Question
A graph of v(t) is shown for a world-class track sprinter in a 100-m race. (See Figure 2.67).
(a) What is his average velocity for the first 4 s?
(b) What is his instantaneous velocity at t=5 s?
(c) What is his average acceleration between 0 and 4 s?
(d) What is his time for the race?

QuestionA Graph Of V(t) Is Shown For A World-class Track Sprinter In A 100-m Race. (See Figure 2.67).

Answers

Answer 1

(a)  The average velocity of the sprinter for the first 4 seconds is 12 m/s.

(b) The instantaneous  velocity of the sprinter at time, t = 5 s is 12 m/s.

(c) The average acceleration of the sprinter between 0 and 4 s is 3 m/s².

(d) The time of race of the sprinter is 12 s.

What is the average velocity for the first 4 s?

The average velocity of the sprinter is the change in the total displacement of the sprinter with total time of motion.

From the given graph, the average velocity of the sprinter for the first 4 seconds is 12 m/s.

The instantaneous  velocity of the sprinter at time, t = 5 s from the graph corresponds to 12 m/s, since the velocity of the sprinter from 4 s to 12 seconds is constant.

The average acceleration of the sprinter between 0 and 4 s is calculated as follows;

a = ( 12 m/s - 0 m/s ) / ( 4 s - 0 s )

a = 3 m/s²

The total time of race of the sprinter according to the graph is 12 seconds.

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Related Questions

The figure(Figure 1) shows the velocity graph of a 2.7kg object as it moves along the x-axis.
A) What is the net force acting on this object at t= 1 s?
B) At 4 s?
C) At 7 s?

Answers

(a) At time, t = 1 s, the net force on the object  is 10.8 N.

(b) At time, t = 4 s, the net force on the object is 8.1 N.

(c) At time, t = 7 s, the net force on the object is 3.1 N.

What is the net force acting on the object?

The net force acting on the object is calculated by applying Newton's second law of motion.

F = ma

where;

m is the mass of the objecta is the acceleration of the object

F = mv/t

where;

v is the speed of the objectt is the time of motion

At time, t = 1 s, the net force on the object is calculated as;

F = ( 2.7 x 4 ) / 1

F = 10.8 N

At time, t = 4 s, the net force on the object is calculated as;

F = ( 2.7 x 12 ) / 4

F = 8.1 N

At time, t = 7 s, the net force on the object is calculated as;

F = ( 2.7 x 8 ) / ( 7 )

F = 3.1 N

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Two spheres of uniform density are located a distance l apart, as shown in the figure above. the left sphere has a mass M1, and the right sphere has a mass M2. the center of mass of the two spheres is labeled point P. Which of the following is a correct expression for the distance from point P to the center of the left sphere? group of answer choices a. (M1/M2)*L
b. (M1+M2/M1)*L
c. (M1+M2/M2)*L
d. M2/(M1+M2)*L
e. M1/(M1+M2)*L

Answers

The distance from point P to the center of the left sphere is M2/(M1+M2)*L when two spheres of uniform density are located a distance L apart.

Given the mass of left sphere = M1

mass of right sphere = M2

Let a point P be between the two spheres that locates the center of mass.

The distance between the two spheres = L

Let the distance from left sphere to point P = d

And the distance from right sphere to point P be = L-d

At point P, field due to mass M1 will be equal to mass M2,

We know that to find center of mass = M1 x distance from left sphere + M2 x distance from right sphere.

Center of mass = M1 x d + (-M2 x (L-d)) = 0 since acting opposite.

M1d - M2L + M2d = 0

d(M1+ M2) = M2L

d = M2L/(M1+M2)

Hence the distance from point P to the center of the left sphere is M2L/(M1+M2).

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M2/(M1+M2)*L is the distance between the center of the left sphere and point P when two spheres of uniform density are placed L apart from one another.

When all possible outcomes have an equal probability, a curve is said to be "uniform." Therefore, the frequency of each result is the same. As a result, the height at each x-axis location is the same, and the uniform density curve takes on the shape of a rectangle.

Calculation:

The mass of left sphere = M1

mass of right sphere = M2

Let a point P be between the two spheres that locates the center of mass.

L is the length separating the two spheres.

Let the distance from left sphere to point P = d

And the distance from right sphere to point P be = L-d

At point P, field due to mass M1 will be equal to mass M2,

We know that to find center of mass = M1 x distance from left sphere + M2 x distance from right sphere.

Center of mass = M1 x d + (-M2 x (L-d)) = 0 since acting opposite.

M1d - M2L + M2d = 0

d(M1+ M2) = M2L

d = M2L/(M1+M2)

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Why would a metal exist in a free state?

A. If it has enough mass to exist on its own
B. If it has valence electrons that make it highly reactive
C. If it doesn't easily combine with other elements
D. If it's a metal that's consistently used to make alloys

Answers

C. If it doesn't easily combine with other elements is the main reason why a metal can exist in a free state. If a metal has low reactivity, it will not easily combine with other elements, and therefore can exist in a pure form. However, options A, B, and D can also play a role in a metal existing in a free state. Some metals have a high enough mass to be found in nature on their own, while other metals are highly reactive and may be found in a free state as a result. Additionally, some metals are commonly used to make alloys, and can still be found in a free state.

CE Consider the three electric charges, A, B, and C, shown in FIG URE 19-37. Rank the charges in order of increasing magnitude of the net force they experience. Indicate ties where appropriate.

Answers

The increasing magnitude of the forces are; A > B > C

What is a charge?

We know that when we talk about a charge, we are talking about a specie that has more or less electrons in it. In this case, we are looking at the charges that have been shown here and how the force that acts on the charges depends on the distance.

We can see that the negative charge there is the charge at A and there are two positive charges that are attracted to it at various distances and this determines the net force on the charges.

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An airplane accelerate from rest to take off speed at 100m/s in 1 minute. a. Find the acceleration of the plane during takeoff. b. How far does the plane travel down the runway before taking off?​

Answers

Explanation:

u=0

v=100

T=1min that 60 second

a=?

Formula

=

V=U+AT

100=0+a×60

100=60a

a=100/60 =1.66

To find Distance

S=ut+1/2at×t

s=0×60+1/2×1.66×60×60

s=0+1/2×1.66×3600

s=0.83×3600

s=2988

, which type length? of mirror has & positive focal length?​

Answers

Because the focus of a convex mirror is on the right side and behind the mirror, it has a positive focal length.

Is the focal length of a concave mirror positive?

Conventionally, distances along the central axis are measured as positive from the mirror toward the object and negative away from the object. As a result, the focal length and radius of curvature are positive for concave mirrors and negative for convex mirrors.

What kind of lens has an increased focal length?

The focal length is always positive for converging lenses and always negative for divergent lenses. This is done according to sign convention in ray optics.

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PLEASE HELP I'LL GIVE YOU POINTS ITS FOR MY GPA ?

Answers

The force acting on the 0.10 kg apple with a velocity of  -5.88 m/s and time of 0.6 sec is 0.98 Newton.

What is force?

Any action that has the ability to alter, maintain, or modify a body's motion is considered a force in mechanics. Isaac Newton's Principia Mathematica has three laws of motion that are usually used to explain the concept of force (1687).

A body at rest or consistently moving in a straight path is said to remain in that state until a force is applied to it, according to Newton's first law. A body will accelerate (change in velocity), in accordance with the second rule, in the direction of any external force acting on it.

Calculate the change in velocity as shown below,

V = -6.86 - (-0.98)

V = -5.88

The time for this change in velocity,

T = 0.70 - 0.10

T = 0.6

Calculate the force as shown below,

Force = 0.10 × (-5.88) / 0.6

Force = -0.588 / 0.6

Force = -0.98 N

Thus, the force acting on the apple is 0.98 Newton.

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Which part of a circuit can be turned on and off to make an electromagnet
work or stop?
A. The ammeter
B. The connecting wires
C. The magnetism
D. The electric current

Answers

The correct answer is D. The electric current. An electromagnet is a type of magnet that is created by running an electric current through a coil of wire. The strength of the magnetism produced by the electromagnet can be increased by increasing the current running through the wire. To make the electromagnet work or stop, you can turn the current on or off using a switch or other device that controls the flow of electricity in the circuit. The other parts of a circuit, such as the ammeter (A) and the connecting wires (B), do not have any direct effect on the electromagnet itself. The magnetism (C) is produced by the movement of electrons in the wire, which is controlled by the electric current.

When you amplify something, you decrease it; in the case of sound, you decrease the volume of the sound.
True
False

Answers

False, When anything is amplified, it is made larger; in the case of sound, this increases the loudness of the sound. Although it is not the only one, sound frequency is a significant factor in how we interpret sounds.

Wavelength, time period, amplitude, frequency, and speed are the five properties of a sound wave. A sound wave's frequency determines its pitch, while its amplitude determines how loud it sounds. The aspect of sound that most influences pitch is frequency. The range of frequencies that people can hear is considerably influenced by their environment, although the commonly acknowledged standard range of audible frequencies for humans is 20 to 20,000 Hz. When you magnify anything, you make it bigger; in the case of sound, this raises the volume.

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When something is amplified, it becomes smaller; in the case of sound, this reduces the volume of the sound. This claim is untrue.

What does sound amplification mean?

Any sound that has been amplified by a man-made device is one that has been made louder. Bullhorns, speakers, drums, and sound systems all make sound louder. You will likely exceed the typical noise decibel limitations if you plan to have a band, stereo, or speaker on a microphone or bullhorn, in which case you will require a noise variance.

A sound amplification system is what?

The teacher's voice in the classroom is amplified by a Sound Amplication System (SAS). It operates by dispersing an enhanced signal in a portion of the classroom where speakers are located.

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1 A police patrol Jeep is pursuing a car to a strafart level road. The Jeep and cas are mathe speeds 60kmlho and 72 krohr respectively. The patrol Jeep fires a bullot when car & 200 from it. If speed of bullet is 500mls what will be distance between twou eching when the bullet strikes the car?.

Answers

The distance between jeep and car when the bullet strikes the car is 193.32m.

What are the five distinctions between velocity and speed?

A scalar quantity, speed. It just has magnitude. A vector quantity is velocity. It has a direction as well as a magnitude. Speed is defined as the sum of the traveled distance (d) and the elapsed time (t). A body's speed determines how quickly it moves. In a straight line, uniform motions have the same speed and velocity. Then, everything will be identical.

Speed of jeep = 60km/hr= 16.7m/s

Speed of car = 72km/hr = 20m/s

The distance between car and jeep is 200m.

The speed of bullet = 500 m/s

The resultant speed of bullet and jeep = 16.7+500= 516.7m/s

The velocity at which bullet strikes the car => 516.7 - 20

                                                                         => 496.7m/s

                        Time take for bullet to strike = 200/496.7= 0.4s

The jeep traveled at a distance = 0.4 x 16.7 = 6.68m

Hence, the distance between jeep and car reduced to 193.32m.

In what sense is distance?

Distance is the sum of an object's movements, regardless of direction. Distance can be defined as the amount of space an object has covered, regardless of its starting or ending position.

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Differentiate between Low Pass,high Pass, Band Pass and Band Stop Filters stating One(1) use of each.

Answers

These filters each have a different purpose and can be used according to the requirement.

A low-pass filter is a filter that allows signals with frequencies lower than a certain cutoff frequency to pass while attenuating signals with frequencies greater than the cutoff frequency. The frequency response of the filter is determined by its design. Low-pass filters are used in audio amplifiers, equalizers, and speakers and have applications such as anti-aliasing, reconstruction, and speech processing.

A high-pass filter is an electrical filter that allows signals with frequencies higher than a specific cutoff frequency to pass while attenuating sounds with frequencies lower than the cutoff frequency. The degree of attenuation for each frequency is determined by the filter design. A high pass filter is used to eliminate undesirable noises at the bottom of the audible range.

A band-pass filter, is a device that passes frequencies within a specific range while rejecting frequencies outside of that range. Band-pass filter functions are employed when it is intended to transmit signals within a specific frequency band while blocking signals at lower and higher frequencies. This is what "tuning" a desired frequency, such as a radio or television transmission, entails.

A band-stop filter, also known as a band-rejection filter, is a signal processing filter that passes most frequencies unmodified while attenuating those in a certain frequency range to very low levels. It's the inverse of a band-pass filter. A band stop filter is commonly used in audio signal processing to remove a specified range of undesired frequencies of sound, such as noise or hum, without attenuating the remainder.

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A motorcycle has a constant speed of 29 m/s as it passes over the top of a hill whose radius of curvature is 108 m. The mass of the motorcycle and driver is 350 kg. Find the magnitude of the normal force that acts on the cycle.

Answers

The magnitude of normal force (N) on motorcycle is 704.537 N

In this type of scenario, we have been told that the mass, denoted by "m," is 350 kilograms, that the speed of the motorcycle, denoted by "v," is 29 meters per second, and that the radius of curvature, denoted by "R," is 105 meters. We can utilize the second law of motion that Newton proposed to compute the magnitude of the normal force, which is as follows:

[tex]m . g - N = \frac{mv^{2} }{R}[/tex]

By applying the formula above we have:

[tex]350 x 9.8 - N= \frac{350x29^{2} }{108}[/tex]

3430 - N = 2725.46296

N = 3430 - 2725.46296

N = 704.537 N

Thus, the magnitude of normal force on motorcycle would be 704.537 N

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At one instant, a falling object has 40 J of potential energy, and 20 J of kinetic energy. Later, it has only 25.5 J of potential energy. If mechanical energy has remained constant, how much kinetic energy does it have? ⠀⠀​

Answers

Answer:

34.5 J

Explanation:

ME = PE + KE

Total Mechanical Energy is always conserved, so ME remains same as the object falls.  As PE decreases, KE increases.

Instant 1:  ME = 40 J + 20 J = 60 J

Instant 2:  ME = 60 J = 25.5 J + KE

KE = 60 J - 25.5 J = 34.5 J

A driver needs to make a delivery to an office that is 30 KM away. The driver has traveled for 45 minutes W. down the straight Road at 50 KM/H. Has the driver traveled far enough to reach the office? Support your response. 

Answers

Answer:

Yes, the driver traveled far enough to reach the office.

Explanation:

We can use the formula

[tex]v=\frac{x}{t}[/tex]

We are given

[tex]x=30[/tex] KM

[tex]t=45[/tex] min

[tex]v=50[/tex] KM/H

Lets convert minutes to hours.

To convert minutes to hours divide the speed by 60.

[tex]\frac{45}{60} =\frac{3}{4} =0.75[/tex]

Now we have

[tex]x=30[/tex] KM

[tex]t=0.75[/tex] H

[tex]v=50[/tex] KM/H

[tex]v=\frac{x}{t}[/tex]

Solve for x.

[tex]x=vt[/tex]

Lets substitute our values into the equation.

[tex]x=50*0.75[/tex]

[tex]x=37.5[/tex]

[tex]37.5 > 30[/tex] So the answer is yes;  the driver traveled far enough to reach the office.

The driver has to travel 35 km to reach the office. The distance he covered with a speed of 50 km/h within 45 minutes or 0.75 hour is 37.5 km. Hence, he travelled enough to reach the office.

What is velocity?

Velocity of a moving body is the measure of distance it covered within unit time. The velocity is a vector quantity and have a magnitude and direction. The units of velocity are km/h, m/s etc.

Velocity is the ratio of change in distance to the change in time. Hence, distance can be calculated by multiplying the velocity with time.

Given that, velocity of the driver = 50 Km/h

time taken = 45 minutes = 45/60 =0.75 hr

Therefore, the distance = 0.75 hr × 50 km/h = 37.5 km

The distance to the office is 30 km. Therefore, the driver traveled far enough to reach the office.

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You and your friend decide to go on a weekend road trip to the nearby mountains. In your car is a barometer that reads 1003 mb as you leave home. Later, you arrive in the mountains and make the long,winding drive up to Summit Lodge, a motel known for its great view of the valley below. You notice that the barometer reads 960 mb. Your friend says,"That’s an extremely low pressure, which means a strong storm must be coming. We better head back home right now.' How would you reason with your friend to save the weekend?

Answers

I would explain to my friend that while a low barometer reading can indicate a storm, it is not the only factor that determines whether or not a storm is coming.

What is the barometer reading about?

Other factors such as temperature, humidity, and wind direction also play a role in determining weather patterns. Additionally, a reading of 960 mb is not necessarily "extremely low" and could simply indicate a change in altitude as we have driven up into the mountains.

Therefore, I would suggest checking the weather forecast for the area and considering other signs of approaching bad weather before making a decision to head back home. We could also look for other ways to prepare for the trip.

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4.

a) A loaded box car has a total mass of 6.80 x 10 kg. If the train is travelling at a speed
of 23.7 m/s, what is the mechanical kinetic energy of the box car?




b) If a family car has a mass of 1237 kg, how fast would it have to go to have the same
mechanical kinetic energy as the box car in part a)?

GIVING BRAINLIEST

Answers

Mechanical kinetic energy is the energy of an object due to its motion.

a) Mechanical kinetic energy = (1/2)*mass*(velocity)^2

Mechanical kinetic energy = (1/2)*(6.80 x 10^3 kg)*(23.7 m/s)^2

Mechanical kinetic energy = 3.27 x 10^7 J

b) The mechanical kinetic energy of a moving object can be calculated using the following formula:

KE = 0.5 * m * v²,

where m is the mass of the object and v is the velocity.

In this case, we know the mass of the family car (1237 kg) and the mechanical kinetic energy of the box car (50444 J). To calculate the speed of the family car, we can rearrange the formula to solve for v:

v = √(2*KE/m)

v = √(2*50444/1237)

v = 42.62 m/s

What is Mechanical kinetic energy?

Mechanical kinetic energy is the energy associated with the movement of a body or object. It is also known as the energy of motion and is equal to one half of the mass of the object multiplied by the square of its velocity.

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The following data was collected for a runners speed:4 mi/hr,3mi/hi,6.9mi/hr,and 7mi/hr.

Answers

No, the given data of runners speed is not a precise data as this variation is not possible for a runner.

What is Precise data?

Measurements are called as precise when we measure the same item multiple times and the values of each measurement are close to each other. However, the precision tells us nothing about whether the measured values are near to the correct value or not. Measurements that  are made can be close to each other but far from the proper value of the measurement.

In order to get the most reliable results in a scientific inquiry or measurement, it is important to minimize the bias and error in experiment, as well as to be precise and accurate in the collection of data.

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Your question is incomplete, most probably the complete question is:

The following data was collected for a runners speed: 4 mi/hr, 3 mi/hr, 6.9 mi/hr, and 7 mi, hr. Is this data precise? Explain

Vector A has a magnitude of 3 meters/seconds and points in the positive direction vector B has a magnitude of 10 meters/seconds and points in the negative direction. What is the resultant

Answers

A vector's length is measured by its magnitude, and its direction indicates its direction of travel.

What is the magnitude and direction?

The magnitude of a vector denotes its length, and the direction indicates its direction. There are several ways to express vector direction, but degrees are the most used. Examples of vectors are acceleration and velocity.

Given a location vector v=a,b, the magnitude is calculated using the formula |v|=a2+b2. Depending on the application, the direction is equal to the angle made with either the x- or y-axis.

The angle a vector makes with a horizontal line determines its direction. Tan is equal to y2 y1x2 x1, where x1,y1 and x2,y2 are the starting and ending points, respectively.

Subtract the coordinates of the starting position from the coordinates of the destination point to determine the directional vector.

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An empty plane whose mass is 30, 400Kg has a maximum takeoff acceleration of 1.20m/s2 . What is its maximum acceleration when it is carrying a load of 8200Kg?​ Ignore friction.

Answers

Answer:0.95 m/s2

Explanation: The thrust of the engines, calculated for weight

F=ma=30400·1.2=36480\text{ N}.F=ma=30400⋅1.2=36480 N.

The acceleration with the load is

aL=\frac F{m+M}=\frac{36480}{30400+8200}=0.95\text{ m/s}^2.aL​=m+MF​=30400+820036480​=0.95 m/s2

Please help!!!
What is the average force if the car takes 1.5 seconds to stop?

Answers

Answer:Approximately 7 m/s 2

Explanation:In an emergency the average driver takes approximately 1.5 seconds to react A modern vehicle with good brakes and tyres, after braking, is capable of stopping at approximately 7 m/s 2. A dry road that is sealed and level enables good friction between the tyres and the road to help stop the vehicle sooner.

Consider the chemical equation below:
S₂O²+1 13 + SO₂

a)The reaction is carried out in a basic solution. Express a balanced redox equation using the ion-electron method. ​

Answers

Answer:

emmm

I really think that the answer to the whole thing will be

S2 +O4+113

what is output light frequency of material used before doubling

Answers

The output light frequency of material used before doubling will be 0.056 Hz.

What is frequency?

The term frequency refers to the number of repetitions that there will be for a certain unit of time. Frequency is usually measured in hertz (Hz). The hertz is going to tell us the number of frequencies per second, which would then be a cycle per second.

The frequency can be calculated by counting the number of occurrences within a time interval and dividing by the time that elapsed in that period. So the calculation will be:

                                                  1 Hz=[tex]\frac{1}{s}[/tex]

A term that is related to the frequency and that is reciprocal to it is the period, which refers to the duration of time of a cycle in an event that is going to be repeated.

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If the springy part of the fern were attached to one seed and the stem, then when the --------- energy of a springy part is converted to ------- energy, some of the ----------energy would be on the stem.
In fact, if the stem has very little mass, then it would move a greater distance than the seed and according to -------------, more work would be done on the -------------
than on the ------------------.
If there are two seeds, then each will leave with the same ---------------- energy and no energy is wasted on unwanted motion of the stem.

Answers

"If the springy part of the fern were attached to one seed and the stem, then when the elastic potential energy of a springy part is converted to kinetic energy, some of the kinetic energy would be on the stem. In fact, if the stem has very little mass, then it would move a greater distance than the seed and according to W = f delta x, more work would be done on the stem than the seed. If there are two seeds, then each will leave with the same kinetic energy and no energy is wasted on unwanted motion of the stem."

Kinetic energy is possessed by the bodies which are in movement.

Elastic potential energy is the kind of energy stored as a result of applying force to deform an elastic object.

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. When a longitudinal wave passes through air, the instantaneous acceleration of the particle is proportional to its A. velocity B. displacement C. time period D. frequency ​

Answers

Answer:a i think

Explanation:

When a longitudinal wave passes through air, the instantaneous acceleration of the particle is proportional to its displacement. Hence, option (B) is correct.

What is simple harmonic motion?

Simple harmonic motion is a specific sort of periodic motion of a body that arises from a dynamic equilibrium between an inertial force in mechanics and physics (often referred to as SHM).

It operates as a restoring force on the moving object that is directly proportional to the size of the object's displacement and acts in the direction of the object's equilibrium position. It is proportional to the acceleration of the body away from the static equilibrium position.

When a longitudinal wave passes through air, the particles of the air posses simple harmonic motion. Hence,  the instantaneous acceleration of the particle is proportional to its displacement.

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Does changing the amount of a substance change its mass volume or density

Answers

Changing the amount of the substance will lead to changes in the mass and the volume of that substance and therefore, the density of the substance.

What is Density?

Mass can be defined as the measurement of the amount of matter in an object or any substance. The volume of a substance is the three-dimensional space which is enclosed by the closed surface or boundary.

Density is the measurement of mass of an object per unit volume of that object. The relation between the density and volume of an object is directly proportional. That means, any change in the volume of the substance will eventually result in the change in the density of an object and vise-versa.

Density (ρ) = mass (m)/ volume (v)


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Class
CSI: Physics K (Acceleration and Free fall)
Freefall Scenario #1: Party Apartments
As a crime scene investigator, a case comes to your desk. A
man fell to his death on top of a car last night while attending
a party at an apartment complex. After interviewing a few
residents, you learn that the party was poppin' across the
entire top half of the building. Also, nobody claims to have
seen the man fall. You need to figure out which floor he fell
from...with SCIENCE.
Investigation:
-Lab analysis of the damaged car windshield estimates that he
was falling as a velocity of 19 m/s at the time of impact.
a) For how long was the man falling for? t ==
b) How high up was the man when he began to fall? h =
c) What floor did he fall from? -
Floor
set
36m-40m
32m-36m
28m-32m
24m-28m
20m-24m
16m-20m
V₁= 19 m/s
ELTELIEL EL
VERTEL
Sa
10th
9th
8th
7th
6th
5th

Answers

Answer:

The man was falling for about 20 seconds from the 28th floor to the 20th floor.

Explanation:

. He was falling at a velocity of 19 m/s at the time of impact.

The force F exerted on a ball during a collision with a wall is given as a function of time t by the equation F(t) = αt - βt 2 , where α = 400 N/s and β = 4000 N/s 2 . The ball first contacts the wall at t = 0, and the collision lasts for 0.10 s. What is the magnitude of the change in momentum of the ball?
a. 0
b. 0.67 kg m/s
c. 3.33 kg m/s
d. 3.60 kg m/s
e. The change in momentum of the ball cannot be determined without knowing the mass of the ball

Answers

The magnitude of the change in the momentum of the ball during the collision is 0 kgm/s. Correct option (a)

The given parameters:

Applied force, F(t) = αt - βt²

α = 400 N/s

β = 4000 N/s²

Duration of the collision, t = 0.1 s

The magnitude of the change in the momentum of the ball during the collision is calculated as follows;

change in momentum = impulse

ΔP = Ft

ΔP = (αt - βt²)t

ΔP = αt² - βt³

ΔP = 400t²  - 4000t³

∆P=400*(0.1)^2 -4000*(0.1)^3 = 4-4 =0.

∆P=  0. kg m/s

Thus, the magnitude of the change in the momentum of the ball during the collision is 0 kgm/s.

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How many electrons must be removed from a neutral object to leave a net charge of
0.560 µC?

Answers

The total number of electrons removed from the neutral object is  3.5 × 10¹⁰ .

What is charge?

The physical characteristic of matter that causes it to feel a force when exposed to an electromagnetic field is called electric charge.

The two types of electric charges - protons and electrons.

The net change of the object = 0.560 μC = 0.560 × 10⁻⁶ Coulomb.

Electric charge of each electron = - 1.6 × 10⁻¹⁷ Coulomb.

Hence, the total number of electrons removed =  net change of the object ÷ charge of each electrons

= 0.560 × 10⁻⁶ Coulomb ÷  1.6 × 10⁻¹⁷ Coulomb.

= 3.5 × 10¹⁰ .

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A kid was drinking a soda. He took a sip, felt something in his mouth, and was stung by a bee on the inside of his cheek. It was very painful! For years afterward, he felt very anxious anytime he went to drink soda. Unconditioned Stimulus, Unconditioned Response, Conditioned Stimulus and Conditioned Response.

Answers

Answer:

I think its conditioned response

Transformers are devices used to increase or decrease AC voltages with very little waste of
energy. Step-up transformers allow a device such as a television tube, which may need
25,000 V, to get the voltage it needs from a wall outlet that usually supplies only 120 V.
Likewise, a step-down transformer can allow a small device, such as a battery charger, to be
supplied from the same outlet with as little as 1.5 V.
Imagine that you had to construct a transformer capable of running a television set that was
going to be plugged into a conventional 120 V outlet that was on a 15 A line. On the primary
coil of your transformer are 200 turns.
1. How many turns will you need on your secondary coil if the television needs 25,000 V to
function?

Answers

Answer: 4167 turns

Explanation: Given turns in Primary coil(Np) = 200 Turns

Voltage provided(Vp) =120V..........    (Primary Voltage)

Required Voltage(Vs) = 25,000V .............(Secondary Voltage)

Turns in Secondary Coil (Ns) =?

As we know Ns/Np=Vs/Vp

so     Ns/200=25,000/120

120*Ns= 50,00,000

Ns = 4167 Turns

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