a 19.3-g mass of gold in the form of a cube is 1 cm long on each side (somewhat smaller than a sugar cube). what would be the length of the sides of the cube that has twice the mass of gold?

Answers

Answer 1

The length of the sides of the cube that has twice the mass of gold would be approximately 1.26 cm.

The density of gold is 19.3 g/cm³. Therefore, the volume of the gold cube is:

Volume = mass/density = 19.3 g / 19.3 g/cm³ = 1 cm³

Since the cube is 1 cm long on each side, the volume is equal to the length cubed:

1 cm³ = (1 cm)³

To find the length of a cube that has twice the mass of gold, we can use the relationship between mass, density, and volume:

mass = density x volume

If the mass is doubled, then we have:

2 x mass = density x volume

We know the density of gold, and we know that the volume of the new cube must be twice the volume of the original cube.

2 x mass = density x 2 x (1 cm)³

Solving for the length of the sides of the new cube,

(Length of sides)³ = 2 x (1 cm)³

Length of sides = (2 x (1 cm)³)^(1/3) = 1.26 cm (approx.)

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Related Questions

When velocity is negative and acceleration is negative, what happens to the object's motion?

Answers

Answer:

Speeds up at a negative direction

Explanation:

El peso normal de un estudiante de secundaria es 725 N y el área de los dos zapatos que usa es de 412 cm2 . La presión medida que sus zapatos ejercen en el suelo es

Answers

Answer:

Presión = 175,97 N/m²

Explanation:

Dados los siguientes datos;

Peso del alumno (fuerza) = 725N

Área de zapatos = 412 cm² a metros cuadrados = 412/100 = 4.12 metros

Para encontrar la presión, usaríamos la siguiente fórmula;

Presión = fuerza / área

Presión = 725 / 4.12

Presión = 175,97 N/m²

An equal amount of a gas is held in two identical containers. The temperature of container 1 is 15°C and the temperature of container 2 is 30°C. In which container will the pressure be lowest? (Assume there is nothing else inside the containers.)

Answers

Answer:

Container 1

Explanation:

The reason why there will be less pressure in container 1 is that it's colder than container 2. You must have learned right, that a colder thing has its molecules less moving, and they don't expand, instead they actually decrease in volume? In the same way, it's applied to gas also. So that's why, because container 1 has 15C temperature, which is half less than container 2's 30C, that's why, container 1 has less pressure than Container 2.

So hence, container 1 has less pressure than container 2 because of its a lower temperature, which doesn't make the molecules expand, and move around that much.

THANKS!

A car has a mass of 1000 kg. It is driving to the right.
Draw a free body diagram showing the forces acting on it.
Find it’s weight on Earth.

How do I even draw a body diagram? Please help.

Answers

Answer:

Explanation:

What is a free body diagram?

Answer: a force diagram is a graphical illustration used to visualize the applied forces and resulting reactions on a body in a given condition

Drawing a free-body diagram for this problem

Answer: Look at the attached picture, ask me any questions if you are still confused. It is a little messy since I didn't have my pen.

Find its weight on Earth

Answer: The weight is dependent on the mass of the object and the gravitational constant on the planet. The gravitational constant, in this case, is 9.8.

   so the weight = mass * gravitational constant = m * g = 1000 * 9.8

                          = 9800 N

Hope that helps!

A car has a mass of 1000 kg. It is driving to the right. Draw a free body diagram showing the forces

A coffee maker has a power rating of 1.4 kW. How much energy will this coffee maker transfer every second?

Answers

Answer:

The power rating of the coffee maker is 1.4 kW, which means that it uses 1.4 kilowatts of power when it is in operation. To find out how much energy it will transfer every second, we can use the formula:

Energy transferred = Power × Time

Since we want to know the energy transferred every second, we can set the time to 1 second. Therefore:

Energy transferred per second = Power × 1 second

Energy transferred per second = 1.4 kW × 1 second

We can simplify this by converting the unit of power from kilowatts to watts:

Energy transferred per second = 1,400 watts × 1 second

Energy transferred per second = 1,400 joules

Therefore, the coffee maker will transfer 1,400 joules of energy every second.

Please help !!

Which of the following statements regarding orbits is true?
A. A satellite moves in an elliptical orbit with the central body at one
focus
B. The Sun and a planet are at the two foci of an orbit.
c. In an orbit, the satellite and the central body are the two foci of the
ellipse.
D. In an elliptical orbit, there is one focus and the satellite is located
there.

Answers

The answer is b. A planet will orbit the sun in an elliptical shape, and that this orbit will have two focus points

The true statement about an orbit is that the sun and a planet are at the two foci of an orbit. Hence, option B is correct.

What is an orbit?

An orbit is a curved path taken by an object in celestial mechanics, such as the path taken by a planet around a star, a natural satellite around a planet, or an artificial satellite around an object or location in space, such as a planet, moon, asteroid, or Lagrange point.

Ordinarily, the term "orbit" refers to a trajectory that repeats itself periodically, though it can also apply to a non-repeating trajectory. Kepler's principles of planetary motion roughly predict that planets and satellites have elliptic orbits, with the center of mass orbiting at a focal point of the ellipse.

Hence, this concludes that option B is correct.

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Scientist Jordan makes a discovery and publishes the results for other scientists to read. Scientist Leesha tries to repeat the experiment and cannot make it work. Her results are also published. Scientist Jordan looks at his data again and finds that the discovery only works under certain conditions. He publishes the change. Now scientist Leesha repeats the new method and finds the same results as Jordan, but another scientist, Winslow, gets different results. What does this story demonstrate? A. that scientific knowledge is impossible to obtain B. that scientific knowledge results from a lot of debate and confirmation C. that scientific knowledge is developed by individual scientists in isolation D. that scientists are really good at arguing

Answers

Answer:

Answer choice B!

Explanation:

Study Island work

Answer:A

I DID THIS ON STUDYILSLAND

Please write in complete sentences.

How does density affect refraction?

Diamonds are a very dense material. Predict what would happen to the light ray if you projected it from the air through a diamond.
answer both questions

Answers

(1.) The Phenomena of Refraction Occurs when a Ray (Here Light) enters a Relatively Denser or Rarer Medium and Due to the Change in Density, the Speed of the Incident Ray Decreases or Increases Respectively.

(2.) If a light ray projected through a diamond, the light would refract drastically.

If a 1000 kg car is traveling at 3
meters per second, what is its
kinetic energy?

Answers

Kinetic energy:
KE= .5 mv^2
KE = .5 * 1000 kg * 3 m’s^2
KE = 4500 kg m^2/s^2
KE = 4500 Joules

Which has more momentum a 100 kg kid riding a bike 10m/s or a 5000 kg truck barley rolling at 0.1 m/s

Answers

Answer:

The momentum of bike is more.

Explanation:

Given that,

Mass of the kid, m = 100 kg

Speed of the bike, v = 10 m/s

The momentum of the kid is given by :

p = mv

So,

p = 100 kg × 10 m/s

p = 1000 kg-m/s

Mass of the truck, m = 5000 kg

Speed of the truck, v = 0.1 m/s

The momentum of the truck is given by :

p = 5000 kg × 0.1 m/s

= 500 kg-m/s

So, the momentum of the kid riding a bike is more than that of the truck.

What do you mean by electromagnetic induction?​

Answers

Question : -

What do you mean by electromagnetic induction ?

Well Explained Answer : -

Discovery : -

A British scientist Michael Faraday and an American scientist Joseph Henry discovered the phenomenon of electromagnetic induction in 1831 independently.

Definition / Meaning : -

The production of electricity from magnetism is called electromagnetic induction.

Or ,

Electromagnetic induction is the phenomenon of the production of an induced current in a coil placed in a region where the magnet field changes with time

For Example : -

(i) If a bar magnet is moved in and out of coil of wire , even then an electric current is produced. This is an example of electromagnetic induction.

(ii) Another example , when a straight wire is moved up and down rapidly between the two poles of a horseshoe magnet , then an electric current is produced in the wire. This is also an example of electromagnetic induction .

#\( \rm{ \bold{Keep \: Learning}}\)

Electromagnetic induction denotes to producing electricity using magnetic field or magnetism.

This is the process or phenomenon of production of induced induced current in a region where magnetism changes with respect to the time.

It was discovered by great scientist Michael Faraday.

calculate the distance travelled by a car moving with 40 m/s velocity in 2 hours​

Answers

Answer:

14,400m

Explanation:

The formula for calculating speed is S=D/T.

S=speed( in meters per second- m/s)

D=distance(in meters)

T=time( in seconds)

For our case:

S=40m/s

D=?

Time=2 hours=60min x 60 sec=3600seconds

Now make D the subject.

D=S x T

D=4m/s x 3600s=14,400m

Therefore our answer is

14 400 m or 14.4 km

in a michelson interferometer, light of wavelength 632.8 nm from a he-ne laser is used. when one of the mirrors is moved by a distance d, 8 fringes move past the field of view. what is the value of the distance d?

Answers

In a Michelson interferometer, light of wavelength 632.8 nm from a He-Ne laser is used. When one of the mirrors is moved by a distance d, 8 fringes move past the field of view.

The electric field in a parallel plate capacitor has a magnitude of 1.40 x 10^4 V/m.

The electric field in a parallel plate capacitor is given by the formula

E = σ / ε0where E is the electric field, σ is the surface charge density, and ε0 is the permittivity of free space.

σ = ε0 x E

E = 1.40 x 10^4 V/m (given)

ε0 = 8.85 x 10^-12 C^2/Nm^2 (given)

σ = ?Plugging in the values we get,

σ = ε0 x E

= 8.85 x 10^-12 x 1.40 x 10^4

= 1.239 x 10^-7 C/m^2

Therefore, the surface charge density on the positive plate is 1.239 x 10^-7 C/m^2.

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Air was mixed with small quantity of iodine and made to flow with a velocity of 5. 25m/s2, 3cm diameter. Determine the mass transfer

Answers

The mass transfer rate of iodine in this flow is approximately 0.0052 kg/s.

Assuming that the concentration of iodine in the air is constant and uniform, we can use Fick's law of diffusion to calculate the mass flux:

J = -D (dC/dx)

where J is the mass flux in kg/(m²·s), D is the diffusion coefficient in m²/s, C is the concentration of iodine in kg/m³, and x is the distance in meters.

The diffusion coefficient for iodine in air at room temperature is approximately 1.16 × 10^-5 m²/s.

Assuming that the flow is fully developed and laminar, we can use the Hagen-Poiseuille equation to calculate the volumetric flow rate:

Q = (π/4)D²v

where Q is the volumetric flow rate in m³/s, D is the diameter of the pipe in meters, and v is the velocity of the flow in m/s.

Substituting the given values,

Q = (π/4)(0.03 m)²(5.25 m/s) ≈ 0.0043 m³/s

To convert the volumetric flow rate to a mass flow rate, we need to multiply by the density of the air. Assuming that the air is at room temperature and atmospheric pressure, we can use the ideal gas law to calculate the density:

ρ = P/(RT)

where ρ is the density in kg/m³, P is the pressure in Pa, R is the gas constant, and T is the temperature in Kelvin.

Substituting the values for room temperature and atmospheric pressure, we get:

ρ = (101325 Pa)/[(8.314 J/(mol·K))(293 K)] ≈ 1.20 kg/m³

Multiplying the volumetric flow rate by the density, we get:

ṁ = Qρ ≈ 0.0052 kg/s

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An object is 25.0 cm away from a concave lens of focal length -5.0cm If the height of the object is 2.7 cm, what is the image height?​

Answers

The height of the image is 0.54cm

To solve this problem, we employ the thin lens equation:

1/f = 1/do + 1/di

where f denotes focal length, di denotes image distance, and do denote object distance.

We begin by solving for di, which gives us the image distance and height:

1/di = 1/f - 1/do

Substituting the values from the problem yields:

1/di = 1/-5 - 1/25

1/di = -0.2

di = -5 cm

The image is virtual and vertical, as indicated by the negative sign above.

The magnification formula can then be used to get the image height:

m = -di/do

Substituting the values yields:

m = -(-5)/25 = 0.2

Because the image is virtual, we ignore the negative sign above and take the absolute value of magnification:

|m| = 0.2

Lastly, the image height is calculated by multiplying the object height by the magnification:

|m| x object height = image height

height of image = 0.2 x 2.7 cm

Height of image = 0.54 cm

As a result, the image height is 0.54 cm.

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obtain expression for effective ressistence of three resistors R1,R2,AND R3 are conected in series to 6v battery through voltmeter and ammeter

Answers

Explanation:

If they are in a series circuit they just add together

 Rtotal = R1   + R2   + R3  

      there is some small resistance in the ammeter  and the battery too (these would add to the total ) if you want to be totally correct.

Using the Position vs. time Graph below, showing the motion of two cyclists (Cyclist A and Cyclist B) answer the following question.Do the two cyclists have the same velocity at t = 3 seconds?

Answers

Using the information depicted on the distance - time graph, the slope of the graph is could be used to infer the velocity of each cyclist. Hence, cyclist A and B do not have the same velocity at 3 seconds.

The steepness of slope on the distance - time graph gives the velocity of the cyclist. At time, t = 0 ; the cyclist A has a greater slope than cyclist B. Hence, the velocity of the cyclists is different.

Therefore, the cyclists do not have the same velocity at time, t = 3 seconds.

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Using the Position vs. time Graph below, showing the motion of two cyclists (Cyclist A and Cyclist B)

Explain what happen to pressure exerted by air in the tyre if the temperature of tyre increases

Answers

Answer:

See the answer below

Explanation:

According to Amonton's law, the pressure of a gas is directly proportional to the temperature of its molecules given that the volume remains constant.

Hence, if the temperature of a tyre increases, heat is transferred to the air molecules within the tyre leading to an increase in the air temperature. The air thus exerts more pressure on the tyre in agreement with Amonton's law.

the energy of an object as it is in motion is defined as

Answers

The energy of an object in motion is called kinetic energy

Kinetic energy is defined as the energy possessed by an object due to its motion. The amount of kinetic energy an object has is directly proportional to its mass and the square of its velocity. Mathematically, the formula for kinetic energy is:

Kinetic energy = 1/2 x mass x velocity^2

Where:

Mass (m) is the mass of the object in kilograms (kg)

Velocity (v) is the velocity of the object in meters per second (m/s)

Kinetic energy is a scalar quantity, which means it has only magnitude and no direction. It is measured in joules (J) in the SI unit system.

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Discuss how directions fields and Euler's method are related. Draw the direction field and use Euler's method to approximate the solution at t = 10 using step size 1, for the initial value problem y'= -3y, y(0) = 5.

Answers

By Using Euler's method with two steps, we can find the approximate value of Y(2) is 2.125. , where Y is the solution of the initial value problem dy/dx = x - y, and Y(1) = 3.

Euler's method is defined as a numerical technique which is  used to approximate solutions into ordinary differential equations. The method includes dividing the interval of interest into smaller steps and thereafter approximating the solution at each step by using the derivative of the function.

In this case, we are given the initial value problem dy/dx = x - y, with the initial condition Y(1) = 3. To approximate Y(2) using Euler's method with two steps, we will divide the interval [1, 2] into two equal steps.

Step 1:

We start with the initial condition Y(1) = 3. Using the differential equation dy/dx = x - y, we can approximate the value of Y at the midpoint of the interval [1, 2].

Using the step size h = (2 - 1) / 2 = 0.5, we can calculate Y(1.5) as follows:

Y(1.5) ≈ Y(1) + h × (x - y) = 3 + 0.5 × (1.5 - 3) = 3 + 0.5 × (-1.5) = 2.25

Step 2:

Now, using the value of Y(1.5) as the new approximation, we calculate Y(2) using the same process:

Y(2) ≈ Y(1.5) + h × (x - y) = 2.25 + 0.5 × (2 - 2.25) = 2.25 + 0.5 × (-0.25) = 2.125

Thus,  by using Euler's method with two steps, the approximate value of Y(2) is 2.125.

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The complete question is

Use Euler's Method With Two Steps To Approximate Y(2), Where Y Is The Solution Of The Initial Value Problem: Dy : X − Y, Y(1) = 3

a sim,ple elctrical ciurucuiot contains a battery a light bulb and a properly copnnected ammeter the ammeter has a very low internal resistance because it is connected in

Answers

In a simple electrical circuit, if it contains a battery, a light bulb, and a properly connected ammeter, the ammeter has a very low internal resistance because it is connected in series with the circuit.

An electrical circuit is made up of a combination of resistors, voltage sources, and current sources that are interconnected in a closed loop. It is used to generate an electric current in a complete circuit and can be as straightforward as a battery connected to a bulb or as complicated as a full-scale electronic circuit.

Ammeters are measuring devices that are used to measure current in a circuit. The ammeter should be connected in series with the circuit to allow current to flow through it. An ammeter with a very low internal resistance should be used since any extra resistance in the ammeter can change the current being measured.

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Mr. Seifert needs to push a cardboard box down the hallway for Ms. Wang. The box has a mass of 40 kg and he is pushing it with an acceleration of 2 m/s/s. Because the cardboard does not slide easily, there is a friction force of 25 Newtons acting on the box to the LEFT. How much force is Mr. Seifert applying to the box to move it forward to the RIGHT?

Answers

Answer:

105N

Explanation:

force = mass x acceleration

force without the 25N = 40 x 2

= 80N

On top of this, he has to counteract the 25N so the actual force is 80N + 25N which is 105N

What is the focal length of a lens if an object placed 3.28 cm from the lens produces an image that is 1.91 cm in front of the lens?0.828cm-4.57cm-0.219cm1.21cm

Answers

Using lens equation:

\(\begin{gathered} \frac{1}{f}=\frac{1}{d_i}+\frac{1}{d_o} \\ where: \\ di=1.91 \\ d_o=3.28 \\ so: \\ \frac{1}{f}=\frac{1}{1.91}+\frac{1}{3.28} \\ so: \\ f\approx1.21cm \end{gathered}\)

Answer:

1.21 cm

Can prolonged exposure to highly intense infrared light cause electrons to be ejected from a clean metal surface?

Infrared light doesn't have enough energy
electrons do not eject until the threshold frequency is reached, even after prolonged exposure; once the threshold frequency is reached, ejections take place immediately - supports a one to one relationship between the electrons and other particle
hypothesized that the energy radiated from a heated object, such as stove element or a light bulb filament, is emitted in discrete units, or quanta

Answers

No, prolonged exposure to highly intense cannot infrared light cause electrons to be ejected from a clean metal surface because Infrared light doesn't have enough energy. Option A is correct.

According to Einstein's photoelectric effect, prolonged exposure to highly intense infrared light cannot cause electrons to be ejected from a clean metal surface. The electrons do not eject until the threshold frequency is reached, even after prolonged exposure; once the threshold frequency is reached, ejections take place immediately and support a one to one relationship between the electrons and other particle.

The photoelectric effect is based on the hypothesis that the energy radiated from a heated object, such as a stove element or a light bulb filament, is emitted in discrete units, or quanta. The minimum energy required to eject an electron is determined by the threshold frequency. Infrared radiation is of lower frequency and cannot provide sufficient energy to overcome the threshold frequency.

Therefore, even if infrared radiation is exposed for a longer duration, electrons will not be ejected out of a clean metal surface. Thus, prolonged exposure to highly intense infrared light cannot cause electrons to be ejected from a clean metal surface.

Hence, Option A is correct.

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In a food chain, the flow of energy and matter are depicted with an _____

Answers

Answer:

flujo de energia

Explanation:

Identify the conditions for an inelastic collision in a closed system. Check all that apply. a. Energy is conserved. b. Momentum is conserved Kinetic energy is conserved. c. Objects always stick together after an inelastic collision. d. One object may be stationary before an inelastic collision.

Answers

b. Momentum is conserved.

c. Objects always stick together after an inelastic collision.

d. One object may be stationary before an inelastic collision.

In an inelastic collision, there are certain conditions that apply to the collision itself and the behavior of the objects involved. Let's examine each option in detail:

a. Energy is conserved: In an inelastic collision, energy is not conserved. Some energy is typically lost in the form of heat, sound, or deformation of the objects involved. This loss of energy is due to the internal forces and interactions within the objects during the collision.

b. Momentum is conserved: Conservation of momentum is a key characteristic of an inelastic collision. In an inelastic collision, the total momentum of the system before the collision is equal to the total momentum after the collision. This means that the sum of the individual momenta of the objects involved remains constant.

c. Kinetic energy is conserved: Kinetic energy is not conserved in an inelastic collision. As mentioned earlier, some of the initial kinetic energy is transformed into other forms of energy, such as heat or deformation. The total kinetic energy after the collision is generally less than the total kinetic energy before the collision.

d. Objects always stick together after an inelastic collision: In an inelastic collision, the objects involved may stick together or deform upon impact. However, it is not a universal rule that objects always stick together after an inelastic collision. The degree of stickiness or deformation depends on the specific properties of the objects and the nature of the collision.

Therefore, the correct conditions for an inelastic collision in a closed system are:

- Momentum is conserved.

- Objects may stick together or deform after the collision.

- One object may be stationary before the collision.

It's important to note that these conditions may vary depending on the specific scenario and the nature of the objects involved in the collision.

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Answer:

Energy is conserved.

Momentum is conserved

One object may be stationary before an inelastic collision.

Explanation:

Are carbon compounds rigid and strong

Answers

yes, but it takes a lot of energy to break all those iconic bonds .

A ball rolls off the top of the roof of a building that is 13 meters tall. Calculate the amount of time it takes for it to hit the ground.

Answers

Answer:

The ball takes \($t=1 \cdot 917sec$\) to hit the ground.

Explanation:

The second equation of motion represents the total distances travelled by an object in a time interval of \($\Delta t$\) with an initial speed of \($u$\) and acceleration \($a$\).

• To find the time, ball takes to hit the ground, use the formula: \($$s = ut + \frac{1}{2}a{t^2}$$\)

Where, \($t$\) is time, \($u$\) is initial velocity, \($a$\) is acceleration and\($s$\) is displacement.

• In this case, \($a = g = 9 \cdot 8m/se{c^2}$\).

• Placing the value of the given initial velocity, \($u=0cm/s$\) and displacement,\($s = 13m$\) in the above formula.

\(& \therefore s = ut + \frac{1}{2}g{t^2} \\& \Rightarrow 13 = 0 \cdot t + \frac{1}{2} \times 9 \cdot 8 \times {t^2} \\\)

\(& \Rightarrow 13 = 4 \cdot 9{t^2} \\& \Rightarrow {t^2} = \frac{{13}}{{4.9}} \\& \Rightarrow t = 1 \cdot 917sec \\\end{align}\]\)

• Hence, ball takes \($t=1 \cdot 917sec$\) to hit the ground.

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A lever of length 1m has been used to lift a load of 600N by applying an effort of 200N. If load is at 20cm from fulcrum, calculate mechanical advantages, velocity ratio and efficiency

solve numerical problem ​

Answers

Answer:

1) The Mechanical Advantage of the lever is 3

2) The velocity ratio of the lever is 4

3) The efficiency of the lever is 75%

Explanation:

A lever is a simple machine that is used to lift a heavy load with a little effort or force

The mechanical advantage is the ratio of the force output to the force input

The given parameters of the lever are;

The length of the lever = 1 m

The weight of the load (force output), \(F_r\) = 600 N

The effort applied (force input), \(F_e\) = 200 N

1) The Mechanical Advantage, MA of the lever is given as follows;

\(MA = \dfrac{F_r}{F_e} = \dfrac{600 \ N}{200 \ N} = 3\)

The Mechanical Advantage, MA of the lever = 3

2) The velocity ratio, V.R., is the ratio of the distance moved by the effort, \(L_e\), to the distance moved by the load, \(L_r\)

For the lever, we have;

The distance of the load from the fulcrum, \(L_r\) = 20 cm = 0.2 m

Therefore, we have;

The distance of the effort from the fulcrum, \(L_e\) = 1 m - 0.2 m = 0.8 m

From which we have;

\(V.R.= \dfrac{L_e}{L_r} = \dfrac{0.8 \ m}{0.2 \ m} = 4\)

The velocity ratio of the lever = 4

3) The efficiency, η, is given as follow;

\(\%Efficiency, \, \eta = \dfrac{M.A.}{V.R.} \times 100 = \dfrac{3}{4} \times 100 = 75\%\)

The efficiency of the lever is 0.75 or 75%.

Explanation:

The length of the lever = 1 m

The weight of the load (force output), F_rF

r

= 600 N

The effort applied (force input), F_eF

e

= 200 N

1) The Mechanical Advantage, MA of the lever is given as follows;

MA = \dfrac{F_r}{F_e} = \dfrac{600 \ N}{200 \ N} = 3MA=

F

e

F

r

The length of the lever = 1 m

The weight of the load (force output), F_rF

r

= 600 N

The effort applied (force input), F_eF

e

= 200 N

1) The Mechanical Advantage, MA of the lever is given as follows;

MA = \dfrac{F_r}{F_e} = \dfra

=

200 N

600 N

=3

The Mechanical Advantage, MA of the lever = 3

2) The velocity ratio, V.R., is the ratio of the distance moved by the effort, L_eL

e

, to the distance moved by the load, L_rL

r

For the lever, we have;

The distance of the load from the fulcrum, L_rL

r

= 20 cm = 0.2 m

Therefore, we have;

The distance of the effort from the fulcrum, L_eL

e

= 1 m - 0.2 m = 0.8 m

From which we have;

V.R.= \dfrac{L_e}{L_r} = \dfra

The distance of the load from the fulcrum, L_rL

r

= 20 cm = 0.2 m

Therefore, we have;

The distance of the effort from t

V.R.= \dfrac{L_e}{L_r} = \dfrac{0.8

L

e

=

0.2 m

0.8 m

=4

The velocity ratio of the lever = 4

3) The efficiency, η, is given as follow;

\%Efficiency, \, \eta = \dfrac{M.A.}{V.R.} \times 100 = \dfrac{3}{4} \times 100 = 75\%%Efficiency,η=

V.R.

M.A.

×100=

4

3

×100=75%

The efficiency of the lever is 0.75 or 75

A 3.00 kg crate is pulled along a frictionless surface with a force of 55.0 N at 25.00 to the
horizontal so that it accelerates directly to the right. What is the crate's acceleration?

A 3.00 kg crate is pulled along a frictionless surface with a force of 55.0 N at 25.00 to thehorizontal

Answers

0.161 is the answer by the way
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