: In a certain men's track and field event, the shotput has a mass of 7.50 kg and is released with a speed of 13.0 m/s at 30.0° above the horizontal over a man's straight left leg Part A What is the initial horizontal component of the momentum of this shotput? Express your answer in kilogram meters per second. ΑΣΦ ? Ph= kg-m/s Submit Request Answer Part B What is the initial vertical component of the momentum of this shotput? Express your answer in kilogram meters per second. | ΑΣΦ ]] ? Pv= kg-m/s Submit Request Answer

Answers

Answer 1

The initial vertical component of the momentum of this shotput is 37.4 kg-m/s.

The initial horizontal component of the momentum of the shotput can be calculated using the formula p = mv, where p is the momentum, m is the mass, and v is the velocity. In this case, the mass of the shotput is given as 7.50 kg. To find the horizontal component, we need to determine the horizontal velocity.

Part A:Initial horizontal component of the momentum can be calculated as follows:

P = m * v * cosθ

where

P = momentum

m = mass

v = velocity

θ = angle between the velocity and the horizontal

P = 7.50 kg × 13.0 m/s × cos30°P = 94.9 kg m/s

Therefore, the initial horizontal component of the momentum of this shotput is 94.9 kg-m/s.

Part B:

Initial vertical component of the momentum can be calculated as follows:

P = m * v * sinθwhereP = momentum

m = mass

v = velocityθ = angle between the velocity and the horizontal

P = 7.50 kg × 13.0 m/s × sin30°P = 37.4 kg m/s

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Related Questions

If the velocity is 33 cm/sec, and the flow is 4.4 L/min, what is the diameter of the aorta? 4. If the area of the aorta is 2.7 cm
2
, and the flow is 5.1 L/min, and the aorta branches in arteries totaling 50 cm
2
, what is the velocity in each branch artery? 5. What is the first branch off the aorta (not counting coronary arteries)? 6. The velocity of blood flow in the LVOT is 88 cm/sec, and the area of the LVOT is 7.7 cm, and the velocity in the aortic valve is 4.4 m/sec. What is the valve area? Flow behavior 1. What does "laminar" moses 2. What are the HW AS

Answers

The diameter of the aorta can be determined by using the given velocity and flow rate. The velocity in branch arteries can be calculated using the given flow rate and the total area of the arteries. The first branch off the aorta can be identified based on its location. The valve area can be determined by utilizing the given velocities and the area of the LVOT.

To calculate the diameter of the aorta, we need to relate the velocity and the flow rate. Velocity is given as 33 cm/sec, and the flow rate is 4.4 L/min. We can convert the flow rate to cm^3/sec (1 L = 1000 cm^3), which gives us a flow rate of 73.33 cm^3/sec. The flow rate is proportional to the cross-sectional area of the vessel multiplied by its velocity. Using the formula Q = A * V, where Q is the flow rate, A is the cross-sectional area, and V is the velocity, we can rearrange the formula to solve for the diameter of the aorta.

To determine the velocity in each branch artery, we can use the given flow rate of 5.1 L/min and the total area of the branch arteries, which is 50 cm^2. By dividing the flow rate by the total area, we can find the velocity in the branch arteries.

Identifying the first branch off the aorta requires knowledge of the anatomy. Typically, the first branch off the aorta is the brachiocephalic trunk, which divides into the right subclavian artery and the right common carotid artery.

To calculate the valve area, we can utilize the velocities and the area of the left ventricular outflow tract (LVOT). The velocity in the aortic valve is given as 4.4 m/sec, and the velocity in the LVOT is 88 cm/sec. The valve area can be determined using the continuity equation, which states that the product of the cross-sectional area and velocity at one point is equal to the product of the cross-sectional area and velocity at another point along the flow path.

In summary, the diameter of the aorta can be determined using the given velocity and flow rate. The velocity in branch arteries can be calculated using the flow rate and the total area of the arteries. The first branch off the aorta is typically the brachiocephalic trunk. The valve area can be calculated using the velocities and the area of the LVOT, utilizing the continuity equation.

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0.72 m
1.85 m
Whats Mechanical advantage ?

A. 0.6
B. 2.6
C. 0.8
D. 2.4

Answers

\(\huge\text{Hey there!}\)

\(\text{The formula for mechanical advantage is: }\rm{MA = \dfrac{F_o}{F_i}}\\\\\rm{Whereas, MA\ is: Mechanical\ average, F_o \ is \ the\ out put \ force, \ \& \ F_i\ is\ the\ in put}}\\\rm{force.}\)

\(\rm{MA = \dfrac{0.72}{1.85}\ or\ MA = \dfrac{1.85}{0.72}}\\\\\\\text{SIMPLIFYING }\rm{MA = \dfrac{0.72}{1.85}}\\\\\rm{MA \approx 0.72\div 1.85}\\\rm{MA \approx 0.3892}\\\rm{MA\approx 0.4}\\\\\\\text{SIMPLIFYING }\rm{MA = \dfrac{1.85}{0.72}}\\\\\rm{MA \approx 1.85\div 0.72}\\\rm{MA \approx 2.5694}\\\rm{MA \approx 2.6}\\\\\\\\\huge\text{Your answer probably is: \boxed{\mathsf{Option \ B. \bf 2.6}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

A box is placed on a 30o frictionless incline. What is the acceleration of the box as it slides down the incline

Answers

Answer:

2.78m/s²

Explanation:

Complete question:

A box is placed on a 30° frictionless incline. What is the acceleration of the box as it slides down the incline when the co-efficient of friction is 0.25?

According to Newton's second law of motion:

\(\sum F_x = ma_x\\F_m - F_f = ma_x\\mgsin\theta - \mu mg cos\theta = ma_x\\gsin\theta - \mu g cos\theta = a_x\\\)

Where:

\(\mu\) is the coefficient of friction

g is the acceleration due to gravity

Fm is the moving force acting on the body

Ff is the frictional force

m is the mass of the box

a is the acceleration'

Given

\(\theta = 30^0\\\mu = 0.25\\g = 9.8m/s^2\)

Required

acceleration of the box

Substitute the given parameters into the resulting expression above:

Recall that:

\(gsin\theta - \mu g cos\theta = a_x\\\)

9.8sin30 - 0.25(9.8)cos30 = ax

9.8(0.5) - 0.25(9.8)(0.866) = ax

4.9 - 2.1217 = ax

ax = 2.78m/s²

Hence the acceleration of the box as it slides down the incline is 2.78m/s²

A common brick is about 1.8 times denser than water. what is the apparent weight of a 0.20 m3 block of bricks under water?

Answers

Answer:

Pressure of .2 m^3 of bricks:

Pb = ρ g H = 1.8 ρw * 9.80 m/s^2 * .20 m = 1800  * 9.8 * .2 = 3530 Pascals

ρb = 1.8 ρw = 1.8    since the density of bricks is 1.8 that of water

Pw = 1 * 9.8 * 1000 * .2 = 1960 Pascals

W = P * A   pressure * Area = Force

Pnet = 1570 Pascals - pressure due to bricks under water

F = 1570 N/m^2 * .2m^2 = 63 N     force on pile of bricks

Calculate the orbital period of a satellite circling the Earth at an altitude of 3500 km. Answer to the nearest minute. Show your work.​

Answers

The orbital period of the satellite circling the Earth at an altitude of 3500 km is 163 minutes

How do i determine the orbital period?

The orbital period for the satellite circling the Earth at an altitude of 3500 km can be obtained as follow:

Altitude = 3500 kmRadius of earth = 6400 KmSemi-major axis (a) = Radius + Altitude = 6400 + 3500 = 9900 Km = 9900 × 1000 = 9900000 mGravitational constant (G) = 6.67×10¯¹¹ Nm²/Kg²Mass of earth (M) = 5.987×10²⁴ KgOrbital period (T) = ?

T² = (4π² / GM) × a³

T² = [(4 × 3.14²) / (6.67×10¯¹¹ × 5.987×10²⁴)] × 9900000³

Take the square root of both sides

T = √[((4 × 3.14²) / (6.67×10¯¹¹ × 5.987×10²⁴)) × 9900000³]

T = 9789.15 s

Divide by 60 to express in minutes

T = 9789.15 / 60

T = 163 minutes

Thus, we can conclude that the orbital period of the satellite is 163 minutes

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How much time does it take a person to walk 12 km north at a velocity of 6.5km/h?

Answers

T = d/ v
D= 12 km
V= 6.5
12/6.5 = 1.84 s

De acuerdo al calendario ecológico 2020, escriba cuanto CO2 produce el Ecuador y en un resumen máximo de 7 líneas, determine porque son importante los humedales en la biodiversidad.

Answers

Answer:

43,919.66 Kilotones de Co2 en 2016.

Explicación:

Ecuador produce 43,919.66 Kilotones de Co2 en 2016. Las tierras húmedas son muy importantes para la biodiversidad porque proporcionan hábitat a millones de animales. Alrededor del 35 por ciento de todas las especies amenazadas y en peligro vive en estas tierras húmedas. Estas tierras húmedas son altamente productivas y tienen la capacidad de mejorar la calidad del agua, prevenir la degradación del suelo y proporcionar alimentos a los animales que viven en estas tierras húmedas.

Please I beg you help me out here this is due in a few hours thank you. Calculate the current in each resistor with current 13A 2ohms 3ohms 4ohms​

Answers

The current through each resistor is 13 A.

To calculate the current in each resistor, we can use Ohm's law, which states that the current through a conductor between two points is directly proportional to the voltage across the two points and inversely proportional to the resistance between them.

In this case, we are given the current and the resistance of each resistor, so we can use Ohm's law to calculate the voltage across each resistor, and then use the current to find the current through each resistor.

Let's start with the first resistor, which has a resistance of 2 ohms:

V = IR

V = (13 A) x (2 ohms)

V = 26 V

Now, we can use the voltage and resistance to find the current through the first resistor:

I = V/R

I = (26 V) / (2 ohms)

I = 13 A

So, the current through the first resistor is also 13 A.

Next, we can repeat the same process for the other two resistors:

For the second resistor with a resistance of 3 ohms:

V = IR

V = (13 A) x (3 ohms)

V = 39 V

I = V/R

I = (39 V) / (3 ohms)

I = 13 A

So, the current through the second resistor is also 13 A.

For the third resistor with a resistance of 4 ohms:

V = IR

V = (13 A) x (4 ohms)

V = 52 V

I = V/R

I = (52 V) / (4 ohms)

I = 13 A

So, the current through the third resistor is also 13 A.

Therefore, the current through each resistor is 13 A.

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a vector is 66.0 m long and at 28.0 degrees with respect to the x axis. vector b is 40.0 m long at a 56 degrees angle with respect to the x axis. find the magnitude and direction of the resultant.

Answers

The magnitude of the resultant vector is 81.5 m and the direction is 41.3 degrees with respect to the x-axis.

To find the magnitude of the resultant vector, we use the law of cosines: c^2 = a^2 + b^2 - 2ab * cos(C),

where a = 66.0 m, b = 40.0 m, and C = 180 - (28 + 56) = 96 degrees.

Plugging in these values, we get c^2 = 66.0^2 + 40.0^2 - 2 * 66.0 * 40.0 * cos(96).

Solving for c, we find c ≈ 81.5 m.

To find the direction of the resultant vector, we use the law of sines: sin(A)/a = sin(B)/b = sin(C)/c, where A is the angle opposite to side a, B is the angle opposite to side b, and C is the angle opposite to side c.

In this case, we want to find angle A.

Plugging in the values, we get sin(A)/66.0 = sin(96)/81.5.

Solving for sin(A), we find sin(A) ≈ (66.0 * sin(96))/81.5.

Taking the inverse sine of this value, we find A ≈ 41.3 degrees.

Therefore, the direction of the resultant vector is 41.3 degrees with respect to the x-axis.

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Katie kangaroo takes 0.25hours (15mins) to reach her friends house which is 7.5 miles away how fast was she hopping.

Answers

Answer:

30mph

Explanation:

7.5 miles / .25 hours = 30 mph

Calculate the average speed (in km/h) of Larry, who runs to the store 4 kilometers away in 30 minutes.

Answers

Larry's average speed, in km/h, can be calculated by dividing the total distance he ran by the time taken.

Average speed is a measure of the overall rate at which an object covers a certain distance. It is calculated by dividing the total distance traveled by the total time taken. The average speed is a scalar quantity, meaning it only has magnitude and no direction. It represents the overall "average" rate at which an object moves without considering the specific details of its motion. Larry ran 4 kilometers in 30 minutes. To calculate the average speed, we convert the time from minutes to hours by dividing it by 60. So, 30 minutes is equal to 0.5 hours.

Average speed = Total distance / Time taken

Average speed = 4 km / 0.5 hours

Dividing 4 km by 0.5 hours, we get:

Average speed = 8 km/h

Therefore, Larry's average speed is 8 km/h.

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Suppose that you push on a heavy desk, but it does not move. What force opposes your push? How do you know that the opposing force balances the focus that you excerpt? (section 3 friction a force that opposes motion standard standards)

Answers

Answer:

friction doesn't let the desk move.

Explanation:

the law of motion states any object in motion should stay in motion.

the gravitational force between the sun and earth is larger than sun and the moon. what do you think the reason for this is?

the gravitational force between the sun and earth is larger than sun and the moon. what do you think

Answers

Answer: The greater an object's mass, the more gravitational force it exerts.

Explanation: So, to begin answering your question, Earth has a greater gravitational pull than the moon simply because the Earth is more massive. Sorry if I get this wrong. I am in 5th grade! ♥

The gravitational attraction between the Sun and Earth is stronger than the attraction between the Sun and the Moon, principally because of the Sun's greater mass and greater distance from Earth.

An object's mass affects how much gravitational pull it exerts. Both the Earth and the Moon are much less massive than the Sun. Approximately  330,000 times more massive than the Earth, and roughly 27 million times more massive than the Moon, is the Sun. Because of the Sun's greater mass, its gravitational pull is thus much stronger.

The strength of the gravitational force between two objects is greatly influenced by their distance from one another. The Sun and Earth are separated from one another by a far smaller distance than the Sun and Moon. The Sun is located roughly 150 million kilometers from Earth, while the Moon is located roughly 384,400 kilometers from the Sun on average. The inverse square law asserts that the gravitational force decreases with increasing distance, and that it is only one-fourth as strong when two objects are twice as far apart.

Hence, the gravitational force between the sun and earth is larger than the sun and the moon due the mass of the sun and earth is greater than the moon and sun. The distance between the sun and the earth is comparatively smaller than the distance between the sun and the moon.

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Describe how your body uses chemical energy.

Answers

Explanation:

Your body uses chemical energy every day to perform daily tasks. Food contains calories and when you digest food, the energy is released. The molecules in food are broken down into smaller pieces. As the bonds between the atoms break or loosen, oxidation occurs.The chemical reaction involved in digestion supplies you with warmth, helps to maintain and repair your body and gives you the energy you need to move around.

A construction worker uses an electrical device to attract fallen nails and sharp objects
from a construction site. What is causing the attraction of the metal objects?
O An electrical wave oscillating perpendicular to the electrical device.
O An electrical charge radiating perpendicular to the wire
O Amagnetic wave radiating perpendicular to an electrical device
O A magnetic wave and electrical current moving in opposite directions

Answers

Answer:

is the last one, a magnetic wave and electrical current moving in opposite directions

Explanation:

opposite directions always attract in magnetic waves and fields

A jet liner must reach a speed of 82 m/s for takeoff. If the
runway is 1500 m long, what acceleration must the jet
have?

Answers

Answer:

The acceleration that the jet liner that must have is 2.241 meters per square second.

Explanation:

Let suppose that the jet liner accelerates uniformly. From statement we know the initial (\(v_{o}\)) and final speeds (\(v_{f}\)), measured in meters per second, of the aircraft and likewise the runway length (\(d\)), measured in meters. The following kinematic equation is used to calculate the minimum acceleration needed (\(a\)), measured in meters per square second:

\(a = \frac{v_{f}^{2}-v_{o}^{2}}{2\cdot d}\)

If we know that \(v_{o} = 0\,\frac{m}{s}\), \(v_{f} = 82\,\frac{m}{s}\) and \(d = 1500\,m\), then the acceleration that the jet must have is:

\(a = \frac{\left(82\,\frac{m}{s} \right)^{2}-\left(0\,\frac{m}{s} \right)^{2}}{2\cdot (1500\,m)}\)

\(a = 2.241\,\frac{m}{s^{2}}\)

The acceleration that the jet liner that must have is 2.241 meters per square second.

What is the force of gravity on a 24.0 kg table sitting on the earth

Answers

Answer:

24×9.8

Explanation:

which activity is best described as a scientific endeavor?

which activity is best described as a scientific endeavor?

Answers

Designing investigations to predict the effect of hurricanes (D) best describes a scientific endeavor.

A scientific endeavor builds scientific knowledge by postulating theories that explains any phenomenon. It might differ from what was already known as the truth. In a scientific endeavor, a problem is first identified, observations are made, hypothesis are created based on the observations and experiments are conducted to prove the hypothesis.

The other options manly focusses on developing devices and technologies to prevent or withstand hurricanes which are examples of engineering endeavors.

Therefore, Designing investigations to predict the effect of hurricanes (D) best describes a scientific endeavor.

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A hockey puck slides across a frozen pond. if ice friction and air resistance are neglected, the force needed to keep the puck sliding at constant velocity is:________

Answers

Answer:

Zero

Explanation:

Zero....  Inertia states a body in motion will remain in motion unless acted on by external forces.... no friction forces means it needs no force to keep going

Examine the Porter's 5 forces and explain how the forces are interconnected? Use examples to explain your answers. No less than 100 words

Answers

Porter's Five Forces is a framework used to analyze the competitive intensity and attractiveness of an industry. The five forces are: Threat of New Entrants, Bargaining Power of Suppliers, Bargaining Power of Buyers, Threat of Substitute Products or Services and Intensity of Competitive Rivalry.

Threat of New Entrants: This force considers the ease or difficulty for new competitors to enter an industry. It includes barriers to entry such as high capital requirements, economies of scale, brand loyalty, and government regulations.

Example: The airline industry is known for its high barriers to entry due to the significant capital required to purchase aircraft, establish routes, and secure necessary licenses and permits. Additionally, established airlines often have loyal customer bases and strong brand recognition, making it challenging for new entrants to compete effectively.

Bargaining Power of Suppliers: This force assesses the power suppliers have over the industry in terms of pricing, quality, and availability of inputs. It considers factors such as the concentration of suppliers, uniqueness of their products, and their ability to forward integrate.

Example: In the smartphone industry, major suppliers of components like microchips and display screens hold significant bargaining power. These suppliers provide essential inputs, and their products may have limited alternatives or require specialized manufacturing processes. As a result, smartphone manufacturers must negotiate favorable terms with these suppliers to ensure a reliable supply chain and competitive pricing.

Bargaining Power of Buyers: This force examines the power customers have in influencing prices, demanding better quality or service, and potentially switching to alternative products or suppliers. It considers factors such as buyer concentration, product differentiation, and switching costs.

Example: The retail industry experiences strong buyer power, particularly in highly competitive markets. Customers have access to various options, and their ability to compare prices and products easily through online platforms empowers them to demand competitive pricing, promotions, and high-quality products and services.

Threat of Substitute Products or Services: This force looks at the availability of alternative products or services that can satisfy customer needs. It considers factors such as price-performance trade-offs, switching costs, and customer loyalty.

Example: The rise of streaming services such as Netflix, Amazon Prime Video, and Hulu posed a significant threat to traditional cable and satellite TV providers. These streaming platforms offer a wide range of content at competitive prices, allowing customers to switch from traditional TV services to streaming options, resulting in a decline in subscriber numbers for traditional providers.

Intensity of Competitive Rivalry: This force evaluates the level of competition among existing firms in the industry. It considers factors such as the number and size of competitors, industry growth rate, product differentiation, and exit barriers.

Example: The soft drink industry, dominated by major players like Coca-Cola and PepsiCo, experiences intense competitive rivalry. These companies fiercely compete for market share through advertising campaigns, new product launches, pricing strategies, and distribution channels. The rivalry is further intensified by the high market saturation and the limited scope for differentiation among similar products.

The interconnection of these forces lies in their collective influence on the competitive dynamics and profitability of an industry. Changes in one force can trigger a chain reaction that impacts the others. For instance, a high threat of new entrants may lead to increased competitive rivalry as existing firms strive to defend their market share. Similarly, a strong bargaining power of buyers can limit the pricing power of suppliers and impact their profitability. Understanding these interconnections helps businesses assess the overall attractiveness and competitive landscape of an industry and develop appropriate strategies to thrive within it.

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what resonant frequency would you expect from blowing across the top of an empty soda bottle that is 21 cm deep, if you assumed it was a closed tube?

Answers

Blowing across the top of an empty soda bottle that is 21 cm deep, assuming it is a closed tube, would result in a resonant frequency of approximately 408.33 Hz.

The resonant frequency of a closed tube can be determined using the formula:

f = (n * v) / (4L),

where f is the resonant frequency, n is the harmonic number (which represents the number of half-wavelengths that fit inside the tube), v is the speed of sound in air (which is approximately 343 m/s at room temperature), and L is the length of the tube.

In this case, the soda bottle is 21 cm deep, which is equivalent to 0.21 meters. Since it is a closed tube, we can assume that n = 1, as the fundamental frequency is the first harmonic. Plugging in the values into the formula, we get:

f = (1 * 343) / (4 * 0.21),

f ≈ 408.33 Hz.


Therefore, the expected resonant frequency would be approximately 408.33 Hz.

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how does Newton's third law describe the force affecting a rocket as it descends to

Answers

Answer:

Explanation:

Newton's Third Law states that "every action has an equal and opposite reaction". In a rocket, burning fuel creates a push on the front of the rocket pushing it forward. This creates an equal and opposite push on the exhaust gas backwards.

How will you make a 200 ml solution of 5 mm sucrose from a 100 mm sucrose solution?

Answers

To make a 200 ml solution of 5 mm sucrose from a 100 mm sucrose solution we have to take a volume of: 10ml of the concentrated solution

To solve this problem, the formula and the procedure that we have to use is:

c1 * v1 = c2 * v2

Where:

c1= concentration of the concentrated solutionv1 = volume of the concentrated solutionc2 = concentration of the diluted solutionv2 = volume of the diluted solution

Information about the problem:

c1 = 100 mmv1=?c2 = 5 mmv2=200 ml

Applying the dissolution of concentrations formula and clearing the volume of the concentrated solution (c1) we get:

c1 * v1 = c2 * v2

v1 = (c2 * v2)/ c1

v1 = (5 mm * 200 ml)/ 100 mm

v1= 10 ml

What is a solution?

In chemistry a solution is known as a homogeneous mixture of two or more components called:

Solvent: it usually is in a major amount than the soluteSolute: it usually is in less amount than the solvent

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How will you make a 200 ml solution of 5 mm sucrose from a 100 mm sucrose solution?

En un balde de 25 cm de altura se hace un orificio a 15 cm del suelo.calcula la velocidad de salida del agua​

Answers

Explanation:

En un balde de 25 cm de altura se hace un orificio a 15 cm del suelo.calcula la velocidad de salida del agua

1. A charge of −0.0004 C is a distance of 3 meters from a charge of 0.0003 C. What is the magnitude of the force between them?

Answers

q1= charge 1 = -0.0004C

q2= charge 2 = 0.0003c

r = distance = 3 m

F = k (q1*q2) / r^2

Where:

F= force

k= constant = 9 x 10^9 kgm^3/s^2m^2

Replacing:

F = 9x10^9 ( -0.0004 * 0.0003 ) / 3^2

F= 120 N

consider a short-period comet with an orbital period of 50 years. digging through historical records, astronomers have documented this comet over the past 24 orbits. how many more years would this comet be expected to continue its visits to the inner solar system

Answers

The comet is expected to make approximately 26 more visits to the inner solar system, assuming its orbital period remains constant.

If a short-period comet has an orbital period of 50 years, it means that it takes 50 years for the comet to complete one orbit around the Sun.

Therefore, the comet would have completed 24/50 of its current orbit at the time of observation.

To determine how many more years this comet would be expected to continue its visits to the inner solar system, we need to subtract the current time from the time it takes for the comet to complete one orbit around the Sun.

The time left for the comet to complete one orbit around the Sun can be calculated as follows:

50 years - (24/50) x 50 years

= 50 years - 24 years

= 26 years

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Approximating the eye as a single thin lens 2. 75 cmcm from the retina, find the eye's near-point distance if the smallest focal length the eye can produce is 2. 20 cm.

Answers

The near-point distance of the eye is 11 cm.

What is the eye's near-point distance?

The near-point distance of the eye is the closest possible distance an object can be from the eye in order for its image to be formed on the retina. It can also be termed the closest distance of accommodation.

The near-point distance of the eye in the given scenario can be calculated using the lens formula given below:

1/f = 1/v + 1/u

where;

f = focal length

v = image distance

u = object distance

From the data provided;

f = 2.20 cm

v = 2.75 cm

u = ?

Solving for u:

1/u = 1/f - 1/v

1/u = 1/2.20 - 1/2.75

1/u = 0.91

u = 11 cm

In conclusion, the lens formula is used to determine the eye's near-point distance.

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a substance that has high reactivity

Answers

Answer:

The most reactive element is fluorine, the first element in the halogen group. The most reactive metal is francium, the last alkali metal (and most expensive element)

Explanation:

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Physics (30 points)

The image attached shows the times for runners in a 100 m dash. If each runner has the same mass, which runner has the weakest force?

Physics (30 points)The image attached shows the times for runners in a 100 m dash. If each runner has

Answers

Answer: runner B

Explanation:

i did the test

Runner which has the weakest force is A.

What is speed?

The speed of any moving object is the ratio of the distance covered and the time taken to cover that distance.

The image attached shows the times for runners in a 100 m dash.

Force = mass x Acceleration

Force = mass x Velocity /Time

If each runner has the same mass, runner with the maximum time has the weakest or lowest force.

Among all the four runners, Runner A has the highest time for completing 100 m dash.

Thus, Runner A has the weakest force.

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It is commonly believed that the mean body temperature of a healthy adult is 98.6 ∘
F. You are not entirely convinced. You believe that it is not 98.6 ∘
F. You collected data using 35 healthy people and found that they had a mean body temperature of 98.24 ∘
F with a standard deviaiton of 0.92 ∘
F. Use a 0.10 significance level to test the claim that the mean body temperature of a healthy adult is not 98.6 ∘
F a) Identify the null and alternative hypotheses? H 0

:✓ H 1

:✓ c) Identify the appropriate significance level. d) Calculate your test statistic. Write the result below, and be sure to round your final answer to two decimal places. e) Calculate your p-value. Write the result below, and be sure to round your final answer to four decimal places.

Answers

a) The null and alternative hypotheses can be stated as follows:

H0: The mean body temperature of a healthy adult is 98.6 °F.

H1: The mean body temperature of a healthy adult is not 98.6 °F.

b) The appropriate significance level is given as 0.10, which corresponds to a 10% significance level.

c) To perform the hypothesis test, we can use the t-test since the population standard deviation is unknown. The test statistic can be calculated using the formula:

t = (sample mean - hypothesized mean) / (sample standard deviation / √n)

where the sample mean is 98.24 °F, the hypothesized mean is 98.6 °F, the sample standard deviation is 0.92 °F, and n is the sample size, which is 35 in this case.

Substituting these values into the formula, we get:

t = (98.24 - 98.6) / (0.92 / √35)

t = -0.36 / (0.92 / √35)

t = -0.36 / (0.92 / 5.92)

t ≈ -0.36 / 0.155

t ≈ -2.32 (rounded to two decimal places)

d) The test statistic is approximately -2.32.

e) To calculate the p-value, we need to determine the probability of obtaining a test statistic as extreme as -2.32 (in either tail) assuming the null hypothesis is true. Since we have a two-tailed test, we need to calculate the area under the t-distribution curve beyond -2.32 in the left tail and beyond 2.32 in the right tail.

Looking up the p-value corresponding to -2.32 (or the closest value) in the t-distribution table or using statistical software, we find that the p-value is approximately 0.0257.

Therefore, the p-value is approximately 0.0257 (rounded to four decimal places).

To learn more about  hypotheses

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