A spring gains 2.34 joules of elastic potentialenergy as it is compressed 0.250 meter from its
equilibrium position. What is the spring constant
of this spring?
(1) 9.36 N/m (3) 37.4 N/m
(2) 18.7 N/m (4) 74.9 N/m

Answers

Answer 1
Answer:

The correct answer to the question is: 4) 74.9 N/m.

EXPLANATION:

As per the question, the stretched length of the spring is given as x = 0.250 m.

The potential energy gained by the spring is given as 2.34 joules.

We are asked to calculate the spring constant of the spring.

The potential energy gained by the spring is nothing else than the elastic potential energy .

The elastic potential energy of the spring is calculated as -

               Potential energy P.E = (1)/(2)kx^2

                                            ⇒k = (2P.E)/(x^2)

                                                  = (2* 2.34)/((0.250)^2)\ N/m

                                                  = 74.88 N/m

                                                  = 74.9 N/m.                  [ans]

Hence, the force constant of the spring is 74.9 N/m.


Answer 2
Answer: Elastic energy equals 1/2 k(spring constant) *Δx^2(change in position) so you set the energy of the spring equal to the 1/2kΔx^2 and solve for K. 2.34=1/2k(.250)^2 which gives you a spring constant of 74.9 N/m.

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A doctor diagnoses a man with an acute strain. Which job is most likely to cause an acute strain?

Answers

Answer:

A bricklaying job

Explanation:

To start with an acute strain is a type of inury that occurs when heavy objects are improperly lifted an individual in ways that the person's muscles becomes overstressed.

There are a number of jobs that are likely to cause acute strain including bricklaying jobs. People engaged in bricklaying jobs tend to improperly lift heavy objects, an activity that leads to repititive and prolonged overuse of muscles and tendons which is known as acute strain.

Another example of a job that can lead to acute strain is furniture moving.

Which structure's primary function is to warm and moisten the air?a. nasal cavity
b. epiglottis
c. bronchus
d. bronchiole

Answers

Answer: a. nasal cavity

Explanation:

The nasal cavity is a external opening of the respiratory tract. This involves two canal like cavities through which air enters the respiratory tract and moves out of the body. These are the two hollow spaces within the nose each of which consists of mucus and lined up with the hairs.

The primary function of the two nasal cavities is to moisturize, warm and filter the air entering the respiratory tract. These cavities filter out environmental contaminants like dust, pollen, molds and others.

A.Nasal cavity!!!!!!!!!!!!!!!!!!!!!!!

A stone is thrown with an initial velocity of 20 meters per second straight upward from the edge of a cliff 100 meters above a canyon floor. The stone just misses the cliff'a edge on its way down. (Neglect friction) Calculate the time required for the stone to reach its maximum height.
Calculate the maximum height of the stone above the edge of the cliff.

Answers

The time taken by the stone to reach the maximum height above the cliff is \boxed{2.04\text{ s}} and the maximum height reached by the stone above the cliff is \boxed{20.4\text{ m}}.

Explanation:

Given:

The initial velocity of the stone is 20\text{ m/s}.

The height of the cliff is 100\text{ m}.

Concept:

As the stone is thrown upward from the top of the cliff, the stone will move under the action of the acceleration due to gravity. The speed of the stone will decrease as it moves up because the acceleration on the stone is acting in the direction opposite to its motion.

The speed of the stone at its maximum height will be zero where is comes to rest for a moment.

The time taken by the stone to reach the maximum height is given by:

\boxed{v_f=v_i-gt}

Here, v_f is the final velocity, v_i is the initial velocity, g is the acceleration and t is the time taken by the stone.

Substitute the values in above expression.

\begin{aligned}0&=20-(9.81)t\nt&=(20)/(9.81)\text{ s}\n&=2.04\text{ s}\end{aligned}

The distance covered by the stone in reaching the maximum height is given by:

\boxed{v_f^2=v_i^2-2gS}

Here, S is the distance covered by the stone.

Substitute the values in above expression.

\begin{aligned}(0)^2&=(20)^2-2(9.81)S\nS&=(400)/(19.62)\text{ m}\n&=20.4\text{ m}\end{aligned}

Thus, The time taken by the stone to reach the maximum height above the cliff is \boxed{2.04\text{ s}} and the maximum height reached by the stone above the cliff is \boxed{20.4\text{ m}}.

Learn More:

1. Compare the three types of friction brainly.com/question/1800116

2. The scale reading if the cable breaks suddenly brainly.com/question/4852539

3. The height of bridge above water brainly.com/question/10664397

Answer Details:

Grade: Senior School

Subject: Physics

Chapter: Kinematics

Keywords:

stone, initial velocity, final, thrown, cliff, canyon floor, maximum height, zero, acceleration, gravity, time taken, distance.


I thought you were going to ask how long it takes for the stone to hit
the canyon floor at the bottom of the cliff.  But you're not asking for
anything after the stone barely misses the edge of the cliff on its way
down, and you're only asking about things that happen above the
edge of the cliff. So we don't need to know anything about the cliff,
or its height above anything else.  The thrower might just as well be
standing in his front yard when he throws the stone straight up.

-- Gravity robs 9.8 m/s from the stone's upward speed every second.
So the stone reaches its maximum height, runs out of upward gas, and
starts falling, in  (20 / 9.8) = 2.04 seconds after the toss.

-- Its average speed during that time is (1/2) (20 + 0) = 10 m/s .
In 2.04 seconds at that average speed, it rises (2.04 x 10) = 20.4 meters .


Which example describes constant acceleration due ONLY to a change in direction?a. increasing speed while traveling around a curve
b. an object at rest
c. traveling around a circular track
d. an object in free fall

Answers

Answer:

c. traveling around a circular track

Explanation:

Acceleration is defined as the rate of change of velocity per unit time:

a=(\Delta v)/(\Delta t)

However, velocity is a vector quantity. This means that acceleration can be due to:

- A change in the speed of an object, or

- A change in the direction of the object

Let's analyze each choice:

a. increasing speed while traveling around a curve  --> in this case, both speed and direction are changing (the direction is changing since the object is moving around a curve), so this is not the correct choice

b. an object at rest  --> here neither the speed nor the direction are changing (in fact, the object is not accelerating), so this is not the correct choice

c. traveling around a circular track  --> here the direction is changing (because the track is circular), while we don't know anything about the speed. If we assume the speed to be constant, then this is the correct choice

d. an object in free fall --> here the speed is changing, while the direction not, so this is not the correct choice


'Traveling around a circular track' can be a description of constant
acceleration due only to changes in direction.  But if it is, then the
progress around the circular track must be at constant speed.

PLEASE HELP 25 POINTS!!!! Multiply the following numbers and round your answer to the correct number of significant figures: 72,000 x 45

Show both the unrounded and rounded answer.

Answers

Answer:

3,240,000

Explanation:

72,000 times 45= 3,240,000

There is no rounded number unless u are dividing.

Answer:3240000
There is no rounding (dividing)

A pendulum takes 0.5 second to complete one cycle. What is the pendulum’s period and frequency?

Answers

Period: Time it takes to complete a cycle, it takes 0.5s to complete a cycle
Frequency: Number of cycles in a second. Since 0.5s = 1 cycle, 1s=2 cycles 
Period is 0.5s, frequency is 2