jane, looking for tarzan, is running at top speed (5.5 m/s) and grabs a vine hanging 3.9 m vertically from a tall tree in the jungle. if air resistance is neglected, how high can she swing upward? hint: use the conservation of energy.
Answers
Jane, looking for tarzan, is running at top speed (5.5 m/s) and grabs a vine hanging 3.9 m vertically from a tall tree in the jungle. She can swing upward to a height of 1.544 meters.
To determine how high Jane can swing upward when she grabs the vine, we can apply the conservation of energy principle.
The total mechanical energy (E) of Jane can be expressed as the sum of her kinetic energy (KE) and potential energy (PE):
E = KE + PE
Initially, Jane has only kinetic energy since she is running at top speed. When she grabs the vine, all her kinetic energy is converted into potential energy as she starts swinging upward.
The initial kinetic energy (\(KE_{initial\)) is given by:
\(KE_{initial\)= (1/2) * mass * velocity²
where mass is the mass of Jane (which we will assume to be negligible) and velocity is her speed, which is 5.5 m/s.
\(KE_{initial\)= (1/2) * \(5.5^2\)
\(KE_{initial\)= 15.125 J
As she swings upward, her potential energy (PE) increases. At the highest point of her swing, all her initial kinetic energy will be converted into potential energy.
The potential energy (PE) is given by:
PE = mass * gravity * height
where mass is the mass of Jane (which we assume to be negligible), gravity is the acceleration due to gravity (approximately 9.8 m/s²), and height is the maximum height she can swing upward.
Equating the initial kinetic energy to the potential energy at the highest point, we have:
\(KE_{initial\) = PE
15.125 J = mass * gravity * height
Since mass cancels out, we can solve for height:
height = 15.125 J / (mass * gravity)
As the mass is negligible, we can disregard it and calculate the height:
height = 15.125 J / (9.8 m/s²)
height ≈ 1.544 m
Therefore, Jane can swing upward to a height of approximately 1.544 meters.
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Related Questions
Write a C++ program to combine two resistor values, R1 and R2. If the resistors are in series, the will add. That is Rseries =R1+R2. If the resistors are in parallel, they will add inversely. That is, Rparallel =1.0/(1.0/R1+1.0/R2). In your program, ask your user to specify the two resistor values, and ask if they are in series or in parallel. Write a single function that combines the resistances in the appropriate manner if the resistances are in series or parallel. Your function argument list should have three values, the two resistances (which are both type double) and a string indicating "series" or "parallel". The function should return a double that is the net series or parallel resistance, and your program should output this value. Test your code by combining a 100ohm and 50ohm resistance in series and then again in parallel.
Answers
C++ program to combine two resistor values is as follows:```#include
#include
using namespace std;
double resistance_combine(double R1, double R2, string combine_type){
double res_value;
if(combine_type == "series"){
res_value = R1 + R2;
}
else if(combine_type == "parallel"){
res_value = 1.0 / (1.0 / R1 + 1.0 / R2);
}
else{
cout << "Error: combine type can only be 'series' or 'parallel'" << endl;
}
return res_value;
}
int main(){
double R1, R2;
string combine_type;
cout << "Enter the value of R1: ";
cin >> R1;
cout << "Enter the value of R2: ";
cin >> R2;
cout << "Enter the combine type (series/parallel): ";
cin >> combine_type;
double res_value = resistance_combine(R1, R2, combine_type);
cout << "Net resistance value: " << res_value << " ohms" << endl;
return 0;
}`
``In this C++ program, we have created a function named `resistance_combine` that takes three arguments: two resistances (`R1` and `R2`) and a string indicating whether the resistances are in series or parallel. The function checks the `combine_type` argument to determine whether the resistances are in series or parallel.
If the resistances are in series, the function adds them up and returns the result. If the resistances are in parallel, the function adds them inversely and returns the result.
The `main` function asks the user to enter the two resistor values (`R1` and `R2`) and the combine type (`series` or `parallel`). It then calls the `resistance_combine` function with these values and displays the result. The user can test the program by combining a 100ohm and 50ohm resistance in series and then again in parallel.
The `resistance_combine` function is a generic function that can be used to combine any two resistors in series or parallel. It can be easily modified to include more resistors. This program is useful for calculating the total resistance in a circuit when resistors are connected in series or parallel.
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Jonathan and Cody’s older brother Josh, who is pictured in the Figure below, is standing at the top of a half-pipe at Newton’s Skate Park. Gravity is exerting a downward force on the skateboard as seen in the picture. Why doesn’t it tip over the edge and start rolling down the side of the half-pipe?
Answers
Mass(9.8) will give you the force needed to move the skateboard originally
In order to begin moving a Mass (Accelaration) will solve for the force required to move the skateboard. Mass(9.8) will give you the force needed to move the skateboard originally
What is acceleration ?Acceleration can be defined as the rate of change of velocity with respect to time, is a vector quantity associated with both magnitude and direction.
Acceleration can be up two types such as Uniform and Non-uniform acceleration, in a circle where speed remains constant but the direction is changing followed by velocity changes, and the body is said to be accelerated.
The average acceleration can be defined as the total change in velocity in the given interval period of time means the total time taken for the change. For a given interval of time, it is represented as ā.
Instantaneous acceleration can be defined as the ratio of change in velocity in a given time interval such that the time interval goes to zero.
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more nations have gravitated toward the market-based model because
Answers
More nations have gravitated toward the model because it offers several advantages and has proven to be a successful approach in promoting economic growth and development.
Efficiency: The market-based model, characterized by free markets and competition, allows for efficient allocation of resources. It enables individuals and businesses to make decisions based on market forces, such as supply and demand, which leads to the optimal allocation of goods and services. This efficiency promotes productivity and economic growth.
Innovation and Entrepreneurship: The market-based model encourages innovation and entrepreneurship. In a competitive market, businesses are incentivized to develop new products and services to meet consumer demands. This drive for innovation fosters technological advancements, job creation, and economic dynamism.
Individual Freedom: Market-based economies prioritize individual freedom and choice. Individuals have the freedom to make decisions regarding their consumption, production, and employment. This freedom allows for personal initiative, economic mobility, and the pursuit of individual aspirations.
International Trade: Market-based economies promote international trade and globalization. By opening up to international markets, countries can benefit from the exchange of goods, services, and ideas, leading to increased economic opportunities and access to a wider range of resources.
Economic Stability: Market-based economies tend to be more resilient and adaptable to changing circumstances. The decentralized nature of markets allows for self-correction mechanisms, such as price adjustments, in response to economic shocks.
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Nations have gravitated toward the market-based model because it promotes economic growth and efficiency, encourages innovation and investment, and allows for flexibility and adaptation to global trends and demands.
Explanation:More nations have gravitated toward the market-based model because it has been proven to promote economic growth and increase efficiency. The market-based model is based on the principles of supply and demand, competition, and individual choice. When countries adopt this model, it can lead to innovation, entrepreneurship, and investment, which can stimulate economic growth.
For example, countries like the United States and Germany have embraced the market-based model and have experienced significant economic development. They have seen increased productivity, job creation, and technological advancements. Additionally, the market-based model allows for flexibility and adaptation to changing global trends and demands. It encourages free trade and cooperation between nations, fostering a global economy.
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A bus and a Car are traveling along the EDSA having the same velocity. which if the two vehicles would have a greater momentum?a. the busb. the carc. both have the same momentumd. cant be easily determined
Answers
The momentum of an object can be calculated with the formula below:
\(p=mv\)Where p is the momentum, m is the mass and v is the velocity.
The mass of the bus is greater than the mass of the car.
So, if they have the same velocity, the momentum of the bus will be greater.
Correct option: a.
Which component of health-related fitness is developed by performing a wall sit?
A, Body composition
B, Muscular endurance
C, Reaction time
D, Coordination
Answers
Answer:
The answer is Muscular endurance
Explanation:
It is this because your seeing how long your muscles can with stand. I answered by guessing lol.
The ______________model was first summarized by Aristotle and Plato in the 4th Century BC and later updated by Ptolemy, a Greek philosopher, about 100-200 AD. In the model the Earth is motionless at the center of universe.
Answers
Answer:
geocentric- The geocentric model is an Earth-centered model that was first summarized by Ptolemy. In the model the Earth is motionless at the center of Universe.
4. Once the child in the sample problem reaches the bottom of the hill,
she continues sliding along flat; snow-covered ground until she comes
to a stop. If her acceleration during this time is -0.392 m/s², how long
does it take her to travel from the bottom of the hill to her stopping
point?
Answers
Answer:
8.04 seconds
Explanation:
Assuming that the child starts from rest at the bottom of the hill and travels until she comes to a stop, we can use the following kinematic equation:
v_f^2 = v_i^2 + 2ad
where v_f is the final velocity (which is zero since the child comes to a stop), v_i is the initial velocity (which is the velocity at the bottom of the hill), a is the acceleration (-0.392 m/s²), and d is the distance traveled.
We can solve for d:
d = (v_f^2 - v_i^2) / (2a)
= (0 - v_i^2) / (2-0.392)
= v_i^2 / 0.784
Since the child is sliding along flat snow-covered ground, there is no change in elevation, so we can use the distance traveled from the bottom of the hill to the stopping point as the distance d.
To find the time it takes for the child to travel this distance, we can use the following kinematic equation:
d = v_it + 0.5a*t^2
where t is the time and all other variables are as previously defined.
Substituting the expression for d obtained above, we get:
v_i^2 / 0.784 = v_it + 0.5(-0.392)*t^2
Solving for t, we get:
t = (2 * v_i) / 0.392
We still need to find the value of v_i, the initial velocity of the child at the bottom of the hill. To do so, we can use conservation of energy. The child starts at rest at the top of the hill, so all the initial energy is potential energy. At the bottom of the hill, all the potential energy has been converted to kinetic energy. Assuming no energy is lost to friction, we can equate these two energies:
mgh = 0.5mv_i^2
where m is the mass of the child, g is the acceleration due to gravity (9.8 m/s²), and h is the height of the hill.
Solving for v_i, we get:
v_i = √(2gh)
Substituting this expression for v_i into the expression for t obtained earlier, we get:
t = (2 * √(2gh)) / 0.392
Plugging in the values of g, h, and a, we get:
t = (2 * √(29.820)) / 0.392 = 8.04 seconds
A golf ball is initially travelling at 25m/sec hits a sand traps and slow down with an acceleration of -25m/sec. find its displacement after 2.0 sec.
Answers
The displacement of the ball is zero.
What is displacement?
The smallest distance between the initial and final position of an object.
What are the equations of motion?
There are three equations of motion that completely describes the motion of an object.
The first equation of motion gives the relationship between the initial velocity, final velocity, acceleration, and time.
The second equation of motion gives the relationship between the initial velocity, displacement, acceleration, and time.
The third equation of motion gives the relationship between the initial velocity, final velocity, acceleration, and displacement.
Given time, initial velocity, and acceleration, the displacement can be calculated using the second equation of motion. The second equation of motion is,
s=u*t+(1/2)*a*t^2
Here, u=25 m/sec, a=-25 m/sec and t=2.0 sec.
Put the values in the formula and calculate the displacement.
s= (25)*(2.0)+(1/2)*(-25)*(2.0)^2
s=50-50
s=0 m.
Hence the displacement of the ball is zero.
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an object experiences a constant acceleration of along the axis for , attaining a velocity of in a direction from the axis. calculate the initial velocity vector of the object.
Answers
final velocity, v = 16.0 m/s in a direction 45° from the +x axis.
x component of v = , v(x) = 16 cos(45°) = 11.314 m/s
y component of v = , v(y) = 16 sin (45°) = 11.314 m/s
What is acceleration?The speed where the speed increases is known as acceleration. Acceleration typically, but not always, indicates a change in speed. Because of the shifting direction of its velocity, an item moving on a circular route at a constant speed is still accelerating.
The rotation of an object's acceleration is determined by the orientation of the net force exerted on that object.
now as acceleration is along x axis only x component is affected by this acceleration.
let, u(x) be the initial x component of velocity. then
v(x) = u(x) +a*t
11.314 = u(x) + (-2) × 2.7
u(x) = 16.714 m/s
hence initial velocity magnitude = [(u(x))² + (u(y))²]⁰·⁵ = 20.18 m/s
angle of initial vector (θ) = arctan (11.314/ 16.714) = 34.09
hence , initial velocity vector of the object = 20.18 m/s in a direction 34.09 degrees from +x axis
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14.
What is the mass of an object if its gravitational potential energy is 3822 J and it is 15 m above the
ground?
I
Answers
Answer:
Gravitational Potential Energy = mgh
Given The Potential Energy =3822J
h=15m
Making Mass subject
Mass = PE/gh
=3822/9.8x15
=26kg.
Have a great Day✌✅
The electric current through a wire varies with time as shown
The total charge flown across any cross section of the wire in time interval 0-T is
Answers
The total charge flown across any cross section of the wire in time interval 0-T is determined from the area under the curve as ¹/₂i₀T.
option (2) is the correct answer.
What is the total current flowing in the wire?The total charge flown across any cross section of the wire in time interval 0-T is calculated as follows;
The total charge flowing = area under the curve
area under the curve = ¹/₂ x base of the triangle x height of the triangle
area under the curve = ¹/₂ x T x i₀
area under the curve = ¹/₂i₀T
Thus, the total charge flown across any cross section of the wire in time interval 0-T is determined from the area under the curve as ¹/₂i₀T.
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Based on what you have seen, what must be true for a circuit to light a bulb?
There has to be a lightbulb and conductor (wires).
There has to be an energy source (a battery).
There can't be any gaps in the path.
All of the above.
Answers
Answer:
All of the above
Explanation:
A circuit must have wires, a light bulb, a battery and no gaps if u want to light up a bulb.
a body of mass 30 kg moving north a velocity of 0.5 ms-1 subjected of 15 N North for 2.7 s.
No need to explain just give me the answer I’m in a test thanks
Answers
Question: a body of mass 30 kg moving north a velocity of 0.5 ms-1 subjected of 15 N North for 2.7 s. Calculate the final velocity of the body.
Answer:
14 m/s
Explanation:
From the question,
F = ma......................... Equation 1
make a the subject of the equation
a = F/m....................... Equation 2
Given: F = 15 N, m = 30 kg.
Substitute these values into equation 2
a = 15/3
a = 5 m/s².
Using,
a = (v-u)/t.................... Equation 3
Where v = final velocity, u = initial velocity, t = time.
Given: u = 0.5 m/s, t = 2.7 s and a = 5 m/s²
Substitute these values into equation 3
5 = (v-0.5)/2.7
(v-0.5) = 5×2.7
v-0.5 = 13.5
v = 13.5+0.5
v = 14 m/s
With an average mass of only 30.0 gthe mouse lemur of Madagascar the smallest primate on Earth. Suppose this lemur swings on a light vine with a length of 2.4 m, so that the tension in the vine at the bot- tom point of the swing is 0.393 N. What is the lemur's tangential speed at that point?
Answers
Suppose that Reid weighs 72 kg. 2. The mouse macaque of India is the shortest primate on Earth, with an average weight of just 30.0 g. Imagine that this lemur swings
What does the statistical term "average" mean?
Average. In everyday speech, a average is a specific number chosen to represent a collection of figures. In various settings, various average ideas are utilized. The word "average" frequently refers to the mathematical mean, which is the total of the values divided by the number of numbers being averaged. Statistical terms: mean, median
What are the several definitions of average?
In various settings, various average ideas are utilized. The word "average" frequently refers to the mathematical mean, which is the total of the integers divided by the amount of numbers being averaged. Mean, average, and mode all are considered measures of normal distribution in statistics, and in common parlance, any of these could be referred to as an average figure.
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Which wind blows 30 latitude in both hemisphere almost to the equator
Answers
Hope it help
Four landing sites are proposed for a lander. Data about the sites are listed in the table. A 3 column table with 4 rows. The first column is labeled landing site with entries W, X, Y, Z. The second column is labeled height above surface in meters with entries 32, 16, 35, 12. The last column is labeled acceleration due to gravity in meters per second squared with entries 1. 6, 3. 7, 1. 6, 3. 7. At which landing site would the lander have the greatest amount of gravitational potential energy? W X Y Z.
Answers
Answer:
its B just finished
Explanation:
Answer:
The answer above is correct! The correct option is B.
Explanation:
Just took the review on edge :)
Hope this helped - brainliest would be appreciated!
Have a great day everyone :D
Who first elaborated a theory that explained the relationship between space, time, energy, and mass? enrico fermi jonas salk albert einstein charles richard drew
Answers
Albert Einstein's 1905 theory of special relativity is one of the most important papers ever published in the field of physics. Special relativity is an explanation of how speed affects mass, time and space.
What is mass?In physics, mass is a quantitative measurement of inertia, a basic characteristic of all matter. It essentially refers to a body of matter's resistance to changing its speed or position in response to the application of a force. The change produced by an applied force is smaller the more mass a body has. The kilogram, which is defined as equal to 6.62607015 1034 joule second in terms of Planck's constant, is the unit of mass in the International System of Units (SI). A joule is equal to one kilogram multiplied by one square meter per second. The kilogram is determined by precise measurements of Planck's constant since the second and the metre have already been defined in terms of other physical constants.To learn more about resistance refer to:
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Answer: its C- Albert Einstein
Explanation: the person above me is right and I also got it right on the test.
2 soccer players kick a ball at the same instant. one strike a force of 40N at 0° and the other 30N at 90° from positive x axis. find the resultant force on the ball
Answers
The resultant force on the ball is 50 N.
What is resultant force?Reusltant force can be defined as the sum of the force acting on a object.
Note: From the question, the forces from both kicks are at right angle to each other.
And to calculate the resultant force on the ball, we use the formula below.
Formula:
R = √(P²+Q²)........... Equation 1From the question,
Given:
P = 40 NQ = 30 NSubstitute these values into equation 1
R = √(40²+30²)R = √(1600+900)R = √(2500)R = 50 NHence, the resultant force on the ball is 50 N.
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Which of the following is the highest ranking taxa into which living organisms are classified in Linnaean taxonomy?
Answers
Answer:
Im pretty sure its kingdom
Explanation:
I have a test with the same question and I got it right putting the answer as kingdom.
what is the dimension of resistivity
Answers
Answer:
Are you looking for the formula? because if so:
M L^2 T^-3 I^-2
Explanation:
May I have brainliest please? :)
Why is gravity so weird?
Will mark as brain list
Answers
Answer:
No force is more familiar than gravity — it's what keeps our feet on the ground, after all. And Einstein's theory of general relativity gives a mathematical formulation for gravity, describing it as a “warping” of space.
a helicopter blade spins at exactly 120 revolutions per minute. its tip is 6.00 m from the center of rotation. (a) calculate the average speed (in m/s) of the blade tip in the helicopter's frame of reference. 75.4 correct: your answer is correct. seenkey 75.4 m/s (b) what is its average velocity (in m/s) over one revolution?
Answers
The average speed of the blade tip in the helicopter's frame of reference is 75.4 m/s The average velocity over one revolution is 360 m/s, as the blade tip covers a distance of 6 m over one revolution.
The average speed is the total distance traveled by an object in a particular time interval. It is a scalar quantity, meaning it does not include any direction information. To calculate the average speed, you need to divide the total distance traveled by the total time it took to travel that distance. The unit for average speed is typically meters per second (m/s) and it is an important measure for understanding the motion of objects.
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Which of the following is a true statement?
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(d) At certain frequency w silver has the index of refraction n = 0.006 and the extinction index K = 3.524. Estimate the approximate relationship of w, with respect to the plasma frequency wp for silver and calculate the reflectance. [5] (e) A certain intensity distribution of diffracted pattern produced by a remote, unknown aperture has been measured on a remote screen in an experiment. Describe how to reconstruct the aperture from this data.
Answers
The relationship between the plasma frequency wp and the refractive index
nwp² = n² + k²
The plasma frequency wp for a material is defined as the frequency at which its refractive index becomes equal to 1. Hence, for silver, at w = wp: 0.006 = sqrt(1 - k²) and 3.524 = kwp = wp*sqrt(1 - 0.006²)wp = 1.39 * 10^16 rad/sNow, let's calculate the reflectance. We know that the reflectance R of a thin film of thickness t on a substrate with refractive index n is given by
R = ((n² + k²) - 1)/(n² + k² + 1)
In the case of silver, we can assume that the film is so thin that the reflectance will be equal to that of the bulk material, which we can find from the refractive index. Hence,R = ((0.006² + 3.524²) - 1)/(0.006² + 3.524² + 1) = 0.995So the reflectance is approximately 0.995.e) The diffraction pattern produced by a remote aperture can be described using the Fourier transform of the aperture function.
If we know the intensity distribution of the diffraction pattern, we can use the inverse Fourier transform to obtain the aperture function. However, this process is not always straightforward, especially if the diffraction pattern has noise or the aperture is not a simple shape.To reconstruct the aperture from the diffraction pattern, we can use techniques such as phase retrieval or iterative algorithms. These methods involve making assumptions about the aperture and iteratively refining the aperture function until it matches the observed diffraction pattern. The specific algorithm used will depend on the details of the experiment and the aperture function being reconstructed.
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What does it mean that photographs are two-dimensional?
Answers
Calculating Displacement from the Area under a Curve Try Use the graph to answer the question What is the total displacement of the object after 5 seconds? Velocity vs. Time m 70 Velocity (m/s) 60 50 40 30 20 10 0 0 1 2 3 4 5 Time (s) Done Intro 15 of 18
Answers
Answer:
175 m
Explanation:
In a velocity vs time graph, displacement is the area under the curve.
We can calculate this as area of a trapezoid:
A = ½ (10 m/s + 60 m/s) (5 s)
A = 175 m
Or, we can split the area into a rectangle and a triangle.
A = (10 m/s) (5 s) + ½ (60 m/s − 10 m/s) (5 s)
A = 175 m
Answer:
175 m
Explanation:
In a velocity vs time graph, displacement is the area under the curve.
We can calculate this as area of a trapezoid:
A = ½ (10 m/s + 60 m/s) (5 s)
A = 175 m
Or, we can split the area into a rectangle and a triangle.
A = (10 m/s) (5 s) + ½ (60 m/s − 10 m/s) (5 s)
A = 175 m
Hope this helps :)
What is the resistance of a light bulb if a potential difference of 120 V will produce a current of 0.5 A in the bulb?
0.0042 0
0 0.5 0
O 60 n
O 240 h
Answers
Explanation:
Remember
V = IR which is V/I = R 120 v / .5 A = 240 Ω
how are the variables speed and velocity different? how are they similar
Answers
Suppose a spectral line of hydrogen, normally at 500 nm when measured in a lab on Earth, is observed in the spectrum of a star to be at 500.3 nm. This is called a red shift because the wavelength is longer (and red is on the long-wavelength side of the visible spectrum). How fast is the star moving away from Earth? Give your answer in m/s. Hint: follow example 5.6. Compare in particular to the "Check your learning" calculation, and note that larger Δλ means larger speed.
Answers
The star is moving away from Earth at a velocity of 1.8 x 106 m/s.
The Doppler Effect describes the shift in wavelength of a wave when the source is moving in relation to the observer. The shift can be observed in sound waves, light waves, and other waves.
The Doppler Effect can be used to determine the velocity of objects moving away from an observer, as in the case of stars moving away from Earth.
The velocity of a star moving away from Earth can be determined using the equation:
v = Δλ/λ x c, Where v is the velocity of the star, Δλ is the shift in wavelength of the spectral line, λ is the wavelength of the spectral line measured in the lab on Earth, and c is the speed of light (3.00 x 108 m/s).
In this case, the shift in wavelength of the spectral line is Δλ = 500.3 nm - 500 nm = 0.3 nm.
The wavelength of the spectral line measured in the lab on Earth is λ = 500 nm.
Plugging in these values to the equation above: v = Δλ/λ x cv = (0.3 nm / 500 nm) x (3.00 x 108 m/s) = 1.8 x 106 m/s.
Therefore, velocity of star 1.8 x 106 m/s.
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WILL GIVE BRAINLIST
brief history of coal. the inventors of who discovered coal and when was it first used.
Answers
Answer:
Coal was one of man's earliest sources of heat and light. The Chinese were known to have used it more than 3,000 years ago. The first recorded discovery of coal in this country was by French explorers on the Illinois River in 1679, and the earliest recorded commercial mining occurred near Richmond, Virginia, in 1748
Explanation: