two carts of masses 1 kg and 2 kg travel together, as shown in Figure 1. At time t = 2s, a compressed spring inside the 2kg cart expands, and the carts seperate. Figure 2 shows a graph of the carts' velocities as a function of time. What is the magnitude of the change in linear momentum, if any, of the two cart system between t = 0s and t = 4s.

The displacement of a car that travels 20 km west and then 5 km east is 5 km west. Displacement is a measure of the change in position of an object, and it is calculated by taking the final position of the object and subtracting its initial position. In this case, the car starts at an initial position and travels 20 km west, so its final position is 20 km west of its starting point. Then, the car travels 5 km east, which brings it back to its starting point. Therefore, the displacement of the car is 5 km west, as it has moved 5 km west of its starting point during its journey.

The speeds of the vertically launched sphere and horizontally launched sphere will not necessarily be the same when they hit the floor, even if they are launched from the same height and at the same initial speed.

When a sphere is launched vertically upwards, it will slow down due to the force of gravity acting against it, until it reaches the highest point of its trajectory and momentarily stops. Then, it will accelerate back downwards towards the ground, increasing in speed until it hits the floor. The speed at which it hits the floor will depend on its initial speed, the height it was launched from, and the acceleration due to gravity.

On the other hand, when a sphere is launched horizontally, it will continue to move at a constant speed in the horizontal direction, while also being accelerated downwards due to the force of gravity. The resulting motion is a projectile motion with a parabolic trajectory. The speed at which it hits the floor will depend on its initial horizontal speed, the height it was launched from, and the acceleration due to gravity.

Therefore, the speeds of the vertically and horizontally launched spheres when they hit the floor will depend on a variety of factors and cannot be determined without more information about the specific conditions of the launches.

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Answer:

Acceleration is 0. Acceleration is the change in velocity over time, so if acceleration is 0, the change in velocity is 0 no matter how much time passes. THIS DOES NOT MEAN VELOCITY IS 0. it only means that velocity is constant. In other words, the speed of motion will not change

Explanation:

If you change the source of wavelength to a longer wavelength (e.g. 600 nm), the distance between the zero order maximum and the third order maximum will decrease, since the numerator (λ) has increased.

The distance between the zero order maximum and the third order maximum in a diffraction pattern depends on the wavelength of the light and the size of the diffraction grating.

If you change the source wavelength from a shorter wavelength to a longer wavelength, the distance between the zero order maximum and the third order maximum will decrease. This is because the distance between the maxima in a diffraction pattern is inversely proportional to the wavelength of the light.

In mathematical terms, if 'd' is the distance between the maxima, 'λ' is the wavelength, and 'n' is the order of the maximum, then the relationship between these quantities is given by:

d = λ / (n × sinθ)

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Answer:

Momentum

Explanation:

If we change how fast an object is going and change its mass, then we have changed its momentum.

The momentum of body is the quantity of motion such a body can possess.

It is mathematically expressed as:

   Momentum  = mass x velocity

Therefore, if we vary mass and velocity or either of them, then, the momentum of the object will also change.

Mass and velocity is very crucial to the momentum of a body.

Answer:

Most pneumonia occurs when a breakdown in your body's natural defenses allows germs to invade and multiply within your lungs.

Explanation:

Answer: 20 N

Explanation: Net force is the sum of all forces acting on an object. For example, in a tag of war, when one team is pulling the tag with a force of 100 N and the other with 80 N, the net force would be 20 N at the direction of the first team (100 N - 80 N = 20 N).

Answer: The size of an object and the distance between the objects.

Explanation: Gravity is affected by the size of an object and the distance between the objects. When the mass of an object increases the force of gravity increases as well. If an object's weight is greater than the other object's weight, then the object with the greater weight will land first.

Answer:

The factors that affect gravitation are

Explanation:

Gravity is the force that gives weight to objects and causes them to fall to the ground when dropped. Two major factors, mass and distance, affect the strength of gravitational force on an object. You witness the first factor in everyday life - more massive objects are heavier. The second factor, distance, is less familiar, as it takes a distance of many thousands of kilometers to significantly weaken the pull of Earth's gravity. Newton's law of gravitation describes very accurately how mass and distance affect the force of gravity.

Answer:

It’s fun

Explanation:

If a person sitting on the outer edge of a merry-go-round travels at a greater speed than a person sitting near the center because the linear velocity is a product of the angular velocity and the perpendicular distance from the center .

It is defined as motion when the object is moving in a circle with a constant speed and its velocity is changing with every moment because of the change of direction but the speed of the object is constant in a uniform circular motion .

Because the linear velocity is a function of the angular velocity and the perpendicular distance from the center .

Thus, the person seated on the outside edge of a merry-go-round will move more quickly than a person seated near the center .

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Answer:

The importance of international bureau of weights and measures are;

1. to bring unification of measurement system.

2. to establish and preserve fundamental international prototypes.

3. to verify national standards, etc.

Answer:

A

Explanation:

Chemical is a reaction between 2 things signs of that would be a new color, a new substance formed, or any sign of bubbles/smoke etc. while physical changes are done on purpose such as ripping a paper or cutting a log in half! hope that helped

The acceleration of the cheetahs in the standard international units would be 8.938 meters/second².

The rate of change of the velocity with respect to time is known as the acceleration of the object.

As given in the problem a cheetah goes from standing still to running at 60  miles per hour in 3 seconds

1 mile = 1609 meters

60 miles = 60×1609 meters

               =96540 meters

1 hour = 3600 seconds

the initial velocity of the cheetah = 0

the final velocity of the = 96540/3600

                                      =26.8166 meters/seconds

acceleration = (final velocity - initial velocity) /time period

                    =(26.8166 -0)/3

                    =8.938 meters/second²

Thus, the cheetah's acceleration would be 8.938 meters/second².

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Answer:

a luminous ball of plasma

The answers are- (a) 2 soft drinks. (b) Uncertain. (c) Not necessarily.

(d) No bliss point. and, (e) Steeper indifference curves.

(a) If Elmo has 4 quarters and 2 dimes in his pockets, he can buy 2 soft drinks. Since each soft drink requires two quarters and a dime, having double the amount of each coin allows him to make two purchases.

(b) Elmo's preferences between dimes and quarters may or may not be convex. Convex preferences imply that as Elmo increases the quantity of one type of money (quarters or dimes), the marginal utility he derives from each additional unit of that money diminishes. If Elmo's preference for soft drinks is based solely on the ability to purchase them and not on any diminishing marginal utility of the coins themselves, then his preferences may not exhibit convexity.

(c) Elmo does not necessarily always prefer more of both kinds of money to less. Given the specific context of the Coke machine, Elmo's only concern is to have the exact change required to obtain a soft drink. As long as he has the necessary combination of two quarters and a dime, having additional coins does not increase his utility further.

(d) Elmo does not have a bliss point in this scenario. A bliss point refers to the combination of goods or factors that maximizes an individual's utility or satisfaction. Since Elmo's sole objective is to purchase soft drinks from the Coke machine, his utility is maximized when he has the exact change required (two quarters and a dime). Having more coins does not enhance his utility beyond being able to buy a single soft drink.

(e) If Elmo had arrived at the Coke machine on a Saturday, with the drugstore across the street open, his preferences would change. Instead of being limited to the specific combination of two quarters and a dime, he could now use any combination of quarters and dimes to purchase as much Coke as he wants at a price of 4 cents per ounce.

In this case, Elmo's indifference curves between quarters and dimes would exhibit a downward slope, indicating that he is willing to trade off some quantity of one coin for a corresponding increase in the other, while still maintaining the same level of utility. The indifference curves would be steeper than the ones in the previous scenario, as Elmo can now acquire more soft drinks by having a larger combination of quarters and dimes.

These new indifference curves reflect Elmo's preference for more quarters and dimes, as they enable him to buy more Coke at the drugstore. The curves demonstrate that Elmo is willing to sacrifice some quantity of quarters to obtain additional dimes or vice versa, as long as the overall combination allows him to maximize the quantity of Coke he can purchase.

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Answer:

2.205 pounds

Explanation:

5.5 kg is 2.205 lbs. hope this helps!

Answer:

Cold temps. . .

Explanation:

Hope it helps!

Answer:

  C.  16.3 m/s

Explanation:

You want to know the final velocity of the combined mass of a 2130 kg car at 21.5 m/s after collision with a 2240 kg car at 11.4 m/s in the same direction. Momentum is conserved.

The momentum of each object is the product of its mass and velocity. When momentum is conserved, the momentum of the mass after the collision is the same as that before the collision.

  m1·v1 +m2·v2 = (m1 +m2)·v3

Then the velocity after the collision is ...

  v3 = (m1·v1 +m2·v2)/(m1 +m2)

You may recognize this as the weighted average of the initial velocities, where the weights are the respective masses of the objects.

  v3 = (2130·21.5 +2240·11.4)/(2130 +2240) ≈ 16.3

The final velocity is 16.3 m/s, matching choice C.

Answer:the car is speeding up

Explanation:

Please find attached photograph for your answer.

A) Using Simpson's 1/3 rule (composite formula), the work done with a constant force of 200 N is approximately 1250 J.

B) Using the MATLAB function trapz, the work done is approximately 7750 J.

Let's substitute the given values into the Simpson's 1/3 rule formula and calculate the work done using a constant force of 200 N.

A) Force (F) = 200 N (constant for all t)

Velocity (v) = 4t (0 ≤ t ≤ 5) and v = 20 + (5 - t)² (5 ≤ t ≤ 15)

Step size (h) = 0.25

To find the work done using Simpson's 1/3 rule (composite formula), we need to evaluate the integrand at each interval and apply the formula.

Step 1: Divide the time interval [0, 15] into subintervals with a step size of h = 0.25, resulting in 61 equally spaced points: t0, t1, t2, ..., t60.

Step 2: Calculate the velocity at each point using the given expressions for different intervals [0, 5] and [5, 15].

For 0 ≤ t ≤ 5: v = 4t For 5 ≤ t ≤ 15: v = 20 + (5 - t)²

Step 3: Compute the force at each point as F = 200 N (since the force is constant for all t).

Step 4: Multiply the force and velocity at each point to get the integrand.

For 0 ≤ t ≤ 5: F * v = 200 * (4t) For 5 ≤ t ≤ 15: F * v = 200 * [20 + (5 - t)²]

Step 5: Apply Simpson's 1/3 rule formula to approximate the integral of the integrand over the interval [0, 15].

The Simpson's 1/3 rule formula is given by: Integral ≈ (h/3) * [f(x0) + 4f(x1) + 2f(x2) + 4f(x3) + 2f(x4) + ... + 4f(xn-1) + f(xn)]

Here, h = 0.25, and n = 60 (since we have 61 equally spaced points, starting from 0).

Step 6: Multiply the result by the step size h to get the work done.

Work done: 1250 J

B) % Define the time intervals and step size

t = 0:0.25:15;

% Calculate the velocity based on the given expressions

v = zeros(size(t));

v(t <= 5) = 4 * t(t <= 5);

v(t >= 5) = 20 + (5 - t(t >= 5)).^2;

% Define the force value

F = 200;

% Calculate the work done using MATLAB's trapz function

\(work_t_r_a_p_z\) = trapz(t, F * v) * 0.25;

% Display the result

disp(['Work done using MATLAB''s trapz function: ' num2str(\(work_t_r_a_p_z\)) ' J']);

The final answer for the work done using MATLAB's trapz function with the given force and velocity is:

Work done using MATLAB's trapz function: 7750 J

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If the current through the resistor is 2.80 A the terminal voltage of the battery is 23.2 V.

We can use Ohm's law to find the voltage drop across the resistor:

V = IR

Where V is the voltage drop, I is the current through the resistor, and R is the resistance.

Substituting the given values, we get:

\(V = (2.80)*(4.00) = 11.2 V\)

This is the voltage drop across the resistor. The voltage across the battery terminals will be higher than this by the amount of the battery's internal resistance, which we can assume to be negligible. Therefore, the terminal voltage of the battery is:

\(V_{Ter} = V + V_r\)

Where \(V_r\) is the voltage drop across the resistor.

\(V_{Ter}= 11.2 V + 12.0 V = 23.2 V\).

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Answer:

A

Explanation:

Answer:

Distance divided by time

Explanation:

A proton and electron separated by 1.0 x 10-10 meters exert 1.0 x 10-47N of gravitational force on each other.

The gravitational force will bring together any two mass-containing objects. The gravitational force is described as attracting because it consistently tries to draw masses together and never tries to push them apart. In reality, you and every other item in the universe are pulling toward one another.

What is the origin of gravity?

All of the mass on Earth is what creates gravity. The cumulative gravitational attraction of all of its mass exerts pressure on all of the body's mass. Your weight is determined by that. Furthermore, your weight would be lower if you were on a planet with a lower mass than Earth.

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The efficiencies of the Carnot and the Stirling cycles would be the same, but the efficiency of the Otto cycle would be less.

The Carnot cycle is a theoretical thermodynamic cycle that is often used as a benchmark for the efficiency of heat engines. It was developed by French physicist Sadi Carnot in the early 19th century and is based on the idea of a reversible engine, which can be thought of as an idealized engine that operates with no energy losses.

The Carnot cycle consists of four reversible processes: isothermal expansion, adiabatic expansion, isothermal compression, and adiabatic compression. The cycle operates between two heat reservoirs, one at a higher temperature and one at a lower temperature. The engine absorbs heat from the high-temperature reservoir during the isothermal expansion process, converts some of the heat to work during the adiabatic expansion process, rejects heat to the low-temperature reservoir during the isothermal compression process, and finally converts some of the remaining heat to work during the adiabatic compression process.

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Open, flat, and closed universes are the three forms of expanding universes that are theoretically possible. The universe would always grow if it were open.

If the universe were flat, it would also continue to expand indefinitely, but the rate of growth would eventually reduce to zero.

One is the red-shift phenomenon, which shows that the cosmos is expanding. Cosmic microwave background radiation is the second type. The universe's abundance of various elements is the third.

The majority of astronomers think that dark energy is a type of substance with an inverse gravity that repels matter from its vicinity.

Therefore, According to scientific theories, this is what is causing the universe to expand and to push stars, planets, and galaxies apart.

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Answer:

The force of gravitation is 1.98×10^(20) m.

Explanation:

Note: The value of m1, m2, r, and G is taken to be 5.97×10^(24) kg, 7.348×10^(22) kg, 3.84×10^(8) m, and 6.67×10^(-11) N m^2/ kg^2 respectively.

The force of gravitation F acting between two masses is calculated using the formula,

F=Gm1m2/ r^2

where G is the gravitational constant.

Hence force F is

F=6.67×10^(-11)×5.97×10^(24)×7.348×10^(22)/ (3.84×10^(8))^2

F=1.98×10^(20) N

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These are the four largest moons of Jupiter and are collectively known as the Galilean moons. They were discovered by Galileo Galilei in 1610 and are named after characters from Greek mythology. Europa, Ganymede, Io, and Callisto are all fascinating celestial bodies with unique features and scientific significance

Europa is known for its subsurface ocean that may harbour conditions suitable for life, Ganymede is the largest moon in the solar system, Io is the most volcanically active object in the solar system, and Callisto is heavily cratered and geologically diverse. These moons have been studied extensively by spacecraft missions such as NASA's Galileo and Juno missions, providing valuable insights into the nature of Jupiter's moons and their geological processes. The major moons of Jupiter are Europa, Ganymede, Io, and Callisto. The major moons of Jupiter are Europa, Ganymede, Io and Callisto.

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Answer:

0.08

Explanation:

this problem assume that both of whale and submarine are in rest position or in constant linier motion in same direction and same speed.

The sound will travel from Submarine to the whale and back again to submarine. so the time will be like this

t = 2d/v

t = 2*58.8/1520

t = 117.6/1520

t = 0.077368 s

t ≈ 0.08 s (less then 1 s)

Answer:

0.0774s

Explanation:

The formula to find the time of an echo is time = (2)(distance) / (velocity)

So plug in the numbers to the formula

(2)(58.8) / (1520)

= 0.0774s

Answer:

49.06 Newtons

Explanation: Using Newton's Second Law of Physics, F=ma

the mass of the car is 22.3kg and the acceleration of the object is 2.2m/s^2 then you would multiply the two and get 49.06 Newtons. You want the acceleration to be in m/s^2