A 210-kg woorden raft floats on a lake. When a 75-kg man stands on the raft, it sinks 5.0 cm deeper into the water. When he steps off, the raft vibraties for a while. A. What is the frequency of vibration? B. What is the total energy of vibration? Hint: ignore damping.

Answers

Answer 1

Answer:

A: The frequency of the vibration is 1.3329 Hz

B: The total energy of the vibration is  18.39375 J

Explanation:

The force of the man his weight causes the raft to sink, and that causes the water to put a larger upward force on the raft.  This extra force is a restoring force, because it is in the opposite direction of the force put on the raft by the man.  Then when the man steps off, the restoring force pushes upward on the raft, and thus the raft – water system acts like a spring, with a spring constant found as follows:

k= F/x = ((75 kg) * (9.81 m/s²))/(5*10^-2 m) = 14715 N/m

The frequency of the vibration is determined by the spring constant (k) and the mass of the raft (210kg).

fn = 1/2π * √(k/m)  = 1/2π * √(14715 / 210) = 1.3329 Hz

The frequency of the vibration is 1.3329 Hz

b)

Since the gravitational potential energy can be ignored, the total energy will be :

Etot = 1/2 k* A² = 1/2 * (14715 )*(0.05)² = 18.39375 J

The total energy of the vibration is  18.39375 J


Related Questions

An elevated weighing 15,00 Newton’s is raised one story in 50 seconds. If the distance stories is 3.0 meters how much power is required of the motor

Answers

Power required for motor to raise elevated weighing 1500 newton for a distance of 3 meter in 50 second is 90 watt.

Solution:

By using power force formula,  

Power is obtained by multiplying force and velocity

[tex]\text { Power }=\text { Force } \times \text { Velocity }[/tex]

Velocity can be calculated by dividing distance by time.

[tex]\begin{array}{l}{\text {Velocity}=\frac{\text {Distance}}{\text {Time}}} \\ {\text {Power}=\text {Force} \times \frac{\text {Distance}}{\text {Time}}}\end{array}[/tex]

So for a force of 1500 newton with distance 3 meter for a time period  50 second, power is given as,

[tex]\text { Power }=1500 \times \frac{3}{50}=150 \times \frac{3}{5}=30 \times 3 = 90[/tex]

Power = 90 watt

Two airplanes leave an airport at the same time. The velocity of the first airplane is 740 m/h at a heading of 25.3◦. The velocity of the second is 570 m/h at a heading of 82◦.
How far apart are they after 1.5 h? Answer in units of m.

Answers

Final answer:

The distance between the two airplanes after 1.5 hours is 255 m.

Explanation:

To find the distance between the two airplanes after 1.5 hours, we first need to determine the displacement of each airplane. Displacement is a vector quantity that represents the change in position. We can calculate the displacement of the first airplane using the equation:

Displacement = Velocity × Time

Substituting in the given values:

Displacement1 = (740 m/h) × (1.5 h) = 1110 m

Similarly, we can calculate the displacement of the second airplane:

Displacement2 = (570 m/h) × (1.5 h) = 855 m

Finally, we can find the distance between the two airplanes by subtracting the displacements:

Distance = Displacement1 - Displacement2 = 1110 m - 855 m = 255 m

The net Forward force on the propeller of a 3.2 KG model airplane is 7.0 N. What is the acceleration of the airplanes

Answers

Answer:

[tex]2.1875 ms^{-2}[/tex]

Explanation:

Newton's second law: [tex]F=ma[/tex] Let's substitute and solve for whatever is left behind:[tex]7.0N= 3.2kg *a[tex]a =\frac {7.0}{3.2} \frac{N}{kg} = 2.1875 \frac{kg\frac{m}{s^2}}{kg}=2.1875 \frac{m}{s^2}[/tex]

The value of acceleration of the airplane is [tex]2.19 \;\rm m/s^{2}[/tex].

Given data:

The mass of propeller model is, m = 3.2 kg.

The net force on the propeller model is,  F = 7.0 N.

Apply the Newton's second law, which says that the applied force on an object is equal to the product of mass of object and acceleration of object, caused due to applied force.

Then the expression is,

[tex]F = m \times a[/tex]

here, a is acceleration.

Solving as,

[tex]7 = 3.2 \times a\\a=2.19 \;\rm m/s^{2}[/tex]

Thus, the required value of acceleration of the propeller model is [tex]2.19 \;\rm m/s^{2}[/tex].

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A man moving at 2 m/s accelerates at a rate of 3 m/s² for 2.5 seconds. What is the new velocity of the man?​

Answers

Final answer:

Using the kinematic equation v = u + at, the man's new velocity is found to be 9.5 m/s after accelerating at 3 m/s² for 2.5 seconds.

Explanation:

To calculate the new velocity of the man after accelerating, we apply the basic kinematics equation v = u + at, where:

v is the final velocity (which we are trying to find).u is the initial velocity.a is the acceleration.t is the time over which the acceleration occurs.

Given that the man's initial velocity (u) is 2 m/s, acceleration (a) is 3 m/s², and the time (t) is 2.5 seconds, we substitute these values into the equation:

v = 2 m/s + (3 m/s²)(2.5 s)

This yields:

v = 2 m/s + 7.5 m/s

The new velocity of the man is:

v = 9.5 m/s

A ball is thrown straight up at an initial speed of 9.8m/s and, on returning to your hand, hits it moving downward at the same speed. If the whole trip took 2.0s, determine the ball’s (a) average acceleration and (b) average velocity.

Answers

Answer:

-9.8 m/s²

0 m/s

Explanation:

Average acceleration is the change in velocity over change in time.

a = Δv / Δt

a = (-9.8 m/s − 9.8 m/s) / 2.0 s

a = -9.8 m/s²

Average velocity is the change in position over change in time.

v = Δx / Δt

v = (0 m − 0 m) / 2.0 s

v = 0 m/s

Final answer:

In terms of Physics, the ball's average acceleration is 0 m/s² and the average velocity is also 0 m/s due to the ball returning to its initial position, making the total displacement 0.

Explanation:

The subject of this question is Physics and it would be typically asked at the High School level.

(a) The ball’s average acceleration during the entire journey can be determined by the equation for motion which is: a = Δv/Δt. Here, Δv (the change in velocity) is 0 as the ball starts and ends at the same speed (it just changes direction, which is not considered in average acceleration), and Δt is the time it takes for the journey, which is 2.0 seconds. Therefore, a=0/2.0 = 0 m/s².

(b) The average velocity of an object is the total displacement (total distance travelled in a specific direction) divided by the amount of time taken to travel this distance. In this case, the ball returns to the starting point, making the total displacement 0. Therefore, the average velocity is 0/2.0 = 0 m/s.

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Measuring spoons are used when measuring
less than how much?​

Answers

Measuring spoons are used when measuring less than 1/4 cup

We can see here that measuring spoons are used when measuring less than 1/4.

What is Measuring spoon?

Measuring spoons are used when measuring less than one tablespoon or teaspoon of an ingredient. These spoons are designed to provide accurate measurements for small quantities of dry or liquid ingredients used in cooking and baking. Measuring spoons typically come in sets, with the most common sizes being 1 tablespoon (tbsp), 1 teaspoon (tsp), 1/2 teaspoon, 1/4 teaspoon, and sometimes 1/8 teaspoon.

When recipes call for precise measurements of ingredients, especially in baking, measuring spoons are essential to ensure the right balance of flavors and the desired outcome of the dish. They are particularly useful when dealing with potent or costly ingredients, as small variations in quantities can significantly impact the final result.

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A telephone wire has a current 20A flowing through it . How long does it take for a charge of 15 C to pass through the wire?

Answers

Charge = Current/time
Q = It
t = Q/I = 15/20 = 0.75 s

It will take 0.75 s for a charge of 15 C to flow through the wire.

The quantity of electricity flowing through a wire is related to current and time according to the following equation:

Q = It

Where

Q is the quantity of electricity

I is the current

t is the time

With the above formula, we can calculate the time taken for the 15 C to flow through the wire. This can be obtained as follow:

Quantity of electricity (Q) = 15 C

Current (I) = 20 A

Time (t) =?

Q = It

15 = 20 × t

Divide both side by 20

[tex]t = \frac{15}{20}\\\\[/tex]

t = 0.75 s

Therefore, it will take 0.75 s for a charge of 15 C to flow through the wire.  

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What happens to the force between the spheres when you increase the mass of one of the spheres?
What happens to the force between the spheres when you increase the mass of both spheres?

Answers

The force between the spheres increases when the mass increases in one of the spheres.

Explanation:

            Newton law of universal gravity extends gravity beyond the earth's surface. This gravity depends directly on the mass of both objects and is inversely proportional to square of distance between their centers.  

                   [tex]\bold{F=\frac{G \times\left(m_{1} \times m_{2}\right)}{\left(r^{2}\right)}}[/tex]

          Since gravity is directly proportional to “mass of both interacting objects”, stronger objects with greater gravitational force attract. If the mass of one object increases, gravity between them also increases. For example, if an object's mass of one double, force between them also doubles.  

Answer: The force between two spheres increase when mass of one or both spheres are increased.

Explanation:

According to universal law of gravitation “every body in the universe attracts every other body with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between them”.

It is given by the expression

[tex]F=(GM_1 M_2)/r^2[/tex]  

Where G is the gravitational constant, [tex]M_1 ,M_2[/tex] are the masses of the bodies and  r is the distance between them.

In the question two conditions are given.

Mass of one object is increasedMasses of both objects are increased.

Since force between two objects is directly proportional to the masses, the force increases in both cases.

friction changes the energy of an object from kinetic energy to _____________ energy?
electric
stored
solar
heat
wind​

Answers

I think it’s solar but don’t quote me

Friction converts kinetic energy into heat energy as surfaces in contact oppose each other's motion, resulting in an increase in the system's thermal energy. The correct answer is: heat.

Friction changes the energy of an object from kinetic energy to heat energy. When surfaces in contact move relative to each other, the friction between the two surfaces converts kinetic energy into heat. This conversion occurs because the force of friction acts against the motion, causing the surfaces to heat up due to the energy transfer.

Kinetic energy is the energy which a body possesses by virtue of being in motion. However, when there is kinetic friction, the irregularities on the two sliding surfaces interact to convert some of the mechanical energy into thermal energy, which is the energy stored in the motion of atoms and molecules that make up a material. The heat energy can raise the thermal energy of the system, resulting in an increase in temperature of the objects involved.

How long did it take beagle to sail from Tahiti back to Falmouth, England?

Answers

Answer:

On 2 October 1836, the Beagle entered the English port of Falmouth after a voyage which had lasted for four years, nine months and five days.

The Beagle voyage from Tahiti to Falmouth, England took five years.

The Beagle took five years to sail from Tahiti back to Falmouth, England as part of Charles Darwin's famous voyage on the HMS Beagle from 1831 to 1836.

pls help me solve this physics question​

Answers

Answer:

C. 1.4 m/s

Explanation:

Energy is conserved:

Initial energy = final energy

At P, the pendulum has only gravitational potential energy.

At Q, the pendulum has only kinetic energy.

PE = KE

mgh = ½mv²

v = √(2gh)

Given h = 0.1 m:

v = √(2 × 9.8 m/s² × 0.1 m)

v = 1.4 m/s

Answer:

1.4

Explanation:

Current functional magnetic resonance imaging (fMRI) technology allows researchers to:
a. Predict the likelihood of developing Alzheimer's disease.
b. Diagnose most forms of mental illness.
c. Identify selected sentences that a person reads in a scanner.
d. Read a person's private thoughts at a distance.

Answers

Final answer:

fMRI technology allows researchers to analyze brain activity by tracking blood flow changes related to neural activity. It can identify selected sentences that a person reads in a scanner, but it cannot predict Alzheimer's, diagnose most mental illnesses, or read private thoughts at a distance.

Explanation:

Current functional magnetic resonance imaging (fMRI) technology enables researchers to observe and analyze changes in the brain's activity over time by tracking blood flow and oxygen levels. fMRI is utilized for a variety of medical and psychological assessments. It is highly effective at mapping brain function and determining the functioning of various regions involved in thought and motor control. Specifically, fMRI can measure changes in blood flow associated with neural activity and can thereby generate a detailed map showing the most active parts of the brain during a given task.

Answering the student's multiple-choice question, among the provided options, fMRI technology can c. Identify selected sentences that a person reads in a scanner. The ability to predict the development of Alzheimer's, diagnose most forms of mental illness, or read a person's private thoughts at a distance is not explicitly achievable with the current fMRI technology.

Which of the following is derived unit?

A: g (grams, mass)

B: m (meters,length)

C: s (seconds, time)

D: m2 (square meters, area)

Answers

Answer:

D: m² (square meters, area)

Explanation:

Derived units are a combination of SI base units.  m² is the only option that's a combination of base units (meters times meters).

A central purple circle labeled N a has 3 concentric rings around it. The inner ring has 2 small green spheres. The middle ring has 8 small green spheres. The outer ring has 1 small green sphere. Does this atom satisfy the octet rule? Why or why not?

Answers

Answer:

This atom doesn’t satisfy octet rule

Explanation:

To satisfy octet rule the outermost shell should have 8 electrons. This is called octet electronic configuration which makes the atom stable. When participating in chemical reactions atoms tend to lose or gain electrons or share electrons like in a covalent bond all to achieve the octet configuration.

In this atom there are three shells and 11 electrons in total. Maximum number of electrons that can be present in the first shell is two and in this atom the first shell contains that maximum electrons. The second can contain maximum 8 electrons. In this atom the second shell is fully filled with 8 electrons.

For octet rule to be satisfied the outermost shell or the valence shell should contain 8 electrons. But in this atom the outermost shell has 1 electron. This means that the atom doesn’t satisfy octet rule. In order to obtain the octet configuration it should lose 1 electron.

Answer:

Answer

Explanation:

Sample Response: No, it does not, because the octet rule says that an atom needs to have eight electrons in its valence shell to be stable. The exceptions are hydrogen and helium, which need only two electrons. This atom has only one electron.

A particle starts at the origin and moves away from it in a straight line. After 1.6 seconds, it is 12.8 meters from the origin. It then reverses direction due to a force field with a like charge. After 3.8 seconds total, the particle is at −9.23 m. What is the average velocity of the particle? 3.8 m/s −5.8 m/s −2.4 m/s 13.8 m/s

Answers

Answer:

Average velocity of the particle is[tex]-2.4 m/s[/tex]

Explanation:

Average velocity is defined as the total velocity divided by the total time. It is given  by the equation[tex]v_av= \frac{displacement}{(total time taken)}[/tex]

In the given problem the particle starts from origin, travels [tex]12.8 m[/tex] and then reverses direction and travels till [tex]-9.23 m[/tex] within a total time of [tex]3.8 seconds.[/tex]

Displacement is defines as the shortest distance between initial and final point.  

Here displacement = [tex]- 9.23 m[/tex]

total time=[tex]3.8 s[/tex]

[tex]v_av=-9.23/3.8=-2.4 m/s[/tex]

if a particle moving in straight line such that its position varies with time as x=5(t-2) + 6(t-2)^2 ,then intial acceleration is​

Answers

Answer:

12

Explanation:

x = 5 (t − 2) + 6 (t − 2)²

x = 5t − 10 + 6 (t² − 4t + 4)

x = 5t − 10 + 6t² − 24t + 24

x = 6t² − 19t + 14

Velocity is the derivative of position with respect to time:

v = dx/dt

v = 12t − 19

Acceleration is the derivative of velocity with respect to time:

a = dv/dt

a = 12

The particle's acceleration is constant at 12 (use appropriate units).

A Porsche challenges a Honda to a 500 m race

Answers

A Porsche will always win no matter what

the amount of water returning to the earth through precipitation is blank the amount of water leaving the earth through evaporation

Answers

Answer:

The amount of water entering the earth through precipitation is equal to the amount of water leaving earth through transpiration.

Explanation:

Rates of precipitation and evaporation vary widely according to regions and seasons. But in a global scale the rates are equal. Thus the total amount of earth’s water maintains its constancy even though there is a continuous change in forms of water.

Evaporation and transpiration are the forms in which Water leaves the earth and it returns to the earth in various forms of precipitation like rain, snow, dew, fog etc. This water then reaches ocean and land. The water that reaches the land flows as surface run off into rivers and water bodies or seep into the ground replenishing the ground water table.

Final answer:

The water cycle is a balanced system that allows water to circulate between the earth's oceans, atmosphere, and land. Water leaves the earth through evaporation/sublimation, reenters the atmosphere, condenses, and falls back to the earth through precipitation. The amount of water returning to the earth matches the amount leaving it, maintaining equilibrium.

Explanation:

The water cycle, also known as the hydrological cycle, is a continuous process by which water circulates between the earth's oceans, atmosphere, and land. This cycle involves several key stages such as evaporation/sublimation, condensation/precipitation, and surface runoff/snowmelt.

Firstly, water from the land and oceans enters the atmosphere through evaporation or sublimation, where it condenses into clouds. This condensation ultimately falls back to the earth's surface as precipitation, such as rain or snow. Therefore, the amount of water returning to the earth through precipitation equals the amount of water leaving the earth through evaporation.

Once the water hits the earth, some of it may infiltrate into the soil or enter freshwater bodies. In most natural terrestrial environments, rain encounters vegetation before it reaches the soil surface. Some of this water evaporates immediately from the surfaces of plants in a process known as evapotranspiration.

After precipitation, water may travel over the surface as runoff into various bodies of water, eventually reentering the ocean, thus completing the cycle. In conclusion, the water cycle is a balanced system with the water leaving and coming back to the earth in similar quantities.

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Traveler A starts from rest at a constant acceleration of 6 m/s^2. Two seconds later, traveler B starts with an initial velocity of 20 m/s at the same acceleration of 6 m/s^2. as measured by a, at what time will traveler B overtake traveler A?

a. 0.4s
b. 1.5s
c. 2.0s
d. 2.5s
e. 3.5s

Answers

Answer:

3. 3.5 s

Explanation:

The position of traveller A is given by the equation:

[tex]x_A(t) = \frac{1}{2}a t^2[/tex]

where

[tex]a = 6 m/s^2[/tex] is the acceleration of A

t is the time measured from when A started the motion

The position of traveller B instead is given by

[tex]x_B(t) = u_B (t-2) + \frac{1}{2}a(t-2)^2[/tex]

where a (acceleration) is the same as traveller A, and

[tex]u_B = 20 m/s[/tex]

is B's initial velocity. We can verify that the formula is correct by substituting t=2, and we get [tex]x_B=0[/tex], which means that B starts its motion 2 seconds later.

Traveller B overtakes traveller A when the two positions are the same, so:

[tex]x_A = x_B\\\frac{1}{2}at^2 = u_B (t-2) + \frac{1}{2}a(t-2)^2\\\frac{1}{2}at^2 = u_B t - 2u_B +\frac{1}{2}at^2 +2a-2at\\u_Bt-2at = 2u_B-2a\\t=\frac{2u_B-2a}{u_B-2a}=\frac{2(20)-2(6)}{20-2(6)}=3.5 s[/tex]

It takes a pulse of light 35 microseconds to travel down a 5.0 km length of fiber optic cable. How fast does light move through the cable (in m/s)?

Answers

It takes 7 microseconds for each km

In a wet cell battery what is the electrolyte?
copper

liquid acid

zinc

Answers

Answer:

the liquid acid

Explanation:

This because electrolytes are supposed to be in a liquid form.

Answer:

Liquid Acid

Explanation:

The wet cell battery implies that it has an liquid inside.

The Copper and the Zinc are also the  compounts that will react in the battery as the semi-reactions implies:

Cu2+(aq) + 2e- --> Cu0

Zn2+(aq) + 2e- --> Zn0

The electrolyte is a substance present in the battery that will help the electricity to flow to the ion of interest and will not participate in the reaction, the acid should work as the electrolyte in this case.

5. What happens to the arrangement of water molecules as ice melts?
A Molecules gain enough energy to escape as vapor.
B Molecules release enough energy to escape as vapor.
C Molecules gain enough energy to move from their fixed positions.
D Molecules release enough energy to move from their fixed positions.

Answers

Answer: I am pretty sure the answer is B

Explanation: If not sorry bro.

a physics student drops a rock from a 55m cliff. How long does it take to hit the ground?

Answers

Answer: 9.9 seconds

Explanation:

that's just how long it takes

To hit the ground it takes approximately 3.19 seconds for the rock to hit the ground when dropped from a 55-meter cliff.

To calculate the time it takes for the rock to hit the ground when dropped from a certain height, we can use the kinematic equation for free fall:

ℎ = 1/2 gt2

Where:

h is the height of the cliff (55 m in this case).

g is the acceleration due to gravity ( 9.8 m/s2 approximately on the surface of the Earth).

t is the time we're trying to find.

Rearranging the equation to solve for t:

t =[tex]\sqrt{ 2h / g}[/tex]

​Plugging in the values:

t =[tex]\sqrt{ 2(55)m / 9.8m/s²}[/tex]

Calculating this:

t≈3.19s

So, it takes approximately 3.19 seconds for the rock to hit the ground when dropped from a 55-meter cliff.

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Although the temperature gradient changes from region to region in the homosphere, there is one gradient that stays the same. it continues to decrease as you increase in altitude, no matter where you are in the homosphere. what gradient?

please answer quick

Answers

Answer: The amount of air gradient.

Explanation:

Answer:

Pretty sure the answer is air gradient

Explanation:

for a machine, the input force is 30 N, and the input distance is 2 m. Factoring in the effect of friction, what must be true about the work output?

A. It must be greater than 60 J
B. It equals 60 J.
C. It must be less than 60 J

Answers

Answer:

C. It must be less than 60 J

Explanation:

The work going into the machine is the product of the force and distance:

W = Fd

W = (30 N) (2 m)

W = 60 J

The work out of the machine is less than this due to the frictional losses.

Answer:

C. It must be less than 60 J

A train moving with a velocity of 87.1 km/hour North, increases its speed with a uniform acceleration of 0.250 m/s2 North until it reaches a velocity of 160.0 km/hour North. What distance did the train travel while it was increasing its velocity, in units of meters?

Answers

Answer:

2780 meters

Explanation:

First, convert km/hr to m/s.

87.1 km/hr × (1000 m / km) × (1 hr / 3600 s) = 24.2 m/s

160.0 km/hr × (1000 m / km) × (1 hr / 3600 s) = 44.4 m/s

Given:

v₀ = 24.2 m/s

v = 44.4 m/s

a = 0.250 m/s²

Find: x

v² = v₀² + 2a (x − x₀)

(44.4 m/s)² = (24.2 m/s)² + 2(0.250 m/s²) (x − 0 m)

x = 2780 m

If a wave has a period of 0.077 sec, it has a frequency of
01/13 Hz.
3.6 Hz.
169 Hz.
13 Hz.

Answers

Answer: 13 Hz

Explanation:

The frequency [tex]f[/tex]  of a wave is expressed as:  

[tex]f=\frac{1}{T}[/tex]  

Where [tex]T[/tex] is the period of the wave

If we are told the period is 0.077 s, then its frequency is:

[tex]f=\frac{1}{0.077 s}[/tex]  

[tex]f=12.98 Hz \approx 13 Hz[/tex]  

why does the bottom of a swimming pool always appear shallower than it actually is

Answers

Answer:

The refraction of light at the surface of water makes ponds and swimming pools appear shallower than they really are.

Explanation:

so its just the refraction of light at the surface

Answer:

The refraction of light at the surface of water makes ponds and swimming pools appear shallower than they really are. If you look at a stick that is poking into some water at an angle the stick looks bent because of refraction. The bottom of the stick seems to be nearer the surface of the water than it really is.

Explanation:

What is suspension?​

Answers

Answer:

A suspension is essentially a damped spring producing opposing force when being compressed. ... The force produced by the dampers depend on how fast the suspension is being compressed or elongated (contact speed), opposing the movement. When a wheel is lifted from the ground the suspension produces no force.

What planet with the largest rings

Answers

Answer: saturn

Explanation:

Saturn, it is known to be the largest with rings.
Other Questions
A Request for blood work was received in the laboratory a newly hired phlebotomist goes to the patient room to collect a blood she notices of large vein of the left arm and applies a tourniquet where ship health history and she feels a vibration or buzzing should she draws from the vans what is palpating why should she Kevin Kangaroo begins hopping on a number line at 0. He wants to get to 1, but he can hop only 1/3 of the distance. Each hop tires him out so that he continues to hop 1/3 of the remaining distance. How far has he hopped after five hops? Express your answer as a common fraction. In fossil comparisons, it helps to know about similar: Match the property of equality with the example that models the property.multiplication property of equality55/11 = 11x/11addition property of equality3x - 4 + 4 = 12 + 4subtraction property of equality(4x)(1/4) = (3)(1/4)division property of equality(1/2) + 5x -(1/2)=8-(1/2) When leaping at an angle of 47.7 above the horizontal, a froghopper reaches a maximum height of 42.4 cm above the level ground. What was the takeoff speed for such a leap?What horizontal distance did the froghopper cover for this world-record leap? Which of the following would bring into question the level of democracy in pre-1750 Virginia?A. Most lawmakers were uneducated and biased.B. Most critical decisions were taken by the English crown.C. There was no elected house of representatives.D. The Governor exercised exclusive control over finances.E. The political system was controlled by a few wealthy families. Consider projectile thrown horizontally at 50 m/s from height of 19.6 meters. The projectile will take ______________ time to hit the ground as it would if it were dropped from the same height. a) Moreb) LessC)The Same A person has 14000 invested in stock A and stock B. A currently sells for $40 a share and stock B sells for 60 a share. If stock B doubles in value and stock A goes up 50%, his stock will be worth 24,000. How many shares of each stock does he own? Convert 45C to Fahrenheit using the formula F = 5 C + 32.081FO 113FO 57F138.6FQuestion #25MultipleChoice Patrick is a Vietnam War veteran who has been having a recurring nightmare of being on the frontline. Any sound that remotely resembles gunfire makes him anxious. Although he has been suffering for years with this problem, only recently did he decide to seek treatment. His psychologist asks Patrick to identify the thoughts and situations that evoke anxiety and rank them. His psychologist then begins to help him work through each situation by using relaxation techniques. This technique is called: Your Business Law professor believes that law is "discovered" by humans through the use of reason and choosing between good and evil. She points to the U.S. Constitution as an example of her philosophy. Your professor most likely subscribes to which school of philosophy? Luke is playing a video game on a defective disk that melts in his game player, starting a fire that injures his hands. Luke files a suit against Mystic Maze, Inc., the game's maker under the doctrine off strict liability. A significant application of this doctrine is in the area of:a. cyber tortsb. intentional tortsc. product liabilityd. unintentional torts Two closed systems A (4000 kJ of thermal energy at 30C) and B (3000 kJ of thermal energy at 40C) are brought into contact with each other. Determine the direction of any heat transfer between the two systems and explain why. From a crouched position an excellent human jumper launches herself upwards. The jumpers full height is 168 cm, but in the crouched position her height is half of that value. The jumper accelerates from the crouched position until she reaches her full height. Her motion then carries her upward until her center of mass is 90 cm above its position when she is standing. At what velocity must the jumper leave the ground to reach this height? What constant acceleration must be maintained to reach this initial velocity? Assuming a constant acceleration, how long in seconds does it take to accelerate from rest to this initial velocity? How did California differ from the United States in terms of interactions of whites and natives Which famous Supreme Court case from the 1870s involved New Orleans?OA. Plessy v. FergusonOB. The Dred Scott caseOC. Brown v. Board of EducationOD. The Slaughterhouse Cases Pleassseee help, and show steps By 1905, there was a total of about ___ miles of paved roads in America. what is the answer to 1/81/4 Red and blue light enter together into a glass plate of 10 cm. What is the distance between red and blue light whenthe light emerges from the plate. n(blue) = 1.6, n(red) = 1.3