1. Stephanie Schneider is running down the street at 10 m/s. She sees a double-tall latte on
the road ahead of her and starts sprinting. After 5 seconds have passed, Stephanie is
running at 15 m/s. Assuming she does not change direction, what was Stephanie's
acceleration?

Answers

Answer 1

Stephanie's acceleration is  1 m/[tex]s^{2}[/tex].

Explanation:

In the present case, the initial velocity of the runner is given as 10 m/s. After 5 s, the runner runs with velocity of 15 m/s. If there is no change in direction, then the acceleration can be found easily as the change in velocity per unit time.

So, [tex]Acceleration = \frac{Change in velocity}{Time}=\frac{(Final velocity -Initial velocity)}{Time}[/tex]

[tex]Acceleration = \frac{15-10}{5}=\frac{5}{5}=1 m/s^{2}[/tex]

Thus, the acceleration will be 1 m/[tex]s^{2}[/tex].

So the change in velocity will lead to an acceleration of 1 m/[tex]s^{2}[/tex].

Answer 2

Answer:15m/s-10m/s over 5s

Explanation:its a fraction the 15m/s and 10m/s are over the 5s


Related Questions

Formulas (equations): A = 3x and B = 5x + 1
As x increases, does A or B go up faster?
if x=0, then A=?
if x=1 then B=?

Answers

Answer:

B goes up faster

if x=0, then A=0

if x=1 then B=6

Explanation:

Formulas Or Equations

We have two different formulas

A = 3x

B = 5x + 1.

They both are equations of lines. The number beside the X (coefficient) is also known as the slope of the line. The greater the slope, the faster the function goes up as X increases. We can clearly see that the equation B has a greater slope, which means it goes up faster than A as X increases

When x=0, A=3(0)=0

When x=1, B=5(1)+1=6

Beth exerts 14 N force to propel a 4.5 kg bowling ball down the lane

Answers

Answer:

It will have a certain kinetic energy at the beginning, but it will be lost by resistant work done by friction. Thus, itsmotion wil be uniformly decelerating.

Explanation:

1.
A poorly tuned Yugo can accelerate from rest to a speed of 28 m/s in
20 s.
a) What is the average acceleration of the car?
b) What distance does it travel in this time?

Answers

The average acceleration of the car is 1.4 m / s^2.The distance travel at this time is 560 m.

Explanation:

Average acceleration is defined as the rate of change of velocity to the rate of change of period. Change of velocity refers to the difference between final velocity and initial velocity. The unit of acceleration is meter/sec/sec (or)   m s^2.

Avg Acceleration=(Final velocity - Initial velocity) /(Final time - Initial time)

a. To find the average acceleration of the car, (initial velocity and initial time   is 0, the final velocity is 28 m/s, final time = 20 s)

               Avg acceleration of the car = (28 - 0) / (20 - 0)

                                                              = 28 / 20 = 1.4 m / s^2.

b. The distance traveled is given by the product of speed and time

     Distance traveled = Speed * Time

      The Distance traveled by the car = 28 * 20 = 560 m.

Final answer:

By applying basic physics formulas, the car's average acceleration can be determined as 1.4 m/s², and the distance it travels in 20 seconds is 280 meters.

Explanation:

To answer this question, you'll need to apply basic physics formulas. Let's go step by step:

a) What is the average acceleration of the car?

Acceleration is defined as the rate of change of velocity per unit of time. The formula is Acceleration = (Final speed - Initial speed) / Time. Here, the initial speed is 0 (because the car is starting from rest), final speed is 28 m/s and time is 20 s.

So, Acceleration = (28 m/s - 0) / 20 s = 1.4 m/s². That's your answer for part a.

b) What distance does it travel in this time?

The distance traveled by the car can be found using the formula of linear motion: Distance = Initial speed x Time + 0.5 x Acceleration x Time². Since the car starts from rest, the initial speed is zero, and this component of the formula will be zero.

So, Distance = 0 + 0.5 x 1.4 m/s² x (20 s)² = 280 m. So, the car travels 280 meters in that time.

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PLEASE PLEASE PLEASE HELP!!!! WILL MARK BRAINILIEST!!!!!!!!!!!
Why are politics and political science important?

Answers

Final answer:

Politics is important as it governs decision making within societies and manages conflict, while political science provides an understanding of these processes and systems, enabling informed citizenship.

Explanation:

Politics and political science are important for several reasons. Firstly, politics is how societies make collective decisions. It determines the distribution of power, resources, and responsibilities within a society. Additionally, politics also manages conflict and ensures social order. Secondly, political science is the systematic study of politics and government. It equips individuals with the knowledge and analytical skills to understand political behavior and policymaking processes, which is essential for informed citizenship.

Through political science, we can understand how different political systems work, compare them, and analyze their impacts on their constituents. Whether intending to participate directly in politics or just wanting to be a well-informed citizen, understanding politics and political science is integral.

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Final answer:

Politics and political science are crucial as they determine resource allocation and decision-making within societies. Understanding and participating in politics can shift power toward ordinary people and reflect public interests. Political science uses empirical evidence and analytical tools to interpret political actions and systems.

Explanation:

Importance of Politics and Political Science

Politics and political science are pivotal because they deal with critical questions like who gets what, when, and how. Politics fundamentally addresses the allocation of resources and the mechanisms of decision-making within societies.

Political science is the systematic study of these processes, providing insights into government policies, institutional arrangements, and collective behaviors.

Knowledge in this field empowers citizens to engage meaningfully in their governance and to advocate for fairer, more representative systems.

Citizen engagement is essential for a functioning democracy, as it ensures that the government reflects the public interest. Understanding politics is not just for students at elite universities; it is crucial for all to recognize that political systems and conflicts deeply affect their lives.

Politics is not a spectator sport; active involvement and collective action can shift the balance of power towards ordinary people.

Political science students and scholars endeavor to answer why certain political actors behave as they do and to infer cause-effect relationships from empirical evidence.

The study of politics involves using tools such as probability, statistics, and logic to extract meaningful inferences from qualitative and quantitative data. For faculty, imparting this knowledge to students is a dual task of nurturing civic engagement and fostering academic inquiry into political behaviors and systems.

What is the reason why feather falls at a slower rate than a Hammer on Earth not on the moon

Answers

This air causes friction with objects as they fall through it, called air resistance, which can slow them down as they fall. Air resistance affects different shapes differently. Because the Apollo crew were essentially in a vacuum, there was no air resistance and the feather fell at the same rate as the hammer.

What is the IMA of a lever whose resistance arm is 7cm long if the effort arm is 0.7m long and the load is 8.5N?

Answers

The IMA of the lever is 10

Explanation:

The IMA (Ideal Mechanical Advantage) of a simple machine is given by:

[tex]IMA=\frac{d_e}{d_r}[/tex]

where

[tex]d_r[/tex] is the length of the resistance arm

[tex]d_e[/tex] is the length of the effort arm

For the lever in this problem, we have:

[tex]d_r = 7 cm = 0.07 m[/tex] is the length of the resistance arm

[tex]d_e = 0.7 m[/tex] is the length of the effort arm

Substituting into the equation, we find the IMA of the lever:

[tex]IMA=\frac{0.7}{0.07}=10[/tex]

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crane lifts a 1,052 kg car. What force in Newtons must the crane apply to the car to lift it?

Answers

Answer:

10520 N

Explanation:

m = 1,052 kg

g = 10 m/s²

F = W = mg

F = 1052 × 10

F = 10520 N

The weight of an object is defined as the force of gravity on the object and may be calculated as the mass times the acceleration of gravity,

w = mg.

Since the weight is a force, its SI unit is the

newton.

For an object in free fall, so that gravity is the only force acting on it, then the expression for weight follows from Newton's second law: F = ma

Use the drop-down menus to complete the statements.
The amount of energy a wave carries corresponds to its
is equal to the number of wavelengths that pass a fixed point in a second.
Frequency is typically expressed in

Answers

Answer:

1st blank - amplitude

2nd blank - frequency

3rd blank - hertz

The amount of energy a wave carries corresponds to its amplitude. Frequency is equal to the number of wavelengths that pass a fixed point in a second. Frequency is typically expressed in hertz

A car accelerates uniformly from rest and reaches a speed of 33.5 m/s in 11.9 s. The diameter of a tire is 37.5 cm.
Find the number of revolutions the tire makes during this motion, assuming no slip- ping.

Answers

The number of revolutions the tire makes during this motion is 169.265 revolution.

Explanation:

Given:

Car’s initial velocity, u = 0

Car’s final velocity, v = 33.5 m/s

Time required t = 11.9 s

Hence, car’s acceleration ‘a’ can be given by the first equation of motion as

[tex]v=u+(a \times t)[/tex]

[tex]33.5=0+(a \times 11.9)[/tex]

[tex]11.9 \times a=33.5[/tex]

[tex]a=\frac{33.5}{11.9}=2.815 \mathrm{m} / \mathrm{s}^{2}[/tex]

The distance covered by the car during this time is given by the second equation of motion

[tex]s=(u \times t)+\left(\frac{1}{2} \times a \times t^{2}\right)[/tex]

[tex]s=0+\left(0.5 \times 2.815 \times 11.9^{2}\right)[/tex]

[tex]s=0.5 \times 2.815 \times 141.61=199.31 m[/tex]

Now as in each revolution a wheel rolling without slipping covers a distance equal to its periphery ([tex]2 \pi R[/tex]), if the total numbers of revolution of each tire be n, then we have

[tex]s=n \times 2 \pi R[/tex]

Given diameter, d = 37.5 cm = 0.375 m

Radius of the wheel, R =  [tex]\frac{d}{2}=\frac{0.375}{2}=0.1875 \mathrm{m}[/tex]

Total numbers of revolution,

[tex]n=\frac{s}{2 \pi R}=\frac{199.31}{2 \times 3.14 \times 0.1875}=\frac{199.31}{1.1775}=169.265 \text { revolution }[/tex]

Final answer:

The car's tires make approximately 917 revolutions during the motion.

Explanation:

To find the number of revolutions the tire makes during this motion, we need to first find the distance the car travels. We can use the formula s =[tex]ut + 1/2at^2[/tex]the distance, u is the initial velocity, a is the acceleration, and t is the time. In this case, the initial velocity is 0 m/s, the acceleration is the same as the car's acceleration, and the time is 11.9 s. Plugging in these values, we get:

s = 0(11.9) + 1[tex]/2(33.5)(11.9)^2[/tex]

The distance traveled is equal to the circumference of the tire multiplied by the number of revolutions. The circumference of the tire is equal to π times the diameter. Plugging in the values, we get:

2π(0.375) = 2.35619 m

Let's assume the number of revolutions is N. Therefore, the distance traveled can also be calculated as N times the circumference. Setting up the equation, we have:

N(2.35619) = 2156.29

Solving for N, we get:

N = 2156.29 / 2.35619 = 916.67

Therefore, the tire makes approximately 917 revolutions during this motion.

For calculating work, the force and the distance must be in the same ____________.

Answers

For calculating work, the force and the distance must be in the same direction

Explanation:

The work done by a force on an object is given by the equation

[tex]W=Fd cos \theta[/tex]

where

F is the magnitude of the force

d is the displacement

[tex]\theta[/tex] is the angle between the direction of the force and of the displacement

The equation can be rewritten as

[tex]W=(F cos \theta) d[/tex]

where [tex]F cos \theta[/tex] is the component of the force parallel to the displacement of the object. This means that when calculating the work, only the component of the force parallel to the motion of the object contributes to the work: in this sense, we can say then for work to be different from zero, the force must have a component in the same direction as the motion of the object.

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Answer:

Direction

Explanation:

An eosinophil is a white blood cell involved in controlling infections. The white blood cell is a part of the ^____________ system, while the red blood cells are part of the ____________ system.

A immune, circulatory
B circulatory, respiratory
C immune, respiratory
D circulatory, immune

Answers

Answer:

A

Explanation: This isn't Physics, but there's your answer.

What is the change in internal energy if 30 J of thermal energy is released
from a system, and the system does 40 J of work on the surroundings? Use A
U= Q-W.

Answers

Answer:

ΔU = -70 J

Explanation:

ΔU = Q − W

where ΔU is the change in internal energy,

Q is the heat absorbed by the system,

and W is the work done by the system (on the surroundings).

30 J of thermal energy is released, so Q = -30 J.

40 J of work is done by the system, so W = 40 J.

Therefore, the change in internal energy is:

ΔU = -30 J − 40 J

ΔU = -70 J

Final answer:

The change in internal energy of the system is calculated using the formula
ΔU = Q - W. With 30 J of thermal energy released and 40 J of work done by the system, the internal energy decreases by 70 J.

Explanation:

Change in Internal Energy Calculation

To calculate the change in internal energy (ΔU) of a system, the first law of thermodynamics is often used, which is expressed as ΔU = Q - W, where Q is the heat added to the system, and W is the work done by the system on its surroundings. In this scenario, Q is a negative value since 30 J of thermal energy is released (or removed) from the system, which makes Q = -30 J. The system does 40 J of work on the surroundings; hence, W is also 40 J.

The change in internal energy is therefore calculated as follows:

ΔU = Q - W
ΔU = (-30 J) - (40 J)
ΔU = -30 J - 40 J
ΔU = -70 J

Thus, the change in internal energy of the system is -70 J, indicating that the internal energy of the system has decreased by 70 joules.

Maria does 500 Newton-meters of work moving books from one table to another. The total force is 100 Newtons. How far were the books moved?

Answers

The displacement of the book is 5 meters

Explanation:

The work done by a force when moving an object is given by:

[tex]W=Fd cos \theta[/tex]

where :

F is the magnitude of the force

d is the displacement

[tex]\theta[/tex] is the angle between the direction of the force and the displacement

In this problem, we have:

W = 500 J is the work done by Maria

F = 100 N is the force applied by Maria

[tex]\theta=0^{\circ}[/tex], assuming the direction of the force is parallel to the displacement

So we can rearrange the equation to solve for d, the displacement:

[tex]d=\frac{W}{F cos \theta}=\frac{500}{(100)(cos 0)}=5 m[/tex]

So, the book was moved 5 meters.

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A 3.50 kg block of lead at 14.4°C comes in contact with a block of copper at 88.4°C. They come to equilibrium at 55.9°C. What was the mass of the copper block? (Unit=kg)

Answers

Answer:

1.48 kg

Explanation:

The conservation of energy states that energy cannot be created or destroyed but can be converted from one form to another. Hence, in this case, energy lost by the copper should equal to the energy gained by the lead. Hence,

Energy Lost by Copper = Energy Gained by Lead

mcT = mcT (Bolded is for copper, italicised is for lead)

m(387)(88.4 - 55.9) = (3.50)(128)(55.9 - 14.4)

12577.5m = 18592

             m = 1.48 kg (3 sf)

(Note: Thermal energy can be calculated using Q = mcT where m is the mass, c is the specific heat capacity and T is the change in temperature)

Answer:

1.48 kg

Explanation:

What is the velocity of the ball 0.8 seconds after it’s released ?

Answers

Need more details, what is the slope of the line, etc.

It depends.

In order to answer the question, a person has to know:

-- the velocity (speed and direction) of the ball WHEN it's released

-- whether the ball has any net electric charge

-- whether there's any other net electric charge in the neighborhood

-- the mass of the ball, if any net charges are involved

-- what planet is nearest to the ball

-- the acceleration of gravity on that planet

Each of these details has an influence on the answer.  That is, if one of them changes, then the answer changes.  Now, it hasn't escaped my notice that you neglected to provide ANY of this information, so there's no way to even begin to concoct an answer.

Right now, the question is a lot like me asking you "How much will I weigh 8 seconds after I finish eating the steak ?".

Does anyone know about this : Applying the Parallelogram of Forces Law. Or does anyone know of any notes about that???

Answers

Answer:

Explanation:

The force is a vector magnitude, it has direction, course and intensity.

Suppose that you have given two forces at a certain angle and that you need to find the resultant force then you apply the Parallelogram of force low.

You represent the two forces in the drawing as vectors and connect their origin to the same point and then construct a parallelogram over them.

The longer diagonal represents the resultant force.

God is with you!!!

4.
A baseball player throws a baseball straight up into the air with an initial speed of 25 m/s.
A. What is the maximum height to which the ball rises?
B. What is the speed of the ball when it is halfway up to its maximum height?

Answers

A) The maximum height is 31.9 m

B) The speed of the ball is 17.7 m/s

Explanation:

A)

We can solve this problem by using the law of conservation of energy. In fact, in abcense of air resistance, the mechanical energy of the ball (sum of potential energy + kinetic energy) must be conserved.

Mathematically:

[tex]U_i +K_i = U_f + K_f[/tex]

where :

[tex]U_i[/tex] is the initial potential energy, at the bottom

[tex]K_i[/tex] is the initial kinetic energy, at the bottom

[tex]U_f[/tex] is the final potential energy, at the top

[tex]K_f[/tex] is the final kinetic energy, at the top

We can rewrite it as

[tex]mgh_i + \frac{1}{2}mu^2 = mgh_f + \frac{1}{2}mv^2[/tex]

where:

m is the mass of the ball

[tex]g=9.8 m/s^2[/tex] is the acceleration of gravity

[tex]h_i = 0[/tex] is the initial height  of the ball

u = 25 m/s is its initial speed

[tex]h_f[/tex] is the maximum height reached by the ball

v = 0 is the final speed (which is zero at the maximum height)

Solving for [tex]h_f[/tex], we find: the maximum height:

[tex]\frac{1}{2}mu^2 = mgh_f\\h_f = \frac{u^2}{2g}=\frac{(25)^2}{2(9.8)}=31.9 m[/tex]

B)

When the ball is halfway up to its maximum height, it means that its height is

[tex]h_f = \frac{31.9}{2}=15.9 m[/tex]

Therefore we can re-apply again the equation of the conservation of energy:

[tex]mgh_i + \frac{1}{2}mu^2 = mgh_f + \frac{1}{2}mv^2[/tex]

where this time v is not zero, but it is the speed of the ball at the height of 15.9 m

Re-arranging the equation and solving for v, we find:

[tex]v=\sqrt{u^2-2gh_f}=\sqrt{25^2-2(9.8)(15.9)}=17.7 m/s[/tex]

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Final answer:

The maximum height the baseball can reach when thrown at an initial speed of 25 m/s is 31.9 meters. When the ball is halfway to this height, its speed is 17.67 m/s.

Explanation:

The subject matter of the question is physics, specifically the concepts of motion, velocity, and gravitational forces.  

Given the initial velocity of the baseball is 25 m/s and the acceleration due to gravity is -9.8 m/s², we can find the maximum height using the equation v² = u² + 2gs, where v is the final velocity, u is the initial velocity, g is acceleration due to gravity, and s is displacement.  

Substituting in the given values gives us 0 = (25 m/s)² + 2*(-9.8 m/s²)*s, so s = (25 m/s)² / (2 * 9.8 m/s²) = 31.9 meters. This is the maximum height the ball reaches.  

When the ball is halfway to its maximum height, it is still subject to the laws of physics, so we cannot simply divide the initial velocity by two. Instead, we can find the velocity at the halfway height (15.95 meters) using the equation v = u + 2gs. Substituting the known values, we get v = sqrt((25 m/s)² + 2*(-9.8 m/s) * (-15.95 m) ) = 17.67 m/s.

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A picture hanging on a wall has what energy.

Answers

The picture has gravitational potential energy because it naturally wants to fall off the wall due to gravity.

A load of mass 5kg is raised through a height of 2m. (g=10mls)​

Answers

The gain in gravitational potential energy of the mass = 100 kg m^2 / s^2.

Explanation:

Gravitational potential energy is an energy in which an object possesses because of its position in a gravitational field. The most common use of gravitational potential energy is for an object near the Earth's surface where the gravitational acceleration can be assumed to be constant at about 9.8 m/s2.

The formula for the gravitational potential energy is the product of mass, gravity, and height.

             GPE = m *g *h

where m represents mass in kg,

           g represents the gravity,

           h represents the height.

          GPE    = 5 * 10 * 2 = 100 kg m^2 / s^2.

The charged parts of the atom are the

Answers

Answer:

Proton and electron

Explanation:

An atom can be broken down into three constituents parts – protons, neutron, and electrons. Each of these parts has an associated charge, with protons carrying a positive charge, electrons having a negative charge, and neutrons possessing no net charge

What does energy do, according to the conservation of energy? cannot be created, but it can be destroyed can be created, but it cannot be destroyed cannot be created or destroyed can be created and destroyed PLZ WILL MARK AS BRAINLIST

Answers

Answer:

Energy cannot be created or destroyed.

Explanation:

Energy cannot be created or destroyed, it can only be altered from one from to another.

Answer:

C. Energy cannot be created or destroyed but it can change form.

Energy can be converted from one form to another. The law of conservation of energy says that energy is neither created nor destroyed. When you consume energy, it is not gone forever. Instead, it is changed from one form of energy to another. So, energy is not manufactured and it doesn't go away after you use it. It is just transformed, or stored.

How much time does it take Mrs. Spencer to travel 240meters at a speed of 80meters per second?​

Answers

Answer:

3seconds

Explanation:

it will take 3 seconds

021 (part 1 of 2) 10.0 points
A student sits on a rotating stool holding two
4 kg objects. When his arms are extended
horizontally, the objects are 0.7 m from the
axis of rotation, and he rotates with angular
speed of 0.69 rad/sec. The moment of iner-
tia of the student plus the stool is 4 kg mº
and is assumed to be constant. The student
then pulls the objects horizontally to a radius
0.29 m from the rotation axis.
(D.
T
TZ
Calculate the final angular speed of the
student.
Answer in units of rad/s.
022 (part 2 of 2) 10.0 points
Calculate the change in kinetic energy of the
system.
Answer in units of J.

Answers

Final answer:

The problem involves using the principles of conservation of angular momentum and kinetic energy to find the student's final angular speed and the change in kinetic energy of the system when the radius at which weights are held is changed.

Explanation:

The problem involves calculating the final angular speed of a student who pulls two objects closer while rotating on a stool and then determining the change in kinetic energy of the system. Using the principle of conservation of angular momentum, we can solve for the student's final angular speed after changing the radius at which the objects are held. The kinetic energy change relies on calculating the initial and final kinetic energies and finding their difference.

Without the complete calculations for this scenario, a precise final angular speed and kinetic energy change cannot be provided here. Typically, you would use the formula for angular momentum (L = Iω) where I is the moment of inertia and ω is the angular speed, and the formula for kinetic energy (KE = 0.5 * I * ω²) to solve these problems.

What impact has the use of optical fibre cables had on the way we receive and communicate information? Discuss both positive AND negative effects.

Answers

Due to rising demand for higher bandwidth and faster speed connections, fiber optic transmission is becoming more and more common in the developing world. Optical fiber has had a great impact on the way we receive and transmit signals. They have largely replaced copper wire communications in core networks in the developed world, because of its advantages over electrical transmission. But they brought some difficulties as well.

Following are the advantages and disadvantages of optical fiber:

Advantages

They provide extremely High Bandwidth.Optical fiber is capable of low power loss at long distances.Optical fiber is highly resistant to electromagnetic disturbances. They are virtually error free.The data is transferred through light that is why there is no security risk of data being detected.Optical fiber has lesser weight and size as compared to other cables.

Disadvantages

They are made of glass that is why they are very fragile and they have to be handled carefully.They are difficult to install. If you bend them too much, they will break. And fiber cable is highly susceptible to damage during installation or construction activities.Extra optical components have to be added to handle dispersion of light at longer distances.Optical fiber costs a lot more than copper cables. The installation itself is very costly.

Keywords: fiber optics, bandwidth, transmission, impact, advantages, disadvantages

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What is an independent variable?
The variable that is kept the same in the experiment.
The variable that the scientist change
The result of the experiment.
The data within the experimen

Answers

Answer:

variable that scientist change

Explanation:

At what speed would one need to fire a lead project tile in order for its temperature to rise from 25°C to 36.9°C upon impact on a stationary object

Answers

Answer:

55 m/s

Explanation:

If all kinetic energy is converted to heat:

½ mv² = mCΔT

v = √(2CΔT)

v = √(2 × 128 J/kg/K × (36.9°C − 25°C))

v = 55.2 m/s

Rounded to two significant figures, the speed is 55 m/s.

What characteristics of water waves make them transverse waves?

Answers

Answer:

The characteristics of water waves is that it travels through the waver, the particles travel in clockwise circles. The radius of the circles decreases as the depth into the water increases.

Explanation:

i can flyat a speed of 200m/s for 20 seconds. how far will i fly in that time​

Answers

4000 meters because 200*20=4000

Find the acceleration of a car that can go from rest to 50 km/h in 13 s

Answers

The acceleration of the car is 1.067 m/[tex]s^{2}[/tex].

Explanation:

Acceleration is the measure of change in velocity experienced by any object for a given time period. So it is determined as the ratio of difference in the velocity to the time period.

As here the initial velocity is stated as zero, so u = 0. And the final velocity is termed as 50 km/h. Then we have to determine the acceleration in 13 s. So here we have to convert the units as common units. Thus, 50 km/h should be converted to m/s as [tex]\frac{50*1000}{3600}=13.88 m/s[/tex]

So now, the initial velocity u = 0 and final velocity v = 13.88 m/s and the time period is given as t = 13 s.

[tex]Acceleration = \frac{v-u}{t}=\frac{13.88-0}{13}=1.067 m/s^{2}[/tex]

So the acceleration of the car is 1.067 m/[tex]s^{2}[/tex].


A 60-kilogram high jumper lands on a mat after her jump. The mat brings her to a stop after 1 second. She
was traveling at 5.0 m/sec when she landed on the mat. Note: The speed of the jumper at the top of her jump.
before she started to fall toward the mat, was 0 m/sec.
a. What is the change in momentum for the jumper?
b. What is the force felt by the jumper upon impact with the mat?

Answers

a) Change in momentum: -300 kg m/s

b) Force felt by the jumper: -300 N

Explanation:

a)

The change in momentum of an object is given by

[tex]\Delta p = m(v-u)[/tex]

where

m is the mass of the object

v is the final velocity

u is the initial velocity

For the jumper in this problem, we have

m = 60 kg (mass of the jumper)

v = 0 (final velocity is zero)

u = 5.0 m/s (initial velocity before he hits the mat)

Substituting,

[tex]\Delta p = (60)(0-5.0)=-300 kg m/s[/tex]

Where the negative sign means that the direction of the change in momentum is opposite to the direction of motion.

b)

According to the impulse theorem, the change in momentum of an object is equal to the impulse exerted on it:

[tex]\Delta p = F\Delta t[/tex]

where

F is the force exerted on the object

[tex]\Delta t[/tex] is the time interval

In this problem, we have

[tex]\Delta p = -300 kg m/s[/tex] (change in momentum)

[tex]\Delta t = 1 s[/tex] (duration of the  collision)

Solving for F,

[tex]F=\frac{\Delta p}{\Delta t}=\frac{-300}{1}=-300 N[/tex]

Where the negative sign means that the direction of the force is opposite to the direction of motion.

Learn more about change in momentum:

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