A 350{\rm g} object on a frictionless, horizontal lab table is pushed against a spring of force constant 30.0{\rm N}/{\rm cm} and then released. Just before the object is released, the spring is compressed 14.0{\rm cm} .
Part A
How fast is the object moving when it has gained half of the spring's original stored energy?
v = ________ {\rm m/s}

Answers

Answer 1

To determine the speed of the object when it has gained half of the spring's original stored energy, we first need to calculate the initial potential energy stored in the spring. The potential energy of a compressed spring is given by the formula:

PE = (1/2)kx²

where PE is the potential energy, k is the spring constant (30.0 N/cm), and x is the compression distance (14.0 cm). We need to convert the spring constant to N/m and the compression distance to meters for the SI units:

k = 30.0 N/cm * (1 m/100 cm) = 300 N/m
x = 14.0 cm * (1 m/100 cm) = 0.14 m

Now we can find the initial potential energy:

PE_initial = (1/2)(300 N/m)(0.14 m)² = 4.41 J

Half of the initial potential energy will be converted into kinetic energy (KE):

KE = (1/2)PE_initial = 2.205 J

The kinetic energy of an object is given by the formula:

KE = (1/2)mv²

where m is the object's mass and v is its velocity. We need to convert the object's mass to kg:

m = 350 g * (1 kg/1000 g) = 0.35 kg

Now we can solve for the object's velocity, v:

2.205 J = (1/2)(0.35 kg)v²

Rearrange and solve for v:

v² = (2.205 J * 2) / (0.35 kg)
v² = 12.6

v = √12.6 ≈ 3.55 m/s

So, the object's velocity when it has gained half of the spring's original stored energy is approximately 3.55 m/s.

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Related Questions

A car start from rest and reached with a speed of 20m/s in 9seconds calculate the acceleration of the car and calculate the displacement covered in this time ​

Answers

Hi there!

Acceleration:

a = Δv / Δt, so:

a = 20/9 ≈ 2.22 m/s²

Displacement:

We can use the equation Δd = v₀t + 1/2at² to solve. (Initial velocity is 0).

Δd = 1/2at²

Plug in the acceleration and time:

Δd = 1/2(2.22)(9)² ≈ 89.91 m

how does a pilot normally obtain the current altimeter setting during an ifr flight in class e airspace below 18,000 feet?

Answers

A pilot normally obtains the current altimeter setting during an IFR flight in class e airspace below 18,000 feet because ATC periodically advises the pilot of the proper altimeter setting.

When ATC provides a pilot with an altimeter reading, that pilot can then set his or her own altimeter to the same reading, ensuring that both pilots' displays reflect the same, precise height. The sub-scale of a pressure altimeter is adjusted to a certain atmospheric pressure that represents the height of an aircraft above a fixed reference surface. In the context of landing, that's crucial. So that we don't crash into any of the terrain in our route of flight and so that we can keep proper altitude separation from other aircraft as atmospheric pressure varies from place to place, pilots utilize altimeters.

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which is a harmful role of bacteria of bacteria?

Answers

Answer:

Harmful bacteria are called pathogenic

Explanation:

Harmful bacteria are called pathogenic bacteria because they cause disease and illnesses like strep throat, staph infections, cholera, tuberculosis, and food poisoning.

Do y'all agree with nuclear energy? Why?

Answers

No, nuclear energy harms the world.

Which of these is a unique use of gamma radiation?
A. Detection of thyroid cancer
O B. CT scanners
C. Smoke detectors
D. Killing bacteria
SUBMIT
Who knows

Answers

Answer:

the answer would be 'd'

Explanation:

im really good at this stuff

The unique use of gamma radiation is Killing bacteria. The correct option is D.

What is gamma radiation?

Gamma radiation is a type of electromagnetic radiation that is highly energetic and has no mass or charge. It is the most penetrating form of radiation and is often emitted during radioactive decay or nuclear reactions. Gamma rays have the shortest wavelengths and highest frequencies in the electromagnetic spectrum, ranging from about 0.1 nanometers to 10 picometers in wavelength. They can cause ionization in matter, meaning they can knock electrons out of atoms or molecules, making them highly damaging to living tissue. Gamma radiation is commonly used in medical imaging and cancer treatment, as well as in industrial applications for sterilization and food preservation.

Here in the Question,

Option A. Detection of thyroid cancer: Gamma radiation is used in medical imaging techniques such as PET scans and SPECT scans to diagnose cancerous conditions, but it is not unique to the detection of thyroid cancer.

Option B. CT scanners: Gamma radiation is not used in CT (computed tomography) scanners. CT scanners use a series of X-rays to produce detailed images of the inside of the body.

Option C. Smoke detectors: Smoke detectors use a small amount of radioactive material, typically americium-241, to ionize air particles and detect the presence of smoke. While gamma radiation is a type of ionizing radiation, smoke detectors do not use gamma radiation specifically.

Option D. Killing bacteria: Gamma radiation is used in the food industry to kill bacteria and sterilize food products, such as spices, meat, and poultry. This is a unique use of gamma radiation, as it relies on its ability to destroy microorganisms at high doses while leaving no residual radiation.

Therefore, The correct answer is option D i.e Killing bacteria.

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Once a scientist has made a hypothesis, what would they typically do next? (2 points)
a
Analysis
b
Testing
C
Research
d
Sharing

Answers

Answer:Testing

Explanation:Once a scientist has made a hypothesis, what would they typically do TESTING nextn

Once a scientist has made a hypothesis, they would typically do testing, therefore the correct answer is option B

What is the scientific claim?

Scientific claims are statements made in science based on an experiment.

These Scientific claims are backed by the experimental data and their true results obtained from scientific investigation and experimentation.

When a scientist performs a fair test is one in which all other circumstances are maintained while just one variable is changed at a time.

Scientists frequently discover that their hypotheses and predictions were not supported by the results of their experiments. In these situations, they will communicate the findings of their experiment before revising their original hypotheses and predictions in light of the new knowledge they have gained.

The right response is option B because once a scientist has made a theory, they usually do testing.

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the motion(s) that occur at the radioulnar joint?

Answers

The radioulnar joint is a synovial joint located at the elbow that connects the radius and the ulna, enabling rotational motion.

The radioulnar joint allows for pronation and supination. Pronation refers to the motion of rotating the forearm so that the palm faces downwards, while supination refers to the motion of rotating the forearm so that the palm faces upwards. The radioulnar joint allows the radius and ulna to move relative to each other, resulting in rotational motion.

When the forearm is pronated, the radius rotates over the ulna and crosses it, while the ulna remains stationary. When the forearm is supinated, the radius rotates back to its original position, and the two bones are parallel to each other.The radioulnar joint is important in many activities, including writing, typing, playing musical instruments, and sports like tennis and golf. Any damage to this joint can result in a loss of pronation and supination, making daily activities challenging.

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a 9.0 mh inductor is connected in parallel with a variable capacitor. the capacitor can be varied from 120 pf to 240 pf.

Answers

To find the resonant frequency of this circuit, we can use the formula: Resonant frequency (f) = 1 / (2 * π * √(LC))
Where L is the inductance in henries and C is the capacitance in farads.

Convert the inductance from millihenries (mH) to henries (H). 9.0 mH = 0.009 H Convert the capacitance from picofarads (pF) to farads (F). 120 pF = 120 * 10^(-12) F = 0.000000000120 F 240 p

F = 240 * 10^(-12) F = 0.000000000240 F Calculate the resonant frequency.For the lower capacitance:
f1 = 1 / (2 * π * √(0.009 * 0.000000000120)) For the higher capacitance:
f2 = 1 / (2 * π * √(0.009 * 0.000000000240)) The resonant frequency range is from f1 to f2.

This is the main answer to your question. The resonant frequency of the circuit with a 9.0 mH inductor connected in parallel with a variable capacitor ranging from 120 pF to 240 pF can be calculated using the formula f = 1 / (2 * π * √(LC)), where L is the inductance in henries and C is the capacitance in farads. To find the resonant frequency range, we convert the inductance from millihenries to henries (0.009 H) and the capacitance from picofarads to farads (0.000000000120 F to 0.000000000240 F). By plugging these values into the formula, we can calculate the resonant frequencies for the lower and higher capacitance values.

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Physical Science Pre-Test 2020-2021 Question: 1-10 The distance between Earth and the Moon was determined by measuring the time it took for light waves from Earth to travel to the Moon and back. Why was it not possible to use sound waves for this experiment Sound waves must move through a substance Sound waves would change frequency on the return to Earth Sound waves move too slowly for the technique to be accurate Sound waves move more slowly in Earth's atmosphere than in space​

Answers

Answer:

Option A - Sound waves must move through a substance

Explanation:

Unlike light waves, sound waves must travel through a medium/substance for such a medium to vibrate and then produce sound.

As a matter of fact sound can't travel through empty space.

Thus, looking at the options given, the correct one is:

Sound waves must move through a substance which is Option A

Question 10 of 34
Julia walks from the park 6 blocks east of her house to the store 3 blocks
east of her house. The walk takes Julia 5 minutes. What is her average
velocity on this walk?
OA. 0.6 blocks/min east
OB. 1.2 blocks/min
O C. 1.8 blocks/min
OD. 0.6 blocks/min west

Answers

Julia walks from the park, which is six blocks east of her house, to the store, which is three blocks east of her house. Julia walks for 5 minutes. This walk's average speed will be 1.2 blocks per minute. Option B is correct.

What is displacement?

Displacement is defined as the shortest distance between the two points. Distance is the horizontal length covered by the body. While displacement is the shortest distance between the two points.

Displacement is a vector quantity .its unit is m.

The average velocity on this walk will be;

\(\rm v_{avg}= \frac{d}{t} \\\\ \rm v_{avg}= \frac{6 \ block+ 3 \ block }{5 \ minute } \\\\ v_{avg}=1.4 \ block /min\)

Hence option B is correct.

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What are two ways fusion is used in the real world.

Answers

Answer:

The main application for fusion is in making electricity. Most fusion reactors make less radiation than the natural background radiation we live with in our daily lives. ... Clean - No combustion occurs in nuclear power (fission or fusion), so there is no air pollution.

Which statement accurately describes the motion of the objects in the ticker tape above?


Both objects are speeding up at a constant rate.

One object speeds up before it slows to a stop.

Both objects speed up before stopping.

One object speeds up at a constant rate until it stops.

Answers

Answer:

B

Explanation:

One object speeds up before it slows to a stop.

When reading this type of graph, we know that when the points are far apart, then the object is definitely moving quickly. Also again, we know that when the points are besides each other, then we say that the object is moving slow. When the distance that is between the points are changed, the velocity of the object subsequently changes too, and therefore, we say that the object is accelerated. When there are lots of points in one location, we will see that the object is not moving.

This then translates into that

The object(s) at the top begins to slow, eventually, it increases in its speed, going forward, it slows down again, before it finally halts. The object at the bottom on the other hand, starts fast, before slowing down.

then:

"One object speeds up before it slows to a stop "

which type of forces would be experienced by a sled that is being pulled by a rope (choose 4)

which type of forces would be experienced by a sled that is being pulled by a rope (choose 4)

Answers

Friction, wind resistance, gravity, tension force

what is the maximum acceleration of a platform that vibrates with an amplitude of 5.00 cm at a frequency of 8.90 hz?

Answers

Answer: 93.8m/s²

Explanation:

The acceleration amplitude is given by,

aₓ = ω² * xₓ

where ω is the angular frequency and ω = 2πf

since there are 2π radians in one cycle,

acceleration can be given as

aₓ = (2π*8.90)² * ( 0.03)

aₓ = 93.8 m/s²

why doesnt food have energy

Answers

Oh it has ! It has ! That's exactly where you get all the energy you use to think, breathe, and move.

How do you determine the effect of initial speed on the horizontal distance traveled by a projectile?

Answers

x(t)=voₓ.t = vo cos α.t

the greater the initial speed, the further the distance obtained

The horizontal distance traveled by a projectile (also known as the range of the projectile) is determined by the initial speed of the projectile, as well as other factors such as the angle at which it is launched and the gravitational acceleration acting on it.

What is a projectile?

A projectile is an object that is projected into the air and follows a parabolic path under the influence of gravity. Examples of projectiles include balls thrown or kicked in sports, bullets fired from guns, and rocks or other objects that are thrown or dropped.

To determine the effect of the initial speed on the horizontal distance traveled by a projectile, you can use the following formula:

\(Range = (Initial speed)^2 * sin(2 * Launch angle) / gravitational acceleration\)

This formula shows that the range of a projectile is directly proportional to the initial speed of the projectile squared, and is also affected by the launch angle and gravitational acceleration.

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where do we use friction in day to day life​

Answers

Answer:

walking in ground

while playing carrom

The mass of each loaf of bread produced by a bakery follows a normal distribution with the mean of 400g and standard deviation of 18g. Find the probability that a loaf of bread chosen at random will have a mass of more than 450g.

Answers

The probability that a loaf of bread chosen at random will have a mass of more than 450g is 0.0026 or 0.26%.

The probability that a loaf of bread chosen at random will have a mass of more than 450g is found by first standardizing the random variable, using the standard normal distribution. We can then use the standard normal table or calculator to find the area to the right of the standardized value. The standardized random variable can be found using the formula

Z = (X - μ) / σ,

where X is the given value, μ is the mean, and σ is the standard deviation.

Substituting the given values, we get:

Z = (450 - 400) / 18 = 2.78

Using the standard normal table or calculator, we can find the area to the right of 2.78. This area represents the probability that a loaf of bread chosen at random will have a mass of more than 450g.

Using a standard normal table or calculator, we find that this area is 0.0026 or 0.26%.

Hence, the probability that a loaf of bread chosen at random will have a mass of more than 450g is 0.0026 or 0.26%.

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How much force (in Newtons) acts on a 1700 kg car going around a
80 m radius turn at a speed of 15 m/s?
a) 375
b) 4781
c) 1167
d) 319

Answers

Answer:

b) 4781 N

Explanation:

Because there is a redius do this question is talking about the acceleration force which= mv^2/r

so a=15^2/80=2.8125 m^2/s

so the force will be = m.a

F =1700×2.8125=4781.25 N

Which one is the right andwerrrrrrrr

Which one is the right andwerrrrrrrr

Answers

2nd one I believe! If I’m wrong sorry

A 70kg bicyclist (including the bicycle) is pedaling right with a constant speed despite
experiencing a 50N drag. Neglect any friction impeding her motion.
What is the magnitude of the net force on the bicyclist?
How much force is her pedaling generating?

Answers

Answer:There are total four forces acting on the bicyclist namely, gravitational force, normal force, pushing force and air drag.

The magnitude of net force acting on the bicyclist is 165 N.

The required magnitude of force generated for the pedaling is of 225 N.

Given data:

The mass of bicyclist is, m = 75.0 kg.

The magnitude of acceleration is, .

The magnitude of drag force is, F = 60.0 N.

(1)

There are in total 4 forces acting on the bicyclist:

The gravitational force on the bicyclist, acting vertically downward, of magnitude , where m is the mass of the bicyclist and g is the acceleration due to gravityThe normal force exerted by the floor on the bicyclist and the bike, N, vertically upward, and of same magnitude as the gravitational forceThe force of push F", acting horizontally forward, given by the push exerted by the bicyclist on the pedalsThe air drag, F, of magnitude F = 60.0 N, acting horizontally backward, in the direction opposite to the motion of the bicyclist

(2)

The magnitude of net force acting on the bicyclist is given as,

Thus, the magnitude of net force acting on the bicyclist is 165 N.

(3)

We need to find the forward force of push, F'', which is actually the force generated during pedaling.

Then the expression for the forward pushing force F" is given as,

Thus, we can conclude that the force  generated for the pedaling is of 225 N.

Explanation:

The magnitude of the net force on the bicyclist was 0 N.

Her pedaling is generating  a force of  50 N in opposite of the drag force .

What is force?

Force is defined in physics as: the push or pull on an object with mass that causes it to change velocity. Force is an external agent that can change the state of rest or motion of a body. It has a magnitude as well as a direction.

A spring balance can be used to calculate force.

As the bicyclist (including the bicycle) is pedaling right with a constant speed, the magnitude of the net force on the bicyclist was = mass × acceleration

= 70 kg × 0 m/s²

= 0 N.

Again her pedaling is generating  a force = drag force = 50 N in opposite of the  drag force . So that, net force on it becomes zero.

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What decibel level can cause hearing damage to begin

Answers

Answer: Noise above 70 dB can cause hearing damage

Explanation:

Answer:

The decibel level that starts to have hearing damage is 120 dB.

Explanation:

I need help! Thank you.

I need help! Thank you.

Answers

Answer:

The answer is the third one.

C.

Hope this helps!

A 66-kg skier speeds down a trail, as shown in (Figure 1). The surface is smooth and inclined at an angle of 22 ∘ with the horizontal.

A)Complete the free-body diagram by adding the forces that act on the skier.
Draw the vectors with their tails at the black dot.

B)Determine the normal force acting on the skier. Express your answer in newtons.

A 66-kg skier speeds down a trail, as shown in (Figure 1). The surface is smooth and inclined at an angle

Answers

(a) The free body diagram consist of three forces, normal force, weight of skier, and force of friction.

(b) The normal force acting on the skier is approximately 600 N.

What are the forces acting on the skier?

The forces that act on the skier are:

Gravitational force or weight (W) acting vertically downward with a magnitude of W = mg.Normal force (N) acting perpendicular to the surface of the slope, with a magnitude equal to the component of the gravitational force perpendicular to the slope.Frictional force (F) acting parallel to the surface of the slope, opposing the motion of the skier.

B) To determine the normal force acting on the skier, we need to find the component of the gravitational force perpendicular to the slope. This can be calculated using trigonometry:

N = mg cos(θ)

where;

θ is the angle of inclination of the slope with respect to the horizontal.

Substituting the given values, we get:

N = (66 kg) x (9.8 m/s^2) x cos(22°)

N ≈ 600 N

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A 66-kg skier speeds down a trail, as shown in (Figure 1). The surface is smooth and inclined at an angle

What kind of strip is Dr. Hewitt holding in his hand?
What happens when Dr. Hewitt heats up the strip?
Why does the strip behave as it does when Dr. Hewitt heats it up?

Answers

(a) a strip welded together from brass on one side and steel on the other Stripe made of two metals.

(b) It flexes.

(c) These metals expand in different ways.

A bimetallic strip is made up of two distinct metals that have been welded together. Different metals expand at various rates when heated. It bends as a result of heat expansion. Thermal expansion refers to the tendency of matter to alter form, area, and volume in reaction to temperature changes.

Because the water vapor flowing out of the nozzle has expanded and cooled, he may hold his palm a few inches above the nozzle.

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Question 5 of 20 Engineers are using computer models to study train collisions to design safer train cars. They start by modeling an elastic collision between two train cars traveling toward each other. Car 1 is traveling south at 18 m/s and has a full load, giving it a total mass of 14,650 kg. Car 2 is traveling north at 11 m/s and has a mass of 3,825 kg. After the collision car 1 has a final velocity of 6 m/s south. What is the final velocity of car 2? A. 81 m/s north O B. 81 m/s south C. 35 m/s south D. 35 m/s north​

Answers

Answer:

35m/s south

Explanation:

Answer:

It's C

Explanation:

Your welcome!

what is one weird thing that happens at absolute zero?​

Answers

Answer:

Atoms cannot move.

Explanation:

A bike starting from rest acquires a speed of 40m/s in 20 seconds. Then, the bike travels with this speed for 15 seconds. Find the : Acceleration Distance travelled during acceleration, ,total distance travelled ​

Answers

Explanation:

i hope you can understand my calligraphy :)

A bike starting from rest acquires a speed of 40m/s in 20 seconds. Then, the bike travels with this speed

The acceleration of the bike is 2 m/s². The distance traveled during acceleration is 100 m. The total distance covered by bike is 700m.

What is the equation of motion?

The equations of motion can be described as the relationship between the acceleration (a), velocity, time (t), and displacement of a moving object.

The equations of motions can be demonstrated as follows:

\(v = u + at\\S = ut +(1/2)at^2\\v^2-u^2= 2aS\)

Given, the initial speed of the bike, u = 0

The final speed of the bike, v = 40 m/s

The time takes to get this speed, t = 20 s

v = u + at

40 = 0 + a(20)

a = 2 m/s²

The distance traveled during acceleration, v²- u²= 2aS

(20)² - (0) = 2 ×2 ×S

S = 100 m

The total distance covered by the bike:

For the next 15 seconds, Distance = v ×t = 40 × 15 = 600 m

The total distance covered by bike = 100 + 600 = 700 m

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The libero is the player who wears a different color jersey.
True or false

Answers

This is very much true

A 50 kg mass is sitting on a frictionless surface. an unknown constant force pushes the mass for 2 seconds until the mass reaches a velocity of 3 m/s.
a) what is the initial momentum of the mass?
b) what is the final momentum of the mass?
c) what was the force acting on the mass?
d) what was the impulse acting on the mass?

Answers

Answer:

Initial momentum: \(0\; {\rm kg \cdot m \cdot s^{-1}}\).

Final momentum: \(150\; {\rm kg \cdot m\cdot s^{-1}}\).

Force on the mass (assuming that the force is constant): \(75\; {\rm N}\).

Impulse on the mass: \(150\; {\rm kg \cdot m \cdot s^{-1}}\).

Explanation:

The momentum \(p\) of an object is equal to the product of mass \(m\) and velocity (a vector) \(v\).

The initial momentum of this mass was \(0\; {\rm kg \cdot m \cdot s^{-1}}\) since the velocity of this object was initially \(0\; {\rm m\cdot s^{-1}}\).

At \(v = 3\; {\rm m\cdot s^{-1}}\), the momentum of this mass (\(m = 50\; {\rm kg}\)) would be:

\(\begin{aligned}p &= m\, v \\ &= 50\; {\rm kg} \times 3\; {\rm m\cdot s^{-1}} \\ &= 150\; {\rm kg \cdot m \cdot s^{-1}}\end{aligned}\).

Assume that the external force \(F\) on this mass is constant. By Newton's Second Law of motion, the external force on this mass would be equal to the rate of change in the momentum of this mass.

Since the momentum of this mass increased by \(\Delta v = 150\; {\rm kg \cdot m \cdot s^{-1}}\) in \(\Delta t = 2\; {\rm s}\), the external force on this mass would be:

\(\begin{aligned}F &= \frac{\Delta v}{\Delta t} \\ &= \frac{150\; {\rm kg \cdot m \cdot s^{-1}}}{2\; {\rm s}} \\ &= 75\; {\rm kg \cdot m \cdot s^{-2}} \\ &= 75\; {\rm N}\end{aligned}\).

The impulse of an external force on an object is equal to the change in the momentum of that object. Since the change in momentum of this mass was \(\Delta v = 150\; {\rm kg \cdot m \cdot s^{-1}}\), the corresponding impulse would also be \(150\; {\rm kg \cdot m\cdot s^{-1}}\):

\(\begin{aligned}J &= \Delta v \\ &= 150\; {\rm kg \cdot m\cdot s^{-1}} \\ &= 150\; {\rm N \cdot s}\end{aligned}\).

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