements from the scale drawing to the actual measurements in feet, using the given scale factor of 1 inch/18 feet.

Length of apartment in feet = 6.25 inches × (1 foot/18 inches) = 0.34722 feet

Width of apartment in feet = 2.75 inches × (1 foot/18 inches) = 0.15278 feet

Now, we can calculate the area of the apartment in square feet by multiplying the length and width:

Area of apartment in square feet = Length × Width = 0.34722 feet × 0.15278 feet = 0.05304 square feet

Therefore, the area of Mrs. Turner's apartment is approximately 0.05304 square feet.

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a ballon is filled with air. what forces are acting on the ballon and the air?

Answers

Answer: Three forces act significantly on a freely floating helium-

filled balloon: gravity, air resistance (or drag force), and a

buoyant force.

Explanation:

The air pressure on the bottom of the balloon is slightly higher than the air pressure on the top of the balloon (because of the altitude difference). This difference gives rise to the bouyant force. This force competes with gravity as the two main forces acting on the balloon. Every time your feet hit the ground when you are running, the ground hits your feet with an equal and opposite force. Newton’s third law explains how balloons and rocket engines work. When the neck of an inflated balloon is released, the stretched rubber material pushes against the air in the balloon. The air rushes out of the neck of the balloon.

A vehicle, starting from rest, accelerates on a circular track with a 335m diameter.

Answers

The distance travelled by the vehicle around the circular track is 1,052.4 m.

What is the distance travelled by the vehicle in one complete cycle?

The distance travelled by the vehicle in one complete cycle is calculated by using the following equation as show below.

d = 2πr

d = πd

Where;

r is the radius of the circular trackd is the diameter of the circular track

In one complete cycle, the  vehicle will travel the circular track only once.

d = π(335 m)

d = 1,052.4 m

Thus, the distance travelled by the vehicle around the circular track is a function of the diameter of the circular track.

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The complete question is below:

A vehicle, starting from rest, accelerates on a circular track with a 335m diameter. What is the distance travelled by the vehicle when it makes one complete cycle?

An 8.0 Kg mass is placed at = 3 where should a 10 Kg mass be placed along the − so that the center of mass will be located ay = 4.5?

Answers

Answer:

Therefore, the 10 kg mass should be placed at x = 5.7 m along the x-axis to achieve a center of mass located at y = 4.5 m.

Explanation:

To find the position along the x-axis where a 10 kg mass should be placed such that the center of mass is located at y = 4.5, we can use the formula for the center of mass:

x_cm = (m1 * x1 + m2 * x2) / (m1 + m2)

Here, m1 and x1 represent the mass and position of the 8 kg mass, respectively. m2 is the mass of the 10 kg mass, and we need to find x2, its position.

Given:

m1 = 8 kg

x1 = 3 m

x_cm = unknown (to be found)

m2 = 10 kg

y_cm = 4.5 m

Since the center of mass is at y = 4.5, we only need to consider the y-coordinate when calculating the center of mass position along the x-axis.

To solve for x2, we can rearrange the formula as follows:

x2 = (x_cm * (m1 + m2) - m1 * x1) / m2

Substituting the given values:

x2 = (x_cm * (8 kg + 10 kg) - 8 kg * 3 m) / 10 kg

Simplifying:

x2 = (x_cm * 18 kg - 24 kg*m) / 10 kg

Now, we can set the y-coordinate of the center of mass equal to 4.5 m and solve for x_cm:

4.5 m = (8 kg * 3 m + 10 kg * x2) / (8 kg + 10 kg)

Simplifying:

4.5 m = (24 kg + 10 kg * x2) / 18 kg

Multiplying both sides by 18 kg:

81 kg*m = 24 kg + 10 kg * x2

Subtracting 24 kg from both sides:

10 kg * x2 = 81 kg*m - 24 kg

Dividing both sides by 10 kg:

x2 = (81 kg*m - 24 kg) / 10 kg

Simplifying:

x2 = 8.1 m - 2.4 m

x2 = 5.7 m

(brainlest?) ples:(

Answer:

the 10 kg mass should be placed at x = -2.4 m to achieve a center of mass at y = 4.5 m.

Explanation:

To find the position along the x-axis where the 10 kg mass should be placed so that the center of mass is located at y = 4.5, we can use the principle of the center of mass.

The center of mass of a system is given by the equation:

x_cm = (m1x1 + m2x2) / (m1 + m2),

where x_cm is the x-coordinate of the center of mass, m1 and m2 are the masses, and x1 and x2 are the positions along the x-axis.

Given:

m1 = 8 kg,

x1 = 3 m,

m2 = 10 kg,

y_cm = 4.5 m.

To solve for x2, we need to find the x-coordinate of the center of mass (x_cm) by using the y-coordinate:

y_cm = (m1y1 + m2y2) / (m1 + m2),

where y1 and y2 are the positions along the y-axis.

Rearranging the equation and substituting the given values:

4.5 = (83 + 10y2) / (8 + 10).

Simplifying the equation:

4.5 = (24 + 10*y2) / 18.

Multiplying both sides by 18:

81 = 24 + 10*y2.

Rearranging the equation:

10*y2 = 81 - 24,

10*y2 = 57.

Dividing both sides by 10:

y2 = 5.7.

Therefore, the y-coordinate of the 10 kg mass should be 5.7 m.

To find the x-coordinate of the 10 kg mass, we can use the equation for the center of mass:

x_cm = (m1x1 + m2x2) / (m1 + m2).

Substituting the given values:

x_cm = (83 + 10x2) / (8 + 10).

Since the center of mass is at x_cm = 0 (the origin), we can solve for x2:

0 = (83 + 10x2) / (8 + 10).

Rearranging the equation:

83 + 10x2 = 0.

24 + 10*x2 = 0.

10*x2 = -24.

Dividing both sides by 10:

x2 = -2.4.

What is the sum of the following vectors?

What is the sum of the following vectors?

Answers

Answer:

-5

Explanation:

the red line is showing that you are going down to -8 and the blue line is showing that you should go up, which means you are adding three to -8. When 3 is added to -8, you get -5.

What is the mass of a truck if it produces a force of 15000 N while accelerating at a rate of 5 m/s^2?

Answers

Answer:

From Newton's second..

The Net force acting on an object is equal to its acceleration Multiplied by its Mass

F=Ma

Given

F=15,000

a=5ms^-2

15,000=m x 5

m=15,000/5

m=3000kg.

Explanation:

28) A student holds a ball at height of 1.1m having ball mass 4 kg
find mechanical energy at A
also find its potential energy when it reaches at height of 0.8 m. (g=10m/s²)

28) A student holds a ball at height of 1.1m having ball mass 4 kgfind mechanical energy at Aalso find

Answers

The potential energy at Point A is 44 joules. The potential energy at a height of 0.8 m is 32 joules, and to find the mechanical energy at point A, one need to consider both the potential energy and the kinetic energy of the ball.

Potential Energy at Point A: Potential energy is given by the formula PE = mgh, where m is the mass, g is the acceleration due to gravity, and h is the height.

Given: Mass of the ball (m) = 4 kg

Height at Point A (h) = 1.1 m

Acceleration due to gravity (g) = 10 m/s²

Potential Energy at Point A = mgh

Potential Energy at Point A = 4 kg × 10 m/s² × 1.1 m

Potential Energy at Point A = 44 Joules

So, the potential energy at Point A is 44 Joules.

Potential Energy at Height 0.8 m: To find the potential energy at a height of 0.8 m, one will use the same formula.

Given: Height at Point = 0.8 m

Potential Energy at Height 0.8 m = mgh

Potential Energy at Height 0.8 m = 4 kg × 10 m/s² × 0.8 m

Potential Energy at Height 0.8 m = 32 Joules

So, the potential energy at a height of 0.8 m is 32 joules.

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Bill drives and sees a red light. He slows down to a stop. A graph of his velocity over time is shown below.
What is his average acceleration from 0 to 10 seconds?

Bill drives and sees a red light. He slows down to a stop. A graph of his velocity over time is shown

Answers

Answer: its actually 0

Explanation: i read the khan academy hints and the answer is 0

yes the answer is 0 and if its not and have this graph its -2.0

In the text "White House Press Release Announcing the Bombing of Hiroshima August 6, 1945" by President Truman, in which country was the atomic bomb developed?
A. Germany
B. The United States
C. The United Kingdom
D. Japan

Answers

D
Japan is the answer

In the text "White House Press Release Announcing the Bombing of Hiroshima August 6, 1945" by President Truman, the atomic bomb was developed by the United States. Therefore, the correct answer is B. The United States.

During World War II, a top-secret project known as the Manhattan Project was conducted by the United States. The goal of this project was to develop an atomic bomb. The research and development efforts were led by American scientists, engineers, and military personnel. The project involved numerous facilities across the United States, including Los Alamos, New Mexico, where the final design and testing of the atomic bomb took place.

President Truman's press release announcing the bombing of Hiroshima on August 6, 1945, indicates that the United States successfully developed and deployed the atomic bomb. This historical event marked the first use of atomic weapons in warfare and had a significant impact on the outcome of World War II.

Therefore, based on the context of President Truman's press release and the historical record, it is clear that the atomic bomb was developed by the United States. Therefore, the correct answer is B.

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What is potential energy

Answers

Answer:

Potential Energy is when the energy is kept in place the object isnt moving so it isnt creating Kinetic energy.

Answer:

\(\boxed{\mathrm{view \ explanation}}\)

Explanation:

Potential energy is the energy stored in a body due to the body’s positioning or state.

Is solar power and solar energy the same thing ?

Answers

Answer:

yes I think

Explanation:

Solar energy systems refer to any technology that converts the sun's energy into another form of energy, such as heat or electricity. ... Solar power is a a subset of solar energy, a more narrow term that typically refers to the conversion of the sun's rays to electricity.

(Figure 1) shows a thin liquid film bounded on the right side by a sliding wire that is attached to a spring with spring constant 0.50 N/m. The spring is stretched by 1.3 cm. What is the liquid's surface tension in mN/m?

Answers

The liquid's surface tension in N/m is determined as 0.25 N/m.

What is surface tension?

Surface tension is defined as the property of the surface of a liquid that allows it to resist an external force, due to the cohesive nature of its molecules.

Mathematically, the formula for surface tension of a liquid is given as;

γ = F/L

γ = F/2x

where;

F is the applied forcex is the extension of the springγ is the surface tension

From Hooke's law, the force applied on an elastic material is directly proportional to the extension of the material.

F = kx

where;

k is the spring constantx is the extension of the spring

The final equation for the surface tension of the liquid film becomes;

γ = F/2x

γ = kx/2x

γ = k/2

γ = (0.5 N/m) / 2

γ = 0.25 N/m

Thus, the surface tension of a liquid depends on the applied force and length of the liquid surface.

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Use Hooke's Law to determine the work done by the variable force in the spring problem. A force of 450 newtons stretches a spring 30 centimeters. How much work is done in stretching the spring from 50 centimeters to 80 centimeters

Answers

The work done in stretching the spring from 50 cm to 80 cm is 67.5 J.

Hooke's Law

Hooke's law states that the force applied to an elastic material is directly proportional to its extension, provided its elastic limit is not exceeded.

To calculate the amount of work done by Hooke's law, first, we need to find the force constant of the spring.

Formula:

F = ke................. Equation 1

Where:

F = Force appliedk = Spring constante = extension

make k the subject of the equation

k = F/e................ Equation 2

From the question,

Given:

F = 450 Ne = 30 cm = 0.3 m

Substitute these values into equation 2

k = 450/0.3k = 1500 N/m.

Finally, To find the work done in stretching the spring from 50 cm to 80 cm, we use the formula below.

W = ke²/2........... Equation 3

Where:

W = Work donek = spring constante = extension

Also, From the question,

Given:

e = (80-50) = 30 cm = 0.3 mk = 1500 N/m

Substitute these values into equation 3

W = 1500(0.3²)/2W = 67.5 J.

Hence, The work done in stretching the spring from 50 cm to 80 cm is 67.5 J.

Learn more about Hooke's law here: https://brainly.com/question/12253978

1. The kinetic energy of a car is 8  106 J as it travels along a horizontal road. How much work is required to stop the car in 10 s? (A) zero joules (B) 8  105 J (C) 8  107 J (D)8  104 J (E) 8  106 J​

Answers

The power to stop the car with kinetic energy of a car is  \(8*10^{6} J\) as it travels along a horizontal road is  \(8*10^{5} watt\), option B

What is Kinetic energy ?

Kinetic energy can be seen as one that is been recorded when an object is able to move from a place , in a broad term we can say this is the energy that can be attributed to that of someone leaving a place and go to another place hence we can see it as the one in the motion.

The definition of energy as the "power to accomplish work" refers to the capacity to apply a force that moves an object. Even if the word is vague, it is clear what energy actually means: it is the force that causes objects to move. The two types  can be attributed to the one we know which are kinetic and potential energy.

\(Power \frac{Energy}{time}\)

\(Energy = 8*10^{6} J\)

\(time = 10 s\)

\(Power = \frac{8*10^{6} J}{10}\)

\(power = 8*10^{5} watt\)

Learn more about  kinetic energy  at:

https://brainly.com/question/8101588

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proper question;

The kinetic energy of a car is 8 × 106 J as it travels along a horizontal road. How much power is required to stop the car in 10 s? (A) zero joules (B) 8  105 J (C) 8  107 J (D)8  104 J (E) 8  106 J​

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