a hockey player is standing on his skates on a frozen pond when an opposing player, moving with a uniform speed of 2.0 m/s, skates by with the puck. after 1.40 s, the first player makes up his mind to chase his opponent. if he accelerates uniformly at 0.22 m/s2, determine each of the following.

Answers

Answer 1

By using uniform motion, in 19.49 second the player will catch his opponent

We need to know about the uniform motion to solve this problem. The uniform motion is an object's motion under acceleration. It should follow the rule

vt = vo + a . t

vt² = vo² + 2a . s

s = vo . t + 1/2 . a . t²

where vt is final velocity, vo is initial velocity, a is acceleration, t is time and s is displacement.

From the question above, we know that

v = 2 m/s

t = 1.4 s

vo = 0 m/s

a = 0.22 m/s²

Find the distance between players

so = v . t

so = 2 . 1.4

so = 2.8 m

The player will catch his opponent with the same distance, hence

S = S

so + v . tchase = vo . tchase + 1/2 . a . tchase²

2.8 + 2.tchase = 0 . tchase + 1/2 . 0.22 . tchase²

0.11 tchase² - 2 tchase - 2.8 = 0

a = 0.11

b = -2

c = -2.8

the square root is

x1 = (-b + √(b² - 4ac) ) / 2a

x1 = (-(-2) + √((-2)² - 4 . 0.11 . (-2.8)) ) / (2 . 0.11)

x1 = 19.49 second

x2 = (-b - √(b² - 4ac) ) / 2a

x2 = (-(-2) - √((-2)² - 4 . 0.11 . (-2.8)) ) / (2 . 0.11)

x2 = -1.31 second

the possible root is 19.49 second

Hence, in 19.49 second the player will catch his opponent

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Related Questions

A cannonball is launched straight upwards with a velocity of vi. If the cannonball reaches a height of 1.25 km, what was the launch speed?

Answers

Answer:

Explanation:

2aS=vf^2-vi^2

vf^2=2as+vi^2

vf^2=2*9.8*1.25*10^3+vi^2

vf^2=24500vi2

√vf2=√24500vi2

vf=156.5vi

In order to convert temperature from Celsius to Fahrenheit, one can use the following equation F=1.8C+32, where C is the temperature in Celsius and F is the temperature in Fahrenheit. What is the temperature in Fahrenheit when C is 15 degrees?

Answers

The temperature is 57 degrees Fahrenheit while C is 15 degrees.

What does 32 F mean on the Fahrenheit scale?

Water has a freezing point of 32° and a boiling point of 212° on the Fahrenheit temperature scale. The difference between the two is divided into 180 equal parts.

Is 37.0 degrees Celsius a fever?

Your body temperature is usually around 37 °C. When your body temperature is 37.8°C or greater, you typically have a fever. You might feel hot, cold, or shaky. By taking your temperature using a thermometer, you can determine whether you have a fever.

How do you convert between Fahrenheit and Celsius?

The conversion of a degree in Fahrenheit to a degree in Celsius is represented by the Fahrenheit to Celsius formula. Fahrenheit to Celsius conversion formula: °C = [(°F-32)×5]/9

Given:

C = 15 degree

We know that,

F = 1.8C+32

F = 1.8*15+ 32

F = 27 +32

F = 57 degrees Fahrenheit

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Determine the momentum of a 25kg freshman football player moving southward at 2m/s.

Answers

Answer:

50 kg*m/s southward

Explanation:

p=mv

 =25kg(2m/s)

 =50 kg*m/s

How many grays is this? Part A A dose of 4.7 Sv of γ rays in a short period would be lethal to about half the people subjected to it. Part b What is the energy released in the fission reaction of the equation n+23592U→9440Zr+13952Te+3n? The atomic masses of 23592U, 9440Zr, and 13952Te are 235.043930 u, 93.906315 u , and 138.93473 u respectively, and the mass of a neutron is 1.008665 u.

Answers

The first part of the question asks about the lethal dose of γ rays in Sv, while the second part asks about the energy released in a fission reaction.

Part A: The lethal dose of γ rays in Sv is dependent on various factors, including the duration of exposure and the individual's sensitivity to radiation. However, the given information states that a dose of 4.7 Sv in a short period would be lethal to about half of the people subjected to it. This means that 4.7 Sv is a very high dose of radiation and can cause severe damage to the body.

Part B: The given fission reaction involves the neutron (n) colliding with uranium-235 (235U), resulting in the formation of zirconium-94 (94Zr), tellurium-139 (139Te), and three neutrons. To determine the energy released in this reaction, we need to calculate the difference in the mass of the reactants and products and then convert it into energy using Einstein's famous equation, E=mc². By subtracting the mass of the reactants from the mass of the products, we get a mass defect of 0.203775 u. Multiplying this by the speed of light squared (\(c{2}  = 9 * 10^{16}  m^{2} /s^{2}\)) gives us the energy released, which is \(1.83 * 10^{13}\) J.

A dose of 4.7 Sv of γ rays in a short period can be lethal to about half of the people exposed to it. The energy released in the given fission reaction is 1.83 * 10¹³ J, which is a significant amount of energy. Both parts of the question demonstrate the potential dangers and power of radiation and nuclear reactions.

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provide one example for conduction, convection, and radiation that you have experience in your daily life.

Answers

Answer:

Explanation:

Conduction:  touch a hot toaster oven (and get burned!)

Radiation:  hold hands near a hot toaster oven to warm them up

Convection:  see air above a hot toaster oven appear wavy as it rises

The current in a light bulb is 0. 835A. How long does it take for a total charge of 1. 67 C to pass a point in the wire

Answers

It takes 2 seconds for the charge to pass a point in the wire. The result is obtained by using the formula for an electric current equation.

What is electric current?

Electric current is a flow of charged particles per unit of time. It can be expressed as

I = Q/t

Where

I = electric current (A)Q = charge (C)t = time (s)

A light bulb has

Electric current, I = 0.835 A.Total charge, Q = 1.67 C.

Find the time taken!

We use the formula above to find t.

I = Q/t

0.835 = 1.67/t

t = 1.67/0.835

t = 2 s

Hence, the time needed to for the charge to pass a point in the wire is 2 seconds.

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Put the steps in order to show how crystals are formed

Answers

Answer:

A) Formation of ions

B)Formation of ionic bonds

C)Formation of cubes

D)Formation of crystals

Hope this helps

Answer:

1 4 2 3

Explanation:

edge 2021


A car is coasting backwards downhill at a speed of 3.0 m/s when the driver gets the engine started. After 2.5
s, the car is moving uphill at 4.5 m/s. Assuming that uphill is positive direction, what is the car's average
acceleration.

Answers

Answer:

0.6m/s²

Explanation:

Given parameters:

Initial velocity  = 3m/s

Final velocity  = 4.5m/s

Time taken  = 2.4s

Unknown:

Average acceleration  = ?

Solution:

To solve this problem, we use the expression:

 Acceleration  = \(\frac{v - u}{t}\)  

v is the final velocity

u is the initial velocity

t is the time taken

    Acceleration  = \(\frac{4.5 - 3}{2.5}\)   = 0.6m/s²

Calculate the frequency a signal with a period of 0. 0034 seconds

Answers

The frequency of the signal with a period of 0.0034 seconds is approximately 294.1176 Hz.

The frequency of a signal is the reciprocal of its period. The formula to calculate frequency (f) is:

f = 1 / T

Where T is the period.

In this case, the period is given as 0.0034 seconds. Substituting this value into the formula, we can calculate the frequency:

f = 1 / 0.0034 seconds

f = 294.1176 Hz

Therefore, the frequency of the signal with a period of 0.0034 seconds is approximately 294.1176 Hz.

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How would the force change if the distance between the charges was increased by 8?

Answers

The force between two charges is inversely proportional to the square of the distance between them. This means that if the distance between the charges is increased by a factor of 2, the force between them will decrease by a factor of 2^2 = 4.

In this case, if the distance between the charges is increased by 8, the force between them will decrease by a factor of (8)^2 = 64. Therefore, the force between the charges will decrease significantly if the distance between them is increased by 8. There

at constant temperature which 10-milliliter sample, measured at stp, will uniformly take the shape and volume of a 100-milliliter container into which it is placed?

Answers

At constant temperature, the 10-milliliter sample of gas, measured at STP, will uniformly take the shape and volume of a 100-milliliter container into which it is placed if the gas follows the ideal gas law.

According to the ideal gas law, PV = nRT, where P is the pressure, V is the volume, n is the number of moles of gas, R is the ideal gas constant, and T is the temperature. Since the temperature is constant in this scenario, we can simplify the ideal gas law equation to PV = constant. This means that the product of pressure and volume remains constant as long as the temperature and the amount of gas (moles) are constant.Therefore, if we transfer the 10-milliliter sample of gas into a 100-milliliter container while keeping the temperature constant, the pressure will adjust accordingly to maintain the product of pressure and volume constant. The gas will uniformly take the shape and volume of the larger container.

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A science teacher ran a marathon. After the race she showed her students the silver blanket she was given to keep her warm.A group of students investigated how the colour of the blanket affected how much infrared radiation is absorbed.
Plan an investigation

Answers

Answer:

the foiley like color doesn't absorb the heat it bounces off of it. it would be much better to have a black blanket

a spaceship moves to the right at speed v with respect to the ground. two events occur simultaneously, a distance l apart, in the spaceship frame. what are the time and space separations in the ground frame?

Answers

In the ground frame, the time separation remains simultaneous, while the space separation contracts due to the spaceship's motion.

In the spaceship frame, the two events occur simultaneously and are separated by a distance l.

However, when considering the ground frame, where the spaceship is moving to the right at speed v, the concept of time dilation and length contraction comes into play.

According to the theory of special relativity, time dilation occurs when an object is in motion relative to an observer.

This means that time appears to pass more slowly for the moving object compared to the observer at rest. In this case, as the spaceship is moving, the time separation between the events remains simultaneous in the ground frame.

On the other hand, length contraction occurs in the direction of motion. So, the distance l between the events, as measured by an observer on the ground, will appear shorter due to the spaceship's motion.

Therefore, in the ground frame, the time separation between the events remains simultaneous, while the space separation contracts due to the spaceship's motion.

This phenomenon is a consequence of the relativistic effects described by special relativity and highlights the concept of frames of reference and the relativity of simultaneity.

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consider three resistors with resistances 20 ω, 30 ω and 50 ω that are connected in series. what is the equivalent resistance of the three resistor series network?

Answers

The equivalent resistance of the three-resistor series network would be 100 ω.

The equivalent resistance of a three resistor series network composed of resistances 20 ω, 30 ω and 50 ω can be determined by adding the individual resistances together.

In this case, the equivalent resistance of the three resistor series network is 100 ω, as 20 ω + 30 ω + 50 ω = 100 ω.

When resistors are connected in series, the total resistance of the circuit is equal to the sum of the individual resistances.

This is because current passing through the circuit must pass through each resistor in series, thus reducing the overall resistance of the circuit.

As such, the equivalent resistance of the three resistor series network is 100 ω.

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A body is uniformly accelerated from rest to a final velocity of 100m/s in 10 seconds.Calculate the distance covered

Answers

Answer:

Solution s =ut + ½ at 2 = 0×10 + ½ × 10×10 2 = 1000/2=500 m

Explanation:

The body is accelerating from stationary to a velocity of 100 m/s within 10 seconds. Thus, the distance covered is 500 m.

What is acceleration?

Acceleration of a moving body is the rate of change in its velocity. Acceleration is a vector quantity having both magnitude and direction. The change in magnitude or direction or both in velocity causes an acceleration in the moving body.

The relation between distance with the velocity, acceleration and time is given as :

s = ut + 1/2 at²

The initial velocity u = 0 here

v = 100 m/s

t = 10 seconds.

acceleration =  100 /10 = 10 m/s²

Then the distance covered is calculated as follows:

s = 1/2 at²

  = 1/2 10 m/s²× 10²

  = 500 m

Therefore, the distance covered by the body is 500 m.

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Billy is pulling his sister Joslyn in the sled. Based on your knowledge of F=ma, describe what would
happen to the motion of the sled if Joslyn's friend Lisa also wanted to ride.

Answers

Answer:

the motion of the sled decrease

Explanation:

the mass increase

The acceleration of the sled will is inversely proportional to the mass on it. Therefore, the motion of the sled would slow if Joslyn's friend Lisa also wanted to ride.

What is acceleration?

Acceleration in mechanics can be described as the rate of change of velocity of an object with respect to time. The acceleration of an object is a vector quantities with magnitude and direction.

The S.I. unit for acceleration can be represented as m/s² the net balance of all external forces acting is equal to the magnitude of the net resulting force.

The force (F) acting on an object is equal to the product of the mass (m) of the object and acceleration (a) of an object.

F = ma

And, a = F/m

As shown in the above equation, the mass of the object is inversely proportional to the acceleration of the object, therefore, the acceleration of the sled decrease as the mass on it increases.

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a) We produce a diffraction pattern on a viewing screen by means of a long narrow slit illuminated by blue light. Does the pattern expand away from the bright center (the maxima and minima shift away from the center) or contract toward it if we I. switch to yellow light or II. Decrease the slit width? 02 x 02 = 04 Marks

Answers

Answer:

I. The angle θ increases, and the pattern expands away from the bright center

II. The angle θ increases, and the pattern expands away from the bright center

Explanation:

The given information are;

The light used to produce a diffraction pattern = Blue light

The formula for refraction is given as follows;

d × sin(θ) = n·λ

Where;

d = The inter slit distance

θ = The angle to the maxima

n = Number to the integer next fringe

λ = Light wavelength

The wavelength of blue light is between 450 and 495 nanometers

Therefore;

I. When we switch to yellow light

The wavelength of yellow light is between 590 and 560 nanometers, which is an increase in wavelength, given that d, the inter slit distance is held constant, the angle θ increases, and the pattern expands away from the bright center

II. Decrease the slit width

When the slit width is decreased, and the wavelength remains the same, the angle θ increases, and the pattern expands away from the bright center.

number 8 please i will give you so many points

number 8 please i will give you so many points

Answers

(8a) The work done on the block is 2,000 J.

(8b) The energy converted into thermal energy is 1,000 J.

What is the work done on the block?

The work done on the block is calculated by applying the following formula.

W = F x d

where;

F is the applied forced is the displacement of the block

W = 200 N x 10 m

W = 2,000 J

The energy converted into thermal energy is equal o work done by friction force.

W = 100 N x 10 m

W = 1,000 J

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to ensure proper airspace protection while holding at 5,000 feet in a civil aircraft, what is the maximum indicated airspeed a pilot should use?

Answers

To ensure proper airspace protection while holding at5,000 feet in a civil aircraft, the maximum indicated airspeed a pilot should use is 200 knots.

What is meant by indicated airspeed in aviation?

Indicated airspeed means that the speed of an aircraft as shown on pitot static airspeed indicator is calibrated to reflect standard atmosphere adiabatic compressible flow at sea level uncorrected for airspeed system errors.

Indicated airspeed is the airspeed which is read directly from the airspeed indicator on an aircraft and driven by the pitot-static system. It uses difference between total pressure and static pressure, to mechanically or electronically measure dynamic pressure.

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A car was moving a 14 m/s. After 30 seconds, it’s speed increased to 20 m/s. What was its acceleration during this time?

Answers

Answer:

acceleration = 0.2 m/s/s

Explanation:

initial velocity u = 14

final velocity v = 20

time = 30

acceleration = ?

v = u + at

20 = 14 + 30a

30a = 6

a = 0.2 m/s/s

Answer:

For the aceleration we have:

V = Vi + a * t

Being:

V = 20 m/s

Vi = 14 m/s

a = ?

t = 30 s

Then, lets replace acording the formula:

20 m/s = 14 m/s + a * 30 s

Clear "a":

a = (20 m/s - 14 m/s) / 30 s

a = (6 m/s) / 30 s

a = 0,2 m/s²

The aceleration of the car is 0,2 meters per second squared.

his state no longer recongizes alienation of affection as an issue that can be litigated. which motion should

Answers

"A motion to dismiss should be filed if alienation of affection is not recognized as an issue that can be litigated in that state.

In physics, motion is defined as a change in a body's position or orientation over time. Translation is the term for motion along a line or a curve. Rotation is another motion that modifies a body's orientation.

The four types of motion are: linear, rotary reciprocating and oscillating.

Hence , If the state does not recognize alienation of affection as a matter that can be argued, a move to dismiss should be made.

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The question is incomplete, the complete question is:

"His state no longer recognizes alienation of affection as an issue that can be litigated. Which Motion should be filed ?

A colorimetric method calls for the use of 0.1 mL of serum, 5 mL of reagents, and 4.9 mL of water. What is the dilution of the serum in the final solution? A. 1 to 5 B. 1 to 10 C.Hto-50 How many milliliters of concentrated HSO4 (sp. gr assay 97 % ) are required to prepare 10 L of 0.1 N H2SO4? A. 1.84 B. 9.20 C. 27.5 D. 54.4 1.84 g/mL; D. 1 to 100

Answers

The dilution of the serum in the final solution is 0.01 when a colorimetric method calls for the use of 0.1 mL of serum, 5 mL of reagents, and 4.9 mL of water and 54.5mL of H2SO4 required.

Given for a dilution the amount of serum is = 0.1mL

The amount of reagents is = 5mL

The amount of water is = 4.9mL

By adding these all we get the total volume as: 0.1 + 5 + 0.4 =10mL

The dilution of serum will be the amount of serum in total volume of solution such that:

The dilution amount = 0.1/10 = 1/100 = 0.01

Given the volume of H2SO4 = 10L

The % of mass = 97%

The density of H2SO4 = 1.80g/mL

The normality of H2SO4 is = 0.1N

The concentration of H2SO4 = M

M = (97 x 1.8/ 97 x 100) x 1000 = 18M

So, we know that M1V1 = M2V2 such that:

18 x V = 0.1 x 10

V = 5.44 x 10^-2L = 54.4mL

Hence the volume of H2SO4 required is 54.4mL

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PARAPHRASE PLEASE
Accordingly, the U.S. has important economic and national security interests in ensuring a reliable supply of helium.

Answers

The U.S. has highly important national security interest and economic hold in providing a reliable helium supply.

Un atleta tiene en un instante dado una velocidad de 4 m/s. Si a partir de ese instante y durante 2 s adquiere un MRUA con una aceleración de 3 m/s2. Calcula la velocidad que alcanza al cabo de esos 2 s.

Answers

Answer:

Velocidad final, V = 8 m/s

Explanation:

Dados los siguientes datos;

Velocidad inicial, u = 4 m/s

Aceleración, a = 2 m/s²

Tiempo, t = 2 segundos

Para encontrar la velocidad final (v), usaríamos la primera ecuación de movimiento;

V = u + at

Sustituyendo en la fórmula, tenemos;

V = 4 + 2*2

V = 4 + 4

Velocidad final, V = 8 m/s

compared to a coastal location of the same elevation and latitude, an inland location is likely to have:

A)warmer summers and cooler winters
B) warmer summers and warmer winters
C) cooler summers and cooler winters
D) cooler summers and warmer winters

Answers

Answer:

Explanation:

Compared to a coastal location of the same elevation and latitude, an inland location is likely to have **cooler summers and warmer winters** . Coastal climates tend to have wetter winters and drier summers, whereas inland climates have more humid summers and drier winters . Coastal climates are typically limited to narrow strips along the edges of continents, whereas inland climates tend to occur over broad swaths of continental interiors .

I hope this helps answer your question!

A) warmer summers and cooler winters

Suppose you just purchased a bond (Face Value = $1,000) with 20 years to maturity that pays an annual coupon of $38.00 and is selling at par. Calculate the one-year holding period return for each of these two cases:

Answers

In both cases, the one-year holding period returns for the bond investment are negative, indicating a loss. Reinvestment of the coupon payment slightly reduces the loss in the first case.

To calculate the one-year holding period return for each case, we need to consider the annual coupon payment, the change in bond price, and the initial investment. Let's calculate the holding period returns for the two cases:

Case 1: Coupon Reinvestment at Yield Rate

In this case, we assume that the annual coupon payment of $38.00 is reinvested at the yield rate of the bond. Let's assume the yield rate is 3%.

Step 1: Calculate the reinvested coupon payment:

Reinvested coupon payment = $38.00 * (1 + 0.03) = $39.14

Step 2: Calculate the change in bond price:

Since the bond is selling at par, there is no change in bond price.

Step 3: Calculate the total return:

Total return = Reinvested coupon payment + Change in bond price - Initial investment

Total return = $39.14 + $0 - $1,000 = -$960.86

Case 2: No Coupon Reinvestment

In this case, we assume that the annual coupon payment of $38.00 is not reinvested and is held as cash.

Step 1: Calculate the change in bond price:

Since the bond is selling at par, there is no change in bond price.

Step 2: Calculate the total return:

Total return = Coupon payment + Change in bond price - Initial investment

Total return = $38.00 + $0 - $1,000 = -$962.00

In both cases, the total returns are negative, indicating a loss on the investment. The differences in the returns are due to the reinvestment of the coupon payment in Case 1.

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I don’t know this one I need help

I dont know this one I need help

Answers

D
Using the kinetic energy 1/2mv^2 formula
5*10^5 is the answer

How is the answer D?

How is the answer D?

Answers

The graph that corresponds to 0.1 s in one complete cycle is graph D.

option D is the correct answer.

What is the period of a wave?

The period of a wave is the time for a particle on a medium to make one complete vibrational cycle. Period, being a time, is measured in units of time such as seconds, hours, days or years.

Also, the period of a wave is the amount of time it takes for a wave to complete one wave cycle or wavelength.

From the given parameter, the coil rotates 10 times in one second. The period of the coil is calculated as;

Period = 1 s / 10

Period = 0.1 s

From the graphs, the only option that has one complete cycle in one second is option D.

Check option D, half cycle is 0.05 s and one full cycle is 0.1 s.

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Which of the following determines the identity of an atom?

A. atomic mass

B. mass number

C. atomic number

D. charge

Answers

I believe the answer is C

Create a simple series circuit with a 20-volt battery, one 10.0 ohm resistor, and one 15-ohm light bulb. Set the wire resistivity to "tiny" and the battery resistance to 0.0 ohms What is the current in the circuit? 0.5A 0.4 A 0.8A 1.0 A​

Answers

Answer:

O.8A

Explanation:

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