Is the amount of stretch of the springs proportional to the hanging mass? Explain briefly.



Derive a theoretical expression to find k-equivalent for springs in parallel and springs in series.

Answers

Answer 1

Answer:

When connected in parallel, the extension of both springs is the same, and the total elastic force will be equal to the sum of the forces in each spring: x=x1=x2,F=F1+F2. F=F1+F2,⇒kx=k1x1+k2x2=(k1+k2)x,⇒k=k1+k2.

Answer 2

Yes. The amount of stretch of a spring is proportional to the hanging mass.

According to Hooke's Law, the restoring force of the spring F is:

                   F = -kx

          k is the spring constant and x is the stretch of spring.

The restoring force F is in opposite direction of the weight of the hanging mass which is mg

                  ⇒ F = -mg

                     mg = -kx

                     x = mg/k

Hence x, the stretch of the spring is directly proportional to the hanging mass.

(i) If two springs are connected in parallel, their k- equialent is

                     [tex]k= k_{1}+k_{2}[/tex]

(ii) If two springs are connected in series, their k- equialent is

                    [tex]\frac{1}{k}=\frac{1}{k_{1} } +\frac{1}{k_{2} }[/tex]

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Related Questions

After a collision between two different massed objects; the larger objects accelerate at a faster rate than the smaller object? If false please explain
why

Answers

Answer: Things continue doing what they are doing unless a force is applied to it. Objects have a natural tendency to resist change. This is INERTIA. Heavier objects (objects with more mass) are more difficult to move and stop. Heavier objects (greater mass) resist change more than lighter objects, so true

Explanation:

Pushing a bicycle or a Cadillac, or stopping them once moving. The more massive the object (more inertia) the harder it is to start or stop. The Cadillac has more of a tendency to stay stationary (or continue moving), and resist a change in motion than a bicycle.

(PLEASE HELP ASAP) Which chemical equation models the law of conservation of mass?

Answers

Answer:

B.) 3KOH + H3PO4 -> K3PO4 +3H20

Explanation:

:p

Chemical equation models the law of conservation of mass is [tex]3KOH + H_{3} PO_{4}[/tex] → [tex]K_{3} PO_{4} + 3H_{2} O[/tex].

What is Chemical equation?

A chemical equation would be a symbol and formula-based symbolic formulation of a chemical reaction.

What is law of conservation of mass?

For every system that is closed across all exchanges of matter including energy, the law of conservation of mass, also known as the theory of mass conservation.

The equation  [tex]3KOH + H_{3} PO_{4}[/tex] → [tex]K_{3} PO_{4} + 3H_{2} O[/tex]. is balanced hence, it will follow mass of conservation law.

Therefore, the correct answer will be option (B).

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#SPJ3

Which
type of energy transformation is taking place when natural gas is used to heat water?
O chemical energy into thermal energy
thermal energy into mechanical energy
mechanical energy into electromagnetic energy
electromagnetic energy into chemical energy

Answers

Answer:

O chemical energy into thermal energy

Hope this helped!!

Answer:

chemical energy into thermal energy

Explanation:

A car is stopped for a traffic signal. When the light turns green, the car accelerates, increasing its speed from 0 to 5.40 m/s in 0.792 s. What are:______

a. the magnitudes of the linear impulse
b. the average total force experienced by a 70.0-kg passenger in the car during the time the car accelerates?

Answers

Answer:

a) 378Ns

b) 477.27N

Explanation:

Impulse is the defined as the product of the applied force and time taken. This is expressed according to the formula

I = Ft = m(v-u)

m is the mass = 70kg

v is the final velocity = 5.4m/s

u is the initial velocity = 0m/s

Get the impulse

I = m(v-u)

I = 70(5.4-0)

I = 70(5.4)

I = 378Ns

b) Average total force is expressed as

F = ma (Newton's second law)

F = m(v-u)/t

F = 378/0.792

F = 477.27N

Hence the average total force experienced by a 70.0-kg passenger in the car during the time the car accelerates is 477.27N

How could girls improve their communication skills

Answers

Answer:

////??????????????/

Explanation:

Answer:

As you go talk to her or even before you go talk to her. If that's the case however, start talking to everyone you meet both boys and girls. See, improving your communication with women is easy. Just get a few books on social skills and then go over to talk to all the ladies you see without any hidden agenda.

Explanation:

I really hope this helps your question  ^_^

The specific heat of aluminum is 0.90 J/gC . How much heat is given off when 25 grams of aluminum is cooled from 55 C to 25 C?

Answers

Answer:

2. How many joules of heat are needed to raise the temperature of 10.0 g of aluminum from 22°C to 55°C, if the specific heat of aluminum is 0.90 J/gºC? c=0.90J/g. 9 (2 sigs.)

Explanation:

1) Determine the magnitude of energy for each of the blanks on the diagram. Give the correct values for 1A, 1B, and 1C.

2)Explain how the energy transformations follow the Law of Conservation of energy throughout the skier's path. Must answer in complete sentences.

3)Explain how the situation shown above would be different if the skier experiences friction while traveling downhill. Include the terms kinetic energy, heat energy, mechanical energy, total energy and friction. Must answer in complete sentences.

Answers

Answer:

Explanation: y’all taking the same test as me hahahahah I got the answers but I can’t attach the picture here so hit me up on snap daniela_0789

The total energy at each point in the path of the skier is constant as the

skier travels down the slope.

1) 1A P.E. = 15,000 J,  1B K.E. = 19,000 J,  1C, P.E. = 0 J2) The mechanical energy of the system is constant3) Energy is given off as heat due to friction such that the total energy of the system is not conserved if friction is experienced

Reasons:

1) Given that the total mechanical energy, M.E. is constant, we have;

M.E. = Kinetic Energy, K.E. + Potential Energy, P.E. = Constant

M.E. = K.E. + P.E.

At the start, we have;

P.E. = 25,000 J

K.E. = 0 J

Therefore;

M.E. = 25,000 J + 0 J = 25,000 J

At point 1A, we have, K.E = 10,000 J

P.E. = M.E. - K.E.

Therefore;

P.E. = 25,000 - 10,000 = 15,000

The potential energy at point 1A, P.E. = 15,000 J

At point 1B, we have; PE = 6000 J

K.E. = M.E. - P.E.

Therefore;

K.E. = 25,000 J - 6,000 J = 19,000 J

At 1B, K.E. = 19,000 J

At point 1C, we have; K.E. = 25,000 J

Therefore;

P.E. = 25,000 J - 25,000 J = 0 J

At 1C P.E. = 0 J

2) The Law of Conservation of Energy states that the energy in a closed

system is constant.

The energy transformation follows the Law of Conservation of energy

given that the total mechanical energy is constant at all points along the

path.

3) The energy of a system is not conserved when a external force is

applied.

If the skier experiences friction, the force of friction does work to reduce

the speed of the skier, thereby reducing the kinetic energy at a point

downslope, where the potential energy has already been reduced,

resulting in an reduction in the mechanical energy of the system.

Therefore, if the skier experiences friction, the total energy of the system is

not conserved, as energy will be consumed in the work done by friction

which is converted to heat and sound energies.

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If the interest of sum of money is 6 yrs in 3/8 of the principal . what is the rate of interest?​

Answers

Answer:

=6.25%

Explanation:

Simple interest can be calculated using the below formula

I=prt/100

=Interest

P=Principal

R=Rate

T=Time

T=6 yrs

R=3/8

Making R subject of the formula

R=(I ×100)/PT

Substitute the values

=(3/2 P×100)/P×6

The "P" in the numerator cancelled out the "P" in denominator then we have

=(3/2×100)/6

=6.25%

Hence the rate is 6.25%

Problem 4: For a conservative force,esvoedca2beee49af123450c68a7237065a45ad885a4229cb932c3697d0b27c6328eaeovse 0N86-C1-52-40-A837-22820 If you push a wooden crate across rough ground with a force F over a distance d, what is the potential energy stored in the system due to this force

Answers

Answer:

PE = Fd

Explanation:

Potential energy is the energy possessed by a body by virtue of its position. It is expressed mathematically as:

PE = mgd

m is the mass

g is the acceleration due to gravity

d is the distance

Since Force F is expressed as the product of mass and acceleration due to gravity then, F = mg

Substitute into the formula above:

Recall that: PE = mgd

Since F = mg

PE = Fd

Hence the required expression is PE = Fd

Only four forces act on an object. They all have the same magnitude. Their directions are north, south, northwest, and northeast. In which direction does the object accelerate? (A) north (B) south (C) northwest (D) northeast (E) The object does not accelerate because the four forces cancel.

Answers

Answer:

the correct answer is A,   North

Explanation:

The forces are vectors so they must be added vectorially.

The magnitude of the forces is the same, but not their direction, which is why they are different.

Analyze the situation presented

We have a force towards the North and another towards the South with the same magnitude, therefore these cancel each other out

We have a force towards the Northeast and another towards the Northwest, these can be decomposed into parts, one towards the North and another on the East-West axis, this last component is canceled, but the component towards the North is added.

In summary we see that the body accelerates towards the North

the correct answer is A

Three wheels each of radius 1 have their centers at respective verticies of an equilateral triangle of side length 4. A belt is wrapped continuously around the wheels. Find the length of the belt.

Answers

Answer:

L  = 6 * ( π + 1 )

Explanation:

The side of the equilateral triangle is  4, and each one of the circles is of radius 1. Then

Triangle vertex   A  B  and C

Trajectory of the belt, beginning in vertex A

1.-First circle  A  one turn

L₁  = 2*π*1   = 2*π

2.-Length between the circle A and B

L₂  = 2

3.- To wrap this circle we need to wrap the circle and to run the belt through the radius twice. The firs over the side AB and the second over the side BC, therefore

L₃ = 2*π*1 + 2*(1)

L₃ = 2*π + 2

4.-Length between two nearest points of circles B and C is 2 and length of the circle in C is 2*π*1. Then

L₄  = 2 + 2*π

Total length of the belt  is:

L  =  L₁ + L₂ + L₃ + L₄

L = 2*π + 2 + (2*π + 2 ) + ( 2 + 2*π )

L  = 6*π + 6

L  = 6 * ( π + 1 )

When gasoline is burned, it gives off 46,000 J/gram of heat energy. If an automobile uses 13.0 kg of gasoline per hour with an efficiency of 21%, what is the average horsepower output of the engine

Answers

Answer:

The correct output will be "46.76 h.p.".

Explanation:

The given values are:

Gasoline's energy content,

= 46000 J/g

= 4.6 x10⁷ J/kg

Fuel usage,

= 13 kg/h

= [tex]\frac{13}{3600} \ kg/s[/tex]

Fuel efficiency,

= 21%

= 0.21

Now,

The average output will be:

= [tex](Energy \ content \ of \ gasoline)\times (fuel \ usage)\times (fuel \ efficiency)[/tex]

On substituting the values, we get

= [tex]4.6\times 10^7\times (\frac{13}{3600} )\times 0.21\times (\frac{1}{746}) h.p.[/tex]

= [tex]46.76 \ h.p.[/tex]

Answer:

the  average horsepower output of the engine is 46.76 hp

Explanation:

The computation of the  average horsepower output of the engine is shown below

The output of the engine is

= (Energy content of gasoline) × (usage of the fuel ) ×  (Fuel efficiency)

As we know that

1 hp = 746 W

where,

Energy content of gasoline = 46000 J / g = 4.6  × 107 J/kg

Usage of the fuel = 13 kg / h = 13 ÷ 3600 kg/s

Fuel efficiency = 21% = 0.21

Therefore, the output of the engine is

= 4.6 ×  107 × (13 ÷ 3600) × 0.21 × (1 ÷ 746) h.p.

= 46.76 h.p.

hence, the  average horsepower output of the engine is 46.76 hp

1. Add 17.35 g, 25.6 g and 8.498 g. chaper 1 physical quantity 11class .physic​

Answers

51.448 g is the required answer!

A honeybee is in flight between a flower and its hive. Which of the following statements is true?
A) The bee exerts a force on the Earth equal to the force the Earth exerts on the bee.
B)The Earth exerts a greater force on the bee than the bee exerts on Earth.
C) The bee is in flight, but not in orbit, so there is no force of gravity on it.
D) The bee exerts a greater force on the Earth than the Earth exerts on the bee.

Answers

Answer:

D

Explanation:

The statement i.e. true is option d. The bee exerts a greater force on the Earth than the Earth exerts on the bee.

The Flight that lies between the flower and its hive:

When the honeybee is in flight that lies between a flower and its hive.

So here the bee should be exerted a high force on the earth as compared to the earth exerted on the bee.

Therefore, the option d is correct.

And, the rest of the options are wrong.

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in how many days the life cycle of honeybee complete​

Answers

Honey bees develop in four distinct life cycle phases: egg, larva, pupa, and adult. The total development time varies a bit among the three castes of bees, but the basic miraculous process is the same: 24 days for drones, 21 days for worker bees, and 16 days for queens.

Which two statements correctly describe the role of a semiconductor in a
solar cell?
I A. When the semiconductors become charged, current flows from
the negative one to the positive one.
B. The electrons freed from the semiconductors by light exit the cell
and never return.
I C. When photons are absorbed, electrons from the semiconductor
are freed because of the photoelectric effect.
D. When the semiconductors become charged, current flows from
the positive one to the negative one.

Answers

Answer:

It's A and C

Options A and C are correct.

A. When the semiconductors become charged, current flows from the negative one to the positive one

C. When photons are absorbed, electrons from the semiconductor are freed because of the photoelectric effect.

What are semiconductors?

Semiconductors are materials with conductivity intermediate between conductors and nonconductors or insulators. Semiconductors may be either compound like gallium arsenide.

(A)When the semiconductors become charged, current flows from the negative one to the positive one

Reason: Current flow in a semiconductor is caused by charge carrier migration in both the conduction and valence bands.

Electrons are mobile charges in the conduction band while holes are mobile charges in the valence band.  Drift current occurs in the presence of an electric field,

which creates a net motion of positively charged carriers in the same direction as the field and negatively charged carriers in the opposite direction as a result of the force.

(C)When photons are absorbed, electrons from the semiconductor are free because of the photoelectric effect.

Reason: The photoelectric effect is the creation of a current when the light of a specific frequency strikes a surface, which is commonly metallic or semiconducting.

The current is produced when electrons are jolted out of their stable states by the energy transferred from an incoming photon.

The minimum frequency or energy need indicates the varying energy necessary to release an electron from a specific surface, which varies depending on the atomic configuration of the material.

The outermost electrons in metals are not bonded to each atom which is shared by many atoms. This decentralization is what allows metals to conduct electric currents.

Hence options A and C are correct.

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An investigation has been completed similar to the one on latent heat of fusion, where steam is bubbled through a container of water. Steam condenses and the lost energy heats the water and container. Use the following data to answer the question below:
Mass of the aluminum container 50 g
Mass of the container and water 250 g
Mass of the water 200 g
Initial temperature of the container and water 20°C
Temperature of the steam 100°C
Final temperature of the container, water, and condensed steam 50°C
Mass of the container, water, and condensed steam 261 g
Mass of the steam 11 g Specific heat of aluminum 0.22 cal/g°C
Given the data above, determine the total heat energy gained by the container and water.

Answers

Answer:

[tex]Q_a=330 cal[/tex]

[tex]Q_w=6000cal[/tex]

Explanation:

From the question we are told that

Mass of the aluminum container 50 g

Mass of the container and water 250 g

Mass of the water 200 g

Initial temperature of the container and water 20°C

Temperature of the steam 100°C

Final temperature of the container, water, and condensed steam 50°C

Mass of the container, water, and condensed steam 261 g

Mass of the steam 11 g Specific heat of aluminum 0.22 cal/g°C

a) Heat energy on container

Generally the formula for mathematically solving heat gain

      [tex]Q_c=M_c *C_c*( \triangle T)[/tex]

Therefore imputing variables we have

      [tex]Q_a=50g *0.22*50-20[/tex]  

      [tex]Q_a=330 cal[/tex]

b) Heat energy on water

Generally the formula for mathematically solving heat gain

       [tex]Q_w=M_w *C_w*( \triangle T)[/tex]

Therefore imputing variables we have

       [tex]Q_w=200 *1* 50-204[/tex]

       [tex]Q_w=6000cal[/tex]

A 6 kg bowling ball is on top of a building. It has 2,352 J of potential energy. What is the height of
the building?

Answers

Hello!

[tex]\large\boxed{ h = 40m}[/tex]

Use the formula below to solve:

[tex]\text{ Potential energy} = mgh[/tex]

Where:

m = mass of object (kg)

g = acceleration due to gravity (9.8 m/s²)

h = height of the building (m)

We are given the potential energy, mass, and gravity, so plug in those values into the equation to solve for the height:

[tex]2352 = 6 * 9.8 * h\\\\2352 = 58.8h\\\\2352/58.8 = 58.8h / 58.8\\\\h = 40 m[/tex]

What is the main organ of the circulatory system?

veins

arteries

heart

capillaries

Answers

It is the heart

if not im sorry

Do scientific theories have math in them?

Answers

Answer:

Yes of course science has maths

The is the sac-like structure that holds the testes.

Answers

Answer:

Scrotum

Explanation:

Answer: Scrotum

Explanation: edge

An orange of mass m falls into a wagon. Assume the orange experiences upward acceleration magnitude a when it comes in contact with the wagon. What is the correct expression for the normal force magnitude F, exerted on the orange?
What is the correct expression for the normal force magnitude Fr exerted on the orange?
Consider upward as the positive direction.
Fn = m(a -g)
Fn = m(a +g)
Fn=a +g /m
Fn= m/a+g

Answers

Answer:

Explanation:

Fn = m(a + g)

When a punter kicks a football, is he doing any work on the ball while the toe of his foot is in contact with it?

a. Is he doing any work on the ball after it loses contact with his toe?
b. Are any forces doing work on the ball while it is in flight?

Answers

Answer:

a) W=0  b) force of gravity and friction force

Explanation:

a) When the kicker touches the soccer ball, his foot exerts a force on the ball in the same direction of its movement, but the ball is stationary, therefore the displacement of the ball during the very short contact is zero and as the work is the product of force and distance, we conclude that there is no work

   W = F. d

   d = 0

    W = 0

b) When the ball is in flight there is mainly the force of gravity that has a vertical direction and the friction force that opposes the movement at all times

a.He does not do any work on the ball after it loses contact with his toe

b.The force of gravity and friction force doing work on the ball while it is in flight.

What is work?

Work is defined as the product of applied force and the distance through which the body is displaced on which the force is applied.

Work may be zero, positive and negative.it depend on the diection of body displaced . if the body is displaced in the same direction of force it will be positive.

While if the displacement is in the opposite direction of force applied the work will be negative work . if their is no displacement of the body the work done will be zero.

a.He does not do any work on the ball after it loses contact with his toe.

When the kicker makes contact with the soccer ball, his foot exerts a force on the ball in the same direction as its movement, but the ball is stationary,

So the displacement of the ball during the very short contact is zero, and since work is the product of force and distance, we conclude that there is no work.

[tex]\rm W= F \times d \\\\ \rm W= F \times 0 \\\\ \rm W=0[/tex]

Hence he does not do any work on the ball after it loses contact with his toe.

b.The force of gravity and friction force doing work on the ball while it is in flight.

When the ball is in flight, there is primarily a vertical force of gravity and a friction force that resists movement at all times.]

Hence the force of gravity and friction force doing work on the ball while it is in flight.

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Find the gravitational potential energy of an 85kg person, standing atop Mt. Everest, at an altitude of 8848m. Use sea level as the location for y=0.

Answers

Explanation:

Gravitational potential energy

= mgh

= (85kg)(9.81N/kg)(8848m)

= 7,377,904.8J.

A tennis ball (m=0.060 kg) is moving horizontally at 20 m/s toward a tennis player who hits it straight back at 26 m/s. What is the change in momentum (in kg m/s) delivered to the tennis ball? 20 m/s 26 m/s
A. 0.36
B. 12.2
C. 1.84
D. 2.76

Answers

Answer:

0.36 kg-m/s

Explanation:

Given that,

Mass of a ball, m = 0.06 kg

Initial velocity of the ball, u = 20 m/s

Final velocity of the ball, v = 26 m/s

We need to find the change in momentum of the tennis ball. It is equal to the final momentum minus initial momentum

[tex]\Delta p=m(v-u)\\\\=0.06\times (26-20)\\\\=0.36\ kg-m/s[/tex]

So, the change in momentum of the ball is 0.36 kg-m/s.

which of the following is not a risk associated with using legal drugs without medical supervision

Answers

Answer:

paying too much on the black market instead of getting a prescription

Explanation:

i just took the quiz

Answer:

Paying too much on the black market instead of getting a prescription

Explanation:

The rest of the options are risks associated with using legal drugs without medical supervision.

baseball player hits a line drive estimated to have traveled 145 meters the ball leaves the bat with a horizontal velocity of 40.0 m/s . how much time was the ball in the air

Answers

Answer:

3.63 s

Explanation:

Since distance d = vt where v = velocity and t = time taken to cover the distance.

Now, the baseball traveled a distance of d = 145 m with a horizontal velocity of 40.0 m/s.

So, making t subject of the formula,

t = d/v

Substituting the values of d and v we have

t = 145 m/40.0 m/s

= 3.625 s

≅ 3.63 s

So the time the ball was in the air is 3.63 s

Question 18 of 20
Which situation results in the least attraction between two magnets?
A. The south pole of one magnet is near the south pole of the other
magnet
B. The north pole of one magnet is near the south pole of the other
magnet
C. The north pole of one magnet is far away from the north pole of
the other magnet
D. The north pole of one magnet is far away from the south pole of
the other magnet.

Answers

Answer:D

Explanation:

Answer:

Explanation: the answer is D.

(a) When the terminals of a 100-V battery are connected to two parallel plates 1 cm apart, what is the electrical field in the region between the plates

Answers

Answer:

The electrical field in the region between the plates is 10,000 V/m.

Explanation:

Given;

potential difference between the two parallel plates, V = 100 V

distance between the two parallel plates, d = 1 cm = 0.01 m

The electrical field in the region between the plates is given as;

E = V / d

where;

E is the electrical field in the region between the plates

E = (100) / (0.01)

E = 10,000 V/m

Therefore, the electrical field in the region between the plates is 10,000 V/m.

A bicyclist travels $4.5\text{ km}$ west, then travels $6.7\text{ km}$ at an angle $27.0^\circ$ South of West.

What is the magnitude of the bicyclist's total displacement?

Answers

Answer:

10.88 km

Explanation:

We shall represent displacement in terms of i , j  unit vectors in the direction of east and north .

4.5 km due west

D₁ = - 4.5 i

6.7 km at an angle of 27° south of west

D₂ = - 6.7 cos27 i - 6.7 sin27j

= - 6.7 x .89 i - 6.7 x .45 j

= - 5.96i - 3 j

Total displacement

= D₁ + D₂

=  - 4.5 i - 5.96i - 3 j

= -10.46 i - 3j

Magnitude = √ ( 10.46² + 3²)

= √ ( 109.41 + 9)

= √ 118.41

= 10.88 km .

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