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
serg [7]
2 years ago
14

If a ball rolling down a hill is half way between the top and bottom, how much potential energy does the ball have compared to k

inetic energy?
Chemistry
1 answer:
madreJ [45]2 years ago
3 0

Answer:

The gravitational potential energy and kinetic energy of this ball should be equal (assuming that there is no energy loss due to friction.)

Explanation:

The ball loses gravitational potential energy as it rolls down the hill. At the same time, the speed of the ball increases, such that the ball gains kinetic energy.

If there is no friction on this ball (and that the ball did not deshape,) all the gravitational potential energy that this ball lost would be converted to kinetic energy.

If the gravitational field strength g is constant throughout, the gravitational potential energy of an object in that gravitational field would be proportional to its height.

If m denote the mass of this ball, the gravitational potential energy (\rm GPE) of this ball at height h would be {\rm GPE} = (m \cdot g) \cdot h, which is proportional to h\!.

The value of g near the surface of the earth is indeed approximately constant (typically g \approx 9.8\; \rm m \cdot s^{-2}.)

At halfway between the top and bottom of this hill, the height of this ball would be (1/2) of its initial value (the value when the ball was at the top of the hill.) Because the \rm GPE of this ball is proportional to its height, at halfway down the hill, the \rm GPE\! of this ball would also be (1/2)\! its initial value.

However, if there was no friction on this ball (and that the ball did not deshape,) that (1/2) of the initial \rm GPE\! of this ball was not lost. Rather, these (1/2)\! of the initial \rm GPE would have been converted to the kinetic energy (\rm KE) of this ball.

Hence, when the ball is halfway down the hill:

\displaystyle \text{GPE halfway down the hill} = \frac{1}{2}\, \text{Initial GPE}.

\begin{aligned}& \text{KE halfway down the hill}\\  &= \text{Initial GPE} - \text{GPE halfway down the hill}\\ &= \text{Initial GPE} - \frac{1}{2}\, \text{initial GPE}\\ &= \frac{1}{2}\, \text{Initial GPE}\end{aligned}.

Therefore:

\begin{aligned}& \text{GPE halfway down the hill} \\ &= \frac{1}{2}\, \text{Initial GPE} \\ &= \text{KE halfway down the hill}\end{aligned}.

In other words, under these assumptions, when this ball is halfway down the hill, the gravitational potential energy and the kinetic energy of this ball would be equal.

You might be interested in
QUICKKK
Rus_ich [418]

Answer:

need more like a image or somthing but it might be c

4 0
2 years ago
Why does temperature stay constant during a phase change?
Serjik [45]
When a solid is heated , the average kinetic e energy of the substance increases because of which the temperature increases....this heat won’t affect the average kinetic energy of the substance. Since average kinetic energy will remain same during phase change , the temperature will remain same too.
***HOPE THIS HELP YOU***
4 0
3 years ago
Read 2 more answers
1. What number on the periodic table determines the number of electrons lost or gained?
vekshin1

Answer:

1. atomic #

2.The sugar-water is a homogeneous mixture

Explanation:

1.  However, if it has positive ion, then this electron number will go down (ie +2 charge means two electrons have been lost, so the electron/atomic number will go down by two) and vice versa.

2.Sugar dissolves and is spread throughout the glass of water. The sand sinks to the bottom. The sugar-water is a homogenous mixture while the sand-water is a heterogeneous mixture. Both are mixtures, but only the sugar-water can also be called a solution.

8 0
3 years ago
Which list shows the phases of matter in order from the greatest average kinetic energy to the least average kinetic energy per
avanturin [10]

Answer:

.

Explanation:

3 0
2 years ago
The following table lists molecular weight data for a polypropylene material. Molecular Weight Range (g/mol) xi wi
nikklg [1K]

Answer:

a) the number-average molecular weight is 32,400 g/mol

b) the weight-average molecular weight is 36,320 g/mol

c) the degree of polymerization is 770

Explanation:

Given the data in the question;

Molecular                  Mean        Number      Weight      Number        Weight

weight                                                                             average         average

(g/mol)                    Mi(g/mol)         xi                wi          xiMi                  wiMi

8,000-16,000            12,000        0.07           0.03         840                360

16,000-24,000          20,000       0.15           0.09         3000              1800

24,000-32,000         28,000       0.26           0.21          7280              5880

32,000-40,000         36,000       0.27           0.27         9720               9720

40,000-48,000         44,000       0.18            0.28         7920              12320

48,000-56,000         52,000       0.07           0.12          3640              6240

∑                                                                                Mn=32,400     Mw=36,320

so;

a)  the number-average molecular weight

Mn = ∑Mixi

so from the table above; summation of Row Mixi

Mn = ∑Mixi = 32,400

Therefore, the number-average molecular weight is 32,400 g/mol

b) the weight-average molecular weight

Mw = ∑Miwi

so from the table above; summation of Row Miwi

Mw = ∑Miwi = 36,320

Therefore, the weight-average molecular weight is 36,320 g/mol

c) the degree of polymerization

the degree of polymerization of polypropylene can be determined using number-average molecular and repeat unit molecular weight.

now, for polypropylene { CH₂ = CH - CH₃ }

the repeat unit consist of 3 carbon atoms and 6 hydrogen atoms

given that;

Atomic weight of Carbon mC = 12.01 g/mol and

Atomic weight of  Hydrogen mH = 1.008 g/mol

now we find the repeat unit molecular weight of polypropylene

m = nCmC + nHmH

where n is the number of repeat of atoms

so we substitute

m = ( 3 × 12.01) + ( 6 × 1.008)

m = 36.03 + 6.048

m = 42.078 g/mol

now we calculate the degree of polymerization;

DP = Mn / m

so we substitute

DP = 32,400 / 42.078

DP = 769.9985 ≈ 770

Therefore,  the degree of polymerization is 770

3 0
3 years ago
Other questions:
  • When identical particles pack in a simple cubic lattice, there is/are ____ particle(s) per unit cell?
    14·1 answer
  • Which of the compounds h2c2o4, ca(oh2, koh, and hi, behave as bases when they are dissolved in water?
    6·2 answers
  • How is the temperature of the earth partly controlled by carbon?
    15·1 answer
  • What is the number of molecules in 500cm? of oxygen under room conditions?
    13·1 answer
  • For each reaction, write the chemical formulae of the oxidized reactants in the space provided. Write the chemical formulae of t
    10·1 answer
  • FeCl3(aq) + Na3PO4(aq) --> FePO4(s) + NaCl(aq) [unbalanced]
    10·2 answers
  • Define the following IN YOUR OWN HANDWRITING
    14·1 answer
  • Complete the calculation to find the mass of 1 mole of water (H2O). Use the atomic weights given in the periodic table. Select t
    13·1 answer
  • Label the layers of the earth
    8·1 answer
  • 3. In a neutral atom, this element has an atomic mass of 23 AMU and has 11 protons.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!