A Stone of mass 40kg is released from
A Catapult whose rubber has been stretched
through 5mm. If the stiffness of the rubber
is 20 Nm^1 CALCULATE the velocity with which
the stone Leaves the Catapult!​

Answers

Answer 1

Answer:

v = 3.53x10⁻³ m/s.

Explanation:

We can find the velocity of the rock by energy conservation:

[tex] \Sigma E_{i} = \Sigma E_{f} [/tex]        

[tex] \frac{1}{2}kx^{2} = \frac{1}{2}mv^{2} [/tex]

Where:

i is for initial and f is for final

k: is the stiffness of the rubber = 20 N/m

x: is the distance of the rubber compression = 5 mm = 0.005 m

m: is the mass of the stone = 40 kg

v: is the velocity =?

Hence, the velocity is:

[tex]v = \sqrt{\frac{kx^{2}}{m}} = \sqrt{\frac{20 N/m(0.005 m)^{2}}{40 kg}} = 3.53 \cdot 10^{-3} m/s[/tex]

Therefore, the velocity with which the stone leaves the catapult is 3.53x10⁻³ m/s.

 

I hope it helps you!  


Related Questions

a mass hanged on a spring scale. what is the force exerted by gravity on 700g ?

Answers

Answer:

6.86 N

Explanation:

Applying,

F = mg............... Equation 1

Where F = Force exerted by gravity on the mass, m = mass, g = acceleration due to gravity

Note: The Force exerted by gravity on the mass is thesame as the weight of the body.

From the question,

Given: m = 700 g = (700/1000) = 0.7 kg

Constant: g = 9.8 m/s²

Substitute these values into equation 1

F = 9.8(0.7)

F = 6.86 N

Si: A + B = C – D es una ecuación física donde A, B, C y D son magnitudes físicas entonces [ A ] = [ B ] = [ C ] = [ D ]

Answers

Answer:

[tex][A] = [B] = [C] = [D][/tex] por el Principio de Homogeneidad Dimensional y el uso de operaciones de adición y sustracción.

Explanation:

Por el Principio de Homogeneidad Dimensional, A, B, C y D deben tener las mismas magnitudes físicas para la realización de operaciones de adición y sustracción. Es decir:

[tex][A] + [B] = [C] - [D][/tex], donde [tex][A] = [B] = [C] = [D][/tex]

Two examples of chemical reactions that involved a thermal energy change:
1. NH4NO3 (s) + heat ---> NH4+ (aq) + NO3 (aq)
2. CaCl2 (s) + 2H20 ---> Ca(OH)2 (aq) + 2HCl (g) + heat
Which is exothermic? Which is endothermic? How do you know?

Answers

Answer:

Option 1 is endothermic

Option 2 is exothermic

Explanation:

In Chemistry, Exothermic reactions are reactions whereby heat energy is transferred to the surroundings and the temperature of the surroundings increases. Endothermic reactions are those whereby heat energy from the surroundings is absorbed and thereby making the temperature of the surroundings to decrease.

This means in simple terms that endothermic reactions will have heat on the reaction side of the equation while exothermic will have heat on the product side of the equation.

Thus;

Option 1 is endothermic since it has heat absorbed on the reactant side.

Option 2 is exothermic since it gives off heat on the product side.

what is parking orbit?​

Answers

A parking orbit is a temporary orbit used during the launch of a spacecraft. A launch vehicle boosts into the parking orbit, then coasts for a while, then fires again to enter the final desired trajectory.

Hope this helps!

Have a great day :)

Answer:

A temporary orbit in which a spacecraft awaits the next phase of its mission .

In Rutherford's model of the atom, the positive charge
A) occupies most of the space in the atom
B) is concentrated at the center of the atom
C) is distributed throughout the atom's volume
D) revolves about the nucleus in specific orbits

Answers

Answer:

the correct address is B

In Rutherford's model of the atom, the positive charge is concentrated at the center of the atom.

What is Rutherford's model?

The model described the atom as a tiny, dense, positively charged core called a nucleus, in which nearly all the mass is concentrated, around which the light, negative constituents, called electrons, circulate at some distance, much like planets revolving around the Sun.

To learn more about Rutherford's model here

https://brainly.com/question/11749615

#SPJ2

a man runs 1200m on a straight line in 4 min . find his velocity.

Answers

Answer:

5m/sec^2

Explanation:

Distance=1200m

Time=4 min

1=60sec

4=4 x 60

=240sec

Velocity=Distance/Time

Velocity=1200/240

Velocity=5m/sec^2

Mark me as brainliest

what can make an inclined plane more efficient?

Answers

Answer:

Efficiency can be increase by using rollers in conjunction with the inclined plane. Wedge. The wedge is an adaptation of the inclined plane. It can be used to raise a heavy load over a short distance or to split a log

the use of thermostat in a gas cooker is to ​

Answers

Explanation:

An oven thermostat regulates the temperature inside an oven. The thermostat's temperature-sensitive probe measures the oven's warmth, switching the heat on and off as necessary to maintain the correct temperature.

A block slides down a smooth inclined surface and the gap between the block and the surface contains viscous fluid. Assume the velocity distribution in the gap is linear, and the area of the block in contact with the vicious fluid remains constant. If you increase the inclined angle, the terminal velocity will Group of answer choices

Answers

Answer:

The velocity increases as the inclination increases.

Explanation:

hen a block moves downwards along the inclined plane, the viscous property of the fluid between the block and the inclined acts and thus there is a friction between the block and surface.  

When gravitational force acting along the plane provides the acceleration of the block.

When  the angle of inclination increases, the acceleration along the plane increases and thus the velocity increases.

Orion Balatik Big Dipper Apparent Brightness Absolute Brightness Polaris Star Trail Malihe Gemini Buwaya 1. Local constellation that signifies the start of rainy season in the Philippines. 2. Local constellation that appears in the month of March. 3. It is seen in the Philippines during the months of April and May. 4. The constellation where we can find Merak and Dubhe. 5. It is the brightes star in the constelation Ursa Minor (Little Dipper). 6. It is a type of photograph that utilizes long-exposure times to capture the apparent motion of stars in the night sky due to the rotation of the Earth. 7. The star's brightness as seen from the Earth. 8. The brightness of the stars if they are at the same standard distance from Earth. 9. This constellation means hunter and is prominent in the night sky all over the world during winter. 10. The local constellation that appears on the month of February and signifies start of planting and setting of traps to protect the crops from animals.​

Answers

I’m nit sure about this but I say it’s 4 the constellation where we can find Merak and Dubhe.

help please!!
From the following images shown, classify the interactions that occur and say between which bodies, according to the following criteria:
a) Contact forces
b) Non-contact forces

Answers

Answer:

B= 4 A=5

Explanation:

which one of the following statements is not correct about galvanometer?
A) it is used to measure small amount of current.
B) it has infinity resistance.
C) it can be used to measure voltage if shunted with large load in series.
D) its working principle is the same as that of the electric motor.

Answers

Answer:

B

Explanation:

galvanometer has a small resistance ....

I dont know whether the answer is right...

which material has more specific heat?

Answers

Answer:

SO

Explanation:

SI

Answer:

Explanation:

dynamic equilibrium

Which best describes the electric field created by a positive charge?

A. It circles clockwise around the charge.
B. It circles counterclockwise around the charge.
C. Its rays point away from the charge.
D. Its rays point toward the charge.

Answers

Answer:

Which best describes the electric field created by a positive charge? ... Its rays point toward the charge.

Explanation:

thank me later

what happen when I put a coloured ice cube in warm water​

Answers

Answer:

it would melt with the hot weather

Explanation:

It melts and the water changes color

the quantum theory of radiation reflects:

the principle of superposition
the electromagnetic theory of light
the special theory of relativity
the principle of the photoelectric effect ​

Answers

Answer:

The electromagnetic theory of light , that's the answer

Answer:

the electromagnetic theory of light

Explanation:

got it right on o.w

What is the product of an object’s mass and velocity equal to?
a. Acceleration
b. Work
c. Power
d. Momentum

Answers

Answer:

momentum (d) it's s preety easy haaaaaaaa

How much energy is transferred when the potential difference is 230 volts and the charge is 5 coulombs?

Answers

Answer:

1150J

Explanation:

Voltage = energy / charge

energy = Voltage * charge

energy = 230v * 5C = 1150J

The metal wire in an incandescent lightbulb glows when the lights is switch on and stops glowing when switched off. This simple process is which kind of a change?

Answers

Answer:

When the metal wire in an incandescent lightbulb glows when the light is switched on and stops glowing when it is switched off, this is an example of resistance, which provides light and heat.  

Explanation:

Opening or closing a circuit.

Bài 1. Ở nhiệt độ 17°C, có bao nhiêu phần trăm phân tử khí có các vận tốc sai khác
không quá 0,5m/s, các vận tốc sau đây? Lấy g=0,029kg / mol
a. v=v; b. v=0.lv

Answers

Answer:

hi i only dont understand want ur saying

A rope horizontally pulls a massive object lying on a surface with friction with a constant
velocity. What describes the force on the rope?

Answers

Answer:

Equal to the frictional force

Explanation:

Question; The options given with regards to a similar question posted online are;

A. Equal (equivalent) to the frictional force

B. Larger than the frictional force

C. Equal to the object's weight

D. More than the object's weight

Explanation

According to Newton's first law of motion, every object shall remain at rest or continue moving with uniform (constant speed) motion unless there is a net force acting on the object

Given that the velocity of the massive block, lying on the surface that has friction, being pulled by the rope = Constant

Therefore;

The net force acting on the moving block while being pulled by the rope = 0

From which we have;

The pulling force = The resistive force

Where;

The pulling force = The (pulling) force (applied) on the rope

The resistive force = The frictional force of the surface which tends to prevent the motion of the block

Therefore, given that the net force acting on the block = 0

The force on the rope = The frictional force (of the surface)

The correct option is option A. Equal to the frictional force.


A man ran a 5 mile race. The race looped around a city park and back
to the starting line. What is the man's total displacement?
A. 0 miles
B. 2.5 miles
C. 5 miles
D. 10 miles

Answers

Answer:

How big the city because it could be a big all city

pleaseeeeeee helppppp this is mah last question... thank u (. ^ ᴗ ^. )​

Answers

Answer:

44.1 m

Explanation:

Consider the displacement being x:

x = (g•t²)/2

x = (9.8•3²)/2

x = (9.8•9)/2

x = 88.2/2

x = 44.1 m

Answer:

44.1 m

Explanation:

that's the correct answer

You might have noticed that a feather falls slowly toward the ground, while a ball falls rapidly. Which statement correctly explains the motion of these objects?

1. The ball does not experience fluid friction as it falls.
2. Gravity is the only force acting on the feather and the ball.
3.The acceleration of the ball and feather are the same.
4. The feather experiences more fluid friction than the ball.

Answers

Answer:

4. the feather experiences more fluid friction than the ball

cuales son las características de un generador eléctrico? ​

Answers

Answer:

Los generadores eléctricos funcionan según el principio de inducción electromagnética. Una bobina conductora (una bobina de cobre enrollada firmemente sobre un núcleo de metal) se hace girar rápidamente entre los polos de un imán tipo herradura. La bobina conductora junto con su núcleo se conoce como armadura.

What are three methods of water conservation that we can do to protect our aquifers, watersheds, and ground water?

Answers

Answer:

• Go Native. Use native plants in your landscape. ...

• Reduce Chemical Use. Use fewer chemicals around your home and yard, and make sure to dispose of them properly - don't dump them on the ground!

• Manage Waste. ...

Explanation:

There are some easy ways to conserve water to help protect our aquifers, watersheds, and ground water. First, we can all conserve water, by not running the water while we brush our teeth and making sure we fix all leaking or dripping faucets. Another was to conserve water is to collect rain water to use to water your plants. Speaking of plants, you can also plant more zeroscape type landscapes that require less water. We can also update our shower heads and toilets to be low-flow and more efficient. Can't afford a new toilet? Simply add a brick to your tank and this will cut down on the water used for every flush.

Reduce, Reuse, and Recycle
Reduce the amount of "stuff" you use and reuse what you can. Recycle paper, plastic, cardboard, glass, aluminum and other materials.
Natural Alternatives
Use all natural/nontoxic household cleaners whenever possible. Materials such as lemon juice, baking soda, and vinegar make great cleaning products, are inexpensive, and environmentally-friendly.
Learn and Do More!
Get involved in water education! Learn more about groundwater and share your knowledge with others.

Si se aplic una fuerza de 150N en un área de de 0.4m2¿cual será la preciosa ejercida?

Answers

Answer:

P = 375 Pa

Explanation:

The question says that,"If a force of 150N was applied in an area of ​​0.4m², what will be the precious exerted?"

We have,

Force, F = 150 N

Area, A = ​​0.4m²

We need to find the pressure exerted. We know that,

Pressure = forece/area

So,

[tex]P=\dfrac{150\ N}{0.4\ m^2}\\\\P=375\ Pa[/tex]

So, the required pressure is equal to 375 pa.

The velocity of sound in a medium increases with increasing

a. distance
b. amplitude
c. temperature
d. time​

Answers

c- temperature

The speed of sound increases with increasing temperature .

What is the gravitational potential energy of a 3.0-kg rock that is 12.4 m above the ground?

Answers

Answer:

Explanation:

PE = mgh where m is mass, g is the pull of gravity, and h is the height to which the object can possibly fall.

PE = 3.0(-9.8)(-12.4) so

PE = 360 J, rounded to the correct number of sig figs.

The gravitational potential energy of the rock is 362.4 joules.

What is gravitational potential energy?

The gravitational potential energy of an object is given by the formula:

PE = mgh

where PE is the potential energy, m is the mass of the object, g is the acceleration due to gravity (which is approximately 9.81 m/s^2 near the surface of the Earth), and h is the height of the object above a reference point.

In this case, the mass of the rock is 3.0 kg, the height above the ground is 12.4 m, and the acceleration due to gravity is 9.81 m/s^2. Substituting these values into the formula, we get:

PE = (3.0 kg) x (9.81 m/s^2) x (12.4 m) = 362.4 J

Therefore, the gravitational potential energy of the rock is 362.4 joules.

To learn about universal gravitation constant click:

https://brainly.com/question/858421

#SPJ3

The energy of an electromagnetic wave changes proportionally to which

other property?

O A Speed

O B. Shift

O c. Wavelength

O D. Frequency

Answers

Answer:

D. Frequency

Explanation:

The energy of an  electromagnetic wave is proportional to frequency, mathematically it is expressed as;

E ∝ f

E = hf

where;

h is Planck's constant = 6.626 x 10⁻³⁴ Js

The equation above can also be expanded to;

[tex]E = hf = h \frac{c}{\lambda}[/tex]

where;

c is speed of light = 3 x 10⁸ m/s

λ is the wavelength of the electromagnetic wave

Since the speed of light is constant, we can conclude that the energy of the electromagnetic wave is directly proportional to its frequency and inversely proportional to its wavelength.

Therefore, the correct option for direct proportionality is FREQUENCY

Other Questions
What were differences between Romeo and Juliet and Pyramus and Thisbe? `Please help me with this 4/5v = - 8/7 The average height of corn stalks in a field is 71 inches with a standard deviation of 4.3 inches. Sketch a normal curve labeling the horizontal axis at one, two, and three standard deviations from the mean. Helpmeeeeeeeeeeeeeeeeeeee What are the characteristics of the semiarid climate of the Columbia Basin? Check all that apply,cold wintersa high snowfallun hot, dry summersI low precipitationlimited vegetation Su principal funcin es mostrar un juicio o valoracin sobre el tema que expuso dentro del ensayo y se permite dar algunas sugerencias de solucin. *IntroduccinDesarrolloConclusinTtulo Name the following triangle: A. equilateral and rightB. isosceles and obtuseC. isosceles and acuteD. scalene and obtuse Read the excerpt from act 2, scene 1, of Julius Caesar. What does Portia use when speaking to brutus? What do you think the world population will be in 2025? Thinking back to Woodrow Wilson's speech in 1914, does the US involvement in Korea show that the US was trying to "make the world safe for democracy"? Explain your answer. A toddler weighs 10 kg and raises herself onto tiptoe (on both feet). Her feet are 8 cm long with each ankle joint being located 4.5 cm from the point at which her feet contact the floor. While standing on tip toe:(a) what is the upward normal force exerted by the floor at the point at which one of the toddler's feet contacts the floor?(b) what is the tension force in one of her Achilles tendons? (c) what is the downward force exerted on one of the toddler'sankle joints? Please help! 15 points!Suppose the sample space for a continuous random variable is 0 to 200. If the area under the density graph for the variable from 0 to 50 is 0.25, then the area under the density graph from 50 to 200 is also 0.25. O A. True B. False SUBMIT Question 2 of 32A water-skier with a mass of 68 kg is pulled with a constant force of 980 N bya speedboat. A wave launches him in such a way that he is temporarilyairbome while still being pulled by the boat, as shown in the image below.Assuming that air resistance can be ignored, what is the vertical accelerationthat the water-skier experiences on his return to the water surface? (Recallthat g = 9.8 m/s2)Rope ForceODONWeightO A. - 18.1 m/s2OB. - 15.6 m/s2O C. -11.2 m/s2OD. -9.8 m/s2 If k = -18 and m = 7, what is m - k?Submit Read the excerpt from The Monkey's Paw.She ran to the door, but her husband was before her, and catching her by the arm, held her tightly."What are you going to do?" he whispered hoarsely."It's my boy; it's Herbert!" she cried, struggling mechanically. "I forgot it was two miles away. What are you holding me for? Let go. I must open the door."For God's sake don't let it in," cried the old man, trembling."You're afraid of your own son," she cried, struggling. "Let me go. I'm coming, Herbert; I'm coming."How does Mr. Whites reaction to Herberts coming home compare to that of his wifes?He is thrilled, but she is nervous.He is horrified, but she is excited.He is calm, but she is angry.He is sorrowful, but she is happy. Garida Co. is considering an investment that will have the following sales, variable costs, and fixed operating costs: Year 1 Year 2 Year 3 Year 4Unit sales 4,200 4,100 4,300 4,400Sales price $29.82 $30.00 $30.31 $33.19Variable cost per unit $12.15 $13.45 $14.02 $14.55Fixed operating costs $41,000 $41,670 $41,890 $40,100 This project will require an investment of $10,000 in new equipment. Under the new tax law, the equipment is eligible for 100% bonus deprecation at t = 0, so it will be fully depreciated at the time of purchase. The equipment will have no salvage value at the end of the projects four-year life. Garida pays a constant tax rate of 25%, and it has a weighted average cost of capital (WACC) of 11%. Determine what the projects net present value (NPV) would be under the new tax law.Determine what the projects net present value (NPV) would be under the new tax law.a) $80,438b) $67,032c) $77,087d) $60,329 What is the length of a diagonal of a rectangle 9m long and 5m wide? can some one please fill this worksheet Fufufu with me peasantsFufufu~030 Write 4 types of viruses , explain them briefly.