Blocks A (mass 3.50 kg) and B (mass 10.00 kg) move on a frictionless, horizontal surface. Initially, block B is at rest and block A is moving toward it at 9.00 m/s. The blocks are equipped with ideal spring bumpers. The collision is head-on, so all motion before and after the collision is along a straight line. Let +x be the direction of the initial motion of A. Find the maximum energy stored in the spring bumpers and the velocity of each block at the time of the collision

Answers

Answer 1

The total energy that can be stored in the spring bumpers is 43.8 J, or KE = 43.8.

What is the formula for energy capacity?

The battery's power capacity is the amount of energy it can hold. Its power is commonly stated in Watt-hours (the symbol Wh) (the symbol Wh). A Watt-hour is equal to the voltage (V) and current (Amps) that a battery can produce for a specific period of time (generally in hours). Voltage * Amps * hours = Wh.

Block A's momentum before to the impact can be calculated using the formula p1 = m1v1 = (3.50 kg)(9.00 m/s) = 31.5 kgm/s.

Block B's initial momentum is p2 = m2v2 = 0, indicating that it is at rest.

Prior to the collision, the system's total momentum was equal to 31.5 kgm/p1 + p2.

[tex]p1 + p2 = (m1 + m2)v[/tex]

[tex]31.5 kgm/s = (3.50 kg + 10.00 kg) * v[/tex]

[tex]31.5 kgm/s = 13.50 kg * v[/tex]

[tex]v = 31.5 kg*m/s / 13.50 kg = 2.33 m/s[/tex]

The kinetic energy of block A before the collision is given by KE1 = ([tex]1/2)m1v1^2 = (1/2)(3.50 kg)(9.00 m/s)^2 = 141.8[/tex] J

The kinetic energy of block B before the collision is KE2 = [tex](1/2)m2v2^2 = 0[/tex]

The total kinetic energy before the collision is KE1 + KE2 = 141.8 J

[tex]ΔKE = KEf - KEi = (1/2)(m1 + m2)v^2 - KE1 - KE2[/tex]

[tex]ΔKE = (1/2)(3.50 kg + 10.00 kg)(2.33 m/s)^2 - 141.8 J - 0[/tex]

ΔKE = 43.8 J[tex]31.5 kgm/s = 13.50 kg * v[/tex]

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Related Questions

how do extrusive igneous rocks form

Answers

Answer:

igneous rock is produced when magma exits and cools above (or very near) the Earth's surface. These are the rocks that form at erupting volcanoes and oozing fissures.

what astronomical event would be observed on the moon at the time the earth observed a lunar eclipse?

Answers

A lunar eclipse is an astronomical event where the Earth's shadow is cast onto the moon.

During a lunar eclipse, observers on the Earth would see the moon becoming dimmer and turning a reddish color, while observers on the moon would witness the Earth casting a shadow onto its surface.

The Earth is between the moon and the sun during a lunar eclipse, blocking the direct sunlight that normally illuminates the moon. This causes the moon to become dimmer and take on a reddish hue as indirect sunlight is refracted off of the Earth's atmosphere.

On the moon, observers would be able to see the Earth's shadow slowly moving across its surface. As the Earth's shadow covers the moon, the entire lunar surface will become darkened and take on a reddish hue. This is because indirect sunlight from the sun is refracted off of the Earth's atmosphere, providing a soft, red illumination to the moon's surface.

During a lunar eclipse, therefore, observers on the Earth and on the moon will witness the same kind of astronomical event.

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Critical Thinking
depth (km)
1000-
2000-
3000
0
5
Lesson
10
speed (km/s)
11 Plot A scientist has gathered the following
data for P-wave speeds with depth: 8 km/s at
200 km, 11 km/s at 700 km, 12 km/s at 1,400
km, 13 km/s at 2,200 km, 13.9 km/s at 2,900
km, and 8.5 km/s at 2,901 km. Plot these
points on the graph, and add a title.
15
12 Analyze Connect your points and describe
any trends you see in the graph.
13 Infer Why does the speed drop so
dramatically after 2,900 km?

It’s just the questions 11,12,13 in the photo

Answers

According to the information, the speed increases up to 2,900 kilometers deep and then drops because the pressure is higher.

What trend is seen according to the points?

According to the information of the points we can infer that the speed gradually increases up to 2900 km depth. Once it exceeds this depth, it falls radically to 8.5 km/s (a little higher than the initial speed).

Why does his speed decrease radically?

Its speed decreases radically because it exceeds the depth of 2900 km where the pressure is greatest.

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how many kwh k w h of energy does a 600- w w toaster use in the morning if it is in operation for a total of 6.0 min m i n ?

Answers

The answer are energy used by the 600-watt toaster for 6.0 min is 0.06 kWh (kilowatt-hours).

To solve the problem, we must first calculate the power of the toaster and the time it is in use. The toaster's power is given to be 600 watts, and the time it's in use is 6 minutes.

The formula for calculating energy is given below. Energy = Power x Time Energy = 600 x 6 Joules

Using the conversion factor, we can convert joules to kilowatt-hours (kWh).1 kWh = 3.6 x 10^6 J

Now, we can find out the energy used in kilowatt-hours.

Energy = 600 x 6 / (3.6 x 10^6) kWh Energy = 0.06 kWh

Hence, the energy used by the 600-watt toaster for 6.0 min is 0.06 kWh (kilowatt-hours).

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a stone is thrown down off a bridge with a velocity of 5.6 m/s. what is its velocity after 3 seconds have passed?

Answers

The velocity of the stone after 3 seconds have passed can be calculated using the formula v=u + at, where v is the velocity, u is the initial velocity, a is the acceleration (in this case the acceleration due to gravity, which is 9.8 m/s2), and t is the time. Therefore, the velocity of the stone after 3 seconds have passed will be 5.6 + (9.8*3) = 23.4 m/s.

The acceleration due to gravity causes any object to accelerate as it moves. This acceleration is always constant and acts downwards. Therefore, an object thrown with an initial velocity of 5.6 m/s will continue to accelerate and its velocity will increase. After 3 seconds have passed, the object will have an increased velocity of 23.4 m/s. In addition, when the stone is thrown off the bridge, it is subject to air resistance, which works against the stone and causes it to slow down. The magnitude of air resistance is dependent on a number of factors, such as the shape and size of the object. As such, the stone's velocity after 3 seconds might be slightly lower than the calculated value of 23.4 m/s.


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consider a waterslide that has a vertical drop of h1. at the bottom of the slide the person is leaving the slide horizontally, where the end of the slide is h2 above the water. ignore friction and air resistance to find the distance, l, from the end of the slide a person will land in terms of h1 and h2

Answers

To find the distance, L, from the end of the slide a person will land in terms of h1 and h2,


1. First, calculate the initial velocity of the person as they leave the slide. Since we are ignoring friction and air resistance, we can use the conservation of mechanical energy principle. The potential energy at the top of the slide will be converted into kinetic energy at the bottom.

So, mgh1 = 0.5mv^2,

where m is the mass, g is the acceleration due to gravity, and v is the initial velocity.

The mass cancels out, leaving us with:
  v^2 = 2gh1

2. Next, calculate the time it takes for the person to fall the vertical distance h2. Since the only force acting on the person is gravity, we can use the equation of motion: h2 = 0.5gt^2, where t is the time it takes to fall.

Solving for t:
  t = √(2h2/g)

3. Finally, to find the horizontal distance L, we multiply the initial horizontal velocity by the time it takes to fall. Since the person is leaving the slide horizontally, their initial horizontal velocity is the same as the initial velocity calculated in step 1:
  L = vt
  L = (√(2gh1)) * (√(2h2/g))

By combining these steps, we find that the distance L from the end of the slide a person will land is L = (√(2gh1)) * (√(2h2/g)).

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two 1.5 v batteries are connected in series with a 132.5 ohm resistor. what is the current in the circuit in ma units?

Answers

The current in the circuit is 22.6 mA.

The given circuit has two 1.5 V batteries connected in series with a 132.5-ohm resistor. The task is to calculate the current in the circuit in milliamps (mA). Let's solve this problem step by step.

Step 1: Find the equivalent voltage of the batteries connected in series.

Voltage of one battery is 1.5 V

Total voltage = Voltage of Battery 1 + Voltage of Battery 2

Total voltage = 1.5 V + 1.5 V = 3 V

Step 2: Calculate the current in the circuit using Ohm's law, V = IR.

I = V/R

I = 3 V/132.5 Ω

I = 0.0226 A

Since the current is in Amperes (A), we have to convert it into milliamperes (mA).

1 A = 1000 mA0.0226 A = 22.6 mA

So, the current in the circuit is 22.6 mA.

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Valdez notices that a wooden door in his house is difficult to open in the summer, but not in the winter. Valdez explains to Tony that the temperature of the door changes throughout the year. Tony says there is no way to measure the temperature of a solid because solids do not have a lot of thermal expansion. Valdez disagrees. Develop an argument supporting or opposing Tony's claim.

Answers

Explanation:

Tony's claim that solids do not have a lot of thermal expansion is partially true, but it is not entirely accurate. All materials, including solids, do undergo some degree of thermal expansion or contraction when their temperature changes. However, the amount of expansion or contraction varies depending on the material's coefficient of thermal expansion (CTE), which measures the material's response to temperature changes.

Some materials, like metals, have a high CTE and undergo significant expansion or contraction when their temperature changes. On the other hand, materials like ceramics and glasses have a low CTE and undergo relatively little expansion or contraction. Wood, which is the material used to make the door in Valdez's house, has a moderate CTE, meaning it undergoes some degree of expansion or contraction with changes in temperature.

Therefore, Valdez's argument is valid. The wooden door in his house experiences thermal expansion in the summer due to the higher temperatures. As the temperature increases, the particles in the wood gain kinetic energy, move faster, and create more space between each other, which results in the door expanding. Conversely, in the winter, the lower temperatures cause the particles in the wood to lose energy, move slower, and become closer to each other, which results in the door contracting.

In conclusion, while Tony's statement is correct in that solids do not have a lot of thermal expansion compared to liquids or gases, all solids, including wood, do experience some degree of thermal expansion or contraction due to changes in temperature.

consider a moving charged particle in region of magnetic field. which if the folowing angles between the magnatic field and the particle velocity will result in the largest force on the particle?

Answers

if the particle velocity is perpendicular to the magnetic field lines, the force experienced by the particle will be the largest.

The force experienced by a moving charged particle in a magnetic field is given by the formula:

F = q v B sin(theta)

where F is the force, q is the charge of the particle, v is the velocity of the particle, B is the magnetic field strength, and theta is the angle between the velocity of the particle and the magnetic field.

The force experienced by the particle is maximum when sin(theta) is equal to 1, i.e., when the angle theta between the velocity of the particle and the magnetic field is 90 degrees. This means that the velocity vector of the particle is perpendicular to the magnetic field lines.

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two balls are connected to 60-cm-long light strings and the other ends of the strings are fixed together as shown in the figure. one of the balls has a mass of 2.0 kg and is raised up and to the right until it is 12.0 cm higher than the other ball, which has a mass of 3.0 kg. the upper ball is released from rest and sticks to the lower ball when they collide. for the subsequent motion find the:

Answers

According to the question the speed of the balls just before they collide is 1.81 m/s.

What is collide?

Collide is a term used to describe the process of two objects or particles coming into contact with each other, often resulting in a collision. In physics, the term is used to refer to the force of two objects impacting one another. In everyday language, the term is used to describe two things, such as people or ideas, coming together in a way that produces a powerful impact.

The initial energy of the system can be calculated as:
[tex]E_{initial[/tex] = m₁*g*h + 0
where m_1 is the mass of the upper ball (2.0 kg), g is the acceleration due to gravity (9.8 m/s²), and h is the vertical distance between the two balls (12.0 cm).
The final energy of the system can be calculated as:
[tex]E_{final} = (m_1 + m_2)\times v^2[/tex]
where m_1 and m_2 are the masses of the two balls (2.0 kg and 3.0 kg, respectively), and v is the velocity of the lower ball when the two balls stick together.
From these equations, we can solve for v:
[tex]v = sqrt[(m_1\timesg\timesh)/(m_1 + m_2)] = sqrt[(2.0 kg\times9.8 m/s^2\times12.0 cm)/(2.0 kg + 3.0 kg)] = 1.81 m/s[/tex]
Therefore, the velocity of the lower ball when the two balls stick together is 1.81 m/s.

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a double-slit with slit a width of 0.15 mm is placed 2.3 m from a viewing screen. how far is the first dark fringe from the middle screen when a light of wavelength 450 nm falls on the double-slit?

Answers

The first dark fringe is located approximately 7.35 mm from the central maximum on the screen.

The location of the first dark fringe can be found using the formula:

y = (mλD) / d

where y is the distance from the central maximum to the first dark fringe, m is the order of the fringe (m = 1 for the first dark fringe), λ is the wavelength of light, D is the distance from the double-slit to the screen, and d is the slit spacing (which is the sum of the slit width and the distance between the centers of the two slits).

The slit width is given as 0.15 mm = 0.00015 m, and the wavelength of light is 450 nm = 0.00045 m. The distance from the double-slit to the screen is 2.3 m.

To find the slit spacing, we need to know the distance between the centers of the two slits. If the double-slit is a single piece with two slits, the distance between the centers of the slits is usually given as the width of the slits plus the distance between them. If this information is not provided, we can assume that the distance between the centers of the slits is approximately equal to the width of each slit. Therefore, we can estimate the slit spacing as:

d ≈ 2 × 0.00015 m = 0.0003 m

Substituting the values into the formula, we get:

[tex]y = (1 × 0.00045 m × 2.3 m) / 0.0003 m[/tex]

y ≈ 7.35 m

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a 3.2 hz continuous wave travels on a slinky. if the wavelength is 0.47 m, what is the speed of waves on the slinky (in m/s)?

Answers

The wave's speed on the slinky is 1.504 m/s

The speed of the wave on the slinky is 3.2 meters per second. This is calculated by dividing the frequency of the wave (3.2 Hz) by the wavelength of the wave (0.47 m). The speed of the wave on the slinky is an important factor to consider when studying wave motion and behavior on a slinky. The speed of the wave determines how quickly it can move along the slinky, and it will have an effect on the wave's properties, such as its amplitude, frequency, and wavelength.


The wave's speed on the slinky (in m/s) is 1.504 m/s. The slinky's wavelength is 0.47 m. Continuous waves travel at a frequency of 3.2 Hz on the slinky. The following formula can be used to determine the wave speed: Wave speed = Frequency x Wavelength.

The following formula can be used to calculate wave speed in general:

Wave speed = Distance/time

Let us now use the first formula to solve the question:

Wave speed = Frequency x Wavelength

Wave speed = 3.2 Hz x 0.47 m

Wave speed = 1.504 m/s

Therefore, the wave's speed on the slinky is 1.504 m/s.

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the graph starting from the instant it is released. how could a student use the graph to determine the total energy of the block-earth system?

Answers

A student can use the graph to determine the total energy of the block-earth system by finding the total area under the curve of the graph. This is because the area under the curve represents the work done on the block-earth system and work is a measure of energy.

What is a Graph?

The graph can be a position-time curve, velocity-time curve or acceleration-time curve. The student can calculate the total energy of the block-earth system using the work-energy principle which states that the net work done on an object is equal to the change in its kinetic energy. This is given by the equation

W = ΔK

Where W is the net work done, and ΔK is the change in kinetic energy.

If the potential energy of the block is considered, then the equation will be

W = ΔK + ΔPU

where ΔPU is the change in potential energy.

The total energy of the block-earth system will be the sum of its kinetic energy and potential energy at any point in time.

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what must the charge (sign and magnitude) of a particle of mass 1.45 g be for it to remain stationary when placed in a downward-directed electric field of magnitude 700 n/c ?

Answers

The charge (sign and magnitude) of a particle of mass 1.45 g must be for it to remain stationary when placed in a downward-directed electric field of magnitude 700 n/c is -1.029x10⁻⁴ C.

The magnitude of the charge must be equal to the magnitude of the electric field (700 n/c).

Therefore, we can write:-mg = qE

where, m = 1.45g = 1.45 x 10⁻³ kg

E = 700 N/cm = 1.45 x 10⁻³ kg x 9.81 m/s²

= 0.01419 N (Weight of the particle)

q = -1.029 x 10⁻⁴ C

To remain stationary when placed in a downward-directed electric field of magnitude 700 n/c, the charge (sign and magnitude) of a particle of mass 1.45 g must be negative.

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for external force convection calculation, the characteristic length for a circular cylinder or a sphere in a flow process over the surface is taken to be (where represents internal diameter and represents external diameter.) hint: pay attention to slide 6 and example 7.1 in the lecture notes. which characteristic length is used to characterize nu for a cylinder or a sphere?

Answers

The correct option is C, For external force convection calculation, the characteristic length for a circular cylinder or a sphere in a flow process over the surface is taken to be external diameter.

Diameter is a fundamental concept in geometry and mathematics that refers to the length of a straight line segment that passes through the center of a circle or sphere, and whose endpoints lie on the circle or sphere's circumference. In other words, it is the distance between any two points on the circle or sphere that pass through the center.

The diameter is an important property of a circle or sphere because it determines many other properties, such as the circumference, area, and volume. The diameter is also used in various engineering and scientific applications, such as determining the size of pipes, measuring the distance between two opposite points on a sphere or circle, and calculating the volume of spheres or cylinders.

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Complete Question: -

For external force convection calculation, the characteristic length for a circular cylinder or a sphere in a flow process over the surface is taken to be               (Hint: pay attention to slide 6 and example 7.1 in the lecture notes. which characteristic length is used to characterize nu for a cylinder or a sphere)

a. internal diameter

b. internal diameter/2

c. external diameter

d. external diameter/2

e. external diameter/6

TRUE or FALSE – Energy can be transferred from Kinetic Energy (KE) to Potential Energy (PE) and vice versa.

Answers

True, energy can be transferred from kinetic energy (KE) to potential energy (PE) and vice versa

Can energy be transferred from Kinetic Energy (KE) to Potential Energy (PE) and vice versa?

The principle of the conservation of energy states that energy cannot be created or destroyed but can only transferred or transformed from one form to another.

When an object is in motion, it has kinetic energy, and when it is at rest, it has potential energy.

When the object moves from a stationary position to a position in motion, some of its potential energy is converted into kinetic energy.

Conversely, when the object moves from a position in motion to a stationary position, some of its kinetic energy is converted into potential energy.

Hence, the statement is TRUE.

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you compress a piston full of gas and do 8.4 joules of work on it. if the internal energy (u) of the system increases by 3.3 joules, how much heat (in joules) left the system (give your answer as a positive number)?

Answers

The amount of heat that left the system is 11.7 joules (given as a positive number).

When a piston is compressed fully with gas and 8.4 joules of work is done on it, and the internal energy (u) of the system is increased by 3.3 joules, we need to determine the amount of heat that left the system.

To determine the amount of heat that left the system, we need to use the First Law of Thermodynamics, which states that the change in internal energy (u) of a system is the sum of the heat (q) added to it and the work (w) done on it, which can be represented as:

u = q + w

Where, u = Change in internal energy of the system

q = Heat added to the system

w = Work done on the system

From the given information, w = -8.4 J (since work was done on the system), and u = 3.3 J.

Therefore, substituting these values in the above equation, we get:

3.3 J = q + (-8.4 J)3.3 J + 8.4 J

q = 11.7 J

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From which terminal is electricity presumed to flow in conventional thought? How would the flow of electricity through the circuit be affected if the connections to the battery terminal are exchanged?

Answers

Answer: In conventional thought, electricity is presumed to flow from the positive terminal of a battery, through a circuit, and back to the negative terminal of the battery. If the connections of the battery terminals are exchanged, the flow of the electricity through the circuit would be reversed. The electrons would flow from the negative end of the circuit, and into the positive terminal of the battery. This is known as reverse polarity, and it can cause damage to electrical components that are not designed to handle current in this direction.

(a) which draws more current, a 100-w light bulb or a 75-w bulb? (b) which has the higher resistance, a 100-w light bulb or a 75-w bulb?

Answers

The final answer are resistance of a circuit is directly proportional to the power rating of the bulb. As a result, a 75-watt light bulb has a higher resistance than a 100-watt light bulb.

(a) A 100-watt light bulb draws more current than a 75-watt light bulb.

(b) A 75-watt light bulb has a higher resistance than a 100-watt light bulb. The current drawn by a circuit is directly proportional to the applied voltage and inversely proportional to the resistance of the circuit, as per Ohm's law.

As a result, the resistance of the light bulb can be determined by measuring the current flowing through it and the voltage across it. The resistance of a circuit is defined as the ratio of the voltage applied to the circuit to the current flowing through it.

Therefore, if we look at the above question, since the power of the bulb is proportional to the product of voltage and current, we can say that a 100-watt bulb would draw more current than a 75-watt bulb. This is due to the fact that the current drawn by the bulb is proportional to the power that the bulb can handle.

However, the resistance of a circuit is directly proportional to the power rating of the bulb. As a result, a 75-watt light bulb has a higher resistance than a 100-watt light bulb.

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a star simultaneously emits red light, blue light, x-rays, and radio waves in the direction of the earth. which will arrive first?

Answers

The answer is that the radio waves will arrive first at the Earth when a star emits red light, blue light, x-rays, and radio waves.

This is due to the fact that radio waves are long-wavelength electromagnetic radiation. As a result, they are less likely to be impeded or absorbed by the intervening space medium, and they can propagate without being affected by any other disturbances in the cosmos.

Furthermore, radio waves are not influenced by the earth's atmosphere, which is responsible for interfering with the passage of light rays to the surface of the earth. In other words, radio waves can traverse enormous distances in space without being obstructed or attenuated by any physical barrier.


Light rays, on the other hand, propagate via a straight line, which is known as the line of sight. Light rays may be deflected or absorbed by cosmic dust, gas clouds, or other materials found in interstellar space. This may cause them to travel in different directions, which might cause them to be redirected from their initial path. As a result, light rays must contend with these obstacles before reaching the earth, which may cause them to be weakened or distorted by the time they arrive.


Similarly, X-rays are also electromagnetic radiation but they are absorbed by interstellar matter. They are also affected by magnetic fields, and they might be redirected from their path as a result of the interstellar medium. This might cause them to be slowed down and travel a longer distance, making their journey longer.

Thus, radio waves will arrive first because of their long wavelength and low interaction with cosmic matter.

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Need help badly, please answer!

Answers

Answer:

i will change this answer when you attach a picture with it

Explanation:

describe an experiment you could perform to determine if the mass of a cart has any effect on the amount of energy needed to overcome friction

Answers

Answer:

You can perform an experiment to determine if the mass of a cart has any effect on the amount of energy needed to overcome friction. To do this, you will need a cart, something to put on the cart to increase its mass, a surface with a known coefficient of friction, a ruler or measuring tape, and a scale.


First, measure the distance the cart needs to travel over the surface. Then, measure the mass of the cart without any additional weight. Place the cart at the starting point of the measured distance and release it, timing how long it takes to travel the measured distance. Record this time and repeat this step three times.


Next, add a known mass to the cart and repeat the experiment, measuring how long it takes for the cart to travel the measured distance. Record this time and repeat this step three times. Finally, compare the times for the cart with and without the additional weight and note any differences.


This experiment can be used to determine if the mass of a cart has any effect on the amount of energy needed to overcome friction.



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a new block of mass m is used. this block is made of a material that makes an elastic collision with the rod when the block and rod collide. will the hiehgt h increase, decrease, or stay the same?

Answers

The height h will stay the same when a new block of mass m is used and makes an elastic collision.

Thus, the correct answer is to stay the same.

What is an elastic collision?

An elastic collision is a type of collision in which the total kinetic energy of two or more bodies involved in the collision is conserved. In this collision, the colliding bodies return to their initial state before the collision. That is, the total momentum and kinetic energy are conserved.

As a result, the initial and final energies of the system remain the same, implying that the height of the rod will stay the same as before. So, the height h will stay the same.

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if a 2000-kg car traveling at 30 m/s hits a wall and comes to a complete stop in 0.03 seconds, how much force was applied to the car?

Answers

If a 2000-kg car traveling at 30 m/s hits a wall and comes to a complete stop in 0.03 seconds the force that was applied to the car is 6,000,000 N

The force applied to the car can be calculated using the formula:

Force = (mass x change in velocity) / time

Here, the mass of the car is 2000 kg, the initial velocity is 30 m/s, the final velocity is 0 m/s (since the car comes to a complete stop), and the time taken is 0.03 seconds.

Substituting these values, we get:

Force = (2000 kg x (0 m/s - 30 m/s)) / 0.03 s

Force = -6,000,000 N

The negative sign indicates that the force is acting in the opposite direction to the motion of the car. So, the force applied to the car by the wall is 6,000,000 N.

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a 27.8 g marble sliding to the right at 21.0 cm/s overtakes and collides with a 13.9 g marble moving in the same direction at 11.5 cm/s. after the collision, the 13.9 g marble moves to the right at 23.9 cm/s. find the velocity of the 27.8 g marble after the collision.

Answers

When two marbles of different masses collide, their velocities will change depending on the masses and the collision force. In this case, the 27.8 g marble was traveling to the right at 21.0 cm/s and overtook the 13.9 g marble traveling in the same direction at 11.5 cm/s.

After the collision, the 13.9 g marble moved to the right at 23.9 cm/s. The velocity of the 27.8 g marble after the collision can be calculated by applying the conservation of momentum.

Momentum is the product of mass and velocity, and when two objects collide, the total momentum is conserved. This means that the sum of the momentum of the two marbles before the collision must be equal to the sum of the momentum after the collision.

Thus, the velocity of the 27.8 g marble after the collision can be calculated by subtracting the momentum of the 13.9 g marble after the collision from the momentum of the 27.8 g marble before the collision. The resulting velocity of the 27.8 g marble after the collision is 17.1 cm/s.

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g a cat with mass 4.50 kg is running at a speed of 6.70 m/s. what is the kinetic energy of the cat?

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The kinetic energy of the cat is 177.15 Joules.

The kinetic energy of the cat can be calculated using the formula K = 0.5mv2, where m is the mass and v is the velocity.

The cat has a mass of 4.50 kg and is running at a velocity of 6.70 m/s, so we can substitute these values into the formula to find the kinetic energy:

K = 0.5 * 4.50 kg * (6.70 m/s)2

K = 177.15 Joules

Kinetic energy is the energy possessed by an object due to its motion. It is calculated by multiplying half of the object's mass by its velocity squared.

The cat has a mass of 4.50 kg and is running at a velocity of 6.70 m/s, so its kinetic energy is 177.15 Joules.

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Hodan carried a box of (5,4)m. The box had a mass of 5kg. Hodan said that over 300J of work was done on the box. Is she correct, explain your answer​

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Answer:

hdjsigosorodcdjjgjejfiroodofohov jdjvjwigioeofe

any helping hand will be appreciated ^^

Psychologists have described the human nervous system as the communication and control center for the body. The nervous system allows us to take in information from the environment, communicate the information to different parts of the body, and coordinate the body's response. The nervous system itself is made up of neurons, or nerve cells, that communicate with each other by receiving and transmitting electrochemical signals, called neurotransmission. All human behavior is made possible by the activity of individual neurons working together in the nervous system. Think about a simple action you do every day, like answering your phone. When you perform this routine act, what are the individual neurons in your nervous system doing to make it possible?


a. Explain how the activity of individual neurons enables you to perform a simple action like answering your phone. Be sure to describe the main parts of a neuron, explain the unique function of each part, and describe how neurons use electrochemical signals for neurotransmission. Include details from class materials, readings, and research on the nervous system to support your discussion.​

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When you perform a simple action like answering your phone, the activity of individual neurons in your nervous system enables you to take in information from your environment and coordinate a response.

How neurons help us perform activities ?

When a neuron receives a signal from a dendrite, it generates an electrical impulse called an action potential, which travels down the length of the axon. At the end of the axon, the electrical signal triggers the release of neurotransmitters, which are chemical messengers that transmit the signal to other neurons or muscle cells.

The neurotransmitters bind to specific receptors on the dendrites of the next neuron or muscle cell, which generates a new electrical signal and starts the process over again. This process of neurotransmission allows for rapid communication and coordination between neurons, which is necessary for even simple actions like answering your phone.

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as the dyes get longer, two effects compete. equation (5) indicates that as n; increases, the absorption wavelength should decrease, but as l increases, the absorption wave length should increase which one wins? can you figure out why?

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The effect of increasing the length of the dye molecules on their absorption wavelength can be complex, as two competing effects are at play. Equation (5) would suggest that as the number of repeating units in the dye molecule, n, increases, the absorption wavelength should decrease.

However, as the length of the dye molecule, l, increases, the absorption wavelength should increase. Which effect will win out depends on the relative magnitude of the increase in l compared to the increase in n. If the increase in l is greater than the increase in n, then the absorption wavelength will increase, and vice versa.

Ultimately, the effect of increasing the length of the dye molecule on the absorption wavelength will depend on the specifics of the dye molecule, such as its composition and the size of the repeating units.

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calculate the force required to stop a car of mass 1400 kg in 2 seconds if it is moving with a velocity of 10 m/s.

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The force required to stop a car of mass 1400 kg in 2 seconds if it is moving with a velocity of 10 m/s is 7000 N in the opposite direction to the car's motion.

Calculate the force required to stop a car of mass 1400 kg in 2 seconds if it is moving with a velocity of 10 m/s.

To solve the given problem, we can use the equation:

F = (m * Δv) / Δt

where F = force

required to stop the carm = mass of the car Δv = change in velocity = final velocity - initial velocityΔt = time taken to stop the car.

Given, mass of the car, m = 1400 kg Initial velocity, u = 10 m/s Final velocity, v = 0 m/s Time taken to stop, t = 2 seconds Therefore, Δv = v - u = 0 - 10 = -10 m/s

Substituting the given values in the above equation, we get:

F = (m * Δv) / Δt = (1400 kg * (-10 m/s)) / (2 s) = -7000 N

Here, the negative sign indicates that the force required to stop the car is acting in the opposite direction to the car's motion.

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