Physics, 11.07.2019 14:00 aderahd7352

Aball is launched with initial speed v from the ground level up a frictionless hill. the hill becomes steeper as the ball slides up; however, the ball remains in contact with the hill at all times. using conservation of energy, find the maximum vertical height hmax to which the ball will climb. express your answer in terms of v and g.

Answers: 2

Show answers

Answers

Answer from: jrassicworld4ever

The ball will rise to a maximum height of $\boxed{h=\dfrac{v^2}{2g}}$ .

Explanation:

The kinetic energy of a body is the energy associated with the body by virtue of its motion whereas the potential energy of the body is the amount of energy stored in a body by virtue of its position.

The amount of kinetic energy stored in a body is given by:

$\boxed{K=\dfrac{1}{2}mv^2}$ ...... (1)

Here, is the kinetic energy, is the mass and is the speed of the body.

The potential energy stored in a body as it reaches its maximum height is given as:

$\boxed{P=mgh}$ ...... (2)

Here, is the potential energy stored, is the acceleration due to gravity and is the height attained by the body.

According to the conservation of energy, the energy can neither be created nor destroyed. It can only be converted from one form to another.

$\text{kinetic energy}=\text{potential energy}$

Substitute the values of kinetic energy and potential energy and simplify the expression for the maximum height.

$\begin{aligned}\dfrac{1}{2}mv^{2}=&mgh_{max}\\h_{max}=&\dfrac{v^2}{2g}\end{aligned}$

Therefore, the maximum height attained by the ball as it rises up is $\boxed{h_{max}=\dfrac{v^2}{2g}}$ .

Learn More:

1. The speed of the quarterback after he throws the ball

2. Average power created by the force acting on the sled to move it

3. The work done on the gas to expand at a constant pressure

Answer Details:

Grade: Senior School

Subject: Physics

Chapter: Conservation of Energy

Keywords:

Ball is launched, ground level, conservation of energy, kinetic, potential energy, motion, maximum height, in contact with hill, vertical height, in terms of v and g.

Answer from: Quest

it becomes positively charged by charging it

Answer from: Quest

there is no correct list among the choices you've provided.

the list might look something like this:

-- baby human

-- piccolo

-- flute

-- soprano singer

-- trumpet

-- tenor singer

-- trombone

-- baritone singer

-- baritone horn

-- bass singer

-- tuba

since i had to make up the list myself, i made it easy on myself, and i didn't try to shuffle the string instruments and woodwinds into it too.

Another question on Physics

Physics, 22.06.2019 00:10

I'm kinda lost ! 1. when marilyn takes her pet dog for a walk, the dog walks at a veryconsistent pace of 0.55 m/s. draw a position-time graph to representmarilyn's dog walking the 19.8 m distance from the front of her house tothe nearest fire hydrant.2. both car a and car bleave school when a stopwatch reads zero. car atravels at a constant 75 km/h, and car b travels at a constant 85 km/h.a) draw a position-time graph showing the motion of both cars. howfar are the two cars from school when the stopwatch reads 2 hrs? calculate the distances and show them on your graph.b) both cars passed a gas station 120 km from the school. when dideach car pass the gas station? calculate the times and show themon your graph.3. the figure below shows the position-time graph showing a shopper'smovement up and down the aisle at a store.a) write a story describing the shopper's movements at the store.b) when does the shopper have a position of 6 m? c) how much time passes between when the shopper enters the aisleand when he gets to a position of 12 m? what is the shopper's averagevelocity between 37 s and 46 s?

Answers: 3

Answer

Physics, 22.06.2019 16:00

From the perspective of an employee that effective channeling of work related information and concerns

Answers: 1

Answer

Physics, 22.06.2019 17:40

Emmy kicks a soccer ball up at an angle of 45° over a level field. she watches the ball's trajectory and notices that it lands, two seconds after being kicked, about 20 m away to the north. assume that air resistance is negligible, and plot the horizontal and vertical components of the ball's velocity as a function of time. consider only the time that the ball is in the air, after being kicked but before landing. take "north" and "up" as the positive ‑ and ‑directions, respectively, and use ≈10 m/s2 for the downward acceleration due to gravity.

Answers: 2

Answer

Physics, 22.06.2019 18:30

A1000-kg car is moving at 30 m/s around a horizontal unbanked curve whose diameter is 0.20 km. what is the magnitude of the friction force required to keep the car from sliding?

Answers: 3

Answer

You know the right answer?

Aball is launched with initial speed v from the ground level up a frictionless hill. the hill become...

Questions