A hanging 7.5 kg object stretches a spring 1.1 m, the spring constant of the spring is approximately 66.82 N/m.
Hooke's Law, which states that the force exerted by a spring is directly proportional to the displacement of the spring from its equilibrium position, can be used to compute the spring constant.
F = -k * x
Here, we have:
mass (m) = 7.5 kg,
displacement (x) = 1.1 m,
acceleration due to gravity (g) = 9.8 m/\(s^2\).
We know that:
weight (W) = mass * acceleration due to gravity
So,
W = m * g
W = 7.5 kg * 9.8 m/\(s^2\)
W = 73.5 N
F = W = 73.5 N
F = -k * x
73.5 N = -k * 1.1 m
Solving for k:
k = -73.5 N / 1.1 m
k ≈ 66.82 N/m
Thus, the spring constant of the spring is approximately 66.82 N/m.
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A 31.7 kg kid initially at rest slides down a frictionless water slide at 53.2 degrees, how fast is she moving in 3.45 s later?
Answer:
34.55 m/s
Explanation:
What the suns mass in scientific notation????
Explanation:
In scientific notation the Sun's mass is: =1.989 x 10 ^30 kg
Answer:
I think in scientific notation the Sun's mass becomes: M Sun = 1.989 x 10 30 kg. The number above the ten, called the power of ten or exponent, stands for the number of decimal places. If it is positive, as in the mass of the Sun, the decimal places are in front of the decimal point.
I hope this help you!:)
In 1453, during the siege of Constantinople, the Turks used a cannon capable of launching a stone cannonball with a mass of 5. 40 ⋅ 102 kg. Suppose a soldier dropped a cannonball with this mass while trying to load it into the cannon. The cannonball rolled down a hill that made an angle of 30. 0° with the horizontal. If 5. 30 ⋅ 104 J of work was done by gravity on the cannonball as it rolled down a hill, how far did it roll?
The cannonball down a hill that was at a 30-degree inclination to the horizontal. The projectile travelled 20 metres if gravity exerted 5.30 104 J of force on it as it descended a slope.
Do cannonballs adhere to the same projectile motion laws?Because of this, it adheres to the same projectile motion principles, and comprehending projectile physics will help you comprehend cannon physics.
How do you figure out a cannon's launch velocity?The speed of the recoiling cannon is determined after the cannonball is shot on a horizontal trajectory, and the cannonball's initial velocity is calculated by multiplying the cannon's speed by the ratio of the two weights, or the cannon over the cannonball.
Briefing:Mass of cannonball = 5.40 * 10² Kg
Angle of inclination of hill = 30°
Work done = 5.30 *10⁴ J
Distance travelled by the cannonball (s) =?
During motion on an inclined plane:
a = gsinθ = constant
∴ Force(F) = ma = mgsinθ
Now, Work done (W) = ∫F.ds = mgsinθ.s
5.30 *10⁴ = 5.40 × 10² *9.8*sin30° .s
s= 20 m
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4
(a) Which arrow shows the amplitude of the wave?
(1 mark)
Answer:
hmmm, where is the image?
but still let me tell you
Explanation:
amplitude of a wave is the maximum displacement of a particle from its rest position
so the arrow should be from the middle of the wave to the top of the crest or to the bottom trough,
from the middle
okay?
hope this helps, but be sure to add the image next time
The following are steps involved in transmission at the cholinergic synapse:
1. Chemically gated ion channels on the postsynaptic membrane are opened.
2. Calcium ions enter the axon terminal.
3. An action potential depolarizes the axon terminal at the presynaptic membrane.
4. Acetylcholine is released from storage vesicles by exocytosis.
5. Acetylcholine binds to receptors on the postsynaptic membrane
Answer:
3. Step 1; An action potential depolarizes the axon terminal at the presynaptic membrane
2. Step 2; Calcium ions enter the axon terminal
4. Step 3; Acetylcholine is released from storage vesicles by exocytosis
5. Step 4; Acetylcholine binds to receptors on the postsynaptic membrane
1. Step 5; Chemically gated ion channels on the postsynaptic membrane are opened
Explanation:
3. The cholinergic synapse starts at the point of arrival of an electrochemical impulse or action potentials at the synaptic knob of the axon terminal of a presynaptic neuron membrane
2. The arrival of the action potential at the axon terminal causes the calcium ion Ca²⁺ channels to open and Ca²⁺ enters into the synaptic knob, resulting in the fusion of the presynaptic membrane and synaptic vesicles
4. The fusion enables the release into the synaptic cleft of many acetylcholine (ACh) transmitter molecules by exocytosis
5. Some of the ACh are transported across the synaptic cleft and bind to postsynaptic neuron membrane embedded ACh receptors
1. The binding of the ACh neurotransmitter molecules to receptors on the membrane of the dendrites of a neuron it leads to the opening of ion channels
Select the correct answer. What step can an organization take to improve its culture? A. conduct regular development programs for employees B. employ people belonging to a certain age group only C. keep its number of employees to a minimum D. employ people with similar financial backgrounds
Answer:
A
Explanation:
you can keep all current employees and improve culture
how to calculate the mass of a body whose weight is 200 N
Answer:
20.4081633 kilograms.
Explanation:
To find an object's mass using its weight, the formula is Mass equals Weight divided by the Acceleration of Gravity (M = W ÷ G). Convert the weight measured in pounds to the equivalent in Newtons.
Divide the weight in Newtons by the acceleration of gravity to determine the mass of an object measured in Kilograms. On Earth, gravity accelerates at 9.8 meters per second squared (9.8 m/s2). For example, to determine the mass of an object weighing 667 Newtons, calculate as follows:
200 Newtons ÷ 9.8 m/s2 = 20.4081633 kilograms.
Fuses protect electrical devices by opening a circuit if the current in the circuit is too high. Would a fuse work successfully if it were connected in parallel with the device that it is supposed to protect
A fuse is placed in parallel with the device it is supposed to protect will not work successfully.
Meaning of a fuse and how it worksA fuse is an electrical and electronics device that protects a system from excess current. it breaks to deter the flow of current into a device.
The work of a fuse is important to every electrical circuit and device.
A fuse is always in series with the device its to protect, so it can easily break of and by so doing current will not flow to the device again.
In conclusion if a fuse is placed in parallel with the device it is supposed to protect, it will not work successfully.
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Find the Fourier transform of the signal x(t) = e ^(-|a| t) , a
> 0
The Fourier transform of the signal x(t) = e^(-|a|t), where a > 0, is X(ω) = 2a / (a^2 + ω^2).
The Fourier transform is a mathematical tool used to represent a function in the frequency domain.
To find the Fourier transform of x(t) = e^(-|a|t), we need to evaluate the integral of the function multiplied by a complex exponential term e^(-jωt), where j is the imaginary unit and ω represents the angular frequency.
Applying the Fourier transform formula, we obtain:
X(ω) = ∫[e^(-|a|t) * e^(-jωt)] dt
To solve this integral, we can separate it into two cases based on the sign of a: positive and negative.
For a > 0, we have:
X(ω) = ∫[e^(-at) * e^(-jωt)] dt
Using the properties of exponential functions, we can simplify this expression as:
X(ω) = ∫e^(-(a+jω)t) dt = 1 / (a + jω)
To express X(ω) in a more convenient form, we multiply the numerator and denominator by the conjugate of the denominator:
X(ω) = (a - jω) / [(a + jω)(a - jω)]
= (a - jω) / (a^2 + ω^2)
Simplifying further, we get:
X(ω) = 2a / (a^2 + ω^2)
Therefore, the Fourier transform of x(t) = e^(-|a|t), where a > 0, is X(ω) = 2a / (a^2 + ω^2).
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. Reem took a wire of length 10 cm. Her friend Nain took a wire of 5 cm of the same material and thickness both of them connected with wires as shown in the circuit given in figure. The current flowing in both the circuits is the same. (a) Will the heat produced in both the cases be equal? Explain.
Given :
Reem took a wire of length 10 cm. Her friend Nain took a wire of 5 cm of the same material and thickness both of them connected with wires as shown in the circuit given in figure. The current flowing in both the circuits is the same.
To Find :
Will the heat produced in both the cases be equal.
Solution :
Heat released is given by :
H = i²Rt
Here, R is resistance and is given by :
\(R = \dfrac{\rho L}{A}\)
So,
\(H = i^2\times \dfrac{\rho L}{A} t\\\\H = \dfrac{i^2\rho Lt}{A}\)
Now, in the question every thing is constant except for the length of the wire and from above equation heat is directly proportional to the length of the wire.
So, heat produced by Reem's wire is more than Nain one.
Hence, this is the required solution.
give an example of how the law of inertia is demonstrated (a) for moving objects and (b) for objects at rest
Answer:
Both
Explanation:
Both of them are part of newtons laws of motion
Question 2 of 10
Which phrase describes velocity?
O A. A quantity with direction only
O B. A quantity with no units
C. A quantity with magnitude only
O D. A quantity with magnitude and direction
Answer:
D.
Hope this is right!
Explanation:
(10) A car is stopped for a traffic signal. When the light turns green, the car accelerates, increasing its speed from 0 to 6. 00 m/s in 0. 774 s. (a) What is the magnitude of the linear impulse experienced by a 70. 2 kg passenger in the car during this time? Submit Answer Tries 0/10 (b) What is the average force experienced by the passenger? 5. 44x102 N You are correct. Previous Tries Your receipt no, is 155-4422
The magnitude of the linear impulse experienced by the passenger during this time is 421.2 kg·m/s and the average force experienced by the passenger is approximately 5.44 × 10^2 N.
(a) To calculate the magnitude of the linear impulse experienced by the passenger, we can use the equation:
Impulse = mass × change in velocity
Given:
Mass of the passenger (m) = 70.2 kg
Change in velocity (Δv) = 6.00 m/s - 0 m/s = 6.00 m/s
Substituting the values into the equation, we get:
Impulse = 70.2 kg × 6.00 m/s = 421.2 kg·m/s
Therefore, the magnitude of the linear impulse experienced by the passenger during this time is 421.2 kg·m/s.
(b) To find the average force experienced by the passenger, we can use the equation:
Average force = Impulse ÷ time
Given:
Impulse (I) = 421.2 kg·m/s
Time (t) = 0.774 s
Substituting the values into the equation, we get:
Average force = 421.2 kg·m/s ÷ 0.774 s = 544.0 N (rounded to three significant figures)
Therefore, the average force experienced by the passenger is approximately 5.44 × 10^2 N.
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Enculturation begins with the development of self-awareness, which may be defined as ____.A) the ability to assume rolesB) the ability to identify oneself as an object, to react to oneself, and to appraise oneselfC) the process by which the self adapts to a particular environmentD) the process by which an individual identifies right and wrongE) the belief that one has lived a previous life
The emergence of self-awareness marks the beginning of enculturation, a process in which a person begins to see himself as objects, respond to and evaluate them. Hence option B is correct.
Enculturation is a process that starts with the realization of the growth of the self awareness concepts which means the capacity to identify the things that are goof for a person. As a result, choice B is the right response. Socialization, not self-awareness, is correlated with the capacity to take roles (option A).
Acculturation, not self-awareness, is the process by which the self adapts to a particular environment (option C). Morality and ethics, not self-awareness, are related to knowing what is good and wrong (option D). The idea of reincarnation, which is unrelated to the growth of self-awareness, is related to the idea that one has lived before (option E).
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An ideal spring with a spring constant of 200 N/m is compressed 15 cm. A 300 g block is placed in front of the spring and the spring is released so that the block is launched to the right as shown. The initial height of the spring and block above the ground is 1.0 m. The height of the end of the ramp is 1.5 m above the ground. (Ignore friction)
a) At what speed does the block leave the spring?
b) How fast is the block moving when it first becomes airborne?
c) How fast is the block moving when it hits the ground?
d) What is the largest mass of the block that will still allow it to reach the ground? (Find where it just barely gets over the top of the ramp)
(a) The speed of the block when it leaves the spring is 3.87 m/s.
(b) The speed of the block the moment it first become airborne is 2.28 m/s.
(c) The speed of the block when it hits the ground is 5.88 m/s.
(d) The largest mass of the block that will still allow it to reach the ground is 459.3 g.
What is the speed of the block when it leaves the spring?
The speed of the block when it leaves the spring is calculated by applying the principle of conservation of energy.
¹/₂mv² = ¹/₂kx²
mv² = kx²
v² = kx²/m
v = √(kx²/m)
where;
k is the spring constantx is the extension of the springm is the mass of the blockv = √(200 x 0.15²/0.3)
v = 3.87 m/s
The moment the block moves upwards, gravity will set in. The speed of the block the moment it first become airborne is calculated as follows;
v² = u² - 2gh
where;
v is the speed of the block when it first become airborneu is the initial velocity of the block = 3.87 m/sh is the height above the ground = 1.5 m - 1 m = 0.5 mv² = 3.87² - 2(9.8 x 0.5)
v² = 5.18
v = √5.18
v = 2.28 m/s
The speed of the block when it hits the ground is calculated as follows;
v² = u² + 2gh
where;
v is the final speed of the blocku is the initial speed of block when it first become airborne = 2.28 m/sh is the height of fall of the block = 1.5 mv² = 2.28² + 2(9.8)(1.5)
v² = 34.598
v = √34.598
v = 5.88 m/s
The maximum potential energy of the spring is calculated as;
U(max) = ¹/₂kx²
U(max) = ¹/₂ x 200 x 0.15²
U(max) = 2.25 J
The minimum speed required to cross the 1.5 m of the ramp from a height of 1 m.
height difference, Δh = 1.5 m - 1 m = 0.5 mv = √2gΔh
v = √(2 x 9.8 x 0.5)
v = 3.13 m/s
Apply the principle of conservation of energy and determine the largest mass required to cross the 1.5 m ramp from a height of 1 m.
¹/₂mv² = U(max)
m = 2U/v²
m = (2 x 2.25) / (3.13²)
m = 0.4593 kg
m = 459.3 g
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The radius of a circle is increasing at a constant rate of 0. 4 meters per second.
The radius of a circle is increasing at constant rate of 0.4 meters per second The rate of increase in the area of the circle at the instant when the circumference of the circle is 60π m is 24 π sec. The correct answer is B.
A circle's radius grows at a constant rate of 0.2 m/sec.
The circle's immediate circumference is m.
We are aware of what the circle's area is.
A =π r²
Compare equation with regard to time t.
dA/dt = 2π r dr/dt
while dr/ dt = 0. 2m/ sec
so
dA/dt = 0.8 π r
The circle's circumference is also known to be,
C= 2π r
60π = 2π r
r = 30
Now put the value r in equation
dA/dt = 0.8 π r
dA/dt = 0.8 π 30
dA/dt = 24 π
Your question is incomplete but most probably your full question was
The radius of a circle is increasing at constant rate of 0.4 meters per second What is the rate of increase in the area of the circle at the instant when the circumference is 60π ? m"
(A) 0.24 π sec (B) 24 π sec (C) 247π sec (D) 30π sec (e)240π sec
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Structures can fail due to errors in design or errors in materials. Give an example of each of the two reasons for structural failure, and explain your responses.
Answer:
hmmm
Explanation:
error of parallax or poor measurement
poor structural material
A sports car has a mass of 1,460kg and accelerates at 2.04 meters per second squared. What is the magnitude of the force acting on the sports car?
Answer:
The answer is 2978.4 NExplanation:
The force acting on an object given it's mass and acceleration can be found by using the formula
force = mass × accelerationFrom the question
mass = 1,460kg
acceleration = 2.04 m/s²
We have
force = 1460 × 2.04
We have the final answer as
2978.4 NHope this helps you
which of the following statements about forces is false? group of answer choices forces change the momentum of a body forces always occur in equal and opposite pairs where there is no force, objects continue to move the way they were moving there are places on earth where all forces are absent forces cause an acceleration to take place
The statement that is false is "there are places on earth where all forces are absent." Forces, such as gravity, are always present on Earth.
All the given statements are true except the statement "there are places on earth where all forces are absent." is false.
Forces change the momentum of a body,forces always occur in equal and opposite pairs (Newton's third law), where there is no force, objects continue to move the way they were moving, and forces cause an acceleration to take place are all true statements about forces.
Newton's third law simply states that there is an equal and opposite reaction to every action. So, if object A exerts a force on object B, object B will exert an equal but opposite force on object A.
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What type of Sophies figures define the Political boundary between Romania and Slovakia boundary between Switzerland and Germany
Sophie is also quite self-centered. Alberto teaches her, but she thinks for herself. She had harsh words for him, her mother, and her friend Joanna. Sophie acts with conviction and thinks things through before doing them, making it tough to criticise her.
Romania has a state boundary with the Republic of Moldova in the north-east, Ukraine in the north, Hungary in the north-west, Serbia in the south-west, and Bulgaria in the south, with a total length of 3,149.9 km and an additional 193.5 km of sea border.
Europe is a peninsula of the Eurasian supercontinent, bounded to the north by the Arctic Ocean, to the west by the Atlantic Ocean, and to the south by the Mediterranean, Black, and Caspian Seas.
Denmark borders Germany on the Jutland peninsula in the north. The Baltic Sea (Ostsee) and North Sea coastlines, respectively, complete the peninsula's northern boundary. Germany borders the Netherlands, Belgium, and Luxembourg to the west, and France to the southwest.
Switzerland is surrounded by France to the west, Germany to the north, Austria and Liechtenstein to the east, and Italy to the south.
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PLEASE ANSWER BOTH QUICK!! 50 POINTS!!! PLEASE DON'T IGNORE!!
Answer:
A. B. Pls Give Branliest
Explanation:
Answer:
My answer got deleted.. all my brainliests too
Explanation:
A for the first, B for second.
if the box travels a total distance d along the ramp, then what is the coefficient of kinetic friction between the ramp and the box? express your answer in terms of the variables given in the problem
In conclusion, the coefficient of kinetic friction between the ramp and the box, expressed in terms of the variables given in the problem, is (1/2 × v²) / (d × g).
The coefficient of kinetic friction between the ramp and the box can be determined using the following steps:
1. First, let's identify the variables given in the problem. We are given the total distance traveled by the box along the ramp, which is denoted as "d".
2. Next, we need to understand the relationship between the distance traveled and the coefficient of kinetic friction.
When an object slides along a surface, the work done against friction is equal to the force of friction multiplied by the distance traveled. In this case, the work done against friction is equal to the change in kinetic energy of the box.
3. The work done against friction can be expressed as: Work = Force × Distance. In this case, the force is the force of kinetic friction, and the distance is the total distance traveled by the box, denoted as "d".
Therefore, the equation becomes: Work = Force of friction × d.
4. The change in kinetic energy of the box can be expressed as: ΔKE = 1/2 × m × v², where m is the mass of the box and v is its final velocity.
5. Since the box is sliding along the ramp, the work done against friction is equal to the change in kinetic energy of the box. Therefore, we can equate the two equations:
Force of friction × d = 1/2 × m × v².
6. We can rearrange the equation to solve for the force of friction:
Force of friction = (1/2 × m × v²) / d.
7. The force of friction can be further expressed as:
Force of friction = μ × m × g, where μ is the coefficient of kinetic friction and g is the acceleration due to gravity.
8. Substituting this expression into the equation from step 6, we get:
μ × m × g = (1/2 × m × v²) / d.
9. Simplifying the equation, we find:
μ = (1/2 × v²) / (d × g).
10. Therefore, the coefficient of kinetic friction between the ramp and the box can be expressed as:
μ = (1/2 × v²) / (d × g).
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14
A measure of the gravitational force exerted on an object?
A Weight
B) Force
C)Air resistance
Answer:
C
Explanation:
Answer:
A) weight
Explanation:
Hope it helps :))
A potato gun is fired horizontally from a height of 1.5 meters with the potato launched at 25 m/s.
Answer:
I don't have the full question but here
(a)
Set the height equal to gt2/2 and solve for t.
h = gt2/2
t = √(2h/g)
h = 1.5 m
g = 9.8 m/s2
Plug in the numbers and get t in seconds.
(b)
x = vxt
vx = 25 m/s
t = result from part (a)
Plug in the numbers and get x in meters.
Which element is a metalloid? selenium (Se) polonium (Po) phosphorus (P) iodine (I)
Answer:
Polonium(Po)
Explanation:
Answer:
B. polonium (Po)
Explanation:
i took the test
voltmeter is connected in parallel with loads why?
Answer:A Voltmeter has very high resistance to ensure that it's connection do not alter flow of current in the circuit. Now if it is connected in series then no current will be there in the circuit due to it's high resistance. Hence it is connected in parallel to the load across which potential difference is to be measured.
Explanation:
Match the labels: 1. forces 2.magnetic fields 3.electric fields 4.gravitational fields
A hiker moves across a mountain meadow that is 3 km wide in 40 minutes. What was her average velocity
Answer:
1.25m/s
Explanation:
Velocity is defined as the change of displacement with respect to time. Mathematically, velocity = displacement/time
Given displacement = 3km and time = 40minutes
Converting km to meters and minuetes to seconds;
Since 1 km = 1000m
3 km = (3*1000)m
3 km = 3000m
Also 1minute = 60seconds
40 minutes = 60*40 = 2400seconds
velocity = displacement/time
Velocity (in m/s) = 3000/2400
Velocity (in m/s) = 30/24
Velocity (in m/s) = 5/4
Velocity (in m/s) = 1.25m/s
Hence, the average velocity of he hiker is 1.25m/s
derive an expression for resistivity of conductor of length l and area of cross section A
Answer
Resistivity R = K * L / A where resistivity is constant for material, L the length of the material and A the area of the material
K = R * A / L where R is the resistance of the material
Genevieve was working on a science lab. In her lab, she was combining two chemicals and timing how long the reaction took to form a precipitate. She repeated the investigation a total of five times. Her times are shown below. trial time (min:sec) 1 08:37 2 07:59 3 08:16 4 08:21 5 08:03 The next day, the instructor told Genevieve that the standard time for her investigation should have been 8 minutes 7 seconds. Which of the following choices describes Genevieve's work in the lab?
Answer: Her test trials had a high level of accuracy but a low level of precision.
Explanation:
Answer:
Her test trials had a high level of accuracy but a low level of precision.
Explanation: