A 3.0-kg block slides along a frictionless tabletop at 8.0 m/s toward a second block (at rest) of mass 4.5 kg. A coil spring, which obeys Hooke's law and has spring constant k = 850 N/m , is attached to the second block in such a way that it will be compressed when struck by the moving block. What will be the maximum compression of the spring? Express your answer using two significant figures.
What will be the final velocities of the blocks after the collision? Enter your answers numerically separated by a comma.v′first, v′second?
Is the collision elastic? Ignore the mass of the spring.

Answers

Answer 1

The maximum compression of the spring is  0.62 m.

The maximum compression of the spring can be found by using conservation of energy.

The initial kinetic energy of the 3.0-kg block is given by (1/2)mv^2 = (1/2)(3.0 kg)(8.0 m/s)^2 = 96 J. This energy is transferred to the spring when it collides with the second block, causing the spring to compress. The potential energy stored in the spring when it is compressed by a distance x is given by (1/2)kx^2.

Equating these two energies, we have 96 J = (1/2)(850 N/m)x^2, which gives x = 0.62 m.

To find the final velocities of the blocks after the collision, we can use conservation of momentum. The initial momentum of the system is (3.0 kg)(8.0 m/s) = 24 kg·m/s.

After the collision, the momentum of the system is conserved and is given by (3.0 kg)v′first + (4.5 kg)v′second, where v′first and v′second are the final velocities of the first and second blocks, respectively.

We also know that the total kinetic energy of the system is conserved, since there is no friction. The kinetic energy of the system after the collision is given by (1/2)(3.0 kg)v′first^2 + (1/2)(4.5 kg)v′second^2.

Using conservation of momentum and kinetic energy, we can solve for v′first and v′second. Solving for v′first, we get v′first = 1.57 m/s, and solving for v′second, we get v′second = 3.06 m/s.

Since the total kinetic energy of the system before and after the collision is conserved and there is no external work done on the system, the collision is elastic.

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Related Questions

Can someone help me with this

Can someone help me with this

Answers

The time that it would have to take for the ball to have the vertical component is 0.8 seconds. Option A

How to solve for the total time

We have the following details to solve the problem with.

initial velocity = 10 m / s

vertical velocity = -2 m/s

the angle is 37 degrees

we have to solve for Vyi

= 10 sin 37

= 10 * 0.60

= 6.01

We have to solve for t1. This is the time that it would take to get to the maximum height

t1 = Vy1 / g

= 6.01 / 9.81

= 0.61 seconds

Next we have to solve for t2

the distance is given as -2m / s

t2 = 2 / 9.81

= 0.20

Then the total time T = t1 + t2

= 0.61 + 0.20

= 0.81 seconds

T ~ 0.8 seconds

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repeating anyone ineed answers plsss?

repeating anyone ineed answers plsss?

Answers

Answer:

the answer of question no5 is b

Need the answer badddd without this app I’d be screwed

Need the answer badddd without this app Id be screwed

Answers

Answer:

B

Explanation:

The first modern personality test was the Woodworth Personal Data Sheet, which was first used in 1919. It was designed to help the United States Army screen out recruits who might be susceptible to shell shock.

so, B is correct

Answer:

The answer is B, I hope this helps.

If you were to get up out of your seat and walk to the office, then return and sit in your seat again what is your displacement?

Answers

Answer:

0

Explanation:

Displacement is the distance between the start and end point of your travel. If you start in your seat, and end up in your seat, your displacement is 0.

A lens with f = 35.0 cm is held
42.0 cm from an object. Where
does the image form?

Answers

Answer: 210 cm

Explanation:

Look up Thin Lens Equations Calculator- it helps!

The gray whale travels an average of 120 km per day as it migrates

Answers

A gray whale travels an average of 120 km per day as it migrates is an example of Speed.

Speed is the ratio of distance to time taken. It is given by:

Speed = Distance / time

Speed is a scalar quantity, hence it has magnitude and no direction.

Hence, A gray whale travels an average of 120 km per day as it migrates is an example of Speed since the direction of the whale is not given.

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Determine whether the series is convergent or divergent. 1 + 7n Σ 57 n = 1 convergent divergent If it is convergent, find its sum. (If the quantity diverges, enter DIVERGES.) 7 4

Answers

The given series, 1 + 7n Σ 57 n = 1, is divergent because the terms in the series continue to increase without bounds, the sum of the series also increases indefinitely.

To determine the convergence or divergence of the series, we can analyze its behaviour as n approaches infinity. The series can be written as Σ(1 + 7n*57) for n = 1 to infinity. By simplifying the expression, we have Σ(399n + 1) for n = 1 to infinity.

As n increases, the summand of the series grows linearly with a coefficient of 399. Since the coefficient is nonzero and positive, the series will diverge. This means that the sum of the series will not approach a finite value as n tends to infinity.

Therefore, the given series is divergent, and we cannot find its sum. It is important to note that a divergent series does not have a finite sum. Therefore, the sum of the given series is "DIVERGES."

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The sound quality that is related to the sounds clarity, "nasalness" or "reedy-ness" is _____.
a. pitch
b. amplitude
c. timbre
d. frequency

Answers

Frequency is the aspect of sound that has to do with clarity, nasality, or reediness.

What is the frequency Hz?

Frequency is defined as the rate of changes in current trajectory per second. It is given in hertz (Hz), an internationally recognized measurement unit. Every cycle per second is equal to one hertz. One pulse every second is equal to one hertz (Hz). A cycle is a complete alternate or voltage wave.

What are the components of sound?

Since audio is a waveform, it possesses all the characteristics ascribed to waves, and these characteristics are the four factors that describe all sounds. In terms of music, they are pitch, dynamism, tone (tone color), and endurance. They are the frequency, intensity, wave shape, and duration.

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A student walks to the right 25-m along the 800 hall in 15-s. They turn around and walk 15-m to the left in 8.0-s. Calculate the average speed and the average velocity

Answers

Answer:

Explanation:

Total distance covered  = 25 + 15 = 40 m

Total time = 15 + 8 = 23 s

Average speed = total distance covered / total time

= 40 / 23

= 1.74 m / s

Total displacement = 25 - 15 = 10 m

Total time = 15 + 8 = 23 s

Average velocity = total displacement / total time

= 10 / 23

= .434 m / s to the right .

The average speed of the student is approximately 1.74 m/s, and the average velocity is approximately -1.74 m/s (to the left).

Given:

Distance to the right = 25 m

Time taken to the right = 15 s

Distance to the left = 15 m

Time is taken to the left = 8.0 s

To calculate the average speed and average velocity, we need to use the following formulas:

Average speed = Total distance traveled ÷ Total time taken

Average velocity = Displacement ÷ Total time taken

Calculate the total distance traveled:

Total distance = Distance to the right + Distance to the left

Total distance = 25 + 15 = 40 m

Calculate the total time taken:

Total time = Time taken to the right + Time taken to the left

Total time = 15 + 8.0 = 23 s

Calculate the average speed:

Average speed = Total distance ÷ Total time

Average speed = 40 ÷ 23 = 1.74 m/s

Calculate the displacement:

Displacement = Final position - Initial position

Displacement = (-15 ) - 25  = -40 m

Calculate the average velocity:

Average velocity = Displacement ÷ Total time

Average velocity = -40 ÷ 23  ≈ -1.74 m/s

So, the average speed of the student is approximately 1.74 m/s, and the average velocity is approximately -1.74 m/s (to the left). The negative sign in the average velocity indicates that the student's net direction is to the left.

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Using the correct IUPAC nomenclature, what is the correct name, formula,
and classification of a compound that contains two nitrogen atoms and one
oxygen atom?
O A. Mononitrogen dioxide, N20, covalent compound.
B. Nitrogen dioxide, NO2, ionic compound.
O C. Dinitrogen monoxide, N20, covalent compound.
D. Nitrogen oxide, No, ionic compound.

Answers

Answer: C is right

Explanation:

N and O are no-metals and forms covalent bonds.

Usually they need a. Prefix whic tells number of atoms in compound

can someone mark the brainliest?

Answers

Answer:

I think I can have a good day

Answer:

What do you mean by your question?

A 83 kg hiker uses 211 kcal hr-1 of energy whilst hiking. assuming that 20% of this energy goes into useful work and the other 80% is converted to heat within the body, calculate the temperature change, in units of kelvin (k), of the hiker's body during a 1.7 hour long hike.

assume that none of this generated heat is transferred to the environment during the hike. the average specific heat capacity of a human body is 0.83 kcal kg-1 k-1.

Answers

Temperature change: 3.67 K

What is the temperature change, in units of Kelvin (K), of the hiker's body during the 1.7-hour hike?

To calculate the temperature change of the hiker's body during the hike, we need to find the amount of heat generated within the body and then use the specific heat capacity to determine the temperature change.

First, let's find the amount of heat generated during the hike:

Energy used for useful work = 20% of total energy = 0.2 * 211 kcal/hr = 42.2 kcal/hr

Energy converted to heat within the body = 80% of total energy = 0.8 * 211 kcal/hr = 168.8 kcal/hr

Next, let's convert the energy values from kcal/hr to kcal:

Energy used for useful work = 42.2 kcal/hr * 1.7 hr = 71.74 kcal

Energy converted to heat within the body = 168.8 kcal/hr * 1.7 hr = 286.96 kcal

Now, let's convert the energy values from kcal to joules:

Energy used for useful work = 71.74 kcal * 4184 J/kcal = 299,932.16 J

Energy converted to heat within the body = 286.96 kcal * 4184 J/kcal = 1,199,724.64 J

Next, let's find the temperature change using the formula:

Temperature change = (Energy converted to heat) / (mass * specific heat capacity)

Temperature change = (1,199,724.64 J) / (83 kg * 0.83 kcal/kg·K * 4184 J/kcal)

Temperature change = 3.67 K

Therefore, the temperature change of the hiker's body during the 1.7-hour hike is approximately 3.67 Kelvin.

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now assume that the surface is rough (that is, not frictionless). you perform the experiment and observe that the second spring only compresses a distance d2/2. how much energy, in joules, was lost to friction?

Answers

Assuming the surface is frictionless, the energy lost to friction would be 0 Joules.

Energy lost due to Friction

Friction is the force that resists motion between two objects that are in contact with each other. In the experiment, friction is the force that resists the motion of the second spring as it compresses a distance of d2/2. Since the surface is rough, it provides a strong resistance to the motion of the spring, thus leading to a loss of energy.

However, if the surface had been frictionless, then the second spring would have compressed a distance of d2, as there would be no resistance to its motion. This means that no energy would have been lost to friction, as there would not have been any friction present in the system.

In conclusion, friction is the force that is responsible for the loss of energy in this experiment. When the surface is rough, the friction between the surface and the second spring is strong, leading to a loss of energy. However, when the surface is frictionless, the friction between the surface and the second spring is not present, thus no energy is lost to friction.

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A tennis ball is thrown straight up into the air with an initial velocity of 12.7 m/s. How high does the tennis ball travel?

Answers

Answer:

8.22m

Explanation:

As interpreted from this problem, the angle of launch is 90 degrees as it is thrown straight up. Given an angle launch of 90°, upward initial velocity of 12.7m/s, and initial height of 0m. A much simpler equation can be used to find the maximum height.

\(h_{max} = h_ {0} + \frac{{v_0}^{2} }{2g}\)

this means that the max height is equal to the initial height plus the initial velocity squared divided by 2 times the acceleration of earth's gravity(≈9.8m/s^2 or 10m/s^2 depending on how you fix it).

when substituted into the equation, you should get.

(9.8m/s^2)

hmax = 0 + ((12.7)^2)/(2*9.8)

hmax = 161.29/19.6 ≈ 8.22

hmax = 8.22m

A penny is dropped from the top of a 240.0 m building and is in
free fall. How long will it take
the penny to hit the ground?
O 24.5 sec
3.5 sec
7 sec
O 5 sec

Answers

Answer:

It would take 5

18.3

Explanation:

It depends on how fast it comes and the timing

The proportionality dependence of the current (i) through any conductor to the voltage (v) across it and its resistance (r) is true for all conductors regardless of temperature.

a. True
b. False

Answers

It is FALSE that the proportionality dependence of the current (i) through any conductor to the voltage (v) across it and its resistance (r) is true for all conductors regardless of temperature.

When the conductors have a higher temperature, the molecules in the conductor will be more crowded and the result is the resistance of the conductor will rise. Hence, the current flowing through the conductor will decrease in the same voltage.

In the lower temperature, the resistance of the conductor will decrease and lead to more current flowing through the conductor in the same voltage.

Thus, the conductor temperature has an effect on its resistance.

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What is the pressure profile of a compressible fluid in the container as the height increases?

Answers

As the height of a compressible fluid in a container increases, the pressure profile will also increase. This is due to the weight of the fluid above exerting more force on the lower levels of the fluid.

The pressure profile of a compressible fluid in a container changes as the height increases. As the height increases, the pressure exerted by the fluid also increases. This is due to the weight of the fluid above exerting a force on the fluid at lower levels.

To understand this, let's consider an example of a column of air in a container. As we move higher in the column, the weight of the air above increases, causing an increase in pressure. This can be explained by the concept of hydrostatic pressure, which states that the pressure at a certain depth in a fluid is directly proportional to the height of the fluid column above it.

Therefore, as the height increases, the pressure profile of the compressible fluid will show an increase in pressure. This is because the weight of the fluid above becomes greater, resulting in more force being exerted on the lower levels of the fluid.

It is important to note that this explanation assumes the fluid is incompressible. In reality, gases like air are compressible, so the pressure profile may not be linear and can be affected by factors such as temperature and the compressibility of the fluid.

In summary, as the height of a compressible fluid in a container increases, the pressure profile will also increase. This is due to the weight of the fluid above exerting more force on the lower levels of the fluid.

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This man is jumping through the air what are forces use​

Answers

Answer:

Thrust / Lift / Gravity

Explanation:

He must create enough force of thrust to jump for a short time and gravity pulls him back down almost immediately.

Answer:

gravity and resistance, the man is moving so the force is unbalanced

Explanation:

Q1. An event has spacetime coordinates (x,t)=1,300 m,3.0 s in reference frame S. What are the spacetime that moves in the negative x - direction at 0.03c ? (1) Spacetime coordinates (Point System; 4 marks) (2) Use Lorentz transformation equation to answer the question (Rubric 4 marks)

Answers

The spacetime Using Lorentz transformation equation coordinates in the moving frame are (1303.93 m, 3.01 s).

Given information:

An event has spacetime coordinates (x,t)=1,300 m,3.0 s in reference frame S.What are the spacetime that moves in the negative x - direction at 0.03c?We know that the coordinates of the same event as observed from two different inertial frames are related by the Lorentz transformation equations.

Using Lorentz transformation equation:(x', t') = (γ(x − vt), γ(t − vx/c²))where γ = 1/√(1−v²/c²) represents the Lorentz factor, x is the position in the stationary frame, t is time in the stationary frame, x' is the position in the moving frame, t' is time in the moving frame, v is the relative velocity between the two frames and c is the speed of light in vacuum.We are given,x = 1,300 mt = 3.0 s, v = −0.03c (since the motion is in the negative x direction)∴ γ = 1/√(1−v²/c²) = 1/√(1−0.03²) = 1/0.997

The spacetime coordinates in the moving frame, (x', t') = (γ(x − vt), γ(t − vx/c²))= [1/0.997 (1300 - (-0.03c)(3.0))] m, [1/0.997 (3.0 - (-0.03c)(1300)/c²)] s= (1303.93 m, 3.01 s) [correct to 2 decimal places]

Therefore, the spacetime coordinates in the moving frame are (1303.93 m, 3.01 s).

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An object of mass m is moving in a circle of radius R with a constant speed of v. What is the magnitude of the net force on the object

Answers

An object of mass m is moving in a circle of radius R with a constant speed of v.The magnitude of the net force on the object moving in a circle is equal to the centripetal force, which is given by  |F_net| = |F_c| = (m × v^2) / R.

The magnitude of the net force on an object moving in a circle with a constant speed is given by the centripetal force.

The centripetal force (F_c) can be calculated using the equation:

F_c = (m × v^2) / R

where F_c is the centripetal force, m is the mass of the object, v is the speed of the object, and R is the radius of the circle.

Therefore, the magnitude of the net force on the object moving in a circle is equal to the centripetal force, which is given by:

|F_net| = |F_c| = (m × v^2) / R

Where |F_net| denotes the magnitude of the net force.

It's important to note that the net force is always directed towards the center of the circle, providing the necessary inward force to keep the object moving in a circular path.

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Which object has the most potential energy...

ASAP

Which object has the most potential energy...ASAP

Answers

i think d is the correct answer

An object has a mass of 5.20g. The mass of the object in kg is​

Answers

Answer:

0.0520kg

Explanation:

divide by 1000

During a vacation trip, Taylor drives a car at one speed for
2 hours, at a different speed for 1 hour, and then at a third
speed for 1 more hour.
How can you find Taylor's average speed during the car trip?
A. Multiply the total driving time by the total distance.
B. Divide the total driving time by the total distance.
C. Divide the total distance by the total driving time.
D. Subtract the total distance from the total driving time.

Answers

Answer:

C. Divide the total distance by the total driving time.

Explanation:

As we are finding average speed across the entire trip, we divide the total distance by the total time taken. This is because speed = distance/time and will give us the average over the whole time.

Hope this helped!

In the circuit shown above, the current through the ammeter is 20 mA and the voltmeter indicates 1.0 V. What is the current through the 40 resistor?

A. 7.5mA
B. 10mA
C. 20mA
D. 40mA​

In the circuit shown above, the current through the ammeter is 20 mA and the voltmeter indicates 1.0

Answers

Answer:

20mA

Explanation:

because it is connected in series with the ammeter

The current through the 40Ω resistor in the given circuit is 20mA, which is explained below.

Current through the resistors:

The volate across resistor R is 1V, as indicated by the voltmeter.

Since the potential of the battery is 3V, according to Kirchoff's voltage law, the voltage drop across 20Ω resistors must be 1V each since they are indentical.

Let a total current I passes through 20Ω resistor as it is connected to the battery in series. From Ohm's law:

20Ω × I = 1V

I = 50mA

Now the current indicated by the ammeter is 20mA which splits according to the reistors of 15Ω and 30Ω which are connected in parallel. Then again the current adds up to 20mA when leaving the set of parallel resistors, through the 40Ω resistor.

So the current through the 40Ω resistor is 20mA

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According to Hooke's law, the force exerted by a compressed or stretched spring is proportional to...

Answers

Answer:

Hooke's law can be written as:

F = -k*Δx

Where k is a constant that depends on the spring, called the spring constant.

And Δx = (x - x₀) is the displacement of the spring with respect to the rest position x₀

And a proportional equation is something like:

y = c*x

Where c is a constant of proportionality.

In the case of Hooke's law, the constant is K, then the force is proportional to the displacement of the spring with respect to the rest position Δx.

Acceleration occurs when an object changes its ____________________ or ____________________ or both.

Answers

Answer:

Acceleration occurs when an object changes its VELOCITY or DIRECTION or both.

Explanation:

Answer:

When the velocity of an object changes it is said to be accelerating. Acceleration is the rate of change of velocity with time. ... Acceleration occurs anytime an object's speed increases or decreases, or it changes direction. Much like velocity, there are two kinds of acceleration: average and instantaneous. answer velocity or direction.

hope this helps!

Which of the following scenarios demonstrates a transfer
between kinetic energy and potential energy?

Answers

Answer:

what scenarios?  but kinetic is energy in motion (like a ball rolling) and potential is stored energy (ball laying on ground)

example (kinetic to potential) : baseball flying and and lands on the ground then stops rolling

roller coaster rolling down a hill then stopping (kinetic to potential)

roller coaster on top of a hill and then going down (potential to kinetic)

Explanation:

Which of the following objects
would have the greatest
gravitational force?
A A table
B The moon
C The Earth
D The sun

Answers

I think it is the sun

Calculate the number of moles of water molecules in 12 cubic decimate of water vapour at STP

Answers

There are 0.0568 moles of water molecules in 12 cubic decimetre of water vapour at STP.

The given quantities are as follows; Volume of water vapour at STP = 12 cubic decimetre, Temperature of water vapour at STP = 273 K, Pressure of water vapour at STP = 1 atm

1. Firstly, we need to convert the given volume to liters.

1 decimetre = 0.1 meters

1 cubic decimetre = 0.1 x 0.1 x 0.1 cubic meters = 0.001 cubic meters

1 cubic meter = 1000 liters

1 cubic decimetre = 0.001 x 1000 liters = 1 liter

Therefore, the volume of water vapour at STP is 12 liters.

2. Next, we use the ideal gas law:

PV = nRT

where P = pressure, V = volume, n = number of moles, R = ideal gas constant, and T = temperature.

We can rearrange this equation to solve for n:

n = PV/RT

We need to convert the pressure to Pascals, volume to cubic meters, and temperature to Kelvin.

1 atm = 101325 Pa

12 liters = 0.012 cubic meters

273 K = 0 °C + 273 = 546 R

Now, we can plug in these values:

n = (101325 Pa)(0.012 m³)/(8.314 J/mol·K)(546 K)

n = 0.0568 mol

Therefore, the number of water molecules are 0.0568 moles.

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A snail can move app approximately 0.30 inches per minute. How many meters can the snail cover in 15 minutes

Answers

4.5 i’m pretty sure sorry if i’m wrong

Answer:

4.5 because just do the math and its 4.5

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