the push button of a faucet can be considered a spring mass damper system. the mass of the button is 0.1 kg. calculate the following: g

The acceleration of the car in three significant figures is 0.181 m/s².

The acceleration of the car is calculated by applying the following kinematic equation as shown below.

v² = u² + 2as

where;

The given parameters include the following;

the final velocity of the car = 2 m/s

the distance travelled by the car = 11 m

The acceleration of the car is calculated as follows;

v² = u² + 2as

v² = 0 + 2as

a = v² / 2s

a = ( 2² ) / ( 2 x 11 )

a = 0.181 m/s²

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The measure of arc CD (round to the nearest degree) is 150 degress

The following data were obtained from the question:

Length of arc = 2πr × (θ / 360)

Inputting the given parameters, we can obtain the measure of arc CD as follow:

1.31 = (2 × 3.14 × 0.5) × (θ / 360)

1.31 = (3.14 × θ) / 360

Cross multiply

3.14 × θ = 1.31 × 360

3.14 × θ = 471.6

Divide both sides by 3.14

θ = 471.6 / 3.14

θ = 150 °

Thus, we can conclude that the measure of arc CD is 150 °

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Complete question:

See attached photo

Answer: Mohs Scale

Explanation: Mohs Scale of Hardness

hope this helped!!!!!!!!!!!

The power of man performing 500 J of work in 8 seconds is 62.5 J/s.

Power can be defined as the pace at which work is completed in a given amount of time.

Horsepower is sometimes used to describe the power of motor vehicles and other machinery.

The pace at which work is done on an item is defined as its power. Power is a temporal quantity.

Which is connected to how quickly a project is completed.

The power formula is shown below.

Power = Energy / Time

Power = E / T

Because the standard metric unit for labour is the Joule and the standard metric unit for time is the second, the standard metric unit for power is a Joule / second, defined as a Watt and abbreviated W.

Here we have given Energy as 500 J and Time as 8 second.

Power = Energy / Time

Power = 500 / 8  Joule / sec

Power = 250 / 4  Joule / sec

Power = 125 / 2 Joule / sec

Power = 62.5 Joule / sec  or  62.5 watt

Power came out to be 62.5 J/s when the man performed 500 Joule of work in 8 seconds.

So we can conclude that the power in the Energy transmitted per unit of time, and can be find out by dividing Energy by time. In our case the Power came out to be 62.5 Joule / Second.

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Answer:

\(u= 10 \frac{m}{s} \\ t = 10 \: s \\ a = .5 \frac{m}{ {s}^{2} } \\ v = x \\ v = u + at \\ x = 10 + .5 \times 10 \\ x = 10 + 5 \\ x = 15 \frac{m}{s} \\ thank \: you\)

Answer:

15m/s

Explanation:

a=(Vf-Vi)/t

0.5m/s^2=(Vf-10m/s)/10s

when we solve this Vf=15m/s^2

To find the tensions T1 and T2 in the shoestrings, we use the component method and set up equations for the x- and y-components of the forces. By assuming that T1 and T2 have the same magnitude, we can solve for T and find that T1 and T2 are both approximately 8.66 lbs. To verify this, with weights representing the forces and confirm that the table balances.

Let T1 and T2 be the tensions in the shoestrings. Since the person pushes downward at an angle of 60 degrees to the right with a force of 20 lbs, we can represent this force as a vector F with components

Fx = 20 cos(60) = 10 lbs

Fy = -20 sin(60) = -17.32 lbs (negative because it points downwards)

The tensions in the shoestrings can be represented by vectors T1 and T2. Since the shoestrings are tied to the shoes, the tensions must be perpendicular to the shoes. Therefore, we can represent T1 and T2 as follows

T1x = T1 cos(90) = 0

T1y = T1 sin(90) = T1

T2x = T2 cos(90) = 0

T2y = T2 sin(90) = T2

Using the component method, we can add the x-components and y-components of the forces to get

ΣFx = T1x + T2x + Fx = 0 + 0 + 10 = 10 lbs

ΣFy = T1y + T2y + Fy = T1 + T2 - 17.32 = 0

Since the shoestrings are tied together at the shoes, we know that T1 and T2 have the same magnitude

T1 = T2 = T

Substituting this into the second equation, we get

T + T - 17.32 = 0

Solving for T, we get

T = 8.66 lbs

Therefore, the tensions in the shoestrings are both approximately 8.66 lbs.

To verify this, we can set up the forces on the table to match the forces acting on the shoestrings. We can use a weight of 20 units to represent the force applied by the person, and two weights of 8.66 units each to represent the tensions in the shoestrings.

We can arrange the weights so that one tension weight is at an angle of 60 degrees to the right and the other is at an angle of 30 degrees to the left. If the forces are in equilibrium, the force table should balance. By adjusting the weights, we can confirm that the force table does indeed balance, verifying our calculated tensions.

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--The given question is incomplete, the complete question is given

" While tying his shoes, a person holds the

shoestrings at the angles at 60 degree to right and pushes downward

with a force of 20 lbs. Use the

component method to determine the

tensions T1 and T1 in each shoestring.

Verify your answer "--

Answer:

neither A nor B

Explanation:

There are a lot of reasons, quite handful of them. About why scientists repeat experiments.

They do so sometimes to persistently verify the results they have gotten. Another reason is so as to be able to study and improve them in other ways.

This is just 2 of the very many reasons why scientists repeat experiments. Remember the popular saying, that practice makes perfect? yeah, that's just it

I hope you understand. Thanks

Answer:      780080

Explanation: BY FORMULA OF K.E

                           K.E=  1/2 MV^2

                                 =  1/2 (1990)(28)^2

                                 =   780080 JOULE

The distance that is covered is 150 m

The displacement is 50 m.

We have to know that the displacement has to do with the distance that is covered in a  specific direction. We have to take note of the direction that we have there as that is what does make the difference between the distance and the displacement.

The distance does not involve the direction. It can then be safe to say that displacement is a vector and that distance is a scalar. Once again let us recall that these are so because the distance does not take cognizance of the direction while the displacement would always take cognizance of the direction of the motion.

Then we have;

Distance = 50 m + 50 m + 50 m = 150 m

For displacement calculation;

Moving towards the opposite side and back = 50 m - 50 m = 0 m

Moving again to the opposite side;

Displacement = + 50 m

Note that the backward motion of the swimmer would be taken as negative.

Therefore total displacement = 50 m

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Answer:

The ancient Greeks counted the Earth's Moon and Sun as planets along with Mercury, Venus, Mars, Jupiter, and Saturn. Earth was not considered a planet, but rather was thought to be the central object around which all the other celestial objects orbited.   ......     Jupiter is composed of gases — hydrogen and helium, mostly — all ... the largest planet in the solar system, the gas giant just doesn't have ... But unlike the sun, it lacks the necessary amount to begin fusion, the process that fuels a star. ... to 80 times more massive than it is at present to be considered a star.

The airplane will strike the ground at a horizontal distance of 490 meters.

To determine how far the airplane will strike on the ground, we need to consider the horizontal distance traveled by the airplane during its flight.

The horizontal distance traveled by an object can be calculated using the formula:

Distance = Speed × Time

In this case, the speed of the airplane is given as 100 meters per second and the time it takes to cover the distance of 490 meters is unknown. Let's denote the time as t.

Distance = 100 m/s × t

Now, to find the value of time, we can rearrange the equation as follows:

t = Distance / Speed

t = 490 m / 100 m/s

t = 4.9 seconds

Therefore, it takes the airplane 4.9 seconds to cover a horizontal distance of 490 meters.

Now, to calculate the distance on the ground where the airplane will strike, we can use the formula:

Distance = Speed × Time

Distance = 100 m/s × 4.9 s

Distance = 490 meters

It's important to note that this calculation assumes a constant speed and a straight flight path. In reality, various factors such as wind conditions, changes in speed, and maneuvering can affect the actual distance traveled by the airplane.

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Answer:

10000

Explanation:

10 to the 5th power

A. The average speed you can use to pull the safe is 1.02 m/s

B. The time needed to pull the safe up is 17.65 s

First, we shall obtain the force. This is shown below:

F = mg

F = 60 × 9.8

F = 588 N

Finally, we shall obtain the average speed. Details below:

Power = force × average speed

600 = 588 × average speed

Divide both sides by 588

Average speed = 600 / 588

Average speed = 1.02 m/s

The time needed to pull the safe up can be obtained as follow:

Time = Total distance / average speed

Time = 18 / 1.02

Time = 17.65 s

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Complete question:

You know you can provide 600 W

of power to move large objects. You need to move a 60-kg

safe up to a storage loft, 18 m

above the floor.

Part A

With what average speed can you pull the safe straight up?

Part B

What is the time needed to pull the safe up?

Answer:

The bat and the ball were in contact for 1.8 x 10⁻³ s

Explanation:

Given;

mass of baseball, m = 0.14 kg

initial velocity of the baseball, u = 27.1 m/s

applied force in opposite direction, F = -5000 N

final velocity in opposite direction, v = -37 m/s

Note: The applied force and final velocity are negative because they act in opposite direction to the initial velocity.

impulse received by the body = change in momentum of the  body

Ft = Δmv

Ft = mv - mu

Ft = m(v-u)

t = m(v-u) / F

\(t = \frac{0.14(-37-27.1)}{-5000} \\\\t = \frac{0.14(-64.1)}{-5000} \\\\t = \frac{-8.974}{-5000} \\\\t = 0.0018 \ s\\\\t = 1.8*10^{-3} \ s\)

Therefore, the bat and the ball were in contact for 1.8 x 10⁻³ s

The change in the displacement is 70 m

Recall that the displacement is obtained as the product of the velocity and time. We have the velocity at two intervals.

At v1, the displacement can be obtained from;

x1 = 0.5 * 20 = 10 m

At v2, the displacement can be obtained as;

x2 = 2 * 40 = 80 m

Now

Δx = 80 m - 10 m = 70m

Thus the change in the displacement is 70 m

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Answer:

Emergent curriculum is an early education approach where teachers design projects unique to a child or group of kids.

The number of significant digits is 6.

The crucial or important digits that accurately represent the meaning of a certain number are known as the significant figures of that number. 6.658, for instance, has four significant digits. These huge amounts give the numbers accuracy. Additionally, they are known as significant digits.

Given that: -3.22 x 5.1.

The product of  -3.22 and 5.1 is 16.442.

In the number 16.442, there have 6 significant figures. Hence, The number of significant digits is 6.

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When filled with extra air its mass increased to 0.428kg also the top of polythene container mass connected to the perplex box of volume 1000cm³ and the number of times of air inside was 7.2 times. The density of the air filled in the polythene container is approximately 1.25 kg/m³.

The density of air filled in the polythene container can be determined by considering the change in mass and volume of the container before and after filling it with air. Given that the mass of the empty container is 0.419 kg and the mass of the container when filled with extra air is 0.428 kg, and the volume of the perplex box is 1000 cm³.

Calculate the mass of the air inside the container by subtracting the mass of the empty container from the mass of the container when filled with air:

Mass of air = Mass of filled container - Mass of empty container

= 0.428 kg - 0.419 kg

= 0.009 kg

Calculate the volume of the air inside the container using the given number of times the air inside is 7.2:

Volume of air = Volume of perplex box * Number of times air inside

= 1000 cm³ * 7.2

= 7200 cm³

Convert the volume of air to cubic meters (m³) by dividing by 1000000:

Volume of air = 7200 cm³ / 1000000

= 0.0072 m³

Calculate the density of air using the formula:

Density = Mass / Volume

Density = 0.009 kg / 0.0072 m³

≈ 1.25 kg/m³

Therefore, the density of the air filled in the polythene container is approximately 1.25 kg/m³.

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The conductivity of a conductor refers to its ability to conduct electrical current.

A material that has high conductivity allows electrical charges to flow through it easily and with little resistance, while a material with low conductivity does not allow electrical charges to flow as easily and has more resistance.

The conductivity of a conductor is determined by the number of free electrons in the material, as well as how easily these electrons can move through the material.

In a conductor, the atoms are closely packed together and the electrons are not tightly bound to the atoms, allowing them to move freely through the material and carry an electrical charge. This facilitates the flow of electrical current through the material, resulting in high conductivity.

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Here we need to remember the general movement equation:

distance = speed*time.

The plot can be seen at the end, and the equation of motion is:

p(t) = 4.3m + (6.7m/s)*t

Let's define p(t) as the function that gives the position of the horse at the time t.

We know that the position of the horse at t = 0s is:

p(0s) = 4.3m

We also know that the horse has a velocity of 6.7 m/s, then using the distance equation we can write the position as:

p(t) = 4.3m + (6.7m/s)*t

This is a linear equation with a y-intercept of 4.3m and a slope of (6.7m/s).

This is the corresponding equation of motion.

The plot of this can be seen below, where we just draw the line between t = 0s and t = 5s.

Answer:

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Answer:

Thunderbird has fallen behind the Mercedes Benz by 1017.49 m

Explanation:

Given the data in question;

initial speed of the ford u1 = 73.5 m/s

distance d1 = 250 m

t1 = 5.00 s

d2 = 400 m

Now, let the time taken to stop be t2 and deceleration is a1

so,

a1 = u1² / (2 × d1)

a1 = (73.5)² / (2 × 250)

a1 = 10.8045 m/s²

Now , for acceleration is a2

a2 = v² / (2 × d2)

a2 = (73.5)² / (2 × 400)

a2 = 6.7528 m/s²

total time spend = 5 + u/a1 + u/a2

total time spend = 5 + (73.5/10.8045) + (73.5/6.7528)

total time spend = 22.687 sec

Now, distance Mercedes is ahead = 22.687 × 73.5 - 400 - 250

= 1667.4945 - 400 - 250

= 1017.49 m

Therefore, Thunderbird has fallen behind the Mercedes Benz by 1017.49 m

Answer:

W = 9800  N

Explanation:

Given that,

Mass of a car, m = 1000 kg

Acceleration of the car, a = 3 m/s²

We need to find the weight of the car. Weight of an object is given by the product of mass and acceleration due to gravity on the Earth.

W = mg

Put all the values,

W = 1000 kg × 9.8 m/s²

= 9800  N

So, the weight of the car is 9800  N.

Answer:

The force of friction and air resistance slow down the movement of the bus.

c) A forse is changing the motion of the bus

a. Upthrust on the solid:

\(Upthrust = volume of solid * density of fluid * g = 1000 kg/m^3 * volume of solid * 10 m/s^2\)

b. Volume of the solid:

\(volume = mass/density = 1.3 kg / (1000 kg/m^3) = 1.3 x 10^-3 m^3\)

c. Density of the solid:

So,\(density = mass/volume = 1.3 kg / (1.3 x 10^-3 m^3) = 1000 kg/m^3\)

Upthrust is the upward force exerted on an object immersed in a fluid. It is equal to the weight of the fluid displaced by the object and acts in the opposite direction to gravity. Upthrust helps to counteract the weight of the object and keep it afloat.

a. The upthrust on an object immersed in a fluid is equal to the weight of fluid displaced by the object. The weight of fluid displaced can be calculated using the formula:

Weight of fluid = volume of fluid * density of fluid * g

Since the solid is completely immersed in water, the volume of the fluid displaced is equal to the volume of the solid. The density of water is given as 1000 kg/m^3, and the acceleration due to gravity is given as\(10 m/s^2.\)

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Answer:

The answer is D

Explanation:

The Law of effect states that if a benefit comes out of a action the action is most likely to be repeated

Answer:

reflection

Explanation:

it is a regular reflaction of light

Answer:

Explanation:

Wavelength = 100m. Speed = V. 2.) Frequency = 20 Hz. Wavelength = 200 m. Speed = ... 2=1.7m. F=Y/2 f=2×10. 5.) Wavelength = 502 km. Speed= 100 m/s.