Lab: Motion with Constant Acceleration Assignment: Lab Report

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Answer:

a) 14.76 psi

b) 15.59 psi

c) 15.68 psi

d) The solution method is reasonable

Explanation:

The formula for maximum pressure is given as using Bernoulli's Equation :

Pmax = p + 1/2ρV²

Where ρ = Density = 0.002376slug per cubic foot

p = Atmospheric pressure in pounds per cubic foot = 14.6959 pounds per square inch

Converting pounds per square inch to pounds per square foot

= 1 pounds per square inch = 144 pounds per square foot

14.6959 pounds per square inch =

14.6959 pounds per square inch × 144 pounds per square foot

= 2116.2096 pounds per square foot

V = Velocity of the flow = Speed limit.

(a) For safety, the pit lane speed limit is 60 mph. At this speed, what is the maximum pressure on his hand?

Our speed limit is 60 mph

We convert to ft/s

1 mph = 1.46667 ft/s

60 mph =

60 mph × 1.46667 ft/s = 88 ft/s

Pmax = p + 1/2ρV²

Pmax = 2116.2096 + (0.5 × 0.002376 × 88²)

Pmax = = 2125.409472 Ib/ft² =

Converting to psi.

= 2125.409472/144

= 14.759788 psi

≈ 14.76 psi

(b) Back on the race track, what is the maximum pressure when he is driving his IndyCar at 225 mph?

Our speed limit is 225 mph

We convert to ft/s

1 mph = 1.46667 ft/s

225 mph =

225 mph × 1.46667 ft/s = 330 ft/s

Pmax = p + 1/2ρV²

Pmax = 2116.2096 + (0.5 × 0.002376 × 330²)

Pmax = 2245.5828 Ib/ft² =

Converting to psi.

= 2245.5828/144

= 15.594325 psi

≈ 15.59 psi

(c) On the straightaways, the IndyCar reaches speeds in excess of 235 mph.

Our speed limit is 235 mph

We convert to ft/s

1 mph = 1.46667 ft/s

235 mph =

235 mph × 1.46667 ft/s = 344.667 ft/s

Pmax = p + 1/2ρV²

Pmax = 2116.2096 + (0.5 × 0.002376 × 344.667²)

Pmax = = 2257.338465 Ib/ft² =

Converting to psi.

= 2257.3384654/144

= 15.675961562 psi

≈ 15.68 psi

d) For this speed, is your solution method for parts (a and (b) reasonable? Explain.

It is important to note that: the value of 1 atmosphere = 14.696 psi

If we look at the solution above, we can see that the maximum pressure of the speeds in question a, b, c which are: 14.76 psi, 15.59 psi, 15.68 psi respectfully are just a little bit outside the range of 1 atmosphere.

Hence, this is not significant enough to cause damage or harm the hands of Tony Kanaan therefore, my solution method for parts (a and (b) reasonable is reasonable.

Answer:

 θ = 35.7º

Explanation:

For this exercise we must use the law of Malus

          I = I₀ cos² θ

where the angle is between the two polarizers.

When the unpolarized light from the sun reaches the first polarizer, only the light polarized in the direction manages to be transmitted, which is why

          I₁ = I₀ /2

this light reaches the second polarizer

           I₂ = I₁ cos² θ

           I₂ = I₀/2    cos² θ

           cos² θ = 2 I₂ / Io

indicate that the transmitted light is 33% = 0.33 I₀

          cos² θ = 2 0.33

          cos θ = √0.66

          θ = cos⁻¹ 0.8124

          θ = 35.7º

The two sentences that best state the central ideas of Wiesel's speech are:

Elie Wiesel's speech focuses primarily on the Holocaust and the atrocities that were committed during that time, particularly at Auschwitz. The central ideas of his speech are:

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The absolute pressure at an ocean depth of 1.0 x 10^3 m is 1.002 x 10^8 Pa.

Hydrostatic pressure is the pressure that a fluid exerts on a surface due to the weight of the fluid above it. It is the result of the force of gravity acting on a column of fluid, and it is directly proportional to the height of the column of fluid and the density of the fluid.

The absolute pressure at an ocean depth of 1.0 x 10^3 m can be calculated using the hydrostatic pressure equation:

P = ρgh + Po

where:

P is the absolute pressure at the given depth

ρ is the density of the water

g is the acceleration due to gravity (assumed to be 9.81 m/s²)

h is the depth of the ocean

Po is the atmospheric pressure at the surface (assumed to be 1.01 x 10^5 Pa)

Substituting the given values, we get:

P = (1.025 x 10^3 kg/m³) x (9.81 m/s²) x (1.0 x 10^3 m) + 1.01 x 10^5 Pa

P = 1.025 x 9.81 x 10^6 Pa + 1.01 x 10^5 Pa

P = 1.002 x 10^8 Pa.

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Voltage depends on the amount of resistance, current according to the Ohm's law, and, by definition, is the measurement of electrical pressure.

According to the Ohm's Law,  the current through a conductor between two points is directly proportional to the voltage across the two points.

Mathematically,

V ∝ I

V = IR

where, R is the resistance of the conductor and I is the current flowing in the conductor. So, the voltage depends on the amount of resistance and current.

Also, Voltage is the pressure from an electrical circuit's power source that pushes charged electrons (current) through a conducting loop, enabling them to do work such as illuminating a light.

Hence All of the above option in the given question are true.

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Answer:

1. The atoms in the collapsing cloud would move closer to one another.

2. Gravity

Explanation:

1. This is because there is a force of attraction between the atoms of the collapsing cloud. Thus, the atoms in the collapsing cloud would move closer to one another.

2. This is because gravity is the force of attraction between masses. Now, the collapsing cloud of dust contains mass of atoms, and as the atoms come together due to gravity, they form a larger mass which develops into a star.

(a) The atoms in the collapsing cloud would move closer to one another.

(b)  Due to the force of interaction between masses that is gravity

(a) The atoms will come closer

This is because there is a force of attraction between the atoms of the collapsing cloud. Thus, the atoms in the collapsing cloud would move closer to one another.

(b) Due to the gravitational attraction

This is because gravity is the force of attraction between masses. Now, the collapsing cloud of dust contains mass of atoms, and as the atoms come together due to gravity, they form a larger mass which develops into a star.

Hence

(a) The atoms in the collapsing cloud would move closer to one another.

(b)  Due to the force of interaction between masses that is gravity

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Answer:

Depends on position

Explanation:

Rest:

A body is said to be at rest, if it does not change its position with respect to its surroundings.

Motion:

A body is said to be in motion, if it changes its position with respect to its surroundings.

The state of rest and motion is relative

a) , it would take approximately 0.4638 seconds for the magnetic energy to decay to 13% of its maximum value.. b)  the voltage across the inductor at the instant when the magnetic energy has decayed to 13% of its maximum value is 6.4 times the initial current in the circuit.

An RL circuit consists of a resistor (R) and an inductor (L) connected in series. When a battery is connected to the circuit, the inductor stores magnetic energy, which creates a magnetic field. When the battery is removed, the magnetic energy in the inductor begins to decay, and the magnetic field collapses, inducing a voltage across the inductor.

a) The time constant (τ) of an RL circuit is given by the formula:

τ = L/R

where L is the inductance in henries, and R is the resistance in ohms. The time constant represents the time required for the magnetic energy to decay to approximately 36.8% of its maximum value.

In this case, L = 5 H and R = 22 ohms. Therefore, the time constant of the circuit is:

τ = L/R = 5 H / 22 ohms = 0.2273 seconds

To calculate the time required for the magnetic energy to decay to 13% of its maximum value, we can use the formula:

t = -ln(0.13) * τ

where ln is the natural logarithm. Plugging in the values, we get:

t = -ln(0.13) * 0.2273 seconds

t = 0.533 seconds

Therefore, it would take approximately 0.533 seconds for the magnetic energy in the inductor to decay to 13% of its maximum value.

b) To find the voltage across the inductor at that instant, we can use the formula:

V = L * di/dt

where V is the voltage across the inductor, L is the inductance, and di/dt is the rate of change of the current in the circuit.

At the instant when the magnetic energy in the inductor has decayed to 13% of its maximum value, the current in the circuit is given by:

I = I0 * e^(-t/τ)

where I0 is the initial current, and e is the mathematical constant approximately equal to 2.71828. Plugging in the values, we get:

I = I0 * e^(-0.533/0.2273)

I = 0.292 * I0

Therefore, the rate of change of current (di/dt) at that instant is given by:

di/dt = I / τ = (0.292 * I0) / 0.2273

Now, we can calculate the voltage across the inductor:

V = L * di/dt = 5 H * (0.292 * I0 / 0.2273)

V = 6.4 * I0 volts

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Answer:The amount of energy carried by radio waves is enough to provide images but not enough to kill cells.

Explanation:

The reason of MRI should be useful is that the energy amount that should be carried out via the radio waves.

It refers to the medical imaging technique that should be applied in the radiology to create the pictures with respect to the anatomy and the process of physiological with related to the body.

Also, it is applied for strong the magnetic field, gradient related to the magnetic field, also the radios waves for produce image in the body organs.

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The mass of each car is parked 4.7 m apart on a car dealer's showroom floor. The force of gravity between the cars is 4.5×10⁻⁶ N is

1220 kg.

An object's inertia, a fundamental property, is measured by its mass, a fundamental indicator of the volume of substance inside the thing. Definitions of mass can seem circular since it is such a fundamental quantity and is challenging to define in terms of another.

Given:

The distance between cars, d = 4.7 meters,

The force of gravity, f = 4.5 *\(10^{-6}\) N.

Calculate the mass by the following formula,

\(m=\sqrt{f\times r^2 /G}\)

Here, m is mass and G is gravitational constant (G = 6.6743*  \(10^{-11}m^3/kgs^2\)),

Substitute the values,

m = \(\sqrt{4.5 * 10^{-6} *4.7^2 / 6.6743 *10^{-11}}\)

m = 1220 kg

Therefore, the mass of each car parked 4.7 m apart on a car dealer's showroom floor. The force of gravity between the cars is 4.5 X 10⁻⁶ N is

1220 kg

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Answer:

\( \sf{B. Two \: quantities \: can \: have \: the \: same \: dimensions \: but \: different \: unit. }\)

The net work must be done on the particle to cause it to move to the right at 47 m/s is 59.4J, The spring constant of spring is 281.75N/m and the length of spring stretched is 0.02m.

(1.)Given the mass of particle (m) = 75g = 0.075kg

The velocity of particle (Vl) towards left = 25m/s

The velocity of particle towards right (Vr) = 47m/s

The work done to move the particle from left to right = W

Here work done can be considered as change in Kinetic energy then:

W = (KEf - KEi)

\(W = 1/2*m*Vr^2 - 1/2*m*Vl^2\)

\(W = (1/2)*75 g*(47 m/s)^2 - (1/2)*75 g*(25 m/s)^2\)

\(W = (1/2)*75 g*(1584 m^2/s^2)\)

W = 59.4J

Therefore, the net work required to cause the particle to move from 25 m/s to 47 m/s is 59.4 J.

(2.) Given the length of spring = 8cm = 0.08m

The mass of block = 2.3kg

The extension in spring = 16cm = 0.16m

Let the spring constant = k

(A) We know that the force exerted in stretching the spring = F = kx where

F = mg then

mg = kx

2.3 * 9.8 = k * (0.16 - 0.08)

k = 22.54/0.08 = 281.75N/m

(B) The mass of new block = 3kg

Let the extended spring = x'

Then mg = kx' such that:

3 * 9.8 = 281.75 * x'

x' = 29.4/281.75 = 0.10m

the extension in spring = 0.10 - 0.08 = 0.02m

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Answer:

72km/hr

Explanation:

Speed in Km is usually represented in hours. so if the car is in constant velocity, and if the car travels 36km in 30 min then it travels 72km in 1 hour.

so the speed of the car is 72km/hr

The diameter of the smaller end of the pipe is approximately 0.78 meters.

To determine the diameter of the smaller end of the pipe, we can use the principle of conservation of mass. According to this principle, the mass flow rate of water should remain constant throughout the pipe.

The mass flow rate is given by the equation:
Mass flow rate = density of water * cross-sectional area * velocity

Since the density of the water remains constant, we can write:
Cross-sectional area1 * velocity1 = Cross-sectional area2 * velocity2

Given that the velocity1 is 13 m/s, the diameter1 is 1.2 m, and the velocity2 is 30 m/s, we can solve for the diameter2 using the equation:
(pi * (diameter1/2)^2) * velocity1 = (pi * (diameter2/2)^2) * velocity2

Simplifying the equation:
(1.2/2)^2 * 13 = (diameter2/2)^2 * 30

Calculating the equation:
(0.6)^2 * 13 = (diameter2/2)^2 * 30

0.36 * 13 = (diameter2/2)^2 * 30

4.68 = (diameter2/2)^2 * 30

Dividing both sides by 30:
0.156 = (diameter2/2)^2

Taking the square root of both sides:
0.39 = diameter2/2

Multiplying both sides by 2:
0.78 = diameter2

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The following describes a change to Earth’s surface due to weathering include the following below:

A. plants creating a crack in a rock formation

B. rocks along the beach being reshaped by wave action.

F. glaciers scraping rocks across the land

This is referred to as the process which involves the breaking down of rocks and minerals on Earths surface as a result of certain factors such as rain, glacier etc. They form cracks when they come in contact with rocks afterf a given period of time before they are disintegrated.

Weathering occurs when plants creating a crack in a rock formation and also when the rocks along the beach are being reshaped by wave action.It also involves the  glaciers scraping rocks across the land which is therefore the reason why option A, B and F was chosen as the correct choice.

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The options are:

A. plants creating a crack in a rock formation

B. rocks along the beach being reshaped by wave action

C. sand being blown to a new location by the wind

D. sediments moved from place to place by a river

E. rain washing soil down a steep hill

F. glaciers scraping rocks across the land

The mass of the helium sample is approximately 0.187 g.

To solve this problem, we can use following formula:

w = nR(T2 - T1)

We can rearrange this formula to solve for n:

n = w / (R * (T2 - T1))

To find the mass of the helium sample, we can use following formula:

m = n * M

where m is the mass of the sample, n is  number of moles of gas, and M is the molar mass of helium.

Substituting the given values into the first equation, we get:

70 J = n * 8.31451 J/mol*K * (358 K - 283 K)

Simplifying this equation, we get:

n = 0.0467 mol

Substituting this value into the second equation, we get:

m = 0.0467 mol * 4 g/mol = 0.187 g

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Two parts that increase the reaction rate of a chemical reaction are concentration of reactants and increase in temperature.

There are several factors that can increase the rate of a chemical reaction, but two common parts are:

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Answer:

Explanation:

To determine the displacement of the jogger using a graphical method, we can create a vector diagram to represent the individual components of the jogger's motion. We can then find the resulting displacement by adding the vectors end to end.

Assuming that "50cm = 2km" is the scale, we can convert the distances to represent them on the diagram:

2.0 km due east = 100 cm

10 km at 45° north of east = 70.71 cm (using Pythagorean theorem)

0.5 km due north = 25 cm

Next, we can plot the vectors on a coordinate grid, with east as the x-axis and north as the y-axis.

The jogger's first move, 2 km due east, can be represented by a vector starting from the origin and extending 100 cm to the right.

The second move, 10 km at 45° north of east, can be represented by a vector starting from the end of the first vector and extending 70.71 cm up and to the right.

The third move, 0.5 km due north, can be represented by a vector starting from the end of the second vector and extending 25 cm straight up.

Finally, to find the displacement, we add the vectors end to end. The displacement is the vector that starts at the origin and extends to the endpoint of the final vector. The magnitude of the displacement can be found using the Pythagorean theorem.

Using this method, we can determine the displacement of the jogger using a graphical method and the given scale.

Answer:

c. Bullfrogs

Explanation:

I did this lesson and got it right! :)

Repeated rhythmic pattern best describes the introduction to Imperial March, heard in this excerpt.

It first appeared in the second movie, The Empire Strikes Back, also is known as the leitmotiv, a recurring motif connected to certain people or incidents in a play. The Imperial Motif, a motif for the Empire that appeared in the previous movie, is replaced by the Imperial March in the sequel.

The influx of minor chords, especially those that nearly sound normal, conveys the idea of a deeply deviant, malevolent worldview. For fun, I transposed these warped chords in the song down a semitone so you could hear how the march will sound with the more traditional chords.

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It would require 28618.56 J of heat to raise the temperature of 90 g of water from 12°C to 88°C.

Given that:

Mass of water m = 90g

Initial temperature = 12°C

Final temperature = 88°C,

The amount of heat required to raise the temperature of a substance is given by:

Q = mCΔT

Where Q is the amount of heat, m is the mass of the substance, C is the specific heat capacity of the substance, and ΔT is the change in temperature.

Note that: the specific heat capacity of water is 4.184 J/g°C.

So, for raising the temperature of 90 g of water from 12°C to 88°C, we have:

Q = mCΔT

Q = (90 g) × (4.184 J/g°C) × (88°C - 12°C)

Q = (90 g) × (4.184 J/g°C) × (76°C)

Q = 28618.56 J

Therefore, the required heat is 28618.56 Joules.

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Answer:

No because it could run out of gas quicker or get into a reck.

Explanation:

Answer:

where u put it last time or retrace ur steps to where u last put it

Answer:

B. its consist of waves of varying lengtu

Answer:

the speed of the textbook just before it hits the floor is 2.4 m/s

Explanation:

  Given the data in the question;

mass of pulley = 1.50 kg

radius of pulley = 0.240 m

mass of text book = 2.0 kg

height from which text book was released = 0.9 m

angular speed of the pulley = 10.0 rad/s

the speed of the textbook just before it hits the floor = ?

the speed of the textbook v = angular speed of the pulley × radius of pulley

we substitute

v = 10.0 rad/s × 0.240 m

v = 2.4 m/s

Therefore, the speed of the textbook just before it hits the floor is 2.4 m/s

Answer:

A plain mirrior is a mirrior with flat reflective surface.

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