Two cats jump off a roof that is 23m off the ground. Cat A jumps directly up with a velocity of 7m/s, and cat B jumps directly down with a velocity of 7m/s. How far up does cat A go? How fast does cat A go just before it hits the ground? How fast does cat B go just before it hits the ground? How much longer is cat A in the air than cat B?

Answers

Answer 1

(a) The height reached by cat A is 2.5 m.

(b) The speed of cat A before it hits the ground is 36.4 m/s.

(c) The speed of cat B before it hits the ground is 22.39 m/s.

(d) The time spent in air by cat A than cat B is 1.43 seconds.

Time of motion of cat A

The time of motion of cat A is calculated as follows;

h = vt - ¹/₂gt

-23 = 7t - 4.9t²

4.9t² - 7t - 23 = 0

solve the quadratic equation using formula method;

a = 4.9, b = -7, c = - 23

t = 3.0 seconds

Time of motion of cat B

The time of motion of cat B is calculated as follows;

h = vt - ¹/₂gt

23 = 7t + 4.9t²

4.9t² + 7t - 23 = 0

solve the quadratic equation using formula method;

a = 4.9, b = 7, c = -23

t = 1.57 seconds

Height reached by cat A

h = u²/2g

h = (7²)/(2 x 9.8)

h = 2.5 m

Speed of cat A before it hits the ground

v = u + gt

v = 7  + 3(9.8)

v = 36.4 m/s

Speed of cat B before it hits the ground

v = u + gt

v = 7  + 1.57(9.8)

v = 22.39 m/s

Time spent in air by cat A than cat B

Time difference = 3 s - 1.57 s = 1.43 seconds

Thus, the height reached by cat A is 2.5 m.

The speed of cat A before it hits the ground is 36.4 m/s.

The speed of cat B before it hits the ground is 22.39 m/s.

The time spent in air by cat A than cat B is 1.43 seconds.

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Related Questions

Owen and Dina are at rest in frame S' , which is moving at 0.600 c with respect to frame S . They play a game of catch while Ed , at rest in frame S , watches the action (Fig. P39.75). Owen throws the ball to Dina at 0.800 c (according to Owen), and their separation (measured in S' ) is equal to 1.80 × 10¹²m .(b) According to Dina, what time interval is required for the ball to reach her? According to Ed.

Answers

The total time taken by the ball to reach Dina is  7.5 × 10³ s.

A frame of reference is a set of reference points—geometric points whose positions are known mathematically and physically—that define the origin, orientation, and scale of an abstract coordinate system.

If a body does not continuously adjust its position in relation to its environment throughout the course of time, it is said to be at rest.

In the frame S', Dina and Owen are at rest.

The speed of the ball with respect to Owen, u =0.800c

The speed of the frame S' with respect to frame S,  v = 0.600c

Distance between Dina and Owen, L(p) = 1.8 × 10¹² m

Speed of light, c = 3 × 10⁸ m/s

Therefore, the ball reaches Dina in time:

t = L(p) / u

t = 1.8 × 10¹² m / 0.8c

t = 1.8 × 10¹² m /(0.8)(3 × 10⁸ m/s)

t = 7.5 × 10³ s

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Why is copper particularly useful in electrical circuits?

a very good conductor of heat

support burning

very reactive metal

Answers

Copper is pretty good for conducting electricity. First option (answer). Copper is low on reactivity scale.


A reconnaissance plane flies 629 km away
from its base at 218 m/s, then flies back to its
base at 327 m/s.
What is its average speed?
Answer in units of m/s.
Answer

Answers

218 + 327 = 545/2 = 272.5 m/s

A rectangular tank is filled with water to a depth of 4m. Calculate the pressure at the bottom of the tank. PLEASEEE HELP!!

Answers

The pressure in a liquid at a given depth is called the hydrostatic pressure. This can be calculated using the hydrostatic equation:

P = ρgh

P = (1000 kg/m³)(9.8 m/s²)(4 m)

P = 39200 Pa

Answer:

P = ρgh  

P = (1000 kg/m³)(9.8 m/s²)(4 m)

P = 39200 Pa

Explanation:

In the case of the water stored in a tank, the pressure at its bottom is the weight acting on a unit area of the surface where the tank is kept. To turn that into an equation: Pressure = weight/area, and weight = mass (m) * acceleration due to gravity (g). This means pressure = m * g/ area

If a lightning occurred exactly 1 mile from your location, how many seconds will it take for the sound waves created by the thunder to reach your  ears at 343 m/s?​

Answers

Answer:

5 seconds

Explanation:

sound travels 1 km in roughly 3 secs so 1 mile in roughly 5 secs.

determine the values of mm and nn when the following charge of a proton is written in scientific notation: 0.000000000000000000160 cc . enter mm and nn , separated by commas.

Answers

The value of m = 1.6 and n = -19

What do you understand by charge?

When there are more or fewer protons in an atom than electrons, the substance has an electric charge. While electrons have a negative charge, protons have a positive charge. If a substance has more protons than electrons, it is positively charged; if it has more electrons, it is negatively charged.

The ability to conduct electricity is a characteristic of many fundamental, or subatomic, components of matter. As an illustration, protons and neutrons both have positive charges but electrons have a negative charge.

given:  [tex]q=0.000000000000000000160c[/tex]

Scientific notation of [tex]q= 1.6 X 10^{-19}[/tex]

now compare with the standard form [tex]m X 10^{n}[/tex]

we can say m = 1.6 and n = -19

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Object A has a mass of 100 kg, and Object B has a mass of 75 kg. Both objects are resting motionless on the ground.

Which statement describes the objects’ inertias?


Object A has a greater inertia than Object B.


Object B has a greater inertia than Object A.


Both objects have the same inertias.


Both objects have zero inertia.

Answers

The statement that describes the objects’ inertias is "Object A has a greater inertia than Object B.

What is Newton's first law of motion?

Newton's first law of motion, states that if a body is at rest or moving at a constant speed in a straight line, it will remain at rest or keep moving in a straight line at constant speed unless it is acted upon by a force.

This law is also called the law of inertia because it depends on mass of the object.

The greater the mass of an object, the more reluctant it will be to move.

Thus, the statement that describes the objects’ inertias is "Object A has a greater inertia than Object B.

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A moving body has energy due to its motion. This energy is called

Answers

Answer:

kinetic energy is the answer

Explanation:

kinetic energy is movement

A wire having a mass per unit length of 0.500 g/cm carries a 2.00-A current horizontally to the south. What are (a) the direction

Answers

The direction of magnetic field is towards east.

We have a wire having a mass per unit length carrying 2A current horizontally to the south.

We have to determine the direction of magnetic field intensity.

What is Linear mass density ?

The mass per unit length is called Linear mass density of any linear body. It is denoted by λ. Mathematically -

λ = m/L

According to the question, we have -

Direct your thumb in the direction of the current which is horizontally towards south and curl the remaining fingers. Now, advance in the direction of the current, you will notice that the direction of magnetic field is eastwards.

Hence, the direction of magnetic field is towards east.

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What is the relation between the specific heat capacity of a substance with change
in temperature.

Answers

Answer: The heat capacity and the specific heat are related by C=cm or c=C/m. The mass m, specific heat c, change in temperature ΔT, and heat added (or subtracted) Q are related by the equation: Q=mcΔT. Values of specific heat are dependent on the properties and phase of a given substance.

Explanation:

The area of a typical eardrum is about 5.00 × 10⁻⁵m² .(b) How much energy is transferred to the eardrum exposed to this sound for 1.00 min?

Answers

The energy transferred to the eardrum which was exposed to the sound for 1.00 min is [tex]3 \times 10^{-3} J[/tex]

Given:

Threshold of hearing intensity = I = [tex]1[/tex] × [tex]10^-12W/m^2[/tex]

Area of the ear drum = A = [tex]5[/tex] × [tex]10^5m^2[/tex]

Incident power = P = IA

                          = [tex](1* 10^-12W/m^2(5 * 10^5m^2) =[/tex][tex]5[/tex] ×[tex]10^-17W[/tex]

For threshold of pain  the intensity I = [tex]1.00W/m^2[/tex]

The incident power  at the threshold of pain

P  = [tex](5[/tex] × [tex]10^5m^2( 1.00W/m^2) =[/tex] [tex]5[/tex]× [tex]10^-5W[/tex]

b) Ear drum exposed to this sound  t = 1.00min

                                                              = 60s

Energy transferred to ear drum is  E = P × t

                                                             =  [tex]5 \times 10^{-5} \times 60[/tex]

                                                             = [tex]3 \times 10^{-3}\;J[/tex]

 Hence, [tex]3[/tex] ×[tex]10^-3 J[/tex] energy is transferred to the eardrum exposed to this sound for 1.00 min.

What do you mean by Energy?

The capacity to perform work is known as energy in physics. Potential, kinetic, thermal, electrical, chemical, nuclear, and other types are all possible. As energy is transferred from one body to another, there is also heat and work. Energy is always categorized after it has been transferred based on its nature. As a result, heat transfer may result in thermal energy, whereas labor done may result in mechanical energy.

Motion is a common feature of all energy types. Whenever a body is in motion, for instance, it contains kinetic energy. Even while at rest, a tensioned object like a spring or bow has the ability to move; this is because of the configuration of the object, which carries potential energy. Nuclear energy is similar in that it has potential energy.

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Which could be an example of an unbalanced force?
A. A plate sitting on a dining room table.

B. Earth orbiting the Sun

C. A ball at the top of a hill that is not moving.

D. A baseball that has been thrown to home plate.

Answers

Answer:i think its D

Explanation:

The sound level at a distance of 3.00m from a source is 120dB. At what distance is the sound level (b) 10.0 dB ?

Answers

The sound level at a distance of 3.00m from a source is 120dB at  [tex]9.48*10^{5}\;m[/tex] distance is the sound level 10.0 dB

What do you mean by sound level?

The RMS (root-mean-squared) of the sound pressure measured and averaged over a given length of time is the sound level in decibels. When measured by contemporary integrating sound level meters, measurements are often A-weighted to coincide with the human reaction; see the time-average sound level definition for more information. These measurements are now commonly referred to as the LA eq. Sound pressure is defined as having a sound level when it is compared to a reference sound pressure of 20 Pa using a standard exponential time weighting and a standard frequency weighting. The ratio of the base ten logarithms to the ratio of the sound level in decibels.

(Lw) = 10·log (W/Wo) dB

Given:

Sound level, [tex]Beta = 120\;dB[/tex]

Sound level, [tex]Beta_{a} = 10\;dB[/tex]

r = 3 m

[tex]P = 4\pi r^{2}I\;\;\;\;------equation(1)[/tex]

We know that,

[tex]\beta = 10 \times log(\frac{I}{I_{o} } )[/tex]

Where, [tex]I_{o}=1 \times 10^{-12}\;W/m^{2}[/tex]

Substitute the known value in the sound level equation,

[tex]10 = 10 \times log(\frac{I_{a} }{1 \times 10^{-12} } )[/tex]

[tex]1 = log(\frac{I_{a}}{1 \times 10^{-12} } )[/tex]

[tex]10= \frac{I_{a}}{1 \times 10^{-12} }[/tex]

[tex]I_{a}= 10 \times 1 \times 10^{-12}[/tex]

[tex]I_{a}=1 \times 10^{-11}\;W/m^{2}[/tex]

[tex]P = 4\pi r_{a} ^{2}x_{123} I_{a} \;\;\;\;------equation(2)[/tex]

equation(1) and (2) are equal,

[tex]4\pi r^{2}I = 4\pi r_{a} ^{2}x_{123} I_{a}[/tex]

Simplify the above equation,

[tex]r_{a} = \sqrt{(\frac{I}{I_{a} } )}\;\;r[/tex]

Substitute the known values in the above equation,

[tex]r_{a} = \sqrt{(\frac{1 \times 10^{-12} }{1 \times 10^{-11} } )}\;\times 3[/tex]

By solving the above equation, We get,

[tex]r_{a} = 9.48 \times 10^{5}\;m[/tex]

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What does someone with low self esteem look like

Answers

They feel they are, overall, bad people without any particular skills or value, when they are not.

I hope this helps you

God bless and have an awesome weekend

:)

Oxygen, modeled as an ideal gas, is in a container and has a temperature of 77.0°C. What is the rms-average magnitude of the momentum of the gas molecules in the container?

Answers

The oxygen gas has  root mean square velocity of 1651.67 m/s.

What is specific heat capacity ?

Scientifically, specific heat capacity is the quantity of heat (J) absorbed by a material when its temperature increases 1 K (or 1 °C) per unit mass, expressed as J/(kg K) or J/(kg °C).

Q = mCΔT

Calculation of temperature of oxygen gas is done below using formulae :

V(rms) = √3RT/M

where;

M is molar mass of oxygen gas = 32 g/mol = 0.032 kg/mol

value of gas constant R = 8.314 J/K.mol

T is temperature of the oxygen gas = 77+273 = 350 k

V(rms) = √3RT/M

V(rms) = √(3x8.314x350)/0.032

V(rms) = √87297/0.032

V(rms) = √2728031.25

V(rms) = 1651.67 m/s

Thus, The oxygen gas has root mean square velocity of 1651.67 m/s.

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The freezing point of water is a (physical/chemical) property. The ability of oxygen to react with iron to cause rust is a (physical/chemical) property.

Answers

So the freezing point of water is physical and the ability of oxygen to react with iron to cause rust is chemical

The freezing Point of water is a physical property

The ability of oxygen to react with iron to cause rust is chemical property

Explanation:

5. Whether you are standing, running or jumping Earth is exerting a gravitational force on you. This gravitational force is called an object's weight (W). Knowing this you can find the weight of an object if you know the mass because the acceleration will be 9.8 m/s2 due to gravities pull on the object. The equation to use then is: W = mass x acceleration. What is the weight of a 53 kg man?​

Answers

Answer:

How we know, the equation is:

W = mg

Replacing according our data:

W = 53 kg × 9,8 m/s^2

Resolving:

W = 519,4 N

The weight of the object is of 519,4 Newtons.

Which statements describe a situation in which work is being done? Check all that apply.

Answers

You didn’t submit a photo

What is the difference between a neutralization reaction and a double-displacement reaction? (1 point) Double-displacement reactions are always redox reactions. Double-displacement reactions always involve acids and bases. Neutralization reactions always produce water and a salt. Neutralization reactions are always combustion reactions.

Answers

Answer:

Neutralization reactions always produce water and a salt.

Explanation:

There are different types of chemical reactions that occurs. Two of them are neutralization and double-displacement reaction. Neutralization reaction is the reaction between an acid and a base to give an acid salt and water as products. For example:

2NaOH (base) + H2SO4 (acid) → Na2SO4 (salt) + 2H2O (water)

On the other hand, Double displacement reaction is the reaction that involves an ion exchange between the reactants to form new products. This ionic exchange occurs in such a way that two reactants form two new products. For example:

2NaCl + Ca(NO3)2 → CaCl2 + 2NaNO3

Therefore, the major difference between these two types of reactions is that: NEUTRALIZATION MUST ALWAYS PRODUCE WATER AND SALT AS PRODUCTS.

chang wants to build a circuit that will light up a bulb from a flashlight, and has a battery, switch, wire, and a light bulb.

Answers

The component that Chang could leave out and still be able to light up the bub is the switch.

What is a switch?

The electric circuit refers to a path that is created for the flow of current. We know that current is the movement of electrons. When we connect a circuit, a proper conduit has been set up so that electrons can pass through.

In this case, we have been told that Chang wants to build a circuit that will light up a bulb from a flashlight, and has a battery, switch, wire, and a light bulb.

The component that Chang could leave out and still be able to light up the bub is the switch.

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Missing parts;

Chang wants to build a circuit that will light up the bulb from a flashlight. Which component could Chang leave out and still light up the bulb? the switch the battery the wire the light bulb

Answer:

A) the battery

Explanation:

You are classifying an organism that is unfamiliar to you.
Which characteristic would be most helpful in identifying it?
A. energy source
B. behavior
C. structure
D. communication
O E. movement

Answers

Answer:

I know that we can identify it

Explanation:

C. structure

Answer:

C

Explanation:

In order to know what organism is it, you must obeserve its structure, behavior, movement but the most important is structure.

What can be said about this magnetic field illustration?

A. Magnetic repulsion Is evidernt.

B. The magnetic fleld is weakest in the center of the magnets.

C. The magnetic flow is from north to south within the magnet.

D. The magnetic fleld flows from the north pole of one magnet to the south pole of the other magnet.

E. The magnetic field is weakest at the poles of the magnets.

Answers

Answer:

Magnetic repulsion Is evidernt.

Answer:

The magnetic field flows from the north pole of one magnet to the south pole of the other magnet.

Plato :)

Need help understanding this I dont get it , someone help me understand it please

Answers

Don’t mind the table on top (it’s for a different class) but here’s the answer hopefully it made sense

A particle with electric charge q moves along a straight line in a uniform electric field →E with speed u . The electric force exerted on the charge is qE . The velocity of the particle and the electric field are both in the x direction..(c) What If? If the particle starts from rest at x=0 at t=0 , how would you proceed to find the speed of the particle and its position at time t ?

Answers

A physical field called an electric field surrounds electrically charged particles and attracts or repels all other charged particles nearby. The physical field of a system of charged particles can also be referred to as the electric field.

In a uniform electric field E, a particle with electric charge q moves in a straight line. The speed of the particle is u.

The electric force exerted in the charge is qE.

The electric field and the velocity of the particle are both in the x direction.

Now,

The particle starts from rest i.e. x = 0 and t = 0.

We have the acceleration of the particle as:

a = (du/dt) = (qE/m) (( 1 - (u²/c²) )⁻³/²

Now,

du/ (( 1 - (u²/c²) )⁻³/² = (qE/m) t

Integrating the above equation with limits for x as 0 to u and for t as 0 to t.

We get,

u/(1 - (u²/c²))^{-1/2} = qEt/m

Therefore,

u = (qEct)/[√(m²c² + q²E²t²)]

For the position of the particle:

The position of the particle will be the integration of the speed of the particle in t = 0 to t = t.

Therefore,

x = ∫udt

x = qEc∫ tdt/(√(m²c² + q²E²t²) )

x = (c/qE) ( √(m²c² + q²E²t²) - mc)

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What is ther atomic number of an element that has 2 electrons, 3 protons,
and 4 neutrons?

Answers

Answer:

9

Explanation:

A atomic number is the addition of every number

Which type of motor is shown below?
A.
AC motor
B.
brush motor
C.
DC motor
D.
magnetic motor
E.
split ring motor

Answers

Answer:

AC motor........A

Explanation:

Plato, an AC motor is much simpler than a DC motor.  As alternating current passes through the coil, it becomes magnetized.  Since the current is alternating, the north and south ends keep switching.

Answer:

magnetic

Explanation:

PLATO

Marvin sells luxury cars at a dealership. He earns a 7% commission on his total weekly sales. This week, Marvin sold a $95,000 Benz and an $80,000 BMW. How much commission did he earn this week?

Answers

Answer:

5600 + 6650 = 12250

Explanation:

The section of a longitudinal wave in which the particles are densely packed together
giving an area of high pressure is known as the

Answers

Answer:

compressions or refractions

Explanation:

HELP PLS I CANT FIND THHE ANSWER ANYWHERE IM BEING TIMED TOO!!

Answers

Answer:

I think It's magna! Let me know if It's right.

Your "weight" is properly defined as

Answers

Answer:

how heavy you are and how light you are

Explanation:

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Keitaro walks at a pace of 3 miles per hour and runs at a pace of 6 miles per hour. Each month, he wants to complete at least 36 miles but not more than 90 miles. The system of inequalities represents the number of hours he can walk, w, and the number of hours he can run, r, to reach his goal.3w + 6r 363w + 6r 90A graph shows w on the x-axis, from 0 to 30, and t on the y-axis, from 0 to 24. Two solid lines are shown. The first line has a negative slope and goes through (0, 6) and (12, 0). Everything above and to the right of the line is shaded. The second line has a negative slope and goes through (0, 15) and (30, 0). Everything to the left of the line is shaded.Which combination of hours can Keitaro walk and run in a month to reach his goal?2 hours walking; 12 hours running4 hours walking; 3 hours running9 hours walking; 12 hours running12 hours walking; 10 hours running homologous chromosomes are separated. homologous chromosome are paired. nuclear envelopes form around separated chromosomes. the centrosome replicates. What did the Europeans and the people of the Americas have in common ? What is anomie? According to Durkheim, how does anomie perpetuate crime? How did Durkheim feel about crime and punishment? What do you think of Durkheim's theory? the weight of an organ in adult male has a bell shaped distribution with a mean of 300 grams and a standard deviation of 25 grams. Use the empirical rule to determine the following:a.) About 95% of organs will be between what weights?b.) What percentage of organs weighs between 225 grams and 375 grams?c.) What percentage of organs weighs less than 225 grams or more than 275 grams?d.) what percentage of organs weighs between 275 grams and 275 grams? A computer database uses a binary sequence of 5 bits to represent unique user ids. To increase the number of unique ids that the database is able to represent, the database administrator increases the number of bits in a user id to 8 bits. How many times more unique user ids can be represented with the new system? What is a difference between Newtons laws of motion and Einsteins theory of relativity? lewis dot structure HELP ME PLEASE I need this nowquestion 1 first picture is to this question As x decreases without bound, f(x) increases without bound.As x increases without bound, f(x) approaches the line y = - 4.As x decreases without bound, f(x) approaches zero.As x decreases without bound, f(x) approaches the line y = 4.question 2 the second picture to this questionAs x decreases without bound, f(x) approaches the line y = 6.As x increases without bound, f(x) approaches the line y = 6.As x increases without bound, f(x) increases without bound.As x decreases without bound, f(x) increases without bound. How could the racial background and perspective of a psychologist who is conducting a research subject influence the field of personality psychology? what is group of tasks, and systems of people, and organization, information, and processes, united by a common purpose, that commanders use to accomplish missions and treaning objectives use c , c, java or python (any one) programming language for the following programming exercises. do not call built-in library functions that accomplish these tasks automatically. (examples are sprintf and sscanf from the standard c library.) write a function that receives a string containing a 32-bit hexadecimal integer. the function must return the decimal integer value of the hexadecimal integer. demonstrate your function with a driver program. 2a-18 in algebraic form write the standard form of the equation of the circle with the given characteristics. endpoints of a diameter: (3, 4), (13, 14) What is the effect of Watson critique of the article in paragraph 3 I want to know if C# can be used to solve questions here as well. select all the correct words in the what two words or phrases in this expert form Thanatopsis by william C best help to review the meaning of the word blight as its used in the poem someone PLEASE help me with this asap. If Cindy shoots a ball at a basket 40 timesand scores 15 times, what is theexperimental probability of Cindy scoring? Ancients remains are making the normally flat land hilly what kind of complements is indicated by the bolded word ?