A 2.50 kg mass is sliding along a rough level, surface of coefficient of kinetic friction of 0.350 between the mass and the surface, when it encounters a spring of spring of spring constant 125 N/m. If the mass is traveling at 1.20 m/s when it contacts the spring determine by how much the spring compresses in stopping the mass.
Answers
The spring compresses in stopping the mass will be 11.44 cm.
To determine the compression of the spring when stopping the mass, we need to consider the conservation of mechanical energy.
The initial kinetic energy (KE) of the mass is given by:
KE = (1/2)mv²
KE = 0.5 * 2.5 * 1.2²
KE = 1.8 m/s ...{1}
The final potential energy stored in the spring (PE) is equal to the initial kinetic energy.
PE = μmgx + (1/2)kx²
PE = 0.35 * 2.5 * 9.8x + 0.5 * 125x²
PE = 8.575x + 62.5x² ...{2}
From equation (1) and (2), then we have
8.575x + 62.5x² = 1.8
62.5x² + 8.575x - 1.8 = 0
x = 0.1144, -0.252
x = 11.44 cm
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Related Questions
Why Does Elasticity Matter?
Often, a lot of what is covered in courses has little application in the so-called "real world". In this discussion board, you need to post an entry to the discussion board stating why elasticity actually does matter in the everyday lives of businesses and consumers, using an example of a good or service as part of your explanation.
Part I
Using an example of a good or service, you will state why elasticity is applicable in the everyday lives of businesses and consumers. Please be clear in your explanation
Answers
Elasticity is of significant importance in the everyday lives of businesses and consumers as it helps them understand and respond to changes in prices and demand for goods or services. By considering elasticity, businesses can make informed decisions regarding pricing strategies, production levels, and resource allocation. Consumers, on the other hand, can assess the impact of price changes on their purchasing decisions and adjust their consumption patterns accordingly.
Elasticity, specifically price elasticity of demand, measures the responsiveness of consumer demand to changes in price. It indicates the percentage change in quantity demanded resulting from a one percent change in price. Understanding price elasticity allows businesses to determine how sensitive consumers are to changes in price and adjust their pricing strategies accordingly.
For example, let's consider the market for gasoline. Gasoline is a highly price-sensitive good, meaning that changes in its price have a significant impact on consumer demand. If the price of gasoline increases, consumers may reduce their consumption and seek alternatives such as carpooling or using public transportation. In this scenario, businesses need to consider the price elasticity of gasoline to predict and respond to changes in consumer behavior. They might lower prices to stimulate demand or introduce more fuel-efficient options to cater to price-conscious consumers.
In conclusion, elasticity matters because it provides valuable insights into the dynamics of supply and demand, enabling businesses and consumers to make informed decisions in response to price changes. By understanding elasticity, businesses can adapt their strategies to maintain competitiveness, while consumers can optimize their purchasing choices based on price sensitivity.
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The upward force acting on the wing of an airplane ir flight is called?
Answers
Answer:
Lift is the upward force on the wing acting perpendicular to the relative wind and perpendicular to the aircraft's lateral axis. Lift is required to counteract the aircraft's weight.
Explanation:
Answer: The upward force acting on the wing of an airplane in flight is called Lift
In transduction, the cochlea is part of this structure:
and the retina is part of this structure:
Answers
Answer:
wats up
Explanation:
6. What force causes the convection cell to turn down at point C?
Answers
Which of the following best describes a behavior of a person with a an eating disorder
Answers
Answer:
more than food. They’re complex mental health conditions that often require the intervention of medical and psychological experts to alter their course.
These disorders are described in the American Psychiatric Association’s Diagnostic and Statistical Manual of Mental Disorders, fifth edition (DSM-5).
In the United States alone, an estimated 20 million women and 10 million men have or have had an eating disorder at some point in their life (1).
This article describes 6 of the most common types of eating disorders and their symptoms.
Answer: Anorexia Nervosa
Explanation:
Please help !!
Which of the following statements regarding orbits is true?
A. A satellite moves in an elliptical orbit with the central body at one
focus
B. The Sun and a planet are at the two foci of an orbit.
c. In an orbit, the satellite and the central body are the two foci of the
ellipse.
D. In an elliptical orbit, there is one focus and the satellite is located
there.
Answers
The true statement about an orbit is that the sun and a planet are at the two foci of an orbit. Hence, option B is correct.
What is an orbit?An orbit is a curved path taken by an object in celestial mechanics, such as the path taken by a planet around a star, a natural satellite around a planet, or an artificial satellite around an object or location in space, such as a planet, moon, asteroid, or Lagrange point.
Ordinarily, the term "orbit" refers to a trajectory that repeats itself periodically, though it can also apply to a non-repeating trajectory. Kepler's principles of planetary motion roughly predict that planets and satellites have elliptic orbits, with the center of mass orbiting at a focal point of the ellipse.
Hence, this concludes that option B is correct.
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The potential energy of a pear is 5.0 joules. The pear is 4 m high. What is the mass of the apple?
Answers
Answer:
rrteertewtagtewyewtyewtewy
Explanation:
A wooden crate weighs 18016. find force needed to start the crate sliding a wooden floor when the coeffient of static friction is 0.40
Answers
The force needed to start the crate sliding on a wooden floor when the coefficient of static friction is 0.40 is 7206.4 N. To find the force needed to start the crate sliding, we need to calculate the maximum force of static friction that can act on the crate.
This is given by the formula Fstatic = μs N where Fstatic is the maximum force of static friction, μs is the coefficient of static friction, and N is the normal force acting on the crate. The normal force is equal to the weight of the crate, which is given as 18016 N. Therefore, we can substitute these values into the formula:
Fstatic = 0.40 × 18016 N
Fstatic = 7206.4 N
This means that a force of 7206.4 N is needed to start the crate sliding on the wooden floor. If a force greater than this is applied, the crate will start to slide. Therefore, the force needed to start the crate sliding on a wooden floor is 7206.4 N.
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a) A cell of dry air is moved vertically from its original position under adiabatic conditions. Depending on the temperature profile of the surrounding atmosphere, this gas cell can keep on moving in the same direction, or it may come back to its original position. Considering the temperature profile of the atmosphere, change of the air cell temperature as it moves up and down in the surrounding atmosphere, as well as relative densities of the air cell and atmosphere, explain why and when the atmosphere is considered to be convectively stable and convectively unstable. In answering this question, use diagrams of temperature change with altitude. (13 marks) b) Explain why the adiabatic lapse rate of dry air is different from the adiabatic lapse rate of wet saturated air. Show them both in a diagram. (5 marks) c) Wet unsaturated air rises from the ocean surface. The ambient lapse rate is higher than the adiabatic lapse rate for dry air. There is a temperature inversion layer at higher altitudes. Show in a schematic diagram how the temperature of the wet air changes with altitude, in comparison with the ambient temperature. Explain at what altitudes the cumulus clouds are formed and why. (7 marks)
Answers
The question addresses the stability of the atmosphere and the factors that determine convective stability or instability. It also explains the difference between the adiabatic lapse rate of dry air and wet saturated air.
a) The stability of the atmosphere is determined by the temperature profile and relative densities of the air cell and atmosphere. If the temperature of the surrounding atmosphere decreases with altitude at a rate greater than the adiabatic lapse rate of the air cell, the atmosphere is considered convectively stable.
In this case, the air cell will return to its original position. Conversely, if the temperature of the surrounding atmosphere decreases slower than the adiabatic lapse rate of the air cell, the atmosphere is convectively unstable. The air cell will continue moving in the same direction.
b) The adiabatic lapse rate refers to the rate at which temperature decreases with altitude for a parcel of air lifted or descending adiabatically (without exchanging heat with its surroundings). The adiabatic lapse rate of dry air is higher (around \(9.8^0C\) per kilometer) compared to the adiabatic lapse rate of wet saturated air (around 5°C per kilometer).
This difference arises because when water vapor condenses during the ascent of saturated air, latent heat is released, reducing the rate of temperature decrease. A diagram can illustrate the difference between the two lapse rates, showcasing their respective slopes.
c) When wet unsaturated air rises from the ocean surface, its temperature decreases at a rate equal to the dry adiabatic lapse rate. However, if the ambient lapse rate (temperature decrease with altitude) is higher than the adiabatic lapse rate for dry air, a temperature inversion layer forms at higher altitudes.
In this inversion layer, the temperature increases with altitude instead of decreasing. A schematic diagram can depict the temperature changes of the wet air in comparison to the ambient temperature, showing the inversion layer.
Cumulus clouds form at the altitude where the rising moist air reaches the level of the temperature inversion layer. These clouds are formed due to the condensation of water vapor as the air parcel cools to its dew point temperature.
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HURRY ITS TIMED
Which of the sentences contains a misplaced modifier?
Kathy made her yummy cupcakes for the bake sale.
We made almost $100 at the bake sale.
Mario liked the chewy brownies best.
We served cake to children in silver bowls.
Answers
Answer:
d
Explanation:
I looked it up for you to help you out and it said it was d
Answer:
The correct answer is D. We served cake to children in silver bowls.
To steadily (constantly) increase the velocity of something requires a steadily increasing force. decreasing force. constant net force. none of the above
Answers
To steadily increase the velocity of something, it requires c. constant net force.
According to Newton's second law of motion, the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. Mathematically, this is represented as F = ma, where F is the net force, m is the mass, and a is the acceleration. When a constant net force acts on an object, it causes the object to accelerate at a constant rate. This acceleration leads to a steady increase in the object's velocity.
It is important to note that a steadily increasing force would result in an object experiencing an increasing acceleration, which would cause the velocity to increase at an increasing rate rather than steadily. On the other hand, a decreasing force would result in a decreasing acceleration, causing the velocity to increase at a slower rate or even decrease. In conclusion, to steadily increase the velocity of an object, a constant net force must be applied to it. This constant force leads to a constant acceleration, which in turn results in a steady increase in the object's velocity.
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The voltage is measured across a resistor in a circuit. explain whether the voltage is a potential difference or electromotive force
Answers
Answer:
Explanation:
Itis the 2nd one
A 0.57 kg rubber ball has a speed of 2.2 m/sat point A and kinetic energy 8.0 J at pointB. Finda) the ball’s kinetic energy at A.Answer in units of J.015 (part 2 of 3) 10.0 pointsb) the ball’s speed at B.Answer in units of m/s.016 (part 3 of 3) 10.0 pointsc) the total work done on the ball as it movesfrom A to B.Answer in units of J.
Answers
Given that the mass of the ball is m = 0.57 kg.
The speed of the ball is
\(v_A=2.2\text{ m/s}\)A) The kinetic energy at point A will be
\(\begin{gathered} K\mathrm{}E._A\text{ =}\frac{1}{2}m(v_A)^2 \\ =\frac{1}{2}\times0.57\times(2.2)^2 \\ =1.38\text{ J} \end{gathered}\)B) Given that the kinetic energy,
\(K\mathrm{}E._B=\text{ 8 J}\)The ball's speed at point B will be
\(\begin{gathered} K\mathrm{}E._B=\frac{1}{2}m(v_B)^2 \\ v_B=\sqrt[]{\frac{2K.E._B}{m}} \\ =\sqrt[]{\frac{2\times8}{0.57}} \\ =5.298\text{ m/s} \end{gathered}\)C) The total work done on the ball to move from point A to B is
\(\begin{gathered} W=K\mathrm{}E._B-K.E._A \\ =8-1.38\text{ } \\ =6.62\text{ J} \end{gathered}\)A ferris wheel having a radius of 8 m has a velocity of 8 m / s. is there a danger of the riders flying off?
Answers
A ferris wheel having a radius of 8 m has a velocity of 8 m / s. is there a danger of the riders flying off . No, the ferris wheel is not moving too fast.
What is a velocity?
Velocity may be a vector quantity that refers to "the rate at which an object changes its position." Imagine an individual moving rapidly - one step forward and one step back - always returning to the original starting position. While this might end in a frenzy of activity, it might result in a zero velocity.
What is the two types of velocity?
Constant velocity: is that the speed at which an object travels equal displacements in equal times. Variable velocity: it's the speed at which an object cuts different displacements at different times.
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A fullback is running down the football field in a straight line. He starts at the 0-yard line at 0 seconds. At 1 second, he is on the 10-yard line; at 2 seconds, he is at the 20-yard line; at 3 seconds, he is at the 30-yard line; and at 4 seconds, he is at the 40-yard line. This is evidence that _____
a.) he is accelerating
b.) he is moving with a constant speed (on average)
c.) he is covering a greater distance in each consecutive second
Answers
Answer:
Option (b) he is moving with a constant speed (on average)
Explanation:
To know which option is correct, let us calculate the speed at each time.
Case 1:
Distance = 10 yard
Time = 1 s
Speed =?
Speed = distance / time
Speed = 10 / 1
Speed = 10 yard/s
Case 2:
Distance = 20 yard
Time = 2 s
Speed =?
Speed = distance / time
Speed = 20 / 2
Speed = 10 yard/s
Case 3:
Distance = 30 yard
Time = 3 s
Speed =?
Speed = distance / time
Speed = 30 / 3
Speed = 10 yard/s
Case 4:
Distance = 40 yard
Time = 4 s
Speed =?
Speed = distance / time
Speed = 40 / 4
Speed = 10 yard/s
From the calculations made above, we can see clearly that the speed at each case is the same i.e constant. This is true because he is covering the same distance with respect to time.
This also means that the footballer is not accelerating as his speed remains the same i.e constant.
Thus, option B gives the correct answer to the question.
Questions #11, 12, and 13:
Part 1 of 3: 2.4 cm³ of water is boiled at atmospheric pressure to become 4514.7 cm³ of steam, also at atmospheric pressure. Calculate the work done by the gas during this process. The latent heat of vaporization of water is 2.26 × 10⁶ J/kg. Answer in units of J.
Part 2 of 3: Find the amount of heat added to the water to accomplish this process. Answer in units of J.
Part 3 of 3: Find the change in internal energy. Answer in units of J.
Answers
During the isobaric expansion;
work done by the gas is 457.2 Jheat absorbed by the water is 4520 Jthe change in internal energy of a system is 4062.8 J.What is the work done by a gas in an isolated process?The work done by a gas in an isolated expansion is the product of pressure and change in volume.
\(W = p\times \Delta V\)
1 atm = 101325 Pa
2.4 cm³ = 2.4 × 10^-6 m³
4514.7 cm³ = 4514.7 × 10^-6 m³
\(W = 101325 Pa \times (4514.7\times 10^{-6} m^3 - 2.4\times10^{-6} m^3) = 457.2 J \\ \)
Thus, work done by the gas is 457.2 J
Tje Heat absorbed by the water during vaporization process is calculated using the formul:
Q = m×ΔHvapmass of water = density × volume
mass of water = 1 g/cm³ × 2.4 cm³ = 2 g = 0.002 kg
Q = 0.002 kg × 2.26 × 10⁶ J/kg
Q = 4520 J
Thus, heat absorbed by the water is 4520 J
The change in internal energy, ΔU of a system is given as the heat absorbed minus the work done by the system.
\(\Delta U = Q-W \)
ΔU = 4520 J − 457.2 J = 4062.8 J
Therefore, the change in internal energy of a system is 4062.8 J.
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a kid uses a slingshot to shoot a rock at a target. when the kid applies a net force of 8.68 N forward, the rock accelerates at a rate of 12.4 m/s^2 forward. What is the rocks mass?
Answers
Answer:
0.7kg
Explanation:
Given parameters:
Force on the rock = 8.68N
Acceleration = 12.4m/s²
Unknown:
Mass of the rock = ?
Solution:
From newton's second law of motion, the net force on a body is the product of mass and acceleration
Net force = mass x acceleration
Now insert the parameters and solve the problem;
8.68 = mass x 12.4
mass = \(\frac{8.68}{12.4}\) = 0.7kg
Why do the moons of saturn have large amounts of methane and ammonia ice, but the moons of jupiter do not?.
Answers
Answer:
It was too warm for these ices to condense at Jupiter's distance in the solar nebula.
Answer:
It was too warm for the ice to condense at Jupiter's distance in the solar nebula.
4. A 1.50 m long aluminum wire has a diameter of 0.750 mm. If a force of 60.0 N is suspended from the wire. Find: (a) The stress, (b) the strain, and (c) the elongation of the wire. Young's modulus of aluminum is Y
Alum. =7.0×10^10N/m^2.
Answers
(a) The stress of the aluminum wire can be calculated using the formula stress = force/area, where the force is 60.0 N and the area can be determined using the formula area = π(radius)^2.(b) The strain of the wire can be calculated using the formula strain = change in length/original length.(c) The elongation of the wire can be calculated using the formula elongation = strain * original length.
(a) To calculate the stress of the aluminum wire, we need to determine the area of the wire. The diameter of the wire is given as 0.750 mm, which can be converted to meters by dividing by 1000. Using the formula area = π(radius)^2, we can find the area of the wire. Once we have the area, we can calculate the stress using the formula stress = force/area.
(b) The strain of the wire can be calculated using the formula strain = change in length/original length. Since the original length is given as 1.50 m, we need to find the change in length. The change in length can be determined by considering the elongation of the wire under the given force.
(c) The elongation of the wire can be calculated using the formula elongation = strain * original length. Once we have calculated the strain in part (b), we can use it to determine the elongation of the wire under the given force.
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romeo (81.0 kg) entertains juliet (47.0 kg) by playing his guitar from the rear of their boat at rest in still water, 2.70 m away from juliet, who is in the front of the boat. after the serenade, juliet carefully moves to the rear of the boat (away from shore) to plant a kiss on romeo's cheek. (a) how far (in m) does the 81.0 kg boat move toward the shore it is facing? m (b) what if? if the lovers both walk toward each other and meet at the center of the boat, how far (in m) and in what direction does the boat now move? magnitude m direction ---select---
Answers
(a) The boat moves towards the shore it is facing with a distance of 0 m.
(b) If the lovers both walk towards each other and meet at the center of the boat, the boat moves in the opposite direction with a distance of 2.58 m. The lovers meet at a distance of 1.29 m from the initial position of Juliet in the front of the boat. The direction of the boat's motion is opposite to the initial direction of Romeo's guitar.
We can solve this problem using the principle of conservation of momentum, which states that the total momentum of a system remains constant if no external forces act on it.
(a) When Juliet moves to the rear of the boat, she applies a force on the boat in the forward direction. This force causes the boat to move in the opposite direction, i.e., towards the shore. The boat and the lovers are initially at rest, so the initial momentum of the system is zero. After Juliet moves to the rear of the boat, the momentum of the system is given by
m1v1 + m2v2
where m1 and v1 are the mass and velocity of Romeo and his guitar, and m2 and v2 are the mass and velocity of Juliet and the boat after she moves to the rear.
Since there are no external forces acting on the system, the total momentum of the system must remain zero. Therefore,
m1v1 + m2v2 = 0
We can solve for v2
v2 = - m1/m2 × v1
where "-" sign indicates the direction of the velocity is opposite to that of Romeo's guitar.
Plugging in the given values, we get
v2 = - (81.0 kg)/(81.0 kg + 47.0 kg) × 0 m/s = - 0 m/s
This means that the boat and Juliet do not move in the direction of Romeo's guitar. Instead, they move in the opposite direction with a velocity of 0 m/s. Therefore, the boat moves towards the shore it is facing with a distance of 0 m.
(b) If the lovers both walk towards each other and meet at the center of the boat, their total momentum is still zero since there are no external forces acting on the system. Therefore,
m1v1 + m2v2 = 0
where m1 and v1 are the mass and velocity of Romeo and his guitar, and m2 and v2 are the mass and velocity of Juliet and the boat after they meet at the center.
Let's assume that they meet at a distance x from the initial position of Juliet in the front of the boat. Then, the velocity of Romeo and his guitar is
v1 = - x/t
where t is the time taken by them to meet at the center of the boat.
The velocity of Juliet and the boat is
v2 = x/t
Substituting these values in the conservation of momentum equation, we get
m1×(-x/t) + m2×(x/t) = 0
Solving for x, we get
x = m2/(m1 + m2) × d
where d is the initial distance between Romeo and Juliet, i.e., 2.70 m.
Substituting the given values, we get
x = (47.0 kg)/(81.0 kg + 47.0 kg) × 2.70 m = 1.29 m
The boat moves in the opposite direction with a distance of 2x, i.e., 2.58 m. The direction of the boat's motion is opposite to the initial direction of Romeo's guitar.
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The answer to a multiplication problem is called the?
Answers
Answer:
product
Explanation:
Answer:
product
Explanation:
You find the product when you multiply two or any number of factors.
In which of the following frames does Newton’s 1st law of motion apply (There is no change in motion without force)?
The upper surface of a plank translating on a floor with friction)
The horizontal plane of an accelerating lift )
The vertical plane of an accelerating lift )
A braking bus)
Answers
Answer:
Newton's Law "does not apply" to the horizontal plane of an accelerating lift - all of the others must obey the first law
A 1,200 kg car initially traveling at 20 meters/second increases its speed to 28 meters/second. How much work
did the car's engine have to do to cause this change?
A. 38,400 Joules
B. 230,400 Joules
C. 240,000 Joules
D. 470,400 Joules
Answers
B
Explanation:
I not sure try to solve I am sorry
8. Fig. 4.1 shows a heavy ball B of weight W suspended from a fixed beam by two ropes P and Q.
P and Q are both at an angle of 45° to the horizontal. The tensions in P and Q are each 30 N.
a. In the space below, draw a scale diagram to find the resultant of the tensions
in P and Q. Use a scale of 1.0cm to represent 5.0 N. Label the forces and show
their directions with arrows.
Answers
Answer:
a. Please find attached the required scale diagram drawn to scale using Microsoft Word
The resultant tension, R = W = 42.415 N
Explanation:
The given parameters are;
The angle P and Q makes with the horizontal = 45°
The tensions in the ropes P and Q = 30 N each
The weight of the heavy ball B suspended from the fixed beam by the ropes = W
The scale drawing is drawn using Microsoft Word
The required scale factor of the scale diagram, S.F. = 5.0 N/cm
Therefore, we have;
The length of the line representing the tensions P and Q = 30 N/(5.0 N/cm) = 6 cm
The length of the resultant vector, R = \(\underset{P}{\rightarrow}\) + \(\underset{Q}{\rightarrow}\)
By the parallelogram law of vector addition, by measurement, we have;
R = 8.483 cm
By conversion using the scale factor of the scale drawing, we have;
R = R × S.F. = 8.483 cm × 5.0 N/cm = 42.415 N
∴ The resultant in the tensions, R = \(\underset{P}{\rightarrow}\) + \(\underset{Q}{\rightarrow}\) = 42.415.
DUE in 10 MINS 20 points will mark BRAINLIEST what happens to a substance when it reaches a point above it's boiling point?
Answers
Answer:
When a liquid is heated, it eventually reaches a temperature at which the vapor pressure is large enough that bubbles form inside the body of the liquid. This temperature is called the boiling point. Once the liquid starts to boil, the temperature remains constant until all of the liquid has been converted to a gas.
Explanation:
A circuit is made up of a power source, a coil of copper wire, a moving bar
magnet, and conducting wires. Which part could you remove from the circuit
and still have a working electromagnet?
O A. The power source
O B. The coil of copper wire
O C. The moving bar magnet
O D. The conducting wires
Answers
Answer:the power source
Explanation:
Answer:
A. The power source
Explanation:
Just took the quiz
In one sentence describe how modeling is used in science
Answers
Answer:
Modeling is used in science to simplify complex systems and phenomena, allowing scientists to make predictions and test hypotheses.
Explanation:
If John walks around the block, what distance does he travel?
Answers
Answer:
hmm do you now how to divide
or no
Explanation:
How many grams of aluminum sulfate must be dissolved in 650. mL of water to make 84.0% (m/v) aluminum sulfate solution?
Answers
3415.2 grams
Explanation
to solve this we can use a rule of three
Step 1
Let
water= 100-84%= 16%
so,
\(\text{ 16 \%=650 mL}\)for the water , 1 mL = 1 gram , so
\(\text{ 16\% =650 grams}\)now, let represents the mass of the aluminiu, so
\(\text{ 84 \%= x}\)a) the ratio is the same, so we have a proportion
\(\frac{16}{650}=\frac{84}{x}\)Step 2
finally, solve for x
\(\begin{gathered} \frac{16}{650}=\frac{84}{x} \\ \text{cross multiply } \\ 16\cdot x=84\cdot650 \\ 16x=54600 \\ \text{divide both sides by 16} \\ \frac{16x}{16}=\frac{54600}{16} \\ x=3412.5 \end{gathered}\)so, the mass of the aluminum is
3415.2 grams
A stomp rocket takes 3.1 seconds to reach its maximum height.
What was its maximum height?
Answers
Answer:
height where rocket goes
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