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
ki77a [65]
2 years ago
12

Suppose a ball with mass M hangs vertically from a spring with stiffness k and relaxed length L0. At what length Leq will the ba

ll encounter equilibrium?
Physics
1 answer:
Eddi Din [679]2 years ago
6 0

Answer:

At equilibrium, the sum of vertical forces are equal to zero. Let's analyze the downward and upward components of the forces.

Downward forces: F_{down} = Mg (Gravity)(g is the gravitational constant.)

Upward forces: F_{up} = kx (Spring)

Equilibrium condition: Mg - kx = 0.

x = \frac{Mg}{k}

L_{eq} = L_{0} + x

so

L_{eq} = L_{0} + \frac{Mg}{k}.

Explanation:

If there is no masses hanging from the spring, the length of the spring is equal to L_{0}. When there is a mass M hanging, the spring will be stretched by an amount of x. This distance can be found by using the equilibrium condition, that the sum of the forces is equal to zero.

You might be interested in
What total mass must be converted into energy
Eduardwww [97]

This question apparently wants you to get comfortable
with  E = m c² .  But I must say, this question is a lame
way to do it.

c = 3 x 10⁸ m/s
                                                    E = m c²

                           1.03 x 10⁻¹³ joule  =  (m) (3 x 10⁸ m/s)²

Divide each side by (3 x 10⁸ m/s)²:

                         Mass = (1.03 x 10⁻¹³ joule) / (9 x 10¹⁶ m²/s²)

                                   =  (1.03 / 9) x (10⁻¹³ ⁻ ¹⁶) (kg)

                                   =        1.144 x 10⁻³⁰  kg .    (choice-1)

This is roughly the mass of (1 and 1/4) electrons, so it seems
that it could never happen in nature.  The question is just an
exercise in arithmetic, and not a particularly interesting one.
______________________________________

Something like this could have been much more impressive:
 
The Braidwood Nuclear Power Generating Station in northeastern
Ilinois USA serves Chicago and northern Illinois with electricity.
<span>The station has two pressurized water reactors, which can generate
a net total of 2,242 megawatts at full capacity, making it the largest
nuclear plant in the state.
If the Braidwood plant were able to completely convert mass
to energy, how much mass would it need to convert in order
to provide the total electrical energy that it generates in a year,
operating at full capacity ?

Energy = (2,242 x 10⁶ joule/sec) x (86,400 sec/day) x (365 da/yr)

             =  (2,242 x 10⁶ x 86,400 x 365) joules

             =          7.0704 x 10¹⁶ joules .

How much converted mass is that ?

                                           E  =  m c²

Divide each side by  c² :    Mass  =  E / c² .
c = 3 x 10⁸ m/s

              Mass = (7.0704 x 10¹⁶ joules) / (9 x 10¹⁶ m²/s²)

                        =        0.786 kilogram ! ! !

THAT should impress us !  If I've done the arithmetic correctly,
then roughly  (1 pound  11.7 ounces) of mass, if completely
converted to energy, would provide all the energy generated
by the largest nuclear power plant in Illinois, operating at max
capacity for a year !

</span>
7 0
3 years ago
Read 2 more answers
18
zhannawk [14.2K]
Average speed= total distance/total time =12km/h
6 0
3 years ago
One of your delivery trucks traveled 1,200 miles on 55 gallons of gas. How many miles per gallon did the truck get? (Round off y
Aleksandr-060686 [28]
The word "Per" means divide

"miles per gallon" is the same as "miles / gallon"

The truck went 1,200 miles
on 55 gallons

1,200 ÷ 55 = 21.81
7 0
3 years ago
Read 2 more answers
Sarah and Maisie are analysing data from their school sports day. Looking at the 1500 m results for Stephen, Maisie believes tha
Dahasolnce [82]

Answer:

Sarah is right

Explanation:

This is an exercise that differentiates between scalars and vectors.

A scalar is a number, instead a vector is a number that represents the module in addition to direction and sense.

In this case, the distance (scalar) traveled is a number, which is why it is worth 1500m, but the displacement is a vector and since the point where it leaves is the same point where the vector's modulus arrives is zero, so the DISPLACEMENT VECTOR is zero

consequently Sarah is right

4 0
2 years ago
Approximately how much air is in a column 1-cm2 in cross section that extends from sea level to the top of the atmosphere?
laila [671]

Approximately 101 N air is in a column 1-cm2 in cross-section that extends from sea level to the top of the atmosphere

The basic level for determining height and depth on Earth is the sea level. The ocean's surface tends to seek the same level since it is one continuous body of water. However, the sea level is never fully level due to winds, currents, river discharges, and changes in gravity and temperature.

At the equator, the radius of the Earth at sea level is 6378.137 km (3963.191 mi). At the poles, it is 6,356.752 km (3,949.903 km), and on average, it is 6,371.001 km (3,958.756 mi). The elevation of the shoreline—the boundary between the ocean and the land—is referred to as sea level. Land that is higher than this altitude is above sea level, and land that is lower is below sea level.

To learn more about sea level please visit -
brainly.com/question/2113249
#SPJ4

8 0
2 years ago
Other questions:
  • The magnitude of the electric current is directly proportional to the _____ of the electric field.
    8·2 answers
  • A 68.4-g sample of potassium chloride was added to 200.0 g of water at 20oC. Is the solution saturated, unsaturated, or supersat
    12·1 answer
  • A blue train of mass 50 kg moves at 4 m/s toward a green train of 30 kg initially at rest. What is the initial momentum of the g
    9·1 answer
  • ¿Cómo explicas que las ondas transfieren energía de un lugar a otro sin transferir materia?
    8·1 answer
  • Помогите пожалуйста дам 25 баллов
    9·1 answer
  • According to Newton's law of universal gravitation, which statement is true?
    13·2 answers
  • What does it mean with the car accelerates but in the opposite direction of the car?​
    8·1 answer
  • Making the material you are trying to memorize personally meaningful to you is called the ____________.
    8·1 answer
  • A cross-country skier can complete a 7. 5 km race in 45 min. What is the skier’s average speed? km/h.
    7·1 answer
  • Estimate humanity’s current consumption of energy in one day (in Joule).
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!