In Chapter 9 we will define the center of mass of an object and prove that its motion is described by the particle under constant acceleration model when constant forces act on the object. A gymnast jumps straight up, with her center of mass moving at 2.80 m/s as she leaves the ground. How high above this point is her center of mass (a) 0.100 s , (b) 0.200 s (c) 0.300 s, and (d) 0.500 s thereafter?

Answers

Answer 1

A position established in relation to an object or set of objects is the center of mass. It represents the system's average location as weighted by each component's mass.

The center of mass for straightforward stiff objects with homogeneous density is found at the centroid. The location where the distribution of mass is constant in all directions called the center of mass.

speed of the gymnast = 2.80 m/s

using the second equation of motion,

s = u t + 1/2 a t ^2

the position at time, t = 0.100 sec

s = (2.80) (0.100) + 1/2 (-9.8 m/s^2) (0.100)^2

s = 0.231 m.

the position at time, t = 0.200 sec

s = 0.364 m.

the position at time, t = 0.300 sec

s = 0.399 m.

the position at time, t = 0.500 sec

s = 0.175 m.

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Related Questions

Each lightbulb provides 90 M of resistance. The batteries are 1.5 V. Calculate the current in your circuit.

Answers

The current in the circuit will be 0.0167 Amperes when a light bulb is providing resistance and the batteries with 1.5 voltage.

What is current?

A stream of charged particles, such as electrons or ions, travelling through an electrical conductor or a vacuum is known as an electric current. The net rate of electric charge flowing through a surface or into a control volume is how it is measured.

What are the calculations?

To calculate current the formula used is V= IR

                                                                 1.5/90 = I

                                                                 0.016 A = I

What is a circuit?

Electronic components such as resistors, transistors, capacitors, inductors, and diodes are connected via conductive wires or traces that allow an electric current to pass between them.

Hence, the current in the circuit will be 0.0167 Amperes when a light bulb is providing resistance and the batteries with 1.5 voltage.

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25. The length of a bow is L. When it vibrates in the fundamental mode with a length of 2 L, the frequency is f. Taking half of the given length and pulling it to a length of 2L as before, the frequency obtained by vibrating in the basic method is,

(i) 3fo

(iv) √3f

(ii) 6fo

(v) √6fo

(iii) f/3​

Answers

Taking half of the given length and pulling it to a length of 2L as before, the frequency obtained by vibrating in the basic method is 6fo. option(ii)

When a bow vibrates in its fundamental mode with a length of 2L, the frequency is denoted as f. Now, let's consider the scenario where half of the given length (L) is pulled to a length of 2L.

In the fundamental mode of vibration, the frequency is inversely proportional to the length of the vibrating object. Therefore, if the length of the bow is halved to L, the frequency would double to 2f.

When this new length of L is pulled to a length of 2L, we need to determine the frequency obtained in the fundamental mode.

Since the frequency is inversely proportional to the length, we can use the inverse relationship to find the new frequency.

If the original frequency was 2f at length 2L, when the length is reduced to L, the new frequency would be (2f)/(2L) = f/L.

Now, if this length of L is stretched to 2L again, the new frequency in the fundamental mode would be (f/L) * (2L) = 2f. option(ii)

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2. What is the reason for spherometer stands on three legs?​

Answers

Answer:

tis unknown

Explanation:

dan dan duuun dun dun

Spherometers have three legs that form an equilateral triangle. Recall from geometry that three points determine a plane, so the three legs will always touch the glass.

How is the biopsychological approach different from the medical model?

Answers

Answer:

Similar to a lock and key, the biomedical model seeks to find a solution that fits the respective problem. Biopsychosocial. The biopsychosocial model is aptly named because of its three essential components: biological, psychological and social ideologies. As a result, the concept of health is viewed as a balance between these three sectors.

Explanation:

hope it helps

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one of the following is constant during change of state?​

Answers

During change of state temperature remains constant. The reason is that the heat supplied is used up in changing the state of matter as it has to work against the force of attraction of molecules

What is the net force acting on the box?
0 285 N
0 185 N
SN
0 85 N
0 65 N

Answers

Answer:

the answer would be D 65N

Explanation:

just got it correct on EDG

what are the answers to the question

Answers

Answer: the link isnt loading

draw a molecule of carbon monoxide, CO, has ____ atoms.

Answers

2 atoms, 1 carbon and 1 oxygen

The half-life of a radioactive isotope is 210 d. How many days would it take for the decay rate of a sample of this isotope to fall to 0.58 of its initial rate?

Answers

It would take approximately 546 days for the decay rate of the sample of this radioactive isotope to fall to 0.58 of its initial rate.

1. The decay rate of a radioactive isotope is proportional to the number of radioactive atoms present in the sample at any given time.

2. The decay rate can be expressed as a function of time using the formula: R(t) = R₀ * \(e^{(-\lambda t\)), where R(t) is the decay rate at time t, R₀ is the initial decay rate, λ is the decay constant, and e is the base of the natural logarithm.

3. The half-life of a radioactive isotope is the time it takes for half of the radioactive atoms in a sample to decay. In this case, the half-life is given as 210 days.

4. Using the half-life, we can find the decay constant (λ) using the formula: λ = ln(2) / T₁/₂, where ln(2) is the natural logarithm of 2 and T₁/₂ is the half-life.

5. Substituting the given half-life into the formula, we have: λ = ln(2) / 210.

6. Now, we need to find the time it takes for the decay rate to fall to 0.58 of its initial rate. Let's call this time "t".

7. Using the formula for the decay rate, we can write: 0.58 * R₀ = R₀ * e^(-λt).

8. Simplifying the equation, we get: 0.58 = \(e^{(-\lambda t\)).

9. Taking the natural logarithm of both sides, we have: ln(0.58) = -λt.

10. Substituting the value of λ from step 5, we get: ln(0.58) = -(ln(2) / 210) * t.

11. Solving for t, we have: t = (ln(0.58) * 210) / ln(2).

12. Evaluating the expression, we find: t ≈ 546.

13. Therefore, it would take approximately 546 days for the decay rate of the sample of this radioactive isotope to fall to 0.58 of its initial rate.

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What is the loudness, in decibels, of a sound 1 trillion times as loud as the softest audible sound?
The loudness of this sound in decibels is _________ dB. (Type an integer or a decimal.)

Answers

Answer:

120 dB

Explanation:

Softest audible sound with intensity, Is

Sound, I, which is 1,000,000,000,000 times as loud ;

I = 1,000,000,000,000 * Is

Loudness of the sound in decibels :

10 log base 10 (1,000,000,000,000 * Is / Is)

= 10 log base 10 (1,000,000,000,000)

= 10 (12)

= 120 decibels

{Earth science} I give brainly!*

Please select the word from the list that best fits the definition


used as evidence for sea-floor spreading

Options~


Magma

Seismograph

Global positioning system

Fossils

Rift zones

Magnetic reversal'

*I only give brainly if you are right lol

Answers

Answer:

The answer is magma

Explanation:

I'm 99.99% this is right

Answer: its magnetic reversal

Explanation: jus took the test make brainly

What is the cost per month to operate an A.C. 10hours per day whose power is 3kW and 1KWH cost 79francs

Answers

The cost of operation for an A.C for 10 hours per day for a month will be 71,100 francs.

What is Power?

Power is the amount of energy transferred or converted per unit time. The unit of power is the watt, equal to one joule per second. Power is a scalar quantity.

Cost of operation for 10 hours a day;

Daily consumption = 3kW x 10 hours

Daily Consumption = 30kW

Since 1kWH = 79 francs;

Daily consumption amount = 30 x 79 francs

Daily consumption amount = 2,370 francs

Therefore, the monthly consumption (using 30days) will be;

2,370 francs x 30 = 71,100 francs

In conclusion, 71,100 francs will be spent in a month (30 days) to run the 3kW rated A.C for 10 hours a day at 1kWH.

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Help me please !!!!!

Help me please !!!!!

Answers

Answer:

confounding cause they had exposure to many programmes

Answer:

Confounding should be your answer please mark brainliest

What happens to the mechanical advantage of a machine if the output force is less than the input force? What must happen to output distance? Give an example of a machine that does this?

Answers

a machine that put in force is a Mechanical

The efficiency of the turbines and generators is 80%

Answers

Answer:

I am confused, is this a true and false answer?

Look at the simple machine shown below and determine the mechanical
advantage.
3.0 m
0.3 m

Look at the simple machine shown below and determine the mechanicaladvantage.3.0 m0.3 m

Answers

Answer:

10.0

Explanation:

Mechanical Advantage = distance moves along the plane/distance moved along the vertical

distance moves along the vertical = 0.3m

distance moves along the plane = 3.0m

Mechanical Advantage = 3.0/0.3

Mechanical Advantage = 10

Hence the mechanical advantage is 10.0

Wanda is afraid of gaining weight and putting herself at high risk for disease. she works out on a regular basis and eats right most of time. recently, Wanda some testing done. her BMI with some 17.2 and her waist circumference is 30 inches. what statement best describes next move for Wanda so she will be at the least risk for disease?​

Answers

Answer:

C. Wanda's waist circumference indicates that she is not at risk, but her BMI indicates that she underweight. She should develop a plan to move her BMI into the normal range.

Explanation:

edge 2020 Brainliest would be appreciated

Answer:

Wanda's waist circumference indicates that she is not at risk, but her BMI indicates that she underweight. She should develop a plan to move her BMI into the normal range.

Explanation:

I just did the Cumulative Exam Review

A car with a mass of 1,400 kg is traveling at a speed of 40 m/s. What is its momentum?
(P=m*v) P=momentum, m=mass, and v=Velocity.

Answers

Answer:

The answer is

56,000 kgm/s

Explanation:

The momentum of an object can be found by using the formula

momentum = mass × velocity

From the question

m = 1400 kg

v = 40 m/s

We have

momentum = 1400 × 40

We have the final answer as

56,000 kgm/s

Hope this helps you



What is the average velocity of a car that travels 12 kilometers in 0.20 hours?

Answers

Answer:

60 km/hr

Explanation:

Looking for km / hr

12 km / (.20 hr) =   60 km/hr

Need help for this Asap please ​

Need help for this Asap please

Answers

The coefficient of static friction between the block of wood and the table is 0.449.

How to calculate the friction

The weight of the block of wood is Mg = 4.0 kg × 9.81 m/s^2 = 39.24 N.

The coefficient of static friction μs is given by the equation μ_s = fs/N, where N is the normal force from the table.

Since the block is not accelerating vertically, we know that N = Mg, so we have:

μs = fs/N = 17.64 N / 39.24 N = 0.449

Therefore, the coefficient of static friction between the block of wood and the table is 0.449.

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A rigid tank contains 2 kg of an ideal gas at 4 atm and 40 C. Now a valve is opened, and half of the mass of the gas is allowed to escape. if the final pressure in the tank is 2.2 atm. The final temperature in the tank is: Hint: make sure you convert the units of temperature and pressure to the proper units

Answers

Answer:

Final Temperature = 71 °C

Explanation:

In this case, the ideal gas equation is written as;

PV = mRT

Where;

P is pressure

V is volume

m is mass

R is gas constant

T is temperature

We will take the volume to be constant.

So, in the initial state, we have;

P1•V = m1•R•T1 - - - eq(1)

In the final state, we have;

P2•V = m2•R•T2 - - - - eq(2)

Combining eq (1) and eq(2),we have;

P1•m2•R•T2 = P2•m1•R•T1

Dividing both sides by R gives;

P1•m2•T2 = P2•m1•T1

Making T2 the subject gives;

T2 = (P2•m1•T1)/(P1•m2)

Now, we are given;

m1 = 2kg

m2 = ½*2 = 1kg

P1 = 4 atm

P2 = 2.2 atm

T1 = 40°C = 273 + 40 K = 313K

Plugging in this values into the T2 equation, we have;

T2 = (2.2 × 2 × 313)/(4 × 1)

T2 = 344 K

Converting to °C, we have;

T2 = 344 - 273 = 71 °C

A student fires a cannonball vertically upwards with a speed of 39m/s. Determine all unknowns and answer the following neglect drag and initial height and horizontal motion of the cannonball. What was the cannonball's maximum height? How long did the cannonball rise? What was the cannonball's total flight time?

Answers

If speed is 39 m/s and neglect drag, Maximum height of cannonball is 156m, rise time is 4s, and total flight time is 7.86 seconds.

Given that a student fires a cannonball vertically upwards with a speed of 39 m/s, and neglecting drag and initial height and horizontal motion of the cannonball, we can determine all unknowns as follows:

Maximum height: The maximum height of the cannonball can be determined using the equation for vertical motion under constant acceleration, which is:

h =\(vi * t - (1/2) * g * t^2,\)

where h: height

vi: initial velocity

t: time

g: acceleration due to gravity (9.8 m/s^2).

As maximum height occurs when the velocity is 0, we can set vi = 39 m/s, and t = (2 * vi) / g, to find that

h = \(39 m/s * t - (1/2) * 9.8 m/s^2 * t^2 = (39 * t) / 2.\)

\((39 * t) / 2 = (39 * (2 * vi) / g) / 2 = (39 * 2 * 39) / (2 * 9.8) = 78 * 39 / 19.6 = 78 * 2 = 156 m.\)

Rise time: The time it takes for the cannonball to rise to its maximum height can be determined using the above equation for maximum height. Plugging in h = (39 * t) / 2, and solving for t, we find that t = (2 * h) / 39.

The rise time is \((2 * h) / 39 = (2 * 156) / 39 = 4 s\)

Total flight time: The total flight time of the cannonball can be determined using the equation for vertical motion under constant acceleration, which is h = \(vi * t - (1/2) * g * t^2\). We know the initial velocity, vi = 39 m/s, and we can set h = 0 (since the cannonball lands back on the ground), to find that t = (2 * vi) / g.

total flight time is \((2 * vi) / g = (2 * 39) / 9.8 = 7.86 s.\)

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4. How do ordinary objects behave in microgravity?
Bubbles rose faster
Bubbles paused
Bubbles kept rising

Answers

Answer:

Bubbles paused

Explanation:

the air bubble doesn't rise because it is no lighter than the water around it—there's no buoyancy. The droplet doesn't fall from the leaf because there's no force to pull it off. It's stuck there by molecular adhesion.

for instance, onto the International Space Station, gravity becomes negligible, and the laws of physics act differently than here on Earth

On Earth, the buoyancy of the air bubbles causes them to rise to the top together, creating a segregation between air and water. However, in microgravity, nothing forces the air bubbles to interact and thus rise together, Green said.

How did the magnet’s density measurement using the Archimedes’ Principle compare to the density measurement using the calculated volume? Which method might be more accurate? Why?

Answers

Answer:

The two methods will yield different results as one is subject to experimental errors that us the Archimedes method of measurement, the the density measurement method will be more accurate

Explanation:

This is because the density method using the calculated volume will huve room for less errors that's occur in practical method i.e Archimedes method due to human error

A car’s velocity as a function of time is given by Vx (t) = α.t + β.t 2 , where α= 3m/s and β= 0.1m/s 3 . Calculate the average acceleration for the time interval

b) t= 5 to t = 10 s

Answers

The definition of average acceleration allows to find the result for the average acceleration in the given time interval is:

          \(a_{average}= 1.5 \ \frac{m}{s^2}\)

Instantaneous acceleration is defined as the derivative of velocity with respect to time.

           a =   \(\frac{dv}{dt}\)

Where a is the acceleration, v the velocity and t the time.

They indicate that the speed of the car is given by the relation.

          v = α t + β t²

With α = 3 m / s and β = 0.1 m / s³

Let's make  the derivative.

           a = α + 2β t

Let's substitute

            a = 3 + 2 0.1 t

Average acceleration is the change in velocity in the time interval.  

          \(a_{average} = \frac{\Delta v}{\Delta t }\)

Let's find the velocity at the indicated time.

For t = 5 s

         v₅ = 3 + 0.1 5²

         v₅ = 5.5 m / s

For t = 10 s

          v₁₀ = 3 + 0.1 10²

          v₁₀ = 13 m / s

Let's calculate the average acceleration.

           \(a_{average} = \frac{13 - 5.5 }{ 10 - 5 }\\\)

           \(a_{average}= 1.5 \ m/s^2\)

In conclusion using the definition of mean acceleration we can find the result for the mean acceleration in the given time interval is:

           \(a_{average} =\)  1.5 m / s²

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The girl in the diagram is accelerating down the hill. What is the girl's acceleration?

m = 50kg

f net = 150 N right

(Hint: Use the formula a=\frac{F}{m}a= m F​.)

A. a = 3 m/s2 A. is correct.

B. a = 5 m/s2

C. a = 150 m/s2

D. a = 6 m/s2​

Answers

Answer:

150÷50=3 and the answer is letter A

A bar has a 20 N weight at one end, as shown in Figure 7.22. You have a weight of 15 N to hang somewhere on the bar so that the bar is in equilibrium. Where would you hang the 15 N weight on each of these bars? Consider the bar to have no mass.​

Answers

The weight of 15N should be hung at a distance of 4/3 units from the fulcrum, on the opposite side of the bar to a weight of 20N.

The fulcrum is attained equilibrium when the principle of moments is equal to zero. The principle of momentum is defined as the body is said to be balanced when the clockwise movement about the point is equal to the anticlockwise movement about the same point.

When a weight of 15N is hung on the bar, it produces an anticlockwise movement with the same magnitude, opposes the clockwise moment produced by the weight of 20N on the fulcrum.

To find the distance (d) at which the 15N weight should be hung, the distance from the 20N weight to the fulcrum is 1 unit.

20×1 = 15×d

d = 20/15

  =4/3 m

Thus, the weight of 15N should be hung by the distance of 4/3 units from the fulcrum, on the opposite side of the bar having the weight of 20N, to make the fulcrum to be at equilibrium.

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the acceleration of a car is 10m/s².if the starts from rest , what will be its speed after 10sec.​

Answers

Answer:

v = 100 m/s

Explanation:

Given:

v₀ = 0 m/s

a = 10 m/s²

t = 10 s

Find: v

v = at + v₀

v = (10 m/s²) (10 s) + 0 m/s

v = 100 m/s

The chart shows data for four heat engines.

Heat Engine

W

Х

Y

Z

Th (K)

620

840

900

500

T. (K)

120

100

300

25

Which lists the engines from most efficient to least efficient?

OY, X, W, Z

OZ, W, X, Y

OZ, X, W, Y

OY, W, X, z

Mark this and retum

Save and Exit

Next

Submit

Answers

Answer:

C. Z, X, W, Y

Explanation:

The correct listing of the engines from most efficient to least efficient is. Z, X, W, Y. The correct option is C.

What is the efficiency of a heat engine?

The efficiency of a heat engine is determined by the ratio of the work output to the heat input. The greater the work output for a given heat input, the higher the efficiency of the engine.

Here in the Question,

To determine which heat engine is the most efficient, we can calculate the efficiency of each engine using the formula:

efficiency = 1 - (T_cold / T_hot),

Where

T_cold =the temperature of the cold reservoir

T_hot = the temperature of the hot reservoir.

Using the data provided in the chart, we can calculate the efficiency of each engine as follows:

Engine W: efficiency = 1 - (120 K / 620 K) = 0.806

Engine X: efficiency = 1 - (100 K / 840 K) = 0.881

Engine Y: efficiency = 1 - (300 K / 900 K) = 0.667

Engine Z: efficiency = 1 - (25 K / 500 K) = 0.950

From the calculations above, we can see that Engine Z is the most efficient, with an efficiency of 0.950. Engine X is the second most efficient, followed by Engine W and then Engine Y.

Therefore, the correct listing of the engines from most efficient to least efficient is option C. i.e Z, X, W, Y.

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A box is being pulled to the right. What is the direction of the gravitational force?

Answers

Answer:the gravitational force is always directed towards the centre of the earth

Explanation:

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