a stone is thrown straight upward and at the top of its path is velocity is momentarily zero what is its acceleration at that point

Answers

Answer 1

When a stone is thrown straight upward and at the top of its path, its velocity is momentarily zero. The acceleration at that point is equal to the acceleration due to gravity, which is approximately 9.81 m/s².

Why is the acceleration at the top of its path due to gravity? The acceleration of the stone is due to gravity because gravity is the only force acting on it at that point. As the stone moves upward, gravity slows it down until it comes to a complete stop at the top of its path. At that point, the stone changes direction and begins to fall back to the ground under the influence of gravity. Therefore, the acceleration at the top of its path is equal to the acceleration due to gravity.

What is the formula for acceleration due to gravity?

The formula for acceleration due to gravity is: a = GM/r²

Where: a = acceleration due to gravity, G = gravitational constant, M = mass of the object attracting the stone (in this case, the mass of the Earth), r = distance between the stone and the center of the Earth (radius of the Earth in this case)

However, in most cases, we can use the average value of acceleration due to gravity, which is 9.81 m/s². This is because the acceleration due to gravity is almost constant at the surface of the Earth.

Learn more about acceleration visit:

brainly.com/question/2303856

#SPJ11


Related Questions

Which of these energy technologies does not rely on a generator to produce electricity? A.hydroelectric. B.wind power. C.thermal solar. D.photovoltaic solar E. geothermal hydroelectric

Answers

The energy technology that does not rely on a generator to produce electricity is D. photovoltaic solar.

Photovoltaic (PV) solar technology directly converts sunlight into electricity using solar panels. It does not require a generator to produce electricity. PV solar systems consist of solar panels made up of photovoltaic cells, which generate electricity when exposed to sunlight.

These cells utilize the photovoltaic effect, a process where sunlight excites electrons in the cells, creating a flow of electricity. The generated electricity can be used immediately or stored in batteries for later use.

This direct conversion of sunlight into electricity distinguishes PV solar technology from other energy technologies that rely on generators for electricity production.

Therefore, the correct option is D. photovoltaic solar

Learn more about Electricity

brainly.com/question/33513737

#SPJ11

a racquetball strikes a wall with a speed of 30 m/s and rebounds in the opposite direction with a speed of 1 6 m/s. the collision takes 5 0 ms. what is the average acceleration (in unit of m/s 2 ) of the ball during the collision with the wall?

Answers

The average acceleration of the racquetball during the collision with the wall is -280 m/s^2.

To find the average acceleration of the racquetball during the collision with the wall, we can use the formula:
Average acceleration = (final velocity - initial velocity) / time

Given that the racquetball strikes the wall with an initial speed of 30 m/s and rebounds with a final speed of 16 m/s, and the collision takes 50 ms (or 0.05 s), we can substitute these values into the formula:
Average acceleration = (16 m/s - 30 m/s) / 0.05 s
Simplifying this equation, we get:

Average acceleration = (-14 m/s) / 0.05 s
Dividing -14 m/s by 0.05 s gives us an average acceleration of -280 m/s^2. The negative sign indicates that the acceleration is in the opposite direction of the initial velocity, which means the ball is decelerating during the collision.
Therefore, the average acceleration of the racquetball during the collision with the wall is -280 m/s^2.
The average acceleration of the racquetball during the collision with the wall can be found using the formula:

average acceleration = (final velocity - initial velocity) / time. Given that the initial speed is 30 m/s, the final speed is 16 m/s, and the collision takes 50 ms (or 0.05 s), we can substitute these values into the formula. By subtracting the initial velocity from the final velocity and dividing by the time, we find that the average acceleration is -280 m/s^2.

The negative sign indicates that the acceleration is in the opposite direction of the initial velocity, meaning the ball is decelerating during the collision.

You can read more about velocity at https://brainly.com/question/80295

#SPJ11

A piano tuner stretches a steel piano wire with a tension of 765 N. The steel wire has a length of 0. 600m and a mass of 4. 50g.

What is the frequency f1 of the string's fundamental mode of vibration?

Express your answer numerically in hertz using three significant figures

Answers

The frequency f₁ of the string's fundamental mode of vibration is approximately 96 Hz, expressed to three significant figures.

The formula used to determine the frequency of a string's fundamental mode of vibration is given by:

f₁ = (1/2L) √(T/μ)

where:

f₁ is the frequency of the string's fundamental mode of vibration

L is the length of the string

T is the tension in the string

μ is the linear mass density of the string

Given values:

L = 0.600 m

T = 765 N

μ = 0.0075 kg/m

By substituting the values into the formula:

f₁ = (1/2L) √(T/μ)

f₁ = (1/2 × 0.600 m) √(765 N/0.0075 kg/m)

f₁ = (0.300 m) √(102000 N/m²)

f₁ = (0.300 m) (319.155)

f₁ = 95.746 Hz ≈ 96 Hz

Learn more about string's fundamental mode  here:-

https://brainly.com/question/29725169

#SPJ11

2.4m-long string is fixed at both ends and tightened until the wave speed is 40m/s .

What is the frequency of the standing wave shown in the figure? (in Hz)

Answers

The frequency of the standing wave on the 2.4m-long string with a wave speed of 40m/s can be determined using the relationship between frequency, wave speed, and wavelength.

To find the frequency, we need to determine the wavelength of the standing wave on the string. In a standing wave, the wavelength is twice the distance between two consecutive nodes or antinodes.

Given that the string is 2.4m long, it can accommodate half a wavelength. Therefore, the wavelength of the standing wave on the string is 2 times the length of the string, which is 2 x 2.4m = 4.8m.

Now, we can use the formula v = fλ, where v is the wave speed, f is the frequency, and λ is the wavelength. Rearranging the formula, we have f = v/λ.

Substituting the values v = 40m/s and λ = 4.8m into the formula, we can calculate the frequency of the standing wave.

f = 40m/s / 4.8m = 8.33 Hz (rounded to two decimal places)

Therefore, the frequency of the standing wave on the 2.4m-long string with a wave speed of 40m/s is approximately 8.33 Hz.

Learn more about Frequency

brainly.com/question/29739263

#SPJ11

g what form would the general solution xt() have? [ii] if solutions move towards a line defined by vector

Answers

The general solution xt() would have the form of a linear combination of exponential functions. If the solutions move towards a line defined by a vector, the general solution would be a linear combination of exponential functions multiplied by polynomials.

In general, when solving linear homogeneous differential equations with constant coefficients, the general solution can be expressed as a linear combination of exponential functions. Each exponential function corresponds to a root of the characteristic equation.

If the solutions move towards a line defined by a vector, it means that the roots of the characteristic equation are all real and equal to a constant value, which corresponds to the slope of the line. In this case, the general solution would include terms of the form e^(rt), where r is the constant root of the characteristic equation.

To form the complete general solution, additional terms in the form of polynomials need to be included. These polynomials account for the presence of the line defined by the vector. The degree of the polynomials depends on the multiplicity of the root in the characteristic equation.

Overall, the general solution xt() in this scenario would have a combination of exponential functions multiplied by polynomials, where the exponential functions account for the movement towards the line defined by the vector, and the polynomials account for the presence of the line itself.

Learn more about: exponential functions

brainly.com/question/29287497

#SPJ11

determine the resultant force acting on the 0.7-m-high and 0.7-m-wide triangular gate

Answers

The resultant force acting on the 0.7-m-high and 0.7-m-wide triangular gate cannot be determined without additional information such as its mass or wind conditions.

To determine the resultant force acting on the triangular gate, we need to consider the individual forces acting on it. In this case, we have the weight of the gate acting vertically downwards and the horizontal force due to any applied pressure or wind.

The weight of the gate can be calculated by multiplying the mass of the gate by the acceleration due to gravity (9.8 m/s²). Since we are given the dimensions of the gate but not its mass, we can assume a uniform density and calculate the volume of the gate. The volume can be found by multiplying the base area (0.7 m * 0.7 m) by the height (0.7 m). Assuming a known density, we can then calculate the weight of the gate.

The horizontal force acting on the gate can be determined by considering external factors such as wind pressure. Wind exerts a force on the gate that can be calculated using the formula F = 0.5 * ρ * V² * A, where ρ is the air density, V is the velocity of the wind, and A is the area of the gate. Without specific wind speed or air density given, we cannot calculate this force accurately.

Therefore, to provide a specific resultant force value, we would need additional information about the gate, such as its mass or specific wind conditions. In the absence of such information, the exact resultant force cannot be determined.

Learn more about resultant

brainly.com/question/27751517

#SPJ11

Final answer:

The resultant force acting on the triangular gate will involve both the forces due to fluid pressure and weight, acting at different points of the gate. One would need to calculate the vector sum of these forces, taking into account their magnitudes, directions, and points of application.

Explanation:

To determine the resultant force acting on the triangular gate, we'd consider both the gravitational and the buoyancy forces acting on the gate. Given that the gate is triangular, the pressure acting on it due to fluid (assuming the gate is submerged in a fluid) would change with depth. If we take the hydrostatic pressure distribution into account, the force due to fluid pressure would act at a distance of one-third the height of the gate from its base. This is because the pressure distribution is triangular. Likewise, the gravitational force (or weight of the gate) will act at the centroid of the triangle.

Because these forces act at different points, there would be a torque involved, causing the gate to rotate. Therefore, the actual resultant force would need to account for both the magnitude and direction of these forces, as well as their point of application.

To calculate the resultant force, one would add up the vectors representing these forces. This can be done using the Pythagorean theorem for the magnitudes and trigonometry for the directions if the forces are not aligned. Graphically, this would involve placing the vectors head to tail and then drawing a resultant from the tail of the first vector to the head of the last.

Learn more about Resultant Force here:

https://brainly.com/question/38275287

#SPJ12

Other Questions
The managers of Movies Plus, a large movie theater, want to practice third-degree price discrimination. The managers have learned that college students have an own price elasticity of demand of 4.0 for tickets at Movies Plus and adults have an own price elasticity of 2.0. If the managers have correctly determined the third-degree profit-maximizing price for adults is $10, what is the third-degree profit-maximizing price to charge students? Select one: A. $5.50 B. $12.00 C. $6.67 D. $15.00 Eight guests are invited for dinner. How many ways can they be seated at a dinner table if the table is straight with seats only on one side?A) 1B) 40,320C) 5040D) 362,880 Determine whether the following are data mining tasks. Provide explanations in favor of your answers. i) Computing the distance between two given data points ii) Predicting the future price of the stock of a company using historical records iii) Extracting the frequencies of a sound wave iv) Examining the heart rate of a patient to check abnormalities you are the ceo of a car manufacturing company, and realize that you may have to lay off 10,000 employees unless you take some other form of action. your chief financial officer comes up with two solutions: the first saves 6,000 jobs, and the second causes the company to lose 4,000 jobs. the first option sounds ideal at first; however, both options give the same outcome of cutting 4,000 jobs and saving 6,000 jobs. this example represents the concept of: n annual marathon covers a route that has a distance of approximately 26 miles. Winning times for this marathon are all over 2 hours. he following data are the minutes over 2 hours for the winning male runners over two periods of 20 years each. (a) Make a stem-and-leaf display for the minutes over 2 hours of the winning times for the earlier period. Use two lines per stem. (Use the tens digit as the stem and the ones digit as the leaf. Enter NONE in any unused answer blanks. For more details, view How to Split a Stem.) (b) Make a stem-and-leaf display for the minutes over 2 hours of the winning times for the recent period. Use two lines per stem. (Use the tens digit as the stem and the ones digit as the leaf. Enter NONE in any unused answer blanks.) (c) Compare the two distributions. How many times under 15 minutes are in each distribution? earlier period times recent period times john f. kennedy was able to carry texas and win the presidency in 1960 because . The following information was extracted from the books of KASTA Business on 31 December Additional information: (i) Withdrawal of RM5,000 from bank account has not been recorded. (ii) Advertising expenses RM65,000 were outstanding. (iii) All non-current assets are depreciated at 30% per annum, using reducing balance method. (v) Closing Inventory RM84,300 fully counted on 31 December. Required: Show all your working. (a) Prepare the Income Statement for the year ended 31 December 2021, and (b) the Balance Sheet as at 31 December 2021 . Is it possible to construct a contradictory sentence in LSL using no sentential connectives other than conjunction and disjunction? If so, give an example. If not, explain why not. Find an equation of the plane. the plane through the point (8,-3,-4) and parallel to the plane z=3 x-2 y determine the resultant force acting on the 0.7-m-high and 0.7-m-wide triangular gate Show That, For Every ACnN A2=Max(AH A). Write the slope -intercept form of the equation of the line containing the point (5,-8) and parallel to 3x-7y=9 Assume that two customers, A and B, are due to arrive at a lawyer's office during the same hour from 10:00 to 11:00. Their actual arrival times, which we will denote by X and Y respectively, are independent of each other and uniformly distributed during the hour. (a) Find the probability that both customers arrive within the last fifteen minutes. (b) Find the probability that A arrives first and B arrives more than 30 minutes after A. (c) Find the probability that B arrives first provided that both arrive during the last half-hour. We can use JS DOM to add event listeners to elements?true or false the area of the pool was 4x^(2)+3x-10. Given that the depth is 2x-3, what is the wolume of the pool? an airplane has crashed on a deserted island off the coast of fiji. the survivors are forced to learn new behaviors in order to adapt to the situation and each other. what is the essential credible commitment problem for rebel groups to lay down their arms for peace? \section*{Problem 2}\subsection*{Part 1}Which of the following arguments are valid? Explain your reasoning.\\\begin{enumerate}[label=(\alph*)]\item I have a student in my class who is getting an $A$. Therefore, John, a student in my class, is getting an $A$. \\\\%Enter your answer below this comment line.\\\\\item Every Girl Scout who sells at least 30 boxes of cookies will get a prize. Suzy, a Girl Scout, got a prize. Therefore, Suzy sold at least 30 boxes of cookies.\\\\%Enter your answer below this comment line.\\\\\end{enumerate}\subsection*{Part 2}Determine whether each argument is valid. If the argument is valid, give a proof using the laws of logic. If the argument is invalid, give values for the predicates $P$ and $Q$ over the domain ${a,\; b}$ that demonstrate the argument is invalid.\\\begin{enumerate}[label=(\alph*)]\item \[\begin{array}{||c||}\hline \hline\exists x\, (P(x)\; \land \;Q(x) )\\\\\therefore \exists x\, Q(x)\; \land\; \exists x \,P(x) \\\hline \hline\end{array}\]\\\\%Enter your answer here.\\\\\item \[\begin{array}{||c||}\hline \hline\forall x\, (P(x)\; \lor \;Q(x) )\\\\\therefore \forall x\, Q(x)\; \lor \; \forall x\, P(x) \\\hline \hline\end{array}\]\\\\%Enter your answer here.\\\\\end{enumerate}\newpage%-------------------------------------------------------------------------------------------------- Which of the following are input into the "Define Scope"process?a) The Scope Statementb) The WBSc) Status Reportsd) The project charter 16. We want money because money is: a. a valuable resource b. a valuable good c. valuable for making exchanges for goods and resources d. All of the above 17. M2 consists of: a. M1 b. small-denomination time deposits c. savings deposits and money market accounts d. All of the above combined 18. In our fractional reserve banking system: a. banks hold reserves equal to only a fraction of their deposits b. the fraction of deposits that must be held is determined by the discount rate c. the discount rate is set by the Secretary of Commerce d. All of the above 19. If the required reserve ratio is 9%, and 4 th Bank receives a deposit of $50,000, how much may 4 th Bank loan out? a. $50,000 b. $45,500 c. $45,000 d. $4,500 20. If Sara Saver earns a 7% interest rate on her savings when the rate of inflation is 3%, her real interest rate is: a. 10% b. 7% c. 4% d. 3%