in the above problem involving 1200 kg car a moving at 70 km/h rear ending 900 kg car b moving at 60 km/h, when car b accelerates to 70 km/h, what fraction of ke is lost by car a?

Answers

Answer 1

The fraction of kinetic energy lost by car a is 0.27.

What is acceleration?

Acceleration is the rate of change of an object's velocity over time. It is a vector quantity, meaning it has both magnitude and direction. Acceleration can be caused by a variety of factors, such as the application of a force, a change in mass, or a change in direction. It is measured in units of meters per second squared (m/s2). Acceleration is the rate of change in velocity, and is related to both speed and direction. When an object experiences a change in speed, it is also experiencing a change in direction and thus acceleration. Acceleration can be positive or negative, depending on the direction of the change in velocity. Positive acceleration indicates an increase in speed, while negative acceleration indicates a decrease in speed.

The fraction of kinetic energy lost by car a can be calculated using the equation KE = 1/2mv^2, where m is the mass and v is the velocity.
For car a, the initial kinetic energy is:
KEa = 1/2(1200 kg)(70 km/h)^2 = 294,000 J
For car b, the initial kinetic energy is:
KEb = 1/2(900 kg)(60 km/h)^2 = 216,000 J

When car b accelerates to 70 km/h, its kinetic energy increases to:
KEb' = 1/2(900 kg)(70 km/h)^2 = 294,000 J

The fraction of kinetic energy lost by car a can be calculated as the difference in kinetic energy between car a and car b divided by the initial kinetic energy of car a:
Fraction of KE lost by car a = (294,000 J - 216,000 J) / 294,000 J = 0.27
Therefore, the fraction of kinetic energy lost by car a is 0.27.

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Related Questions

Work done by STATIC FRICTION is alwaysO positive,O negative, O perpendicular to the surface along the surface. O Zero.

Answers

The right answer is (d). Static friction can cause a system to do positive, negative, or even zero work.

Does static friction ever produce zero work?

At essence, static friction can also be active when a body is in equilibrium, when there is no movement and no static frictional work to be done.

Can static friction provide useful results?

This is because our force is opposed by the force of static friction. However, since the block stays there, there is no displacement. Therefore, friction produces no work. Friction can therefore produce positive, negative, or no work.

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please help!!

A single constant force is exerted on an object. The graph describes the objects energy. How much work was done to increase the speed of the object from 1.0 m/s to 3.0 m/s?

A: 1.5 J
B: 2.0 J
C: 4.0 J
D: 4.5 J

please help!!A single constant force is exerted on an object. The graph describes the objects energy.

Answers

Answer:

C. 4.0 J

Explanation:

Work is equal to the change in kinetic energy or kinetic energy final - kinetic energy initial. 1/2 mv^2 is the equation for kinetic energy. SInce the mass is the same, you don't have to include it when solving. 1/2 times 1^2 = 1/2. 1/2 times 3^2 = 4.5. 4.5 - 0.5 = 4 J

The energy of motion is called ......

Answers

Answer:

kinetic energy

Explanation:

Look at the graph. During what interval is the object decelerating?
A) 0-1s
B)5-20s
C) 20-4
D)40-50s

Look at the graph. During what interval is the object decelerating?A) 0-1sB)5-20sC) 20-4D)40-50s

Answers

Answer:

D

Explanation:

because the slope decreases

Answer:

Should be D the correct answer

Explanation:

How long will it take a person walking at 2.1 m/s to travel 13 m?

Answers

Answer:

I gonna give you the number so but you need to round 6.19047619048

Explanation:

This is a speed formula so you would use the formula speed=distance/timeYou need to rearrange it to time=distance/speedSo you need to divide 13m by 2.1 m/s

A 65-year-old man's energy intake should focus on meals:a.) high in calories with nutrient-dense foodsb.) low in calories and high in fiber and meatc.) with a lower caloric density and increased nutrient densityd.) high calorie level for middle age with lowered nutrient density

Answers

A 65-year-old man's energy intake should focus on meals c.) with a lower caloric density and increased nutrient density

Calorie density represents a metric that is employed to determine how many calories are contained in a given amount of food. For a 65-year-old male, meals with a lower calorie density and a higher nutritional density would be ideal. People's metabolisms tend to slow down as they become older, so they need fewer calories.

To preserve their health, they still require enough nourishment, though. By choosing foods that are high in nutrients yet low in calories, such as fruits, vegetables, whole grains, lean proteins, and healthy fats, one may meet nutritional needs while limiting calorie intake. Adding more fibre to your diet can also help ya person to lose weight and maintain good digestive health.

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Give an example of experiment in the scientific method?​

Answers

Answer:

An example would be, “If I grow grass seeds under green light bulbs, then they will grow faster than plants growing under red light bulbs.” Experiment – The fun part!

Explanation:

have a nice day.

Working as a seismologist, you find the epicenter of many earthquakes in a region. What features of earth's crust would you expect to find in this region?

Answers

Answer:

Explanation:

As a seismologist studying earthquakes in a particular region, you might expect to find certain features of the earth's crust in that region that are indicative of tectonic activity. Some examples of these features include:

Fault lines: These are fractures in the earth's crust where two tectonic plates have moved relative to each other, often resulting in earthquakes when the movement is sudden and violent.

Folded mountain ranges: When tectonic plates collide, the resulting pressure can cause the earth's crust to fold and form mountain ranges.

Volcanoes: Many earthquakes occur in regions with volcanic activity, as the movement of magma beneath the earth's surface can cause the ground to shake.

Plate boundaries: The boundary between two tectonic plates is often a zone of high seismic activity, as the plates grind against each other and cause earthquakes.

Seismic gaps: Some areas along a fault line may have experienced few or no earthquakes in recent history, and are therefore considered "seismic gaps." These areas may be more prone to earthquakes in the future as the pressure builds up.

By studying these and other features of the earth's crust, you can gain a better understanding of the underlying tectonic processes that contribute to earthquakes in the region.

At time t = 0, a static object at position x = 0 starts to move such that its position x(t) satisfies the equation
d^2x/dt^2 + dx/dt = te^-t
Using Laplace Transforms, determine the function x(t)

Answers

Based on the above illustration, the required function is `x(t) = t²e⁻ᵗ / 2`.

Given: The equation is, `d²x/dt² + dx/dt = te⁻ᵗ`.

Required:

Find `x(t)` using Laplace Transforms.

Let us apply the Laplace transform to both sides of the equation.

d²x/dt² → s² X(s) - s x(0) - x'(0)dx/dt → s X(s) - x(0)x(0) is 0 as the object starts from rest.

Putting the given value, `d²x/dt² + dx/dt = te⁻ᵗ` in the Laplace transform of the equation, we get (s² X(s) - s x(0) - x'(0)) + (s X(s) - x(0)) = 1 / (s + 1)²

On solving the above equation for `X(s)`, we get `X(s) = 1 / (s + 1)³`

On taking the inverse Laplace transform, we get, `x(t) = t²e⁻ᵗ / 2`

Hence, the required function is `x(t) = t²e⁻ᵗ / 2`.

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how do mass and distance affect the force of gravity?

Answers

\(\color{Black}\huge{Answer} \)

The force of gravity depends directly upon the masses of the two objects, and inversely on the square of the distance between them. This means that the force of gravity increases with mass, but decreases with increasing distance between objects.

I need answers, do your thing,

Theres also a question at the bottom asking to find the escape velocity at the surface if the moon in mph.

I don’t need breakdowns or explanations, just answers.

I need answers, do your thing,Theres also a question at the bottom asking to find the escape velocity

Answers

Because the acceleration caused by gravity affects escape velocity. Therefore, the moon's escape velocity must be lower than that of the earth. Moreover, due to a lower escape velocity.

What is the escape velocity of Earth?

Ve therefore equals 11.2 km/s x 103 m/s. On Mars, the escape speed is approximately 40,270 kmph, or 11,186 m/s. For instance, when a rocket is used to propel a spacecraft into orbit, the velocity obtained must be higher than the orbital speed to prevent the rocket from returning to Earth.

Escape velocity: What is it?

Escape velocity is indeed the bare minimum speed at which a body must be propelled in order to escape the earth's gravitational pull. The smallest speed at which an object must move in order to escape the gravity field is.

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An oven has two 36 ohm elements connected in parallel and 240 V applied. What would the current be in the circuit? Select one: O a. 6.67 Amps O b. 3.33 Amps O c. 1.67 Amps Od. 13.3 Amps

Answers

The current in the circuit would be approximately 13.33 Amps.

To find the current in the circuit, we can use Ohm's Law, which states that the current (I) flowing through a circuit is equal to the voltage (V) divided by the resistance (R).

In this case, the resistance of each element is 36 ohms, and they are connected in parallel. When resistors are connected in parallel, the total resistance (Rt) can be calculated using the formula:

1/Rt = 1/R1 + 1/R2 + 1/R3 + ...

1/Rt = 1/36 + 1/36

1/Rt = 2/36

1/Rt = 1/18

Rt = 18 ohms

To calculate the current (I) in the circuit, we can use Ohm's law:

I = V / Rt

I = 240 V / 18 ohms

I ≈ 13.33 Amps

The correct option is d. 13.3 Amps.

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Opera singer Caruso is said to have a made a crystal chandelier shatter with his voice. This is a demonstration of which effect?
A. an echo
B. beats
C. resonance
D. sound refraction

Answers

Opera singer Caruso is said to have a made a crystal chandelier shatter with his voice. This is a demonstration of resonance.

The shattering of a crystal chandelier with a voice is an example of resonance. Resonance occurs when an object is forced to vibrate at its natural frequency by a sound wave with the same frequency. In this case, Caruso's voice produced sound waves that matched the natural frequency of the chandelier, causing it to vibrate and eventually shatter. Therefore, the answer is C. resonance.

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calculate the amount of energy needed to take 34g of ice at -2°C to 118°C​

Answers

Answer:

Q = 8608.8 J

Explanation:

Given that,

The mass of ice, m = 34 g

The temperature changes from -2°C to 118°C​.

The specific heat of ice, c = 2.11 J/g°C

The heat energy needed,

\(Q=mc\delata T\\\\Q=34\times 2.11\times (118-(-2))\\Q=8608.8\ J\)

So, 8608.8 J of energy is needed.

The school bus slows from 60 km/h to 40 km/h when entering the school zone.
Given that this change of speed occurred over 8 seconds, calculate the average deceleration of the bus.

Answers

To calculate the average deceleration of the bus, we can use the following formula:

Average deceleration = (Final velocity - Initial velocity) / Time taken

Here, the initial velocity (v1) is 60 km/h, the final velocity (v2) is 40 km/h, and the time taken (t) is 8 seconds. To make the units consistent, we'll convert the velocities from km/h to m/s.

1 km/h = 1000 m / 3600 s = 5/18 m/sv1 = 60 km/h * (5/18) = (60 * 5) / 18 = 50/3 m/s v2 = 40 km/h * (5/18) = (40 * 5) / 18 = 100/9 m/s

Now, we can plug the values into the formula:

Average deceleration = (v2 - v1) / t Average deceleration = ((100/9) - (50/3)) / 8

Now, we'll find a common denominator for the fractions and simplify:

Average deceleration = ((300 - 450) / 27) / 8 = (-150 / 27) / 8Lastly, we'll divide the fraction by 8:Average deceleration = -150 / (27 * 8) = -150 / 216

So, the average deceleration of the bus is approximately -150/216 m/s².

Which statement describes the location of an earthquake’s epicenter? It is located using a single set of data. It is determined by the depth of the focus. It is determined by the arrival time of surface waves. It is located at the point where circles intersect on a map.

Answers

Answer:

It is located at the point where circles intersect on a map.

Explanation:

The name 'EPICENTER' was formed by a seismologist from Ireland can Robert Mallet.

An epicenter of an earthquake can be defined as the exact point in the center where as earthquake originated from.

An epicenter of an earthquake can also be defined as the point that is located directly above the focal point of an earthquake.

In other to be able to accurately determine the exact place where an earthquake happens, seismologist try to find out the distance of the earthquake from at least three seismic recording stations. The distance of the earthquake is obtained from a an equipment used by seismologist called seismograph. After obtaining the values if this distance, circles with the right radius are then drawn around each station. The point where the three circles meet or intersect shows us the earthquake's epicenter.

The statement which describes the location of an earthquake’s epicenter is: D. It is located at the point where circles intersect on a map.

An earthquake can be defined as a sudden, natural shaking of the ground, as a result of movements within the Earth's crust and upper mantle (lithosphere) that typically creates seismic waves.

A seismograph refers to an instrument that is designed and developed for detecting, monitoring and recording the direction, duration and magnitude (intensity) of an earthquake in a geographical location on planet Earth.

An epicenter is the point on the surface of planet Earth, which is perpendicular to the hypocenter (focus) and it indicates where the seismic waves from an earthquake are most intense.

On a map, an earthquake’s epicenter is located at the point where the three (3) circles intersect because earthquake are generally shallow.

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Which statement describes the location of an earthquakes epicenter? It is located using a single set

Explain why the acceleration of two freely-falling objects having different masses is the same. Is the force on each mass the same?

Answers

When two freely-falling objects with different masses are in free fall, their acceleration is the same due to gravity.

This occurs because gravity acts uniformly on all objects, regardless of their mass. In this context, the acceleration due to gravity is approximately 9.81 m/s² on Earth.

The relationship between mass, acceleration, and force can be explained using Newton's second law of motion, which states that the force (F) acting on an object is equal to its mass (m) multiplied by its acceleration (a):

F = m * a

Although the acceleration is the same for both objects, the force on each mass is not the same. Since the two objects have different masses, the force acting on each object will also be different, as per the equation above.

The object with the larger mass will experience a greater force due to gravity, while the object with the smaller mass will experience a lesser force.

In summary:

1. The acceleration of two freely-falling objects with different masses is the same because gravity acts uniformly on all objects.

2. The force on each mass is not the same, as it depends on the mass of the object according to Newton's second law of motion (F = m * a).

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Bu lasarati pushes the trycicle with a force of 20 N so that it moves 10m in the direction of the force. The effort made by Mrs. Lasarati amounts to...

Answers

Answer:

200 J

Explanation:

Given that,

Force, F = 20 N

Distance covered in the direction of force, d = 10 m

We need to find the effort made by Mrs. Lasarati. It  will be given by :

W = Fd

W = 20 N × 10 m

W = 200 J

So, the required effort made by Mrs. Lasarati is 200 J.

A 20 kg kid slides down a playground slide with a vertical drop of 3.2 m. When the kid reaches the bottom of the slide, their speed is 1.3 m/s.
(a) How much energy was dissipated by friction?

Answers

We can use the principle of conservation of energy to find the energy dissipated by friction.So the amount of energy dissipated by friction is approximately 610 J.

The energy dissipated by friction can be calculated using the work-energy principle, which states that the work done by all forces on an object is equal to the change in its kinetic energy. Since the kid starts from rest at the top of the slide and reaches a speed of 1.3 m/s at the bottom, the change in kinetic energy o find the work done by friction, we need to subtract the work done by gravity from the total work done:W_friction = W_total - W_gravity where W_gravity = mgh is the work done by gravity, m is the mass of the kid, g is the acceleration due to gravity, and h is the height of the slide.

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Which has greater kinetic energy: a bowling ball that has a mass of 5 kg travelling at 6 m/s, or a ship that has a mass of 120000 kg and is moving at 0.02 m/s?

Answers

Answer:

The bowling ball has greater kinetic energy.

Explanation:

Kinetic energy is given by:

\( K = \frac{1}{2}mv^{2} \)

Where:

m: is the mass

v: is the speed

For the bowling ball we have:

\(K = \frac{1}{2}mv^{2} = \frac{1}{2}5 kg*(6 m/s)^{2} = 90 J\)

And for the ship:

\(K = \frac{1}{2}mv^{2} = \frac{1}{2}120000 kg*(0.02 m/s)^{2} = 24 J\)

Therefore, the bowling ball has greater kinetic energy.

I hope it helps you!

The loaded cab of an elevator has a mass of 3.0 x 10 3 kg and moves 200 m up the shaft in 20 s at constant speed. At what average rate does the cable do work on the cab

Answers

The average rate at which the cable does work is 294,000 J/s.

The given parameters:

mass, m = 3000 kgheight, h = 200 mtime of motion, t = 20 s

The average rate at which the cable does work is calculated as follows;

\(P = \frac{E}{t} \\\\P = \frac{mgh}{t} \\\\P = \frac{3000 \times 9.8 \times 200}{20} \\\\P = 294,000 \ J/s\)

Thus, the average rate at which the cable does work is 294,000 J/s.

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A ball is thrown horizontally from the top of
a building 51 m high. The ball strikes the
ground at a point 120 m from the base of the
building.
The acceleration of gravity is 9.8 m/s
2
.
Find the time the ball is in motion.
Answer in units of s.
If the time the ball is in motion is 3.22617 s
Find the initial velocity of the ball.
Answer in units of m/s.

Answers

Answer:

whattt

Explanation:

sorry dear I did not understand

PLSSSSSSSS SOMEONE HELP ME WITH THIS ONE!!

PLSSSSSSSS SOMEONE HELP ME WITH THIS ONE!!

Answers

Answer:

D

Explanation:

At the other end of the spectrum toward red, the wavelengths are longer and have lower energy.

Which of these is evidence of global warning?
A) Rising global temperatures
B) An overall decrease in sea levels
C) Stable precipitation patterns
D) An increase in the size of glaciers

Answers

Answer:

D

Explanation:

because the glaciers melt adding more water into the sea which make the sea levels rise.

What distance does a rocket travel flying for 5 seconds at 100m/s?

Answers

Answer:

500m

Explanation:

100x5=500

then add the m

Particle A and particle B are held together with a compressed spring between them. When they are released, the spring pushes them apart and they then fly off in opposite directions, free of the spring. The mass of A is 2.00 times the mass B, and the energy stored in the spring was 121 J. Assume that the spring has negligible mass and that all the stored energy is transferred to the particles. Once that transfer is complete, what are the kinetic energies of each particles?
a ) ans: .............J (particle A)
b) ans: .............. J (particle B)

Answers

A The kinetic energy of particle A is 96.8 J.

b- The kinetic energy of particle B is 24.2 J.

The mass of particle A is 2.00 times the mass of particle B, we can represent the masses as mA = 2mB.

mA = 2mB

Total energy stored in the spring = 121 J

Let KA be the kinetic energy of particle A and KB be the kinetic energy of particle B.

From the mass ratio:

KA = (mA/mB)² × KB

KA = (2)² × KB = 4KB

Energy conservation equation:

KA + KB = 121 J

Substituting the value of KA:

4KB + KB = 121 J

5KB = 121 J

KB = 121 J / 5 = 24.2 J

Substituting this value back into the equation for KA:

KA = 4KB = 4 × 24.2 J = 96.8 J

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A car travels 100 kilo metre due east in 2 hours. it then travels 50 kilo metre south in hour. what is its average velocity?

Answers

average velocity= displacement/time
=100-50/2-1
=50 m/s

-25 μC are placed 1.0 m apart. What is the electric field at a point Point charges q,-50 μC and q midway between them? Select the correct answer O E-1.75 × 106 N/C towards qǐ E 2.50 x 10 N/C towards Your Answer 92 O E-4.80 x 106 N/C towards O E-2.00 × 106 N/C towards q1 ( E-2.70 × 106 N/C towards q

Answers

To determine the electric field at a point between two point charges, we can use Coulomb's law. Coulomb's law states that the electric field at a point due to a point charge is given by the equation:

E = k * (q /\(r^2\)),

where E is the electric field, k is the electrostatic constant (9 x\(10^9\)\(N·m^2/C^2\)), q is the charge, and r is the distance between the point charge and the point where the electric field is being measured.

In this case, we have two point charges: q1 = -25 μC and q2 = -50 μC, and they are placed 1.0 m apart. We want to find the electric field at a point midway between them.

First, let's calculate the electric field due to q1 at the midpoint. Using Coulomb's law, we have:

E1 = k * (q1 /\(r^2)\) = (9 x\(10^9\) N·m^2/C^2) * (-25 x\(10^{-6}\)C) / (0.5 m)^2 = -2.70 x 10^6 N/C towards q1.

Next, let's calculate the electric field due to q2 at the midpoint. Since q2 is twice the charge of q1, we expect the electric field to be twice as strong as that of q1:

E2 = 2 * E1 = 2 * (-2.70 x \(10^6\)N/C) = -5.40 x \(10^6\) N/C towards q1.

To find the total electric field at the midpoint, we add the electric fields due to q1 and q2:

\(E_total\) = E1 + E2 = -2.70 x \(10^6\)N/C + (-5.40 x \(10^6\) N/C) = -8.10 x\(10^6\) N/C towards q1.

Therefore, the correct answer is -8.10 x \(10^6\) N/C towards q1.

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A car slides to a stop after traveling 7.9m in 0.6s. determine the initial velocity of the car in m/s if it comes to a stop

Answers

Answer:

Approximately 26.33 m/s.

Explanation:

We can apply one of the four kinematic equations:

\(\displaystyle \Delta d = \frac{1}{2}\left( v_f + v_i\right)t\)

Since the car slides to a stop after traveling 7.9 meters in 0.6 seconds, Δd = 7.9, t = 0.6, and v_f = 0. Substitute and solve for v_i:

\(\displaystyle \begin{aligned} (7.9 \text{ m}) &= \frac{1}{2}\left((0\text{ m/s}) + v_i)(0.6\text{ s}) \\ \\ v_i &=\frac{79}{3} \text{ m/s} \approx 26.33 \text{ m/s} \end{aligned}\)

In conclusion, the initial velocity of the car is about 26.33 m/s.

You get hit in the head with a baseball as it is falling. What are the action and reaction forces?

NEED NOW ASAP

Answers

Answer:

Action: Gravity pulls on the ball.

Reaction: The ball falls to the ground.

Explanation:

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