7. A man running a 100 m race accelerates uniformly from rest for the first 7 seconds and reaches a velocity of 10 m s. He maintains this velocity for the rest of the race. His time for the race is 12 s. Sketch a velocity-time graph. Calculate (a) the value of T, (b) the acceleration,​

When a town puts in new power lines during the height of summer, it needs to be able to handle the increased electrical load on the power grid that will probably come from more people using air conditioners.

The power grid needs to be able to handle the increased demand for electricity that will result from the use of air conditioning when new power lines are installed. In order to guarantee that there is sufficient capacity to meet the increased demand, this may necessitate improvements to the existing infrastructure, which may include transformers, distribution lines, and substations.

In addition, it may be necessary to coordinate the installation of new power lines with the local utility company to avoid disrupting the existing power supply to homes and businesses. This may necessitate temporary power outages or other measures to guarantee that the installation goes off without a hitch and does not pose any safety risks.

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The total distance traveled by the skier is  160 m.

option C.

Distance is a measure of how far apart two objects or points are. It can be defined as the numerical value of the physical space between two objects or points.

Distance can be measured in a variety of units, such as meters, feet, miles, or kilometers, depending on the system of measurement used.

Distance can also refer to the length of a path between two points, which can be a straight line or a curved line.

The total distance traveled by the skier is calculated as follows;

total distance = distance ( 0 min) + distance (1 min) + distance (2 min) + distance ( 3 mins)

total distance = 0 m + (120 m - 0 m) + ( 160 m - 120 m )

total distance = 0 m + 120 m + 40 m = 160 m

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Answer:

Given:

R1 = 20 ohms

R2 = 20 ohms

R3 = 30 ohms

Total resistance = 10 ohms

Power = 0.36 kW

1/Req = 1/20 + 1/20 + 1/30

1/Req=2/15

Req 15/2

Req = 7.5 ohms

Hence, 10 - 7.5 = 2.5 ohms

PIR, hence 0.36 x 103

= I²(10)

I = √360/10 = √36 = 6 A

The object's kinetic energy, in contrast to potential energy, is relative to other fixed and moving things that are present inside its immediate vicinity.For instance, if the item is positioned at a higher height, its kinetic energy will be higher.

As height is reduced, potential energy is reduced as well.If height lowers, the kinetic energy for a freefall similarly reduces.That is as a result of the shorter distance to be traveled.

A doubling in height will lead to a doubling in gravitational potential energy since an object's gravitational potential energy is directly proportionate to its height above the zero point.The potential energy of gravity will triple with a tripling of height.

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The frequency of the first, second, and third harmonics of the wind chimes are 560 Hz, 1120 Hz, and 1680 Hz, respectively.

What is Frequency?

Frequency is a measure of the number of cycles or oscillations of a periodic event that occur in a unit of time. In other words, it is the rate at which something repeats itself over time. Frequency is commonly expressed in Hertz (Hz), which represents the number of cycles per second.

To calculate the frequency of the harmonics of the wind chimes, we can use the formula:

f = nv/2L

where f is the frequency, n is the harmonic number (1 for the fundamental, 2 for the second harmonic, etc.), v is the speed of sound, and L is the length of the air column.

Substituting the given values, we get:

For the fundamental (n=1):

f = (1 x 336)/2(0.3) = 560 Hz

For the second harmonic (n=2):

f = (2 x 336)/2(0.3) = 1120 Hz

For the third harmonic (n=3):

f = (3 x 336)/2(0.3) = 1680 Hz

Therefore, the frequency of the first, second, and third harmonics of the wind chimes are 560 Hz, 1120 Hz, and 1680 Hz, respectively.

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Answer:

The work done can be calculated using the formula:

work = force × distance × cos(theta)

where force is in newtons, distance is in meters, and theta is the angle between the force and the displacement. Assuming that the force is applied vertically upwards and the displacement is also vertically upwards:

work = 45 N × 3 m × cos(0°)

= 135 J

Therefore, the work being put out by Brandon is 135 joules.

Explanation:

Two examples of systems that use echo time in their operation are Sonar

and Echocardiography.

Echo time is a measure of the time delay between the transmission of a signal and the reflection of that signal back to its source. Here are two examples of systems that use echo time in their operation:

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Explanation:

The work done by a force F over a displacement d is given by the dot product of the force and the displacement:

W = F · d

where · denotes the dot product.

We are given that the work done is 33 J, so

F · d = 33 J

We can find the dot product by taking the sum of the products of the corresponding components:

F · d = (2i + 5j) · (-i + 7j) = 2(-1) + 5(7) = 33

Now, we can find the magnitude of the force and displacement vectors:

|F| = √(2² + 5²) = √29

|d| = √((-1)² + 7²) = √50

The angle between the force and displacement vectors can be found using the dot product:

F · d = |F| |d| cos θ

cos θ = (F · d) / (|F| |d|)

cos θ = 33 / (√29 √50)

cos θ ≈ 0.603

θ ≈ 53.2°

However, we are looking for the angle between the force and the displacement, which is the supplement of θ, so:

angle = 180° - 53.2° ≈ 126.8°

None of the answer choices match this result, so we must have made a mistake.

Let's check our work. We made an error in the calculation of the cosine of θ. It should be:

cos θ = (F · d) / (|F| |d|)

cos θ = 33 / (√29 √50)

cos θ ≈ 0.433

θ ≈ 64.2°

The angle between the force and displacement vectors is approximately 64.2°.

Now we can check the answer choices:

A. 17.4° - Too small

B. 21.6° - Too small

C. 29.9° - Too small

D. 32.7° - Too small

E. 39.8° - Too small

None of the answer choices match the calculated angle of 64.2°. Therefore, the correct answer is not among the choices given.

The potential energy of the mass is 0.0452 J when it is at a distance of

0.0600 m from equilibrium.

How to calculate potential energy?

The potential energy stored in a spring when it is stretched or compressed by a displacement x is given by:

[tex]$PE = \frac{1}{2}kx^2$[/tex]

where k is the spring constant.

In this problem, the spring constant is given as 26.6 N/m, and the displacement of the mass from equilibrium is

[tex](0.120 m - 0.0600 m) = 0.0600 m.[/tex]

Therefore, the potential energy stored in the spring when the mass is at a distance of 0.0600 m from equilibrium is:

[tex]$PE = \frac{1}{2}kx^2 = \frac{1}{2}(26.6 N/m)(0.0600 m)^2 = 0.0452 J$[/tex]

So the potential energy of the mass is 0.0452 J when it is at a distance of 0.0600 m from equilibrium.

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Answer: 0.0479

Explanation: This answer works for Acellus! :D

hope this helps!

The second mass will have a velocity of v² = 4√F of the force, F. Since the displacement and the force are the same in both cases

Frictional force is a force that opposes motion between two surfaces in contact. When two surfaces are in contact, there are microscopic irregularities that prevent them from sliding over each other easily. As a result, a force is required to overcome this resistance and move one surface over the other.

The frictional force between two surfaces depends on several factors, including the type of surfaces in contact, the force pressing the surfaces together (normal force), and the presence or absence of lubrication.

According to the work-energy principle, the work done by a force on an object is equal to the change in the object's kinetic energy. This principle can be used to solve the problem.

For the first case, the work done by the force F is:

                           W = Fd

where d is the displacement of the mass. This work is equal to the change in kinetic energy of the mass:

                                W = ΔK

where ΔK = (1/2)mv² - 0 is the change in kinetic energy, since the mass starts from rest.

Combining these equations, we get:

                                 Fd = (1/2)mv²

For the second case, the work done by the force 2F is:

                            W = 2Fd

This work is equal to the change in kinetic energy of the mass:

                                 W = ΔK

where ΔK = (1/2)(1/2)m v₂² - 0 is the change in kinetic energy, since the mass starts from rest.

Combining these equations, we get:

2Fd = (1/4)mv₂²

Solving for v², we get:

v² = √(8Fd/m)

Since the displacement and the force are the same in both cases, we can substitute the first equation into the expression for v²:

                             v² = √(8F(1 m)/(1/2m))

                                   v² = √(16F)

                                      v² = 4√F

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Answer:

3 second is the answer of your question

If you hold a coin above the head while in a bus that is not moving, the coin will land at the feet when we drop it. This is because, the bus is in motion relative to the Earth.

Newton's first law of Motion states that an object at rest remains at rest, or an object in motion remains in motion at a constant velocity unless and until acted on by an external force.

When the coin is dropped in the bus, it will land on the feet. Relative to the earth, the bus moves and the person move relative to the earth because the person is inside the bus. However, relative to the bus the person is not moving since they are the inertial frame of reference is on the bus, therefore, the coin will land on the feet.

While the bus is stationary and the coin is placed above the head of any passenger, it will drop on the foot of that person as the neither the bus is moving nor that person.

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To solve this problem, we can use conservation of energy:

Initial mechanical energy (at the top of the hill) = final mechanical energy (at the bottom of the hill)

Initial mechanical energy = mgh, where m is the total mass of the child and sled, g is the acceleration due to gravity (9.8 m/s^2), and h is the vertical height of the hill. Since the hill makes an angle of 16.9° with respect to the horizontal, we can use trigonometry to find the height:

h = (length of slope) * sin(16.9°)

We don't know the length of the slope, but we can solve for it by using the final speed of the child and sled:

Final mechanical energy = (1/2)mv^2, where v is the final speed of the child and sled.

Setting these equal, we get:

mgh = (1/2)mv^2

Substituting for h and solving for the length of the slope:

(length of slope) = v^2 / (2g*sin(16.9°))

Plugging in the given values:

(length of slope) = (6.8 m/s)^2 / (29.8 m/s^2sin(16.9°)) ≈ 12.5 meters

Therefore, the child and sled slide about 12.5 meters along the slope.

The mass of block A is 0.906 kg.

The principle of energy conservation can help us resolve this issue. The gravitational potential energy of block B is transformed into the kinetic energy of the system at the beginning of the motion as it descends.

The pulley is subsequently rotated with some of this kinetic energy, and block A is raised with the remainder.

All of the initial potential energy is transformed into the potential energy of the lifted block and the rotating kinetic energy of the pulley at the conclusion of the motion.

The initial potential energy of the system is:

U = mgh = (m_A + m_B)gh

where m_A and m_B are the masses of blocks A and B, h is the height from which the system is released.

The final kinetic energy of the system is:

K = (1/2)Iω^2 + (1/2)(m_A + m_B)v^2

We can use the relationship between distance and angle to relate the angular velocity of the pulley to the velocity of block B:

v = rω

Substituting this into the expression for K and simplifying, we get:

K = (1/2)Iω^2 + (m_A + m_B)(rω)^2/2

Now we can equate U and K, and solve for m_A:

(m_A + m_B)gh = (1/2)Iω^2 + (m_A + m_B)(rω)^2/2

Solving for m_A, we get:

m_A = [(1/2)Iω^2 + (m_A + m_B)(rω)^2/2 - m_Bgh] / g

Substituting the given values, we get:

m_A = [(1/2)(1.40 kg⋅m^2)(8.00 rad/s)^2 + (m_A + 4.60 kg)(0.200 m)(8.00 rad/s)^2/2 - 4.60 kg(9.81 m/s^2)(1.20 m)] / 9.81 m/s^2

Simplifying and solving for m_A, we get:

m_A = 0.906 kg

Therefore, the mass of block A is 0.906 kg.

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The perpendicular force exerted by the incline on the car is Fw cosθ.

Normal reaction force is defined as a contact force that is exerted by the surface on an object which is in contact with it. It prevents the object from passing through the surface.

Here,

Weight of the car is Fw

The incline makes an angle θ with the horizontal.

From the figure,

The perpendicular force exerted by the incline, N = Fw cosθ

Hence,

The perpendicular force exerted by the incline on the car is Fw cosθ.

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The acceleration of the moving vehicle when velocity and time is given would be = 15.2 km/hr²

Acceleration is defined as the quantity that shows the change on velocity of a moving object with respect to change in time.

That is;

acceleration = ∆velocity/∆time.

Velocity is defined as the change in the distance of a moving object with respect to time.

The velocity of the moving vehicle = 38km/hr

The time given = 2.5 hrs

Acceleration = velocity/time

= 38/2.5

= 15.2 km/hr²

Therefore, the acceleration of the vehicle when velocity and time is given = 15.2 km/hr².

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The situation in which light slow down is from a vacuum to air which is therefore denoted as option D.

This is referred to as the space in which there is no matter or in which the pressure is so low that any particles in the space do not affect any processes.

When light travels through a medium other than vacuum, it will be slowed down. For instance, when light propagates through water or air, it will do so at a slower speed because the speed of light is faster in a vacuum than in any other medium and would slow down going from a vacuum to air.

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Answer:

The temperature when the resistance is 9.61 ohms is -17.3°C. The resistance of the wire when the temperature is 45°C is 11.45 ohms.

Explanation:

Answer:

Explanation:

m

The height the two balls will collide at 5.1 m above the ground after travelling for 1 second

Let's assume that the upward direction is positive, and the downward direction is negative. We can use the kinematic equations of motion to solve the problem.

For the ball that is dropped, we can use the equation:

y = y₀ + v₀t + 1/2 at²

Where:

Therefore, the equation becomes:

y = 10 + 0t - 1/2 (9.8)t²

For the ball that is thrown upward, we can use the equation:

y = y₀ + v₀t + 1/2 at²

where:

Therefore, the equation becomes:

y = 0 + 10t - 1/2 (9.8) t²

Since both balls will collide at the same height, we can equate the two equations to solve for t and y.

10 - 1/2 (9.8) t² = 10t - 1/2 (9.8) t²

Simplifying the equation, we get:

10t = 10

t = 1 second

Substituting t = 1 second into either equation, we get:

y = 10 * (1) - 1/2 (9.8) * (1)²

y = 5.1 meters

Therefore, the two balls will collide at a height of 5.1 meters above the ground.

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Answer:

31,500 joules

Explanation:

Work = force * distance * cos(theta)

Force = 4500N (weight of the barbell)

Distance = 7m (the height lifted)

Theta = 0 (cosine of 0 degrees is 1, since the force and distance are in the same direction)

So, Work = 4500 N * 7m * cos(0)

Work = 31,500 joules

Answer:

Neutronic is not a defined type of energy.

P = E/t, where P is for power, E is for energy, and t is for time in seconds, denotes this relationship. Power is defined as the amount of energy consumed per unit of time according to this formula. Choice D

Energy is the capacity to perform work, according to scientists. Because of the ability to transform energy from one type of energy to another and use it to accomplish tasks, modern civilisation is feasible.

Energy is a term that denotes a property of matter & non-matter fields; energy is not a substance in and of itself. For instance, it's argued that kinetic energy exists when a substance moves. Potential energy comes in many different forms as well.

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Butyl rubber is the measured value agrees with an established value if the established value is within a range of ±2Δx of the measured mean.

What is temperature ?

The movement of these particles likewise increases with rising temperature. A thermometer or a calorimeter are used to measure temperature.

What is reaction ?

The transformation of one or more reactants into one or more new products is referred to as a chemical reaction. Substances are made of chemical constituents or compounds. The transformation of one or more reactants into one or more new products is referred to as a chemical reaction. Substances are made of chemical constituents or compounds.

Therefore, Butyl rubber is the measured value agrees with an established value if the established value is within a range of ±2Δx of the measured mean.

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The final kinetic energy of the student is 352 J. We can use the formula for kinetic energy, $KE=\frac{1}{2}mv^2$, to solve for the final velocity, $v$,

Kinetic energy is the energy of motion. It is the energy that an object has due to its motion. It is one of the forms of energy that exist in nature. Kinetic energy is related to the mass of an object and its velocity. The greater the mass of an object, or the faster its velocity, the more kinetic energy the object possesses. Kinetic energy can be converted into other forms of energy such as heat or electricity, and can also be transferred from one object to another.

$352 = \frac{1}{2}mv^2$

$v = \sqrt{\frac{352}{m}}$

where $m$ is the mass of the student.

Now, we can use the equation for work, $W=Fd$, to calculate the distance the student must be pushed to reach the final velocity:

$W = Fd = mv^2$

$d = \frac{mv^2}{F} = \frac{m\sqrt{\frac{352}{m}}}{45} = \frac{\sqrt{352m}}{45}$

Therefore, the student must be pushed a distance of $\frac{\sqrt{352m}}{45}$ to reach a final kinetic energy of 352 J.

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The volume (in gallon) of water that have the same mass as the bar of gold is 0.153 gallon

We'll begin by obtaining the mass of the gold bar. This is given below:

Density = mass / volume

Cross multiply

Mass = Density × Volume

Mass of gold bar = 19300 × 0.00003

Mass of gold bar = 0.579 Kg

Finally, we shall determine the volume of water having the same mass as 0.579 Kg of the gold bar. Details below:

Volume = mass / density

Volume of water = 0.579 / 1000

Volume of water = 0.000579 m³

Multiply by 264.172 to express in gallon

Volume of water = 0.000579 × 264.172

Volume of water = 0.153 gallon

Thus, we can conclude that the volume of the water is 0.153 gallon

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The work done in raising an object is equal to the force applied to the object multiplied by the distance it is moved.

Objects in programming are entities that contain data and can be manipulated by code. They are commonly used to represent real-world things, such as a customer or an employee, or even abstract concepts such as a bank account. Objects are made up of properties, which are the data associated with the object, and methods, which are functions that objects can perform. Objects interact with one another through messages, which are sent from one object to another, allowing them to work together.

Therefore, we can calculate the distance the apple is lifted using the formula:

Work = Force × Distance

2.0 J = (0.180 kg)(9.8 m/s2) × d

d = 2.0 J / (0.180 kg)(9.8 m/s2)

d = 12.2 m

The apple is lifted 12.2 meters.

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When a company develops and continues to improve its products, it is using the product development marketing function.

Product, pricing, place, and promotion make up the four Ps. They serve as an illustration of a "marketing mix," or the collection of tools and techniques utilized by marketers to accomplish their marketing goals.

The selling function entails identifying the requirements and desires of the customer and then providing planned, personalized communication that affects purchase decisions and expands potential future business relationships. The duty of this is to genuinely deliver the goods that clients demand.

Determine the consumer's needs: Identifying the demands and desires of the market's consumers is the first stage in the marketing function. As a result, companies or enterprises need to acquire client information and analyze the data they have collected.

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The distinction among renewable and nonrenewable is substantial. One explanation for why some materials are unique to specific locations is the movement of tectonic plates. On Earth, not every resource can be found.

Huge fragments of the Planet's crust and upper mantle make up tectonic plates. They are composed of both continental and oceanic crust. Along pre ridges and the significant faults that define the plate boundaries, earthquakes happen.

According to the idea of plate tectonics, Earth's crust is made up of enormous solid rock slabs called "plates" that move across the beneath, the rock inner layer above the planet's core. The crust is a part of the solid outer layer of the earth.

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The new speed of the 5kg cart after the collision is 3.6 m/s to the right.

Product of mass with the velocity of an object is referred to as momentum.

As we know that :m1v1i + m2v2i=m1v1f + m2v2f

m1 and m2 are masses of the carts, v1i and v2i are initial velocities of the carts, and v1f and v2f are final velocities of the carts.

m1v1i + m2v2i = (m1 + m2)vf

(5 kg)(10 m/s) + (8 kg)(0 m/s) = (5 kg + 8 kg)(vf)

50 kgm/s = 13 kgvf

vf = 50 kg*m/s / 13 kg

vf = 3.846 m/s

So the final velocity of the combined carts after the collision is 3.846 m/s to the right.

m1v1i + m2v2i = m1v1f + m2v2f

v1i is the initial velocity of 5kg cart, which is 10 m/s to right, and v2f is final velocity of the 8kg cart, which is 4 m/s to right. We know  final velocity of the combined carts is 3.846 m/s to the right,

(5 kg)(10 m/s) + (8 kg)(0 m/s) = (5 kg)(v1f) + (8 kg)(4 m/s)

50 kgm/s = 5 kgv1f + 32 kg*m/s

5 kgv1f = 18 kgm/s

v1f = 3.6 m/s to the right

Therefore, the new speed of the 5kg cart after the collision is 3.6 m/s to the right.

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Conformity is more likely in individuals from collectivist cultures. In collectivist cultures, social harmony and group cohesion are highly valued, and individuals are expected to prioritize the needs and goals of the group over their own individual needs and desires. This emphasis on group harmony can lead to a greater tendency towards conformity, as individuals strive to fit in with the group and avoid standing out or causing conflict.

In contrast, in individualistic cultures, there is a greater emphasis on individual autonomy and self-expression, and conformity is generally less valued. Individuals in individualistic cultures are more likely to prioritize their own personal goals and values over those of the group and may be more willing to express their individuality and deviate from group norms.