a toy rocket has a momentum of 150 kg*m/s, and a velocity of 30 m/s. Calculate the MASS:​

Answer:

Central City is the county seat and the most populous municipality of Gilpin County. The city is a historic mining settlement founded in 1859 during the Pike's Peak Gold Rush and came to be known as the "Richest Square Mile on Earth".

We will have that the flux density will be:

The angle of elevation of the shell must be approximately 25.840° in order to have a reach of 20 kilometers.

The shell experiments a parabolic motion, which is a combination of horizontal uniform motion and vertical uniform accelerated motion. If initial height of the shell is the same that its final height, then the range of the shell (\(d\)), in meters, is described by the following expression:

\(d = \frac{v^{2}}{g}\cdot \sin 2\theta\) (1)

Where:

If we know that \(v = 500\,\frac{m}{s}\), \(g = 9.807\,\frac{m}{s^{2}}\) and \(d = 20000\,m\), then the angle of elevation is:

\(\sin 2\theta = \frac{d\cdot g}{v^{2}}\)

\(\theta = \frac{1}{2}\cdot \sin^{-1} \frac{d\cdot g}{v^{2}}\)

\(\theta = \frac{1}{2}\cdot \sin^{-1} \frac{(20000\,m)\cdot \left(9.807\,\frac{m}{s^{2}} \right)}{\left(500\,\frac{m}{s} \right)^{2}}\)

\(\theta \approx 25.840^{\circ}\)

The angle of elevation of the shell must be approximately 25.840° in order to have a reach of 20 kilometers.

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a. The utility function U(x, y) = x + 2.67y represents Thirsty Ed's utility based on the quantities of 0.15-liter and 0.4-liter containers consumed. Indifference curves can be plotted by fixing utility levels and identifying combinations of x and y that yield the same utility.

b. Ed's budget line, I = pxx + pyy, considers his income (I) and the prices of the 0.15-liter container (px) and the 0.4-liter container (py). The demand for x will be zero if px/py > 0.15/0.4, indicating the prices at which Ed will not purchase any 0.15-liter containers.

a. The utility function for Thirsty Ed can be expressed as U(x, y) = x + 2.67y, where x represents the quantity of 0.15-liter containers and y represents the quantity of 0.4-liter containers. This utility function assumes that Ed's utility depends only on the quantity of water consumed, and the containers themselves yield no utility.

To graph the indifference curves, we can choose different combinations of x and y that give the same level of utility. For example, if we fix U = 2, we can have the following combinations: (x, y) = (1, 0), (0, 2), (2, 0.25), etc. Plotting these points on a graph will give us the indifference curves.

b. Ed's budget line can be graphed by considering his income (I) and the prices of the 0.15-liter container (px) and the 0.4-liter container (py). The budget line equation is I = px*x + py*y.

To find the prices of px and py at which the demand for x is zero, we need to consider the slope of the budget line. If px/py > 0.15/0.4, then the demand for x will be zero. This means that as long as the price of the 0.15-liter container is higher than the price of the 0.4-liter container, Ed will not purchase any 0.15-liter containers.

To graph this, plot the budget line with different values of px and py, and observe the point where the budget line intersects the x-axis (x=0). This will give you the prices of px and py at which the demand for x is zero.

In another diagram, graph the case where px/py < 0.15/0.4 to show that Ed will only purchase 0.15-liter containers.

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Answer:

Kinetic

Explanation:

Its a moving action

When a bicyclist is pedaling up a hill, it is a form of potential energy. The correct option is option potential energy.

An object's position or configuration in relation to other things might provide it potential energy. The potential energy in this situation is gravitational potential energy.

Because they are being lifted against gravity as they ascend the hill, the cyclist gains gravitational potential energy. The potential energy of the cyclist increases as they ascend.

The potential energy will be transformed into kinetic energy once the cyclist begins pedaling or moving downward.

As a result of their increased height above the ground, cyclists are building up potential energy as they bike up a hill. They gain speed as they cycle downhill, transforming that potential energy into kinetic energy.

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The main advantage of using models in science is the chance to predict a given outcome and make new predictions.

The expression 'scientific models' makes reference to all advancements associated with the use of scientific claims, especially scientific theories that are well sustained by empirical evidence and the chance to prove these claims before their usage.

The scientific advantages are mainly associated with the possibility to predict the result of phenomena from the real world, which also allows for making new predictions.

In conclusion, the main advantage of using models in science is the chance to predict a given outcome and make new predictions.

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The distance between two wavefronts is termed as wavelength.

The wavelength of a sound wave is defined as the space between two adjacent wavefronts. The number of wavefronts the observer detects during a period of time can be used to calculate the wave's frequency.

The medium (such as a vacuum, air, or body of water) through which a wave travels determines its wavelength. Waves can be anything from music to light to water to periodic electrical signals. While light and other electromagnetic radiation use variations in electric and magnetic field strength, sound waves are variations in air pressure. Water waves are fluctuations in a body of water's height. Atomic locations change during the shaking of a crystal lattice.

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Answer:

3

Explanation:

Since the 9.89 x10^3 have the three digits 9.89 without any fillers.

Answer:

This has 3 significant digits

Explanation:

9.89 x 10^3

Writing this out

9.89 * 1000

9890

This has 3 significant digits

The range of output possible for the plant is 100-500 units per day.

To find the range of output, we need to consider the maximum and minimum cycle times and the total operating time of the plant.

Maximum cycle time = 6 minutes

Minimum cycle time = 1.2 minutes

Operating time per day = 480 minutes

To determine the range of output, we first calculate the number of cycles the plant can complete in a day. Since the maximum cycle time is 6 minutes, the plant can complete a maximum of 480/6 = 80 cycles per day. Similarly, with a minimum cycle time of 1.2 minutes, the plant can complete a minimum of 480/1.2 = 400 cycles per day.

Next, we need to determine the output per cycle. Since the number of units produced in each cycle is not provided in the given information, we cannot determine the exact output per cycle. However, we can still establish a range of possible outputs based on the given options.

Among the given options, the range of 75-250 units per day is outside the feasible range because it is lower than the minimum output of 400 units per day. The range of 80-400 units per day is also incorrect because it does not consider the maximum cycle time of 6 minutes.

The remaining option, 100-500 units per day, is the only range that is consistent with the given information. It accommodates the minimum output of 400 units per day (achieved by running the plant at the maximum cycle time) and allows for higher output up to 500 units per day (achieved by running the plant at the minimum cycle time).

Therefore, the range of output possible for the plant is 100-500 units per day.

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Answer:

Even inside their ships, astronauts are exposed to a slow drizzle of cosmic rays coming right through the hull. The particles penetrate flesh, damaging tissue at the microscopic level. One possible side-effect is broken DNA, which can, over the course of time, cause cancer, cataracts and other maladies.

Yes, the speed of asteroid 1 relative to asteroid 2 would be v=0.22c.

To find the relative speed of asteroid 1 and asteroid 2, we can use the formula for relative velocity:

v(relative) = v(1) - v(2)

where v(1) is the velocity of asteroid 1 and v(2) is the velocity of asteroid 2.

Given that the speeds relative to Earth are 0.78c for asteroid 1 and 0.58c for asteroid 2, we can convert these to their velocities relative to the speed of light (c):

v(1) = 0.78c
v(2) = 0.58c

Substituting these values into the formula for relative velocity, we get:

v(relative) = 0.78c - 0.58c
v(relative) = 0.20c

Therefore, the speed of asteroid 1 relative to asteroid 2 is v=0.20c, which is equivalent to v=0.22 times the speed of light.

Yes, you are correct that the relative speed of asteroid 1 and asteroid 2 would be v=0.22c.

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The change in gravitational potential energy is given as 3.50 MJ.

The energy transferred to the surroundings when the skydiver opened her parachute is equal to the change in gravitational potential energy minus the kinetic energy at that moment. Therefore, the energy transferred to the surroundings can be calculated as follows:

Energy transferred to surroundings = Change in gravitational potential energy - Kinetic energy

Change in gravitational potential energy = 3.50 MJ = 3.50 × 10^6 J

Mass of the skydiver = 80 kg

Speed of the skydiver when she opened her parachute = 55 m/s

First, let's calculate the kinetic energy at that moment:

Kinetic energy = (1/2) × mass × (speed)^2

Kinetic energy = (1/2) × 80 kg × (55 m/s)^2

Now, we can calculate the energy transferred to the surroundings:

Energy transferred to surroundings = 3.50 × 10^6 J - [(1/2) × 80 kg × (55 m/s)^2]

The final result will be the calculated value for the energy transferred to the surroundings.

The energy transferred to the surroundings when the skydiver opens her parachute is the difference between the change in gravitational potential energy and the kinetic energy at that moment.

As the skydiver descends, her potential energy decreases due to her decreasing height. The change in gravitational potential energy is given as 3.50 MJ.

When the parachute is opened, the skydiver's speed is given as 55 m/s. The kinetic energy at that moment is calculated using the mass of the skydiver and her speed.

Subtracting the kinetic energy from the change in gravitational potential energy gives us the energy transferred to the surroundings. This accounts for the energy dissipated as heat, sound, and other forms of energy when the parachute is opened.

The calculated value represents the energy that is no longer available for the motion of the skydiver, but has been lost to the surroundings.

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The time taken for the echo to be heard is 4.2 s.

Distance from the canyon wall, d = 721 m

Velocity of sound in air, v = 343 m/s

So, the time taken to reach the wall, t = d/v

t = 721/343

t = 2.1 s

The echo is heard after the reflection of the sound wave.

Therefore, the time taken for the echo to be heard,

t' = 2 x 2.1

t' = 4.2 s

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Explanation:

there is no relationship between small mass and the bigger mass, but it can be related with the acceleration. Since Force is constant, acceleration is inversely proportional to the mass. Greater the mass, lesser is the acceleration and vise versa

The ratio of time of flight for inelastic collision to elastic collision is 1:2

The given parameters;

Considering inelastic collision, the final velocity of the system is calculated as;

\(m_1u_1 + m_2u_2 = v(m_1 + m_2)\\\\m_1u_1 + 0 = v(m_1 + m_2)\\\\v= \frac{m_1u_1}{m_1 + m_2} \ -- (1)\\\\\)

The time of motion of the system form top of the table is calculated as;

\(v = u + gt\\\\v = 0 + gt\\\\v = gt\\\\t= \frac{v}{g} \\\\t_A = \frac{m_1u_1}{g(m_1 + m_2)} \ \ ---(2)\)

Considering elastic collision, the final velocity of the system is calculated as;

\(m_1u_1 + m_2 u_2 = m_1v_1 + m_2v_2\\\\m_1u_1 + 0 = m_1v_1 + m_2v_2\\\\m_1 u_1 = m_1v_1 + m_2v_2\)

Apply one-directional velocity

\(u_1 + (-v_1) = u_2 + v_2\\\\u_1 -v_1 = 0 + v_2\\\\v_1 = v_2 -u_1\)

Substitute the value of \(v_1\) into the above equation;

\(m_1u_1 = m_1(v_2 - u_1) + m_2 v_2\\\\m_1u_1 = m_1v_2 -m_1u_1 + m_2v_2\\\\2m_1u_1 = m_1v_2 + m_2v_2\\\\2m_1u_1= v_2(m_1 + m_2)\\\\v_2 = \frac{2m_1u_1}{m_1+ m_2} \ --(3)\)

where;

\(v_2\) is the final velocity of the block after collision

Since the bullet bounces off, we assume that only the block fell to the ground from the table.

The time of motion of the block is calculated as follows;

\(v_2 = v_0 + gt\\\\v_2 = 0 + gt\\\\t = \frac{v_2}{g} \\\\t_B = \frac{v_2}{g} \\\\ t_B = \frac{2m_1u_1}{g(m_1 + m_2)} \ \ ---(4)\)

The ratio of time of flight for inelastic collision to elastic collision is calculated as follows;

\(\frac{t_A}{t_B} = \frac{m_1u_1}{g(m_1 + m_2)} \times \frac{g(m_1 + m_2)}{2m_1u_1} \\\\\frac{t_A}{t_B} = \frac{1}{2} \\\\t_A:t_B = 1: 2\)

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It can be seen in the image that the bulbs are connected through different branches. The circuit in which the current is flowing through different branches is known as the parallel ciruit. The current will be divided between the branches.

Thus the correct answer is option B, parallel.

Answer:

The value of Force is

\(f = 0.031n\)

Explanation:

Greetings!!!

Mass(m)= 0.005kg

Acceleration (a)= 6.2m/s²

Force= ?

Firstly, recall the Newton's second law.

substitute known variables into the equation.

Solve for Force.

If you have any questions or unclear ideas tag on comments.

Hope it helps!!!

The force of the bullet is  0.031 N.

The force of the bullet is calculated by applying Newton's second law of motion as shown below.

Mathematically, Newton's second law of motion is given as;

F = ma

where;

The force of the bullet is calculated as follows;

F = 0.005 kg  x  6.2 m/s²

F = 0.031 N

Thus, the force of the bullet is a function of the mass and the acceleration of the bullet.

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The efficiency of the engine is 60%.

The efficiency of a heat engine describes the amount of input energy converted into useful work.

It also entails the amount of useful work done by the engine. The greater the amount of useful work done by the engine, the greater the efficiency of the engine.

The efficiency of an engine ranges from 0 to 100%.

If there four stages in the energy conversion cycle, and 10% energy is wasted in each cycle, the total energy wasted in the four cycles is calculated as;

Total wasted energy = 4 x 10% = 40%

Efficiency of the engine = Useful energy = 100% - 40% = 60%

Thus, the efficiency of the engine is the useful work done by the engine.

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If elasticity is given by EX,Y percentage change in X divided by percentage change in Y, then it is positive when

Elasticity refers to a variable's responsiveness to changes in another variable. It is often used in economics to assess how changes in price, income, or other factors affect the quantity desired or provided of an item or service.

Price elasticity of demand measures the sensitivity of quantity required to price changes, whereas income elasticity of demand measures sensitivity to income changes.

Price elasticity of supply assesses how sensitive the quantity supplied is to price variations.

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Question

elasticity is given by, EX,Y = % Δ in X/ % Δ in Y, then elasticity is positive when:

an increase in Y leads to an increase in X.

a decrease in Y leads to a decrease in X.

If you rapidly stir some raw eggs with an eggbeater, the temperature of the eggs will remain unchanged.

Humans and human ancestors have scavenged and eaten animal eggs for millions of years.

Humans in Southeast Asia had domesticated chickens and harvested their eggs for food by 1500 BCE.

The most widely consumed eggs are those of fowl, especially chickens. Eggs of other birds, including ostriches and other ratites, are eaten regularly but much less commonly than those of chickens.

People may also eat the eggs of reptiles, amphibians, and fish. Fish eggs consumed as food are known as roe or caviar.

The act of stirring will not generate any heat or cooling effect, and the temperature of the raw eggs will remain the same.

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Let's conclude that the distant galaxies all appear to be moving away from us and with the more distant ones moving faster. This is the reason why we assume and infer that the universe is actually expanding.

"The universe is expanding," you may have heard because scientists revealed that faraway galaxies are leaving us at a noticeably faster rate than those closer to our home, our galaxy. So no, universe is not growing in size and it is not rotating rapidly.

Did you know that the Hubble Law states that because the universe is expanding, it may be used to calculate distances between galaxies? It never states that universe expands because the galaxy appear to be made of dark matter.

So the astounding hypothesis that the universe appears to be accelerating suggests that it is expanding faster than previously observed.

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Answer: A.

current (thumb) to magnetic field (fingers)

Answer:

A. current (thumb) to magnetic field (fingers)

Explanation:

According to the Right-Hand Thumb rule, if we are holding a current- carrying straight conductor in our right hand such that the thumb points toward the direction of current, then the fingers will wrap around the conductor in the direction of the field lines of the magnetic field.

Hope it helps.

If you have any query, feel free to ask.

Answer:

here

Explanation:

see in picture! hereee

Answer:

Explanation:

Note that fire can have a shadow not because the incoming light beam scatters off the light in the flame. On the fundamental level, one beam of light cannot directly interact with another beam of light. ... Fires can have shadows because they contain hot air and soot, and not because they contain light.

Answer:

it can,t for a fire creates light so it destroyed its shadow

The mass and energy of the wood before burning would be equal to the energy and matter of the ash, soot, heat and light after burning.

The law of conservation of energy states that energy can neither be created nor destroyed but can be transformed from one form to another.

While burning of wood, the chemical energy in the wood is released as heat because of the chemical reaction of wood and oxygen.

This type of chemical reaction is called combustion and it requires oxygen. Combustion converts the stored chemical energy in the wood into heat and light energy.

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Answer:

A

Explanation:

velocity is measured in  m/s

  acceleration has units   m/s^2

      so divide the velocity change by the time change:

                   20 m/s  /  80 s   = 20 / 80 = .25 m/s^2

The acceleration rate of the car travelling at 27m/s in 1.2metres is 303.8m/s².

Acceleration of a body refers to the amount by which a speed or velocity increases. The acceleration of a moving body can be calculated using one of the equation of motion as follows:

v² = u² + 2as

Where;

According to this question, a car traveling at 27 m/s hits a tree. if the front end of the car is 1.2 meters, the acceleration rate of the car can be calculated as follows:

27² = 0² + 2(a)(1.2)

729 = 2.4a

a = 303.8m/s²

Therefore, 303.8m/s² is the acceleration of the car.

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Today, astronomers can measure distances directly to worlds like Venus, mars, the moon, or the satellites of Jupiter by bouncing radar beams off them.

The reproduction and display of 3D pictures is another use for parallax. The secret is to take two 2D pictures of the subject from slightly different angles, just like human eyes do, and to show them so that each eye only sees one of the pictures.

For instance, a stereopticon, or stereoscope, a popular gadget from the 19th century, employs parallax to display images in three dimensions. Through a set of lenses, two photographs that have been put next to one another are seen. Each image is captured from a slightly varied angle that nearly resembles the distance between the eyes. The images on the left and right respectively depict what the left and right eyes would see.

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The plane travels a distance of 325 miles if the airplane travels for 2.5 hours at an average speed of 130 miles per hour. Using the distance formula (d = rt), we can calculate the distance.

To find the distance traveled by the airplane, we can use the distance formula, which is represented as d = rt. In this formula, "d" represents the distance, "r" represents the rate or speed at which the object is traveling, and "t" represents the time taken for the travel.

Given that the airplane travels for 2.5 hours at an average rate of 130 miles per hour, we can substitute these values into the formula. The rate of the airplane is 130 miles per hour, and the time taken is 2.5 hours.

Using the formula, we can calculate the distance traveled as follows:

d = rt

d = 130 mph × 2.5 hours

Multiplying the rate (130 mph) by the time (2.5 hours) gives us:

d = 325 miles

Therefore, the airplane travels a distance of 325 miles during the 2.5 hours of travel at an average rate of 130 miles per hour.

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