On a sky coaster (human pendulum) that reaches 20 meters from it's equilibrium position, a man of 70 kg is able to reach a maximum speed of

Answers

Answer 1

Answer:

Answer:

Explanation:

Using the principle of conservation of energy, the potential energy is converted to kinetic energy, assuming any losses.

Kinetic energy is given by ½mv²

Potential energy is given by mgh

Where m is the mass, v is the velocity, g is acceleration due to gravity and h is the height.

Equating kinetic energy to be equal to potential energy then

½mv²=mgh

Making v the subject of the formula

v=√(2gh)

Substituting 9.81 m/s² for g and 20 m for h then

v=√(2*9.81*20)=19.799 m/s

Rounding off, v is approximately 20 m/s

Answer 2

Answer:

19.8 m/s

Explanation:

During the motion of a pemdulum bob, it casually converts kinetic energy to potential energy and vice versa.

A pendulum bob reaches its maximum speed at a position closest to its equilibrium position and has its lowest when it is farthest from the equilibrium position.

The maximum speed of a pendulum bob based on the mass involved and the maximum displacement from the equilibrium position is obtained from

Maximum kinetic energy = Maximum potential energy

Maximum potential energy occurs at the farthest point from equilibrium, that is,

P.E(max) = mgh

Maximum kinetic energy = ½mv²

½mv² = mgh

v = √2gh

g = acceleration due to gravity = 9.8 m/s²

h = farthest height from equilibrium position = 20 m

v = √(2×9.8×20) = 19.8 m/s

Hope this Helps!!!

Related Questions

A rod of mass M = 116 g and length L = 49 cm can rotate about a hinge at its left end and is initially at rest. A putty ball of mass m = 14 g, moving with speed V= 6 m/s, strikes the rod at angle A = 37º a distance D=L/4 from the end and sticks to the rod after the collision. (A) What is the total moment of inertia, 1, with respect to the hinge, of the rod-ball-system after the collision? (B) Enter an expression for the angular speed w of the system immediately after the collision, in terms of m, V, D, 0, (C) Calculate the rotational kinetic energy, in joules, of the system after the collision
In this type of bond, electrons are lost or gained by atoms, and the atoms are held together by electrical attraction.a. covalentb. ionicc. partiald. strong
A marble statue has a mass of 6,200 grams and a volume of 2,296 cm3. What is the density of marble?
Amusement parks are a great place to see Newton's laws of motion in action. Choose your favorite ride and describe the parts of the ride that illustrate each of Newton's laws of motion. You are only required to give a written description; however, if you would like, you may draw and label a picture in addition to the paragraph explanation. Please be sure to look at the rubric to see exactly what you are expected to include!
A change in which property of light will have no effect on whether or not the photoelectric effect occurs??? Frequently energy intensity and wavelength

Which explains the greenhouse effect? A.Greenhouse gases like water vapor and carbon dioxide release heat in the atmosphere, thereby radiating heat energy back into space.

B.Greenhouse gases like water vapor and carbon dioxide trap heat in the atmosphere, thereby radiating heat energy back to the surface.

C.Greenhouse gases like water vapor and carbon dioxide trap heat in the atmosphere, thereby radiating heat energy back into space.

D.Greenhouse gases like water vapor and carbon dioxide trap heat in the atmosphere, thereby radiating heat energy back into space.

Answers

Since greenhouse gases are a main cause of global warming, so the answer must be B.

Which body part belongs to the circulatory system?

Answers

Oh, I just realized you asked for a body part, and there is only one body part in the circulatory system, my bad. That would be the heart. But, it also contains veins, arteries, capillaries, and blood. It's main function to pump blood to supply oxygen to the body.

Hope this helps!

the would be ((((((heart )))))) the main part hoped i helped

You mix two clear solutions , instantly your see a bright yellow precipitate form. What type of reaction did your just observe

Answers

precipitation reaction is the reaction that you have just observed.

I think the answer to this question is "a chemical reaction".

The process of a liquid becoming a gas is call what

Answers

Vaporization of a sample of liquid is a phase transition from the liquid phase to the gas phase.

The source of the centripetal force that arises when a runner rounds a curve on a track is _____.tension
friction
weight
gravity

Answers

while taking a turn on a track, the track provides the frictional force acting towards the center of the curve. we know that to move in a curve, centripetal force is required. here since the frictional force acts towards the center, it provides the necessary centripetal force to move in circle. hence the correct choice is

friction

It's actually Friction.

I just did the test and got it right.

A solid aluminum cube has sides each of length L . A second cube of the same material has sides four times the length of the first cube; i.e., 4 L . Compared to the first cube, the total surface area of the second cube is 1. twenty-seven times the first cube. 2. sixteen times the first cube. 3. sixty-four times the first cube. 4. eight times the first cube. 5. twenty-four times the first cube. 6. two times the first cube

Answers

Answer:

Option (2): Sixteen times the first cube

Explanation:

$Surface \: Area \: of \: Cube = 6 {a}^(2)$

$(T.S.A \: of \: larger \: cube)/(T.S.A \: of \: smaller \: cube) = \frac{6 * 16 {l}^(2) }{6 * {l}^(2) } = 16$

When the linear dimensions of a solid are multiplied by ' R ', the surface area of all or any part of it increases by R² , and the volume of all or any part of it increases by R³ .

If the sides of the second cube are 4 times the sides of the first one, then the second cube has (4²) = sixteen times the surface area of the first one (2), and it has (4³) = 64 times the volume of the first one.

Other Questions

A car leaves the pit after a refueling stop and accelerates uniformly to a speed of 62.2 m/s in 5.0 s to rejoin the race. What is the car's acceleration during this time?

What does the term equilibrium refer to?

At which point in the life cycle of a star does nuclear fusion begin?A. Black hole B. Main sequence C. Nebula D. Protostar

Which one of the following statements about vitamins is most accurate? A. Vitamins help produce the immune response. B. Vitamins store energy from carbohydrates, lipids, and proteins. C. Vitamins restrict new tissue growth. D. Vitamin overdose restricts reproductive capacity.