A man is sitting on a chair with wheels. He grabs a 2.1 kg book from the desk and throws
the book at a speed of 7.2 m/s. His chair moves backward. The man has a mass of 70 kg and
the chair has a mass of 9.2 kg. What is the speed of the man and the chair after the book is
thrown?

Answers

Answer 1

The speed of the man and the chair after the book is thrown is 0.2 m/s.

The given parameters:

mass of the book, m₁ = 2.1 kgspeed of the book, u₁ = 7.2 m/smass of the man, M = 70 kgmass of the book, m = 9.2 kg

The total mass of the man and the book is calculated as follows;

m₂ = 70 kg + 9.2 kg

m₂ = 79.2 kg

The speed of the man and the chair after the book is thrown is determined by applying the principle of conservation of linear momentum;

[tex]m_1 u_1 = m_2u_2\\\\u_2 = \frac{m_1u_1}{m_2} \\\\u_2 = \frac{2.1 \times 7.2}{79.2} \\\\u_2 = 0.2 \ m/s[/tex]

Thus, the speed of the man and the chair after the book is thrown is 0.2 m/s.

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Related Questions

if you dropped a ball and you dropped a hammer will the two objects fall at the same speed or will they fall at a different speed

Answers

Answer:

they would fall at different speeds

Explanation:

The speed at which each falls is dependent on air resistance

Which molecule is a high-energy output of the light reactions?.

Answers

Answer:

Gallium Arsenine

Explanation:

Name two processes that release nuclear energy?

Answers

Answer:  Nuclear energy is released from an atom through one of two processes: nuclear fusion or nuclear fission. In nuclear fusion, energy is released when the nuclei of atoms are combined or fused together. This is how the sun produces energy. In nuclear fission, energy is released when the nuclei of atoms are split apart.

Let me know if it helps!

learning task 2: assess your health status by using the question below try to determine if you are capable to do the physical fitness test .write your answer in your answer sheet​

Answers

To assess your health status, it is necessary to take the physical fitness test, which will determine how healthy you are, according to some questions, such as how often you have seen a doctor, how is your heart, etc.

Some sample questions to assess your health status are:

Have you seen a pshysician?

Whats your heart condition according to your physician?

Are you recommended to do some physical activity?

Do you feel any chest pain if you are not doing physical activity?

This past few days, do you feel any chest pain if you are not doing phsysical activity?

Do you ever lose consciusness or lose your balance because of dizziness?

Do you have any joint or bone injury or problem that could be made worse by performing physical activity?

Therefore, the physical fitness test is necessary so that a person can perform physical activities safely, avoiding injuries and other associated risks.

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ECONOMIC Q‼️
Which of these is a common concern of an economist ?

A-The distributions of populations and earths resources
B-How people have organized the rules and laws of their societies
C-The cultural habits and social customs of societies
D-How well resources are used by a society

Answers

Answer:

D-How well resources are used by a society

Explanation:

Most economists are concerned with practical applications of economic policy in a particular area, such as finance, labor, agriculture, transportation...

Hope this helps luvv :)

how much force is required to accelerate a 12 kg mass at 5 m/s 2

Answers

Answer:

60 N

Explanation:

This is just Newton's Second Law

F = m*a

F = ?

m = 12 kg

a = 5 m/^2

F = 5*12 = 60 Newtons

With no friction, you can use the relationship between potential and kinetic energy to predict the speed of the car at the bottom of this hill from its starting height. To do this start by setting the kinetic and potential energy equations equal to one another

Answers

The speed of the car at the bottom of the hill is obtained as, [tex]v = \sqrt{2gh}[/tex]

According the principle of conservation of energy, the total potential energy of the car will be converted to maximum kinetic energy when the car is at the bottom of the hill.

[tex]K.E = P.E\\\\\frac{1}{2} mv^2 = mgh\\\\v^2 = 2gh\\\\v= \sqrt{2gh}[/tex]

where;

v is the speed of the car at the bottom of the hillh is the height of the hillg is acceleration due to gravity

Thus, the speed of the car at the bottom of the hill is obtained as, [tex]v = \sqrt{2gh}[/tex]

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When the atmosphere is absolutely unstable, the environmental lapse rate is ________ the dry adiabatic lapse rate.

Answers

Answer: greater than

Explanation:

Tommy does 45 Joules of work to push the pencil over 3 meter. How much force did he use?

Answers

Answer:

Work = Force × Distance

Therefore Force = Work/Distance

= 45 joules/3 metres

= 15 newton

Explanation:

Answer:

15

Explanation:

15

What kind of force could cause this ball to not be at rest anymore, or cause it to move?

Answers

Answer:

friction

Explanation

Answer:

Friction

Explanation:

What force prevents an object at rest?

Sliding Friction While static friction keeps an object at rest, sliding friction slows down an object that slides. If you push an object across a room, you notice the sliding friction between the bottom of the object and the floor. You have to keep pushing to overcome the force of sliding friction.

Determine the elastic energy U stored in
the compressed spring.

Answers

Answer:

Answer: The spring constant of the spring is k = 800 N/m, and the potential energy is U = 196 J. To find the distance, rearrange the equation: The equation to find the distance the spring has been compressed is therefore: The spring has been compressed 0.70 m, which resulted in an elastic potential energy of U = 196 J being stored.

Explanation:

A cyclist is coasting at 12 m/s when she comes to a muddy stretch with an effective coefficient of friction of 0.60. Will the cyclist be able to get out of the muddy stretch without having to pedal if it lasts 10 meters

Answers

The cyclist will make it since the distance  traveled by the cyclist is greater than the length of the muddy stretch.

The given parameters;

speed of the cyclist, u = 12 m/scoefficient of friction, μ = 0.6length of the muddy stretch, L = 10 m

The effective acceleration of the cyclist at the given coefficient of friction is calculated as follows;

[tex]a = \ \mu g\\\\a = 0.6 \times 9.8\\\\a = 5.88 \ m/s^2[/tex]

The distance traveled by the cyclist at the give speed and acceleration is calculated as;

[tex]v^2 = u^2 + 2as\\\\12^2 = 0 + 2(5.88)s \\\\ 11.76 s = 144\\\\ s = \frac{144}{11.76} \\\\a = 12.24 \ m[/tex]

Thus, we can conclude that the cyclist will make it since the distance  traveled by the cyclist is greater than the length of the muddy stretch.

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CAN YALL GO FOLLOW MY INS PLSS yeabdagod ​

Answers

Answer:

just followed :)

Explanation:

when you hold a spherical concave mirror with a 48.2-cm radius of curvature in front of your face, you see an image of your face that is 61.8 cm in front of the mirror. what is the distance between the mirror and your face?

Answers

The distance between the mirror and your face is 39.5 cm

Using the mirror formula 2/r = 1/u + 1/v where r = radius of curvature = - 48.2 cm, u = distance between mirror and your face = object distance and v = distance between image and your face = - 61.8 cm. The distances are negative since the image is in front of the mirror and distances to the left of the mirror are negative.

So, making u subject of the formula, we have

2/r = 1/u + 1/v

1/u = 2/r - 1/v

1/u = (2v - r)/rv

u = rv/(2v - r)

Substituting the values of the variables into the equation, wse have

u = -48.2 cm × -61.8 cm/(2 × -61.8 cm - (-48.2 cm))

u = 2978.76 cm²/(-123.6 cm + 48.2 cm)

u = 2978.76 cm²/-75.4 cm

u = -39.51 cm

u ≅ -39.5 cm (The distance is negative since it is in front of the mirror)

So, the distance between the mirror and your face is 39.5 cm

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Surface ocean currents are generated MOSTLY by A) wind. B) tides. C) water density. D) the Coriolis effect.

Answers

Answer:

I think it's D) the Coriolis Effect

Explanation:

Answer: THE ANSWER IS D) the Coriolis effect.

Explanation: I GOT A 100 ON THE TEST

4) An 873kg dragster, starting from rest, attains a speed of 26.3m/s in 0.590s.
A) What was the acceleration of the dragster?
B) What was the net force needed to accelerate the dragster?
C) Assume that the driver has a mass of 68.0kg. What horizontal force does the seat exert on
him?

Answers

Answer:

A.)a=44.57m/s

B.)f=38,909.61

C.)f=666.4

Explanation:

A.) A=v/t 26.3/0.590=44.57

B.) 873kg x 44.57= 38,909.61

C.) 68kg x 9.8=666.4

What is the number of the of significant figures in 2.50400-.pliz, help me l will mark you the brainest.(⊙_◎)​

Answers

Answer:

Number of Significant Figures: 6

The Significant Figures are 2 5 0 4 0 0

Explanation:

Non-zero digits are always significant which are in this case 2,5,4, and Any zeros between two significant digits are significant and final zero or trailing zeros are significant therefore making the entire digit significant.

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The number of significant figures in 2.50400 is ~

[tex] \boxed{6}[/tex]

It takes 4 seconds for a car to completely stop at a red light from a speed of 24 m/s
The car's acceleration is ____ m/s2. Use No decimal and no unit!

Answers

Answer:

6m/s^2

Explanation:

Acceleration is the change in speed/Velocity per unit time. That means the speed divided by the time. 24m/s divided by 4s=6m/s^2

Historia de baloncesto internacional resumen

Answers

Answer:

?

Explanation:

I will give a 5-star answer and Brainlest
Direct contact is necessary for which type of energy transfer?
A. Conduction
B. Sound Waves
C. Convection
D. Radiation

Answers

Answer:

D

Explanation:

 

The half life of carbon-14 is 5730 years. How old is a bone if it presently contains 0.3125 g of carbon-14, but it was estimated to have originally contained 80 g of carbon-14?

Answers

The age of the bone is 45840 years.

We'll begin by calculating the number of half-lives that has elapsed.

Amount remaining (N) = 0.3125 g

Initial amount (N₀) = 80 g

Number of half-lives (n) =?

N × 2ⁿ = N₀

0.3125 × 2ⁿ = 80

Divide both side by 0.3125

2ⁿ = 80 / 0.3125

2ⁿ = 256

2ⁿ = 2⁸

n = 8

Thus, 8 half-lives has elapsed

Finally, we shall determine the age of the bone.

Half-life (t½) = 5730 years

Number of half-lives (n) = 8

Time (t) =?

t = n × t½

t = 8 × 5730

t = 45840 years

Therefore, the age of the bone is 45840 years.

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calculate the density, in g/l, of sf6 gas at 27°c and 0.500 atm pressure.

Answers

The density of the SF₆ gas at the given pressure and temperature is 2.96 g/l.

The given parameters:

temperature of the SF₆ gas, T = 27 ⁰C = 273 + 27 = 300 Kpressure of the SF₆ gas, P = 0.5 atm

The molecular mass of the SF₆ gas is calculated as follows;

M of SF₆ = 32 + (6 x 19) = 146 g/mol

The density of the SF₆ gas is calculated by applying ideal gas law as follows;

[tex]PV = nRT\\\\PV = \frac{m}{M} RT\\\\PM = \frac{m}{V} RT\\\\PM = \rho RT\\\\\rho = \frac{PM}{RT}[/tex]

where;

[tex]\rho[/tex] is the density of the gasR is the ideal gas constant = 0.0821 L.atm/mol.K

[tex]\rho = \frac{0.5 \times 146}{0.0821 \times 300} \\\\\rho = 2.96 \ g/l[/tex]

Thus, the density of the SF₆ gas at the given pressure and temperature is 2.96 g/l.

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I rode my bicycle to grandmother's house at 6 km/h in a flat road for 5 min before reach a hill. I went at 2 km/h up the hill for 3minutes. I met a friend and stopped to talk for 5 minutes. I went on at 2 km/h to my grandmother's house. Draw (plot) the v against t graph for this motion.​

Answers

The graph can be plotted based on the given information which are given

in pairs (velocity and time), and which the coordinate pairs are formed.

Please find attached the required v against t graph created with MS Excel

Reasons:

The given data are presented in a tabular form as follows;

[tex]\begin{tabular}{|c|c|c}\underline{Duration (Minutes)} & \underline{Speed (km/h)}\\0 - 5 &6 \\5 - 8&2\\8 -13&0&\\13- &2&\end{array}[/tex]

The velocity time graph can be plotted using the above table values on

MS Excel using the above table elaborated as follows;

[tex]\begin{tabular}{|c|c|c}\underline{Duration (Minutes)} & \underline{Speed (km/h)}\\0 &6 \\5&6\\5 &2\\8&2\\8&0\\13&0&\\13 &2&\end{array}[/tex]

The attached graph can then be created using the Insert Chart menu

after selecting the data above inputted in the spreadsheet button on MS

Excel.

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if a car travels around a circular track with a radius of 100 m once every 10s what will its average angular velocity around the track be?

Answers

Answer:

0.628 radians per second

Explanation:

Angular velocity

= 2pi/T

= 2(3.14159)/10

= 0.628 radians per second

The average angular velocity around the track is 62.8 m/s, using the circumference of the track as the total distance.

Average angular velocity:

What information do we have?

Radius of track = 100 m

Time taken = 10s

Circumference of track = 2πr

Circumference of track = 2(3.14)(100)

Circumference of track = (2)(314)

Circumference of track = 628 m

Average angular velocity around the track = Circumference of track / Time taken

Average angular velocity around the track = 628 / 10

Average angular velocity around the track = 62.8 m/s

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Prove that the two equations shown below are equivalent.​

F = ma and F = p/t​

Answers

Newton’s Second Law of Motion is defined as Force is equal to the rate of change of momentum. For a constant mass, force equals mass times acceleration.

[tex]\Delta p = mv - mu \\\\\implies \Delta p = m(v-u) \\\\F = \dfrac{\Delta p}{\Delta t} = \dfrac{m(v-u)}{\Delta t} = ma[/tex]

F = ma is the formula of Newton’s Second Law of Motion.

To prove Newton's second law of motion,

Given Force F = Δp/Δt

What is relation between F = ma and F = Δp/Δt?Newton’s Second Law of Motion is defined as Force is equal to the rate of change of momentum. The second law of Newton can be described as the acceleration of an object which produces a net force is directly proportional to the magnitude of the net force, in the same path i.e., direction as the net force, and inversely proportional to the mass of the object.As the acceleration has its magnitude and direction it is a vector quantity.

Proof for F=ma

     Let us consider an object of mass m, moving along a straight line with an initial velocity u, final velocity v and it has some particular time t and thus Momentum can be related as,

For initial velocity u, p1 = m × u

The final velocity v, p2 = m × v

The change in momentum can be expressed as

p2 – p1 = (m × v) – (m × u)

p2 – p1 = m (v – u)

Here, we know that the rate of change of momentum with respect to time is proportional to the applied force.

The applied force F,

F ∝ [m (v – u)]/t

F ∝ m × a

As acceleration (a) is the rate of change of velocity with respect to time.

F = k × m × a

F = ma

where k can be the constant.

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#SPJ2

explain properties and importance of light and how it separates into colours

Answers

Answer:

White light can be separated into different colors using a special lens called a prism. As visible light passes from air into the glass, the change in medium causes a change in direction and speed. Refraction causing the separation of white light into its various color wavelengths is called dispersion.

hope this helps

please answer right please

Answers

Answer:

i think its A

Explanation:

I hope this helps :)

Công thức cộng vận tốc

Answers

Answer:

you are very kind except for your habit

definiciones de estrés

Answers

Answer:

dame la marca más inteligente, por favor

Explanation:

En el campo de la medicina, es la respuesta del cuerpo a una presión física, mental o emocional. El estrés produce cambios químicos que elevan la presión arterial, la frecuencia cardíaca y las concentraciones de azúcar en la sangre. También suele producir sentimientos de frustración, ansiedad, enojo o depresión.

Answer:

El estrés es la reacción del cuerpo al sentirse amenazado o bajo presión.

Explanation:

7. A bus covers a certain distance in 60 minutes if it runs at a speed of 60 km/hr.
What must be the speed of the bus in order to reduce the time of journey by 40
minutes?

Answers

Answer:

90 Km/h

Explanation:

60 mins is 1 hr

so in an hour bus covers 60 Km

so new speed:

d/t

(60km/40mins)*60mins/h

90Km/h

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