1. A bicyclist starts at 2.5 m/s and accelerates along a straight path to a speed of 12.5 m/s in
a time of 4.5 seconds. What is the bicyclist's acceleration to the nearest tenth of a m/s??

Answers

Answer 1

Answer:

2.2m/s

Explanation:

a=v-u/t

12.5-2.5/4.5=2.222

~2.2m/s


Related Questions

You launch a model rocket from ground level. It moves directly upward with a constant acceleration of 71.0 m/s2 for 1.45 seconds, at which point it runs out of fuel. Assuming air resistance on the rocket is negligible, what is the maximum altitude (above the ground) achieved by the rocket?
m

Answers

Answer:

74.0 meters

Explanation:

We can use the kinematic equation for displacement with constant acceleration to solve this problem:

Δy = v0t + 1/2at^2

where Δy is the displacement (i.e., the change in height), v0 is the initial velocity (which is 0), a is the constant acceleration, and t is the time taken.

Plugging in the given values, we get:

Δy = 0 + 1/2(71.0 m/s^2)(1.45 s)^2

Δy = 74.0 m

Therefore, the maximum altitude achieved by the rocket is 74.0 meters above the ground.

A child's toy consists of a spherical object of mass 50 g attached to a spring. One end of the spring is fixed to the side of the baby's crib so that when the baby pulls on the toy and lets go, the object oscillates horizontally with a simple harmonic motion. The amplitude of the oscillation is 6 cm and the maximum velocity achieved by the toy is 3.2 m/s . What is the potential energy (U) of the toy when the spring is compressed 4.4 cm from its equilibrium position? *I found the KE, but need help on PE*

Answers

Answer:

0.14 J

Explanation:

The maximum velocity is the amplitude times the angular frequency.

vmax = Aω

ω = vmax / A

ω = (3.2 m/s) / (0.06 m)

ω = 53.3 rad/s

For a spring-mass system:

ω = √(k / m)

ω² = k / m

k = ω²m

k = (53.3 rad/s)² (0.050 kg)

k = 142 N/m

The elastic potential energy is:

EE = ½ kx²

EE = ½ (142 N/m) (0.044 m)²

EE = 0.14 J

Which set of changes is most likely to cause the current in an electrical circuit
to stay the same?
A. Decreasing voltage and keeping resistance constant
B. Increasing voltage and increasing resistance
C. Increasing voltage and keeping resistance constant
D. Keeping voltage constant and increasing resistance

Answers

Answer:

D: keeping voltage constant and increasing resistance.

Explanation:

The current in an electrical circuit is determined by Ohm's law, which states that the current is directly proportional to the voltage and inversely proportional to the resistance.

Mathematically, Ohm's law can be expressed as:

I = V/R

where I is the current, V is the voltage, and R is the resistance.

We need to make sure that the right-hand side of the equation remains constant to keep the current in the circuit the same. Therefore, we can look at each set of changes and see how they affect the right-hand side of the equation.

A. Decreasing voltage and keeping resistance constant:

If we decrease the voltage (V) and keep the resistance (R) constant, the right-hand side of the equation becomes smaller. This means that the current (I) will also decrease, so this set of changes will not cause the current to stay the same.

B. Increasing voltage and increasing resistance:

If we increase both the voltage (V) and resistance (R), the right-hand side of the equation can go either way, depending on which one increases more. However, in most cases, the current (I) will increase, so this set of changes will not cause the current to stay the same.

C. Increasing voltage and keeping resistance constant:

If we increase the voltage (V) and keep the resistance (R) constant, the right-hand side of the equation becomes larger. This means that the current (I) will also increase. Therefore, this set of changes will not cause the current to stay the same.

D. Keeping voltage constant and increasing resistance:

If we keep the voltage (V) constant and increase the resistance (R), the right-hand side of the equation becomes smaller. This means that the current (I) will decrease. Therefore, this set of changes is most likely to cause the current in an electrical circuit to stay the same.

So, the correct answer is D: keeping voltage constant and increasing resistance.


A box of mass 210 kg is pulled from rest with a string of tension 1300n inclined at 35° to the horizontal. if the box moved with a speed of 10m/s and frictional force between the box and surface is 100 n, calculate the distance covered.

Answers

If A box of mass 210 kg is pulled from rest with a string of tension 1300n inclined at 35° to the horizontal. if the box moved with a speed of 10m/s and the frictional force between the box and surface is 100 n, Then the distance covered by the box is 10.89 meters.

To calculate the distance covered by the box, we need to analyze the forces acting on it and apply the work-energy principle.

Given:

Mass of the box, m = 210 kg

Tension in the string, T = 1300 N

The angle of inclination, θ = 35°

Frictional force, f = 100 N

Initial speed, u = 0 m/s

Final speed, v = 10 m/s

First, let's resolve the tension force into components parallel and perpendicular to the incline. The parallel component of the tension force can be calculated as:

T_parallel = T * cos(θ)

Next, let's calculate the net force acting on the box along the incline. The net force is given by:

Net force = T_parallel - f

Now, using Newton's second law, we can calculate the acceleration (a) of the box:

Net force = m * a

From the given information, we have the final velocity (v), initial velocity (u), and acceleration (a). We can use the following kinematic equation to calculate the distance covered (s):

v^2 = u^2 + 2as

Rearranging the equation, we get:

s = (v^2 - u^2) / (2a)

Now, let's plug in the given values and calculate the distance covered:

T_parallel = 1300 N * cos(35°) ≈ 1067.35 N

Net force = 1067.35 N - 100 N = 967.35 N

a = (967.35 N) / (210 kg) ≈ 4.61 m/s^2

s = (10 m/s)^2 - (0 m/s)^2 / (2 * 4.61 m/s^2) ≈ 10.89 m

Therefore, the distance covered by the box is approximately 10.89 meters.

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2. A train travels a distance of 30 km with a uniform speed of 54 km/h.It travels another distance of 50 km with a uniform speed of 90 km/h.Calculate the average speed of the train.

Answers

The average speed is defined as:

\(v=\frac{d}{t}\)

Then for the first 30 km it took:

\(t=\frac{30}{54}=0.556\)

hours.

The second distance of 50 km took:

\(t=\frac{50}{90}=0.556\)

Therefore the average speed is:

\(v=\frac{30+50}{0.556+0.556}=72\)

72 km/h.

a student measured the length of awire four times using ameter rule and obtained the following reading 18.6,18.5,18.6,18.5 determine the length

Answers

The student measured the length of a wire four times and the total length from the reading is 18.55 m.

From the given,

The length of the wire measured by the student using a meter rule is :

l₁ = 18.6 m

l₂ = 18.5m

l₃ = 18.6m

l₄ = 18.5 m

The total length of the wire is obtained from the average values of length.

Total length (L) = (l₁ + l₂ + l₃ + l₄)/4

                     L  = (18.6 + 18.5 + 18.6 + 18.5) / 4

                         = 74.2 /4

                         = 18.55

Hence, the actual length of the wire = 18.6 m.

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Freddie plays his Xbox for an hour. It transfers 7200 joules of energy in that time. What is the power of the Xbox?

Answers

Answer:

P = 2 Watts

Explanation:

Given that,

Energy transferred, E = 7200 J

Time, t = 1 hour = 3600 s

We need to find the power of the box. Power is equal to energy transferred per unit time.

\(P=\dfrac{E}{t}\)

Substituting the values,

\(P=\dfrac{7200\ J}{3600\ s}\\\\P=2\ W\)

So, the power of the box is 2 W.

Which term defines the distance from crest to crest

Answers

Answer:

The horizontal distance between two adjacent crests or troughs is known as the wavelength.

Answer: Wavelength

Explanation:

From crest to crest, it is one full wavelength

9. Which of these tissues hold bones together at movable joints? O ligaments O cartilage O tendons O disks​

Answers

Answer:

The tissue that holds bones together at movable joints is ligaments. Ligaments are strong, fibrous connective tissues that connect bones to other bones, providing stability and limiting excessive movement at the joints. They help to maintain the proper alignment and function of the joints while allowing for controlled movement.

Explanation:

The tissue that holds bones together at movable joints is ligaments. Ligaments are strong, fibrous connective tissues that connect bones to other bones, providing stability and limiting excessive movement at the joints. They help to maintain the proper alignment and function of the joints while allowing for controlled movement.

Answer:

The answer is ligaments!

Explanation:

Hope this helps!! :)

Which of the following statements best describes the situation in
which the "constant-acceleration model" appears to fail to describe
the motion of an object (say, a leaf falling from a tree).
In practice, no object's motion is actually very close to the constant acceleration model.
DIf the conditions required for the constant-acceleration model are not present, then the model
may not describe the motion very well.
Any difference between the observed motion and the motion predicted by the constant-
acceleration model must be the result of measurement error.

Answers

We want to see which statements describe the siutuations where "constant-acceleration motion" fails.

We will see that the correct option is the first one.

"In practice, no object's motion is actually very close to the constant acceleration model."

We need to analyze each statement.

1) In practice, no object's motion is actually very close to the constant acceleration model.

This is true, for example, if we return to the leaf example, we usually would say something that "a falling object is only affected due to gravitational acceleration" and we assume that the acceleration is constant, but this is actually false, as there are a lot of other forces like friction or air resistance that also contribute. These forces also depend on the shape of the falling object and the velocity at which it falls, so the contributions to the acceleration are not constants, thus the acceleration is not constant.

2) the conditions required for the constant-acceleration model are not present, then the model  may not describe the motion very well.

The conditions are not stated and depend on the particular situation, so this does not fit really well.

3) Any difference between the observed motion and the motion predicted by the constant- acceleration model must be the result of measurement error.

This is false, while yes, obviously, if you have a measurement error the predictions will be wrong, but even in the case where your measures are flawless, the constant-acceleration model ignores some things that contribute to the motion (are kinda small contributions, this is why we ignore them) so a lot of differences will be due to these contributions that we are ignoring.

So the correct statement is the first one.

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Based on the diagram, what is the difference in how economic decisions are made in a mixed economy and a market economy? E.1.2
How Economic Decisions are Made
By the Government,
command
economy
By the Consumers
mixed
economy
market.
economy
O Consumers make all economic decisions in a mixed economy, while the government makes all economic decisions in a market economy.
Government and consumers make economic decisions in a mixed economy, while consumers make economic decisions in a market economy.
Government makes all economic decisions in a mixed economy, while consumers make all economic decisions in a market economy.
O Consumers make economic decisions in a mixed economy, while consumers and government make economic decisions in a market economy.

Answers

Based on the diagram, the correct statement is: Government and consumers make economic decisions in a mixed economy, while consumers make economic decisions in a market economy.

How do we explain?

In a mixed economy, economic decisions are made by both the government and consumers.

The government plays a significant role in regulating and influencing economic activities through policies, regulations, and interventions.

In market economy, economic decisions are primarily made by consumers. The market forces of supply and demand dictate the allocation of resources, production levels, and pricing.

The freedom to buy and sell whatever they choose is what ultimately determines how commodities and services are produced and distributed.

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Based on the diagram, what is the difference in how economic decisions are made in a mixed economy and

A parallel beam of light containing two wavelengths 1, and i, equal to 465 nm and 652-nm respectively enters an equilateral glass prism at angle of incidence i. What is the emergent angle for each wavelength?​

Answers

The emergent angle of the first wavelength is 25.53⁰.

The emergent angle of the second wavelength is 26⁰.

The angle each beam leave the the prism is calculated using Snell's law as follows;

\(n_1 si n\theta _1 = n_2 sin\theta_2\)

The emergent angle of the first wavelength is calculated as follows;

\(sin(45) = 1.64sin\theta_1\\\\sin\theta _1 = \frac{sin(45)}{1.64} \\\\sin\theta _1 = 0.431\\\\\theta_1 = sin^{-1} ( 0.431)\\\\\theta_1 =25.53 ^0\)

The emergent angle of the second wavelength is calculated as follows;

\(sin(45) = n_2 sin(\theta_2)\\\\sin(45) = 1.62 sin(\theta_2)\\\\sin(\theta_2) = \frac{sin(45) }{1.62} \\\\sin(\theta_2) = 26^0\)

"Your question is not complete, it seems be missing the following information";

A parallel beam of light containing two wavelengths, λ1 = 465 nm and λ2 = 652 nm, enters the silicate flint glass of an equilateral prism. At what angles, θ1 and θ2, does each beam leave the prism. Use n455nm = 1.64 and n642nm =1.62. The incident angle is 45⁰.

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I NEED HELP ASAP!!!!!

I NEED HELP ASAP!!!!!

Answers

Answer:

1. S = d/t S = speed D = distance traveled T= time elapsed

Explanation:

i can answer more in a minute sorry!!

1. In order to generate a current from a magnet, which of the following would generate a current?
a. Spinning a magnet near a wire
b. Placing the north end of a magnet near a wire
c. Place the south end of a magnet near a wire

2. In order for a circuit to function, which of the following must be true?
a. The circuit cannot have more than 3 bulbs attached
b. The circuit must have an switch placed in the circuit in the open position
c. The circuit must make a complete loop and must have all parts connected to that loop

Answers

Spinning a magnet near a wire would generate a current.

The circuit must make a complete loop and must have all parts connected to that loop.

What is the spinning magnet?

When a magnet approaches a conductor, such as a wire, the magnetic field changes, causing the wire to conduct electricity. Electromagnetic induction is a process that underlies the operation of electric motors and generators.

Electromagnetic induction and is the basis for how generators and electric motors work and it explains the fact that current is generated by a spinning a magnet near a wire.

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Find the torque t due to the spring. Assume that theta is small enough that the spring remains effectively horizontal and you can approximate sin(theta) = theta and cos(theta) =1.

Express the torque as a function of theta and other parameters of the problem. In this context, the torque will be a 1D vector; therefore, your equation must correctly express the relationship between the direction of torque and the direction of ant other 1D vectors within your equation.
Hints:

Deflecting the rod will stretch or compress the spring by a length L. The spring will react with a restoring force given by Hooke's law: F=-kL. What is L? Remember that the angle theta is assumed to be so small that sin(theta) = theta. express in terms of L and theta.

The torque τ about a point is defined as the product of the force F acting on a body times the moment arm (perpendicular distance d from the line of action of the force to the center point): T = Fd. What is d for the given situation? Remember that the angle θ is assumed to be so small that cos(θ)≈1.

Answers

Therefore, the frequency of oscillation when the spring is connected 1/5 of the way from the pivot to the end of the rod is approximately 1.34 Hz.

How to solve

Since the rod is thin and uniform, its moment of inertia about the pivot point can be approximated as:

I = (1/3)ML^2

When the spring is connected 1/5 of the way from the pivot to the end of the rod, the effective length of the rod becomes:

l_eff = l/5 + (4/5)(l/2) = 9l/10

So, the frequency of oscillation is: 8.42 rad (after calculations)

The frequency of oscillation when the spring is connected 1/5 of the way from the pivot to the end of the rod is approximately 1.34 Hz.


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A team at a university in Pennsylvania has concerns about the health of streams in a watershed because of the various land uses in the area. There has been an increase in road repair work, and the area has many dairy farms. Which of the following would be most effective at preventing sediment runoff into the streams of the watershed? *
a) Have construction crews steepen the slopes of the valleys of streams near roadwork zones.
b) Maintain zones of grass at least wide on the sides of streams in the area.
c) Construct at least one dam on a stream in the watershed to improve flood control.
d) Shift from dairy farming to corn planted in agricultural fields located within of streams.

Answers

The ecological methods allows to find the correct answer to the question of how to prevent river pollution is:

   b)  Maintain zones of grass at least wide on the sides of streams in the area.

Stream pollution from human activities can occur in a number of ways:

The rubble boat in the river. The dragging of products from the bargains, fertilizers by the rains.   Dragging of land by rain and machinery.

Let's analyze the different claims.

a) False. It is too expensive and the slopes cannot be changed due to possible flooding problems.

b) True. Maintaining a protective zone with grass on the sides of the rivers, prevents the waste of the frarmer from reaching the river, and the problems of the debris reaching the river bank. This un  ecological methods.

c) False. The dam controls flooding but does not eliminate the problems of river pollution.

d) False. Many lands are not acts for agriculture, but for livestock.

In conclusion we can find the correct answer to the question of how to prevent river pollution is:

   b) Maintain zones of grass at least wide on the sides of streams in the area.

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37 microgram to Gigagram​

Answers

3.7e-1437 Gigagram

BRAINILIEST PLEASE

SHOW WORK.
What is the acceleration of the object
whose motion is described by the graph
above?
-0.0 m/s^2
-9.0 m/s^2
-4.5 m/s^2
-4.0 m/s^2

SHOW WORK.What is the acceleration of the objectwhose motion is described by the graphabove?-0.0 m/s^2-9.0

Answers

Acceleration is the rate of change of velocity, so if velocity is linear, the acceleration is the slope of its graph.

Here, the line passes through the points (0, 1) and (0.5, 3), so its slope is

(3 m/s - 1 m/s) / (0.5 s - 0 s) = (2 m/s) / (0.5 s) = 4 m/s²

i have a final on work, power, and energy for my ap physics 1 tomorrow and i have no idea what’s going on

Answers

Answer:

Study! Review textbooks when needed. Check your notes and with the teacher and admit to you your conflicts because how are they going to help you then? Go online and find some videos or guides, etc. Time is running out, so I would just suggest playing sick as a last case scenario if you don't want to take my advice.

Explanation:

Good luck on the final. I know how grueling physics can be.

A particle with charge q and mass m moving with speed v in the x direction enters a magnetic field of strength B pointing in the y direction. The magnitude of the acceleration of the particle as it travels one semicircle is

Answers

Answer:

The acceleration of the particle as it travels one semicircle is

\(a= \frac{\pi R}{t^2}\)

Explanation:'

Kindly see attached a sketch of a semi-circle

Step one:

given data

velocity =v

let the time taken be t

The path PQM is the distance covered

so distance \(d= \pi R\)

we know that time= distance/velocity

t= πR/v

step two:

velocity =distance/time

\(velocity=\frac{\pi R}{t}\)

also, we know that acceleration is velocity/time

\(a= \frac{\pi R}{\frac{t}{t} }\)

\(a= \frac{\pi R}{t}*\frac{1}{t}\)

\(a= \frac{\pi R}{t^2}\)

A particle with charge q and mass m moving with speed v in the x direction enters a magnetic field of

What is the magnitude of the resultant vector? Round your answer to the nearest tenth. m

Answers

The magnitude of the resultant vector to round the answer to the nearest tenth, we look at the digit in the hundredth's place. If this digit is 5 or greater, we round up. If it is less than 5, we round down.

In the study of physics, we use vectors to represent quantities that have both direction and magnitude. It is often the case that we want to add two or more vectors together to obtain a single vector that represents the net result of these additions. The process of adding two or more vectors together is known as vector addition.The magnitude of the resultant vector is the length of the line that represents it on a scale drawing.

When we add two or more vectors together, the resultant vector is the vector that represents the net result of these additions. To find the magnitude of the resultant vector, we use the Pythagorean theorem, which states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.

In the case of vector addition, the hypotenuse is the resultant vector, and the other two sides are the component vectors. If we have two vectors a and b, the magnitude of the resultant vector is given by the following equation:|R| = √(ax2 + bx2)where R is the resultant vector, a and b are the component vectors, and x is the angle between the vectors.

For example, if the answer is 12.345, we would round it to 12.3.

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A roller coaster does a loop de loop at 35 m/s, with a radius of 32 meters. What is the
acceleration?

Answers

Answer:

The answer to the question is:

\(38.28 m {s}^{ - 2} \)

The acceleration of the roller coaster is 38.28 m/s.

What is centripetal acceleration?

Centripetal acceleration is a characteristic of an object's motion along a circular path. Centripetal acceleration applies to any item travelling in a circle with an acceleration vector pointing in the direction of the circle's center.

Given that: the speed of the  roller coaster: v = 35 m/s.

Radius of the loop: r = 32 meter.

Centripetal acceleration of the roller coaster = speed²/radius

= (35×35)/32 m/s²

= 38.28 m/s².

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In machines with low efficiency, most of the lost energy is turned into?

a. Light
b. Sound
c. Power
d. Heat

Answers

Answer:

Option (C)

Explanation:

All electric machines are not ideal, therefore they have some losses due to which efficiency being less than 100%.

The cubit is an ancient unit. Its length equals six palms. (A palm varies from 2.5 to 3.5 inches depending on the individual.) We are told Noah's ark was 300 cubits long, 50 cubits wide, and 30 cubits high. Estimate the volume of the ark (in cubic feet). Assume the ark has a shoe-box shape and that 1 palm = 3.50 inch.

Answers

The volume of the ark is 11163 cubic feet.

What is the volume of Noah's ark?

The term volume of a box refers to the product of the length, width and height of the box. We have been told that the ark of Noah could be likened to a box and we have been asked to obtain its volume.

Hence;

width = 3.5  * 50 = 175 inches or 14.58 feet

length = 300 * 3.5 = 1050 inches or 87.5 feet

height = 30  * 3.5 = 105 inches or 8.75 feet

Volume of the ark = 14.58 feet * 87.5 feet *  8.75 feet

Volume of the ark = 11163 cubic feet

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I want for more information for these subject ,EXITONS AND BIEXITONS IN SEMICONDUCTOR QUANTUM DOLLS, I have to write a project about EXITONS AND BIEXITONS IN SEMICONDUCTOR QUANTUM DOLLS.

Answers

The study of excitons and biexcitons in semiconductor quantum dots is a fascinating and rapidly evolving field in semiconductor physics. Excitons are bound states of an electron and a hole created by the absorption of a photon in a semiconductor material. These quasi-particles exhibit unique optical and electronic properties, making them important for various applications such as optoelectronic devices and quantum information processing.

1. Introduction:

  - Provide an overview of excitons and biexcitons in semiconductor quantum dots.

  - Mention their significance in semiconductor physics and applications.

2. Excitons:

  - Define excitons as bound electron-hole pairs.

  - Explain how they form through photon absorption.

  - Discuss their properties, such as energy levels, binding energies, and radiative lifetimes.

  - Describe their behavior under external electric and magnetic fields.

3. Semiconductor Quantum Dots:

  - Introduce semiconductor quantum dots as nanoscale structures with unique quantum confinement effects.

  - Explain the synthesis methods for quantum dots, such as colloidal synthesis or epitaxial growth.

  - Discuss their size-dependent electronic and optical properties.

4. Biexcitons:

  - Define biexcitons as two excitons bound together.

  - Explain the conditions for biexciton formation.

  - Discuss their properties, including binding energies, lifetimes, and interaction with external fields.

5. Experimental Techniques:

  - Describe the experimental methods used to study excitons and biexcitons in semiconductor quantum dots, such as photoluminescence spectroscopy or ultrafast spectroscopy.

  - Highlight the importance of time-resolved techniques for understanding exciton dynamics.

6. Applications:

  - Discuss the applications of excitons and biexcitons in semiconductor quantum dots, such as in optoelectronic devices (e.g., solar cells, light-emitting diodes) and quantum information processing (e.g., quantum dots as qubits).

7. Current Research and Future Directions:

  - Provide an overview of recent advancements in the field.

  - Mention ongoing research efforts and emerging areas of interest.

  - Discuss potential future directions and challenges in the study of excitons and biexcitons in semiconductor quantum dots.

8. Conclusion:

  - Summarize the key points discussed in the project.

  - Emphasize the significance of excitons and biexcitons in semiconductor quantum dots for fundamental research and technological applications.

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answer the question in the picture

answer the question in the picture

Answers

The option that represents what the magnetic field look like above the North pole is an arrow that decreases as we go up and points up (E)

How to explain the information

The magnetic field lines of a magnet point away from the north pole and towards the south pole. The field lines are strongest at the poles and weaken as you move away from the poles.

So, the arrow that represents the magnetic field above the north pole will be pointing up, but it will become smaller and smaller as you go up.

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can lamp that works on a 2.5 v work on a 1.12 v ?​

Answers

Answer:

Explanation:

Thinking about the logics it can but it may be dim because 1.12 is lower than 2,5v so this will mean u lamp may not work or may work very dimely due to the low voltage it is receiving.

Help with Physical Science question?

Help with Physical Science question?

Answers

Answer: The answer is a because that's where it would be after it bounced

an effort force 40n is applied to a screwdriver to pry the lid off of a can of pain. the screwdriver applies 100n of force to the lid. what is the MA of the screwdriver?

Answers

Answer:

MA = 2.5

Explanation:

Given that,

Effort force applied to a screwdriver to pry the lid off of a can= 40 N

The screwdriver applies 100n of force to the lid = 100 N

We need to find the mechanical advantage of the screwdriver. Mechanical advantage of a machine is given by the ratio of load to the effort.

m = load/effort

= 100/40

= 2.5

Hence, the MA of the screwdriver is 2.5

.A glass bottle has a volume of 10 cm³ at 10°C. Calculate its volume when it is heated to 30°C. [Linear expansivity 9.0x10 k ¹]​

Answers

The final volume of the glass bottle when heated to 30°C is 10.0018 cm³.

What is the final volume of the glass bottle?

The final volume of the glass bottle is calculated by applying the formula for volume expansivity as follows;

ΔV = V₀αΔT

Where

ΔV is the change in volume of the bottleV₀ is the initial volume of the bottleα is the linear expansivityΔT is the change in temperature

The change in temperature is calculated as;

ΔT = 30°C - 10°C = 20°C

The change in volume of the bottle;

ΔV = 10 cm³ x (9 x 10⁻⁶) x 20°C

ΔV =  1.8 x 10⁻³ cm³

The final volume of the bottle is calculated as follows;

V₂ = V₁ + ΔV

V₂ = 10 cm³ +  1.8 x 10⁻³ cm³

V₂ = 10.0018 cm³

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