1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Verdich [7]
3 years ago
11

A ball is launched with initial speed v from ground level up a frictionless slope (This means the ball slides up the slope witho

ut rolling). The slope makes an angle θ with the horizontal. Using conservation of energy, find the maximum vertical height hmax to which the ball will climb.
Physics
1 answer:
amid [387]3 years ago
4 0

Answer:

hmax = 1/2 · v²/g

Explanation:

Hi there!

Due to the conservation of energy and since there is no dissipative force (like friction) all the kinetic energy (KE) of the ball has to be converted into gravitational potential energy (PE) when the ball comes to stop.

KE = PE

Where KE is the initial kinetic energy and PE is the final potential energy.

The kinetic energy of the ball is calculated as follows:

KE = 1/2 · m · v²

Where:

m = mass of the ball

v = velocity.

The potential energy is calculated as follows:

PE = m · g · h

Where:

m = mass of the ball.

g = acceleration due to gravity (known value: 9.81 m/s²).

h = height.

At  the maximum height, the potential energy is equal to the initial kinetic energy because the energy is conserved, i.e, all the kinetic energy was converted into potential energy (there was no energy dissipation as heat because there was no friction). Then:

PE = KE

m · g · hmax = 1/2 · m · v²

Solving  for hmax:

hmax = 1/2 · v² / g

You might be interested in
A steady beam of alpha particles (q = + 2e, mass m = 6.68 × 10-27 kg) traveling with constant kinetic energy 22 MeV carries a cu
cluponka [151]

Answer:

Explanation:

q = 2e = 3.2 x 10^-19 C

mass, m = 6.68 x 10^-27 kg

Kinetic energy, K = 22 MeV

Current, i = 0.27 micro Ampere = 0.27 x 10^-6 A

(a) time, t = 2.8 s

Let N be the alpha particles strike the surface.

N x 2e = q

N x 3.2 x 10^-19 = i t

N x 3.2 x 10^-19 = 0.27 x 10^-6 x 2.8

N = 2.36 x 10^12

(b) Length, L = 16 cm = 0.16 m

Let N be the alpha particles

K = 0.5 x mv²

22 x 1.6 x 10^-13 = 0.5 x 6.68 x 10^-27 x v²

v² = 1.054 x 10^15

v = 3.25 x 10^7 m/s

So, N x 2e = i x t

N x 2e = i x L / v

N x 3.2 x 10^-19 = 2.7 x 10^-7 x 0.16 / (3.25 x 10^7)

N = 4153.85

(c) Us ethe conservation of energy

Kinetic energy = Potential energy

K = q x V

22 x 1.6 x 10^-13 = 2 x 1.5 x 10^-19 x V

V = 1.17 x 10^7 V

5 0
3 years ago
A student is building a simple circuit with a battery, light bulb, and copper wires. When she connects the wires to the battery
denis23 [38]
It’s will be B because the circuit had a open or close so if that doesn’t work than it’s because it’s open
5 0
3 years ago
Read 2 more answers
Why does the spectroscopic parallax method only work for main sequence stars?.
Brums [2.3K]

Answer:

Only main sequence stars have a well-defined relationship between spectral type and luminosity.

Explanation:

Low-mass stars have much longer lifetimes than high-mass stars.

5 0
2 years ago
imagine we wanted to use telescopes to look for synestias in the same general part of the milky way galaxy where our solar syste
Naya [18.7K]

We might have a trouble viewing the general part of galaxy because :   the Milky Way's center is so brilliant and filled with stars, it has been particularly challenging for astronomers to examine it because it is impossible to distinguish individual stars and clusters.

<h3>What is a Milky Way ?</h3>

There are many stars, grains of dust, and gas in the Milky Way. It is known as a spiral galaxy because, from the top or bottom, it would appear to be whirling like a pinwheel. About 25,000 light-years from the galaxy's nucleus, the Sun is situated on one of the spiral arms.

The Milky Way galaxy is made up of billions of stars, as well as gas and dust, which are all drawn to one another by gravitational pull, as well as a significant amount of dark matter. Our galaxy is approximately 100,000 light years [e1] across.

To know more about milky way galaxy you may visit the link :

brainly.com/question/2905713

#SPJ4

6 0
1 year ago
A dinner plate falls vertically to the floor and breaks up into three pieces, which slide horizontally along the floor. Immediat
Olegator [25]

Answer:

Explanation:

There will be conservation of momentum along horizontal plane because no force acts along horizontal plane.

momentum of first piece = .320 kg x 2 m/s

= 0.64 kg m/s along x -axis.

momentum of second piece = .355 kg x 1.5 m/s

= 0.5325 kg m/s along y- axis .

Let the velocity of third piece be v and it is making angle of θ with x -axis .

Horizontal component of its velocity = .100 kg x v cosθ = .1 v cosθ

vertical  component of its velocity = .100 kg x v sinθ = .1 v sinθ

For making total momentum in the plane zero

.1 v cosθ = 0.64 kg m/s

.1 v sinθ = 0.5325 kg m/s

Dividing

Tanθ = .5325 / .64 = .83

θ = 40⁰.

The angle will be actually 180 + 40 = 220 ⁰ from positive x -axis.

6 0
2 years ago
Read 2 more answers
Other questions:
  • The astronomer who discovered the dwarf planet Eris suggests there might be another object far beyond the Kupier belt. If this P
    9·1 answer
  • TEST HELP PLEASE!! WILL GIVE MEDAL TO BEST ANSWER!!
    9·2 answers
  • The 8 kg block is then released and accelerates to the right, toward the 2 kg block. The surface is rough and the coefficient of
    8·1 answer
  • 4. Which of the following would be a good reference point to describe the motion of a dog?
    9·1 answer
  • Mrs. Smith does her daily chores. She walks 5 m to the laundry room and then turns around and walks -14 m to the kitchen. The wh
    7·1 answer
  • An incandescent light bulb produces light when electrons flow through the
    15·2 answers
  • (Solidification) You are performing a double slit experiment very similar to the one from DLby shining a laser on two narrow sli
    5·1 answer
  • I NEED HELP ASAP
    15·2 answers
  • A 40 kg dog is sitting on top of a hillside and has a potential energy of 1,568 J. What is the height of the hillside? (Formula:
    10·2 answers
  • If a Ferrari, with an initial velocity of 10 m/s, accelerates at a rate of 50 m/s 2 for 3 seconds, what will its final velocity
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!