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
UNO [17]
3 years ago
7

9.58 A spring of equilibrium length L1 and spring constant k1 hangs from the ceiling. Mass m1 is suspended from its lower end. T

hen a second spring with equilibrium length L2 and spring constant k2 is hung from the bottom of m1. Mass m2 is suspended from this second spring. How far is m2 below the ceiling

Physics
1 answer:
andrey2020 [161]3 years ago
4 0

Answer:

The distance of m2 from the ceiling is L1 +L2 + m1g/k1 + m2g/k1 + m2g/k2.

See attachment below for full solution

Explanation:

This is so because the the attached mass m1 on the spring causes the first spring to stretch by a distance of m1g/k1 (hookes law). This plus the equilibrium lengtb of the spring gives the position of the mass m1 from the ceiling. The second mass mass m2 causes both springs 1 and 2 to stretch by an amout proportional to its weight just like above. The respective stretchings are m2g/k1 for spring 1 and m2g/k2 for spring 2. These plus the position of m1 and the equilibrium length of spring 2 L2 gives the distance of L2 from the ceiling.

You might be interested in
2. A rocket blasts off vertically from rest on the launch pad with a constant upward acceleration of 2.5 . At 30.0 s after blast
harina [27]

Answer:

a)The highest point reached by the rocket is 1412 m

b)The rocket crashes after 54.7 s

Explanation:

Hi there!

The equations of height and velocity of the rocket are the following:

h = h0 + v0 · t + 1/2 · a · t² (while the engines work).

h = h0 + v0 · t + 1/2 · g · t² (when the rocket is in free fall).

v = v0 + a · t (while the engines work).

v = v0 + g · t (when the rocket is in free fall).

Where:

h = height of the rocket at a time t.

h0 = initial height of the rocket.

v0 = initial velocity.

t = time.

a = acceleration due to the engines.

g = acceleration due to gravity (-9.8 m/s² considering the upward direction as positive).

v = velocity of the rocket at a time t.

First, let's find the velocity and height reached by the rocket until the engines fail:

h = h0 + v0 · t + 1/2 · a · t²

Let's set the origin of the frame of reference at the launching point so that h0 = 0. Since the rocket starts from rest, v0 = 0. So after 30.0 s the height of the rocket will be:

h = 1/2 · a · t²

h = 1/2 · 2.5 m/s² · (30.0 s)²

h = 1125 m

Now let's find the velocity of the rocket at t = 30.0 s:

v = v0 + a · t (v0 = 0)

v = 2.5 m/s² · 30.0 s

v = 75 m/s

After 30.0s the rocket will continue to ascend with a velocity of 75 m/s. This velocity will be gradually reduced due to the acceleration of gravity. When the velocity is zero, the rocket will start to fall. At that time, the rocket is at its maximum height. So, let's find the time at which the velocity of the rocket is zero:

v = v0 + g · t

0 = 75 m/s - 9.8 m/s² · t (v0 = 75 m/s because the rocket begins its free-fall motion with that velocity).

-75 m/s / -9.8 m/s² = t

t = 7.7 s

Now, let's find the height of the rocket 7.7 s after the engines fail:

h = h0 + v0 · t + 1/2 · g · t²

The rocket begins its free fall at a height of 1125 m and with a velocity 75 m/s, then, h0 = 1125 m and v0 = 75 m/s:

h = 1125 m + 75 m/s · 7.7 s - 1/2 · 9.8 m/s² · (7.7 s)²

h = 1412 m

The highest point reached by the rocket is 1412 m

b) Now, let's calculate how much time it takes the rocket to reach a height of zero (i.e. to crash) from a height of 1412 m.

h = h0 + v0 · t + 1/2 · g · t² (v0 = 0 because at the maximum height the velocity is zero)

0 = 1412 m - 1/2 · 9.8 m/s² · t²

-1412 m / -4.9 m/s² = t²

t = 17 s

The rocket goes up for 30.0 s with an acceleration of 2.5 m/s².

Then, it goes up for 7.7 s with an acceleration of -9.8 m/s².

Finally, the rocket falls for 17 s with an acceleration of -9.8 m/s²

The rocket crashes after (30.0 s + 7.7 s + 17 s) 54.7 s

6 0
3 years ago
A bucket of water experiencing a gravitational force of 525 N is pulled from a water well. Net force in the Y direction is 45 N
vivado [14]

Answer:

T = 570 N

Explanation:

Given that,

The gravitational force acting on a bucket of water = 525 N

Net force in the Y direction is 45 N

We need to find the magnitude of the force of tension. It can be calculated as :

45 = T - 525

T = 525 + 45

T = 570 N

Hence, the force of tension is 570 N.

7 0
2 years ago
A force pointing in the xx-direction is given by F=ax3/2F=ax3/2, where aa is a constant. The force does 2.01 kJkJ of work on an
damaskus [11]

Answer:

Explanation:

Given that

F=ax^3/2. a is a constant

The force does a work of

W=2.01KJ from x=0 to x=15.2m

We need to find a

Work is give as,

W=∫F.ds

But this is in x direction only then,

W=∫Fdx. from x=0 to x=15.2m

W=∫ax^3/2dx from x=0 to x=15.2m

W=ax^(3/2+1)/(3/2+1).

W=ax^(5/2)/5/2

W=ax^(2/5)/2.5 from x=0 to x=15.2m

Cross multiply

2.5W=ax^2.5. from x=0 to x=15.2m

2.5W= a (15.2^2.5-0)

W=2.01KJ=2010J

2.5×2010=a×900.76

Therefore,

a=5.56

7 0
2 years ago
The earth has a mass of 5.98 × 10^24 kg and the moon has a mass of 7.35 × 10^22 kg. The distance from the centre of the moon to
Leokris [45]

Answer:

F = 4.48N

Explanation:

In order to calculate the net gravitational force on the rocket, you take into account the formula for the gravitational force between two objects, which is given by:

F=G\frac{m_1m_2}{r^2}         (1)

G: Cavendish's constant = 6.674*10^-11 m^3kg^-1s^-2

r: distance between the objects

You have a rocket at the middle of the distance between Earth and Moon, then, you have opposite forces on the rocket.

If you assume the origin of a system of coordinates at the rocket position, with the Moon to the left and the Earth to the right, you have:

F=G\frac{M_em}{r_1^2}-G\frac{M_mm}{r_2^2}       (2)

Me: mass of the Earth = 5.98*10^24 kg

Mm: mass of the Moon = 7.35*10^22 kg

m: mass of the rocket = 1200kg

r1: distance from the rocket to the Earth = 3.0*10^8m

r: distance between rocket and Moon = 3.84*10^8m - 3.0*10^8m = 8.4*10^7m

You replace the values of the parameters in the equation (2):

F=Gm[\frac{M_e}{r_1^2}-\frac{M_m}{r_2^2}]\\\\F=(6.674*10^{-11}m^3kg^{-1}s^{-2})(1200kg)[\frac{5.98*10^{24}kg}{(3.0*10^8m)^2}-\frac{7.35*10^{22}kg}{(8.4*10^7m)^2}]\\\\F=4.48N

The net force exerted over the rocket is 4.48N

4 0
3 years ago
Which description best explains a molecular bonding?
poizon [28]

Explanation:

Which description best explains a molecular bonding? Shares electrons

A covalent bond is also known also known as molecular bonding because sharing of electrons occur between two or more atoms.

  • Molecular bonds are formed between two or more atoms having zero or very small electronegativity difference between them.
  • This bond type exists between molecules of non-metals.
  • Each of the atom tends to share the valence electrons in their outer energy levels to be able to mimic the noble gas structure.
  • This bond type results in formation of molecules.

Learn more:

Covalent bonds brainly.com/question/6029316

#####

Isotopes of the same elements always have the same Z-number

Isotopes of an element have the same electronic configuration hence they have the same chemical properties.

  • isotopy is the existence of two or more atoms of the same element having the same atomic number but different mass numbers.
  • This is due to the differences in the number of neutrons in their various nuclei.

  A- number is the mass number or atomic mass number of an atom.

  Z-number is the atomic number of an atom

Isotopes have the same atomic number.

Learn more:

Isotopes brainly.com/question/4551913

#####

Some of the heavy particles bounced off the foil, because there is a dense, positive area in the atom.

  • Rutherford performed an experiment that gave that atomic model a significant leap.
  • He found out most alpha particles passed through the foil while a few of them deflected back.
  • He proposed that an atom is made up of a small positively charge center where nearly all the mass is concentrated.

Learn more:

Rutherford brainly.com/question/1859083

#####

Burning paper

  • A chemical change is one in which a new kind of matter is formed.
  • Chemical changes are always accompanied by energy changes which can be absorption or evolution.
  • These processes are not easily reversible.
  • It involves a change in mass
  • It requires considerable amount of energy.

When a paper is burnt, it turns to ashes. Ashes cannot be turned back into a paper. This is a chemical change.

Learn more:

Chemical change brainly.com/question/9388643

######

It remains the same

When the number of neutrons in an atom increases, the atomic number stays the same.

  • The atomic number is the number of protons in an atom.
  • Protons are positively charged particles in the nucleus of an atom.
  • When the number of neutrons changes, the mass number changes.
  • Neutrons have no effect on the number of protons in an atom.
  • They are both sub-atomic particles with electrons

Learn more:

Atomic number brainly.com/question/5425825

######

Equal number of protons and electrons

Protons are the positively charged particles in atom. Electrons are the negatively charged particles in an atom.

  • Every atom is electrically neutral.
  • Electrical neutrality is achieved when the number of protons and electrons are the same.
  • In atoms, this number is the same.
  • If the number differs, such an atom is called an ion.

Learn more:

Cations and anions brainly.com/question/4223679

######

11 electrons

In a neutral atom, the number of protons and electrons are the same.

  • Protons are the positively charged particles in an atom.
  • Electrons are the negatively charged particles in an atom.
  • Neutrons do not carry any charges in an atom.
  • A charged atom is an atom that has lost or gained electrons.
  • In a neutral atom, the number of protons and electrons are the same.

Learn more:

Cations and anions brainly.com/question/4223679

#######

Thomson            D) Electrons

Rutherford          B) Nucleus

Bohr                    C) Electron energy levels

Schrodinger       A) Electron cloud and orbitals

  • J.J Thomson experimented on gas discharge tubes and this led to the discovery of electrons as a subatomic particle. He called the particles cathode rays.
  • Ernest Rutherford performed the gold foil experiment that gave the modelling of the atom a significant boost. He found that most of the alpha particles passed through the foil while a few of them deflected back. To explain this, he suggested that an atom is made up of a positively charged center where nearly all the mass is concentrated.
  • Neil Bohr suggested that the extranuclear space is made up of electrons in specific spherical orbits. Electrons move round the nucleus in certain permissible orbits called energy levels.
  • Erwin Schrodinger formulated the wave equation for electrons. He suggested that the region of maximum probability of where n electron is located is referred to as an electron cloud or orbital.

Learn more:

Nells Bohr brainly.com/question/4986277

Rutherford brainly.com/question/1859083

#learnwithBrainly

3 0
2 years ago
Other questions:
  • There are eight men sitting on a couch. Three legs break and six men leave. How many legs are remaining
    15·2 answers
  • If a battery is running down, a light bulb in the circuit will become dimmer because when voltage drops
    7·1 answer
  • A uniformly charged sphere has a potential on its surface of 450 V. At a radial distance of 7.2 m from this surface, the potenti
    8·1 answer
  • A proton moving at 8.00 106 m/s through a magnetic field of magnitude 1.72 T experiences a magnetic force of magnitude 7.20 10-1
    13·1 answer
  • Why is weathering slow in cold, dry places?
    6·1 answer
  • Which of these scientists had the greatest contribution to early microscopy?
    12·1 answer
  • Which system of equations and solution can be used to represent the radius if the mass of the cylinder is 11,000 grams
    7·1 answer
  • True or False: GLOBAL WINDS
    13·2 answers
  • How many significant digits are in the following measurements?<br> a. 1300 m
    7·1 answer
  • Jus de fruits frais
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!