3. A 40-gram ball of clay is dropped from a height, h, above a cup which is attached to a spring of spring force constant, k, of 25 N/m. The ball lands in the cup, and the spring compresses a distance, x. If x is 0.506 m, then what is the maximum speed of the ball?

Answers

Answer 1

Answer:

the maximum speed of the ball is 12.65 m/s

Explanation:

Given;

mass of the ball, m = 40 g = 0.04 kg

spring constant, k = 25 N/m

Apply the principle of conservation of energy;

The Elastic potential energy of the spring will be converted into Kinetic of the ball;

[tex]\frac{1}{2} kx^2 = \frac{1}{2} mv^2\\\\ kx^2 = mv^2\\\\v^2 = \frac{kx^2}{m} \\\\v = \sqrt{\frac{kx^2}{m}} \\\\v = \sqrt{\frac{(25)(0.506)^2}{0.04}} \\\\v = \sqrt{160.0225} \\\\v = 12.65 \ m/s[/tex]

Therefore, the maximum speed of the ball is 12.65 m/s


Related Questions

Which of the following BEST describes what occurs in a fusion reaction?

A.
Two low mass nuclei are joined to form one nucleus.

B.
A single nucleus divides into two or more nuclei and gives off energy.

C.
Electrons are shared between the nuclei.

D.
A chemical reaction occurs between the nuclei.

Answers

Answer:

Two mass nuclei are joined to form one nucleus

Explanation:

As the name implies "fusion", it is the joining of lighter nucleus to form a heavier nucleus to produce energy

Which would not be a reason for using wind power?
O Wind power has been created in areas where the wind is fast and consistent to provide consistent power.
O Wind power produces no pollution whatsoever.
O Wind power requires much less capital than other forms of alternative energy.
O Wind cannot be transported or used directly.

Answers

C it takes a lot of capital to get the windmills and the fields of windmills set up

Help meeee help plsssss

Answers

Answer:

3a. 240 C

3b. 3666.67 A

Explanation:

3a. Determination of the charge.

Current (I) = 2 A

Time (t) = 120 s

Charge (Q) =?

The charge, current and time are related by the following equation:

Charge (Q) = current (I) × time (t)

Q = It

With the above formula, we can obtain the charge as follow:

Current (I) = 2 A

Time (t) = 120 s

Charge (Q) =?

Q = It

Q = 2 × 120

Q = 240 C

Thus, the charge is 240 C

3b. Determination of the current

We'll begin by converting 220 KC to C. This can be obtained as follow:

1 KC = 1000 C

Therefore,

220 KC = 220 KC × 1000 C / 1 KC

220 KC = 220000 C

Next, we shall express 1 minute in second. This is shown below:

1 min = 60 s

Finally, we shall determine the current. This can be obtained as follow:

Charge (Q) = 220000 C

Time (t) = 60 s

Current (I) =?

Q = It

220000 = I × 60

Divide both side by 60

I = 220000 / 60

I = 3666.67 A

Thus, the current flowing through the bulb is 3666.67 A

I am pushing on a large box with 200N of force. Clint is pushing on the box with 200N of force in the opposite direction. Why won't the box move?

Answers

Equal forces or balances forces cancel each other out. One side would have to have more force to move in the direction of least force.

NEED HELP In which of the following scenarios is work done?Single choice.
(2 Points)

A weightlifter holds a barbell overhead for 2.5 s.

A construction worker carries a heavy beam while walking at constant speed along a flat surface.

A car decelerates while traveling on a flat stretch of road.

A student holds a spring in a compressed position.

Answers

Answer: b. A construction worker carries a heavy beam while walking at constant speed along a flat surface.

Explanation:

Answer:

A construction worker carries a heavy beam while walking at constant speed along a flat surface.

hope it is helpful to you

Samples of different materials, A and B, have the same mass, but the sample
of A is higher in density. Which statement could explain why this is so?
A. The sample of material A has greater volume than the sample of
material B.
B. The particles that make up material B have more mass than the
particles that make up material A.
C. The particles that make up material B are more closely packed
together than the particles that make up material A.
D. The particles that make up material A have more mass than the
particles that make up material B.

Answers

Answer:

B. The particles that make up material B have more mass than the

particles that make up material A.

Explanation:

if the voltage across a 12 ohm resistor is 4.0 volts. the current through the resistor is?

Answers

Answer:

Current = 0.33 Amperes

Explanation:

Given the following data:

Resistance = 12 ohm

Voltage = 4 v

To find the current;

Ohm's law states that at constant temperature, the current flowing in an electrical circuit is directly proportional to the voltage applied across the two points and inversely proportional to the resistance in the electrical circuit.

Mathematically, Ohm's law is given by the formula;

Voltage = current * resistance

Substituting into the formula, we have;

4 = current * 12

Current = 4/12

Current = 0.33 Amperes

PLS HELP
Light of wavelength A and frequency fpasses through a single slit of width a. A diffraction pattern is observed on a screen at a distance x from the slit. Which change will decrease the width of the central maximum?
A. Decrease the frequency of the light
B. Decrease the wavelength of the light.
C. Decrease the width of the slit.

Answers

The answer would be letter choice B

Which of the following
statements is correct?
A. Matter flows one way, but energy cycles in an
ecosystem.
B. Matter cycles in an ecosystem, but energy
flows into, and eventually exits, an ecosystem.
C. Matter and energy can flow and cycle in an
ecosystem, depending on the temperature,
D. Neither matter nor energy cycle in an
ecosystem

Answers

The correct statement is B. Matter cycles in an ecosystem, but energy flows into, and eventually exits, an ecosystem.

What is ecosystem?

Ecosystem is a community of living organisms interacting with each other and their physical environment. It includes plants, animals, microorganisms, soil, water, and other resources, and the chemical and energy exchanges between them.

This is because energy enters an ecosystem through sunlight and is transformed through the process of photosynthesis by producers, like plants, into chemical energy. This energy is then passed on to consumers, like humans, through a food chain. Eventually, energy exits the ecosystem in the form of heat, which is released into the environment. On the other hand, matter cycles within an ecosystem through a process called the biogeochemical cycle. Nutrients, like carbon and nitrogen, enter the environment from different sources and are taken up by producers and then passed on to consumers. The matter is then returned to the environment as waste, which is then taken up by producers again.

To know more about biogeochemical cycle,

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If a book has a weight of 23.3 N on earth, what is its mass

Answers

Answer:

2.38 kg

Explanation:

by definition, weight in physics is the force of gravity (Fg)

Fg = mass x gravity or mg

gravity is 9.8 m/s^2

N = kg m/s^2

Fg = mg

23.3 kg m/s^2 = 9.8 m/s^2 x m

23.3 kg m/s^2 / 9.8 m/s^2 = m    >>> m/s^2 cancel out

23.3/9.8 = 2.37755 kg

m = 2.38 kg

explain why does the bowling ball decelerate as it travels along the lane

Answers

The main cause of this is Friction. The more oil that is laid down, the less friction there is between the ball and the lane surface. The less friction, the harder it is for the bowler to send the ball in a curved path imparted by the spin that the bowler puts on the ball at the instant of release.

what factors could enhance memory and kept constant? and why​

Answers

To help make sure information goes from short-term memory to long-term memory, you can use memory-enhancing strategies. One strategy is rehearsal, or the conscious repetition of information to be remembered. Think about how you learned your multiplication tables as a child.

Proven ways to protect memory include following a healthy diet, exercising regularly, not smoking, and keeping blood pressure, cholesterol, and blood sugar in check. Living a mentally active life is important, too. Just as muscles grow stronger with use, mental exercise helps keep mental skills and memory in tone.

According to one study, mental stimulation like reading can help protect memory and thinking skills, especially as you age. The authors even suggest that reading every day can slow down the late-life cognitive decline. ... The act of reading helps to heighten overall brain function and increase memory.

Let's take a deeper dive into evidence-based exercises that offer the best brain-boosting benefits.

Have fun with a jigsaw puzzle. ...

Try your hand at cards. ...

Build your vocabulary. ...

Dance your heart out. ...

Use all your senses. ...

Learn a new skill. ...

Teach a new skill to someone else. ...

Listen to or play music.

A body is thrown up with with velocity u.it reaches maximum height h. If velocity of projection is doubled the maximum height is..

Answers

Answer: 4h

Explanation:

Given

The body is thrown vertically upward with velocity u and reaches a height of h

The relation between u and h is given by

[tex]\Rightarrow v^2-u^2=2as\\[/tex]

Put [tex]v=0,a=-g[/tex] in above equation

[tex]\Rightarrow 0-u^2=2(-g)h\\\\\Rightarrow h=\dfrac{u^2}{2g}[/tex]

If the velocity of projection is doubled i.e. 2u

[tex]\Rightarrow h'=\dfrac{(2u)^2}{2g}\\\Rightarrow h'=4\times \dfrac{u^2}{2g}\\\\\Rightarrow h'=4h[/tex]  

The maximum height becomes 4h

A satellite is acted upon by a 10n force upwards and 20n force downwards. What is the net force acting on the satellite and what direction will it move in

Answers

Answer:

Net force = 10 N in downward direction

Explanation:

Given that,

Upward force = 10 N

Downward force = 20 N

Let downward is negative and upward is positive.

Net force = 10+(-20)

= -10 N

So, the net force is 20 N and it is acting in downward direction.

El siguiente esquema representa un objeto con un volumen de 2cm^3 sumergido en un recipiente que contiene agua. La densidad del agua es 1 g/cm^3 . Si solo la mitad del objeto se encuentra sumergido, el valor de la masa del agua desalojada por el objeto es de:

Answers

Answer:

Ver explicación

Explanation:

Según los principios de Arquímedes, el empuje hacia arriba de un objeto sumergido en un fluido es igual al peso del fluido desplazado.

Por eso

Empuje hacia arriba = volumen del objeto * densidad del fluido * aceleración debida a la gravedad

Empuje hacia arriba = 2 * 10 ^ -6 / 2 * 1 * 10 ^ 3 * 10

Empuje hacia arriba = 0.01 N

Desde;

Empuje hacia arriba = peso del fluido desplazado

peso del fluido desplazado = 0.01 N

Masa de fluido desplazado = 0.01 N / 10 = 1 * 10 ^ -3 Kg o 1 g

A wave is moving at the rate of 40 cm/s. Its wavelength is 5 cm. What is the frequency of the wave? INCLUDE THE CORRECT UNIT!

Answers

Answer:

Solution given:

velocity=40cm/s

wave length=5cm

we have

frequency =velocity/wavelength=40/5=8hertz.

the frequency of the wave is 8 hertz.

NEED HELP A string is fixed at both ends and standing waves with 5 loops are produced. If the length of the string is 60 cm, what is the wavelength of the waves?Single choice.
(2 Points)

6 cm

12 cm

18 cm

24 cm

Answers

Answer:

12 cm is the required answer for your question

hope it is helpful to you

Answer: 12

Explanation:

60/5=12

25. Suppose there is no unbalanced force acting on a moving object. How will
the object's motion continue?
A. The speed of the object will decrease.
B. The speed of the object will increase.
C. The speed of the object will remain the same.
D. The direction of the object's velocity will change.

Answers

Answer:

C

Explanation:

Grammar is probably one of the most important components of the sciences besides math.

no unbalanced forces means that there is no force left over that cause an acceleration. All the forces are balanced.

So the Speed will not decrease. Not A.

The speed will not increase. Not B

The direction will not be affected. Not D    

The answer is C

What type of lens is used in the viewfinder of a simple camera and why? (Concave or convex)

Answers

Answer:

convex

sorry if this is wrong

what is the symbol end unit for electric charge ​

Answers

Answer:

The SI unit of electric charge is the coulomb and is represented by the symbol C.

[tex] \large\sf \leadsto\pmb{ Symbol \: Unit \: For \: Electric \: Charge}[/tex]

[tex] \sf \blue {The \: SI \: unit \: of \: electric \: charge \: is \: coulomb \: which \: is \: also \: represented \: as \: C!}[/tex]

What’s the name of the muscle indicated on the image below?

1.Tricep
2.Oblique
3.Quadricep
4.Trapezius

Answers

Answer:

Oblique

Explanation:

I think that's the answer I was told this but forgot if this is the right answer if not then sorry

Which device uses electricity to produce a rotational motion? A computer C magnet B generator D motor​

Answers

Answer:

B generator

Explanation:

Some liquid is poured into a burette so that it reads 14cm³.50 drops were run each of volume 0.1cm³ What is the volume of the 50 drops. (4marks)

Answers

Answer:

  V = 5 cm³

Explanation:

In this exercise the volume (Vo = 0.1 cm³) of each drop is indicated, requesting the volume of 50 drops

                      V = V₀    #_drops

                      V = 0.1   50

                      V = 5 cm³

Answer:

[tex]V_{50}=5cm^3[/tex]

Explanation:

From the question we are told that:

Volume of liquid in burette [tex]V_b=14cm^3[/tex]

Volume of drop of liquid [tex]V_d=0.1cm^3[/tex]

Number of drops [tex]n=50[/tex]

Generally the equation for volume of 50 drops V_{50} is mathematically given by

 [tex]V_{50}=V_d*n[/tex]

 [tex]V_{50}=0.1*50[/tex]

 [tex]V_{50}=5cm^3[/tex]

Therefore the volume of the 50 drops

  [tex]V_{50}=5cm^3[/tex]

If you are 1 m above the surface of the earth, and then you jump to 2 m above the surface of the earth.
The force of gravity between you and the earth will be:
a.) About 4
b.) About 12
c.) About the same

Answers

Answer:

b

Explanation:

Two students go to play basketball. They notice the ball is flat (it won't bounce). They decide to pump it up with air. After it is pumped with air, will the ball have more, less, or the same amount of mass as before air was added?

A. The ball has less mass after being pumped with air.

B.Cannot determine unless we measure the mass.

C.The ball has more mass after being pumped with air.

D. The ball has the same amount of mass after being pumped with air.

Justify your answer

Answers

answer: c. the ball has more mass after being pumped with air

explanation: the reason this is, is because air is made up of tiny particles that have mass. therefore, when more air is pumped into the basketball, the mass increases.

The ball has more mass being pumped with air. So, option (C) is correct answer.

What is mass?

In physics, mass is a quantitative measurement of inertia, a basic characteristic of all matter. It essentially refers to a body of matter's resistance to changing its speed or location in response to the application of a force. The change caused by an applied force is smaller the more mass a body has. The kilogram serves as the unit of mass in the International System of Units (SI).

As the amount of air is added to the basketball by pumping it up with air, the mass of air is also added with the basketball. Hence, the ball has more mass now.

Learn more about mass here:

https://brainly.com/question/19694949

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Find the equivalent resistance of this
circuit.
Ri
R2
1002
2002
R3
600 12

Answers

Answer:

63016

Explanation:

Ri+R2+R3 this is called series circuit

Answer:

200

Explanation:

100+200=300

1/300+1/600=200

What is the wavelength of sound wave in air that has a temperature of 24.6°C that has a frequency of 440.8 Hz?

A. 465.40 m
B. 0.78 m
C. 17.92 m
D. 0.75 m

Answers

The answer is c have a good day

why are dams have broader walls at the bottom?

Answers

A dam has broader walls at the bottom than at the top to withstand the great pressure of water which increases with increase in depth.


Which answer is consistent with a replacement of light bulb that will increase
the intensity (brightness) of the light in a room

Answers

Answer:

What increases the brightness of a light bulb?

Increasing the voltage increases the brightness of the bulb. When a bulb in a series circuit is unscrewed all bulbs in the circuit go out. Increasing the number of bulbs in a series circuit decreases the brightness of the bulbs. ... Bulbs in parallel are brighter than bulbs in series.

Electricity is converted into other forms of _________ such as heat, sound, or light.

Answers

Answer:

chemical i think

I hope this helped

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