A 263 g ball of clay falls onto a vertical spring.
The spring constant k = 2.52 N/cm.
The clay sticks to the spring and as the spring compresses a distance of 11.8 cm the clay momentarily comes to rest.
Find the maximum compression of the spring, in [cm], if the initial speed of the clay doubled?

Answers

Answer 1

Answer:

d. According to the previous theorem:

(kh^2)/2-mgh-(m(2v)^2)/2=0,

126h^2-2.577h-8.236=0,

h=0.266 m.

Explanation:

Answer 2

The maximum compression of the spring should be 0.266 m.

Given that,

A 263 g ball of clay falls onto a vertical spring. The spring constant k = 2.52 N/cm. The clay sticks to the spring and as the spring compresses a distance of 11.8 cm the clay momentarily comes to rest.

Based on the above information, the calculation is as follows:

[tex](kh^2)\div 2-mgh-(m(2v)^2)\div 2=0\\\\126h^2-2.577h-8.236=0,[/tex]

h=0.266 m

Learn more: brainly.com/question/16911495


Related Questions

What acceleration will you give to a 24.3 kg box if you push it with a force of 85.5 N?

Answers

Heya!!

For calculate aceleration, lets applicate second law of Newton:

                                                   [tex]\boxed{F=ma}[/tex]

                                                 Δ   Being   Δ

                                             F = Force = 85,5 N

                                            m = Mass = 24,3 kg

                                             a = Aceleration = ?

⇒ Let's replace according the formula and clear "a":

[tex]\boxed{a=85.5 \ N / 24.3\ kg}[/tex]

⇒ Resolving

[tex]\boxed{ a = 3.51 \ m/s^{2}}[/tex]

Result:

The aceleration is 3,41 meters per second squared (m/s²)

Good Luck!!

plzzz help me solve this .
A vertical spring of unstretched length 30cm is clamped at its upper end. when sand is placed in a pan attached to the lower end of the spring its length becomes 45cm .when 20g mass is placed on top of the sand the length increases to 55cm
(1) determine the mass of the sand
(2) if the spring in a above is compressed from its original length to the length of 24cm,calculatethe work done in compressing the spring​

Answers

Answer:

(1) 30 g

(2) [tex]3.5316 \times 10^{-3}[/tex] Joules

Explanation:

The unstretched length of the spring =30 cm

Assuming that the spring is linear.

(1) Let the mass of the sand be m kg. So, the gravitational force acting on the sand in the downward direction is mg N, which acts on the spring.

Due to the sand load, the length of the spring becomes 45 cm, so the extension in the spring, [tex]x_0[/tex] = 45-30=15 cm = 0.15 m.

As the spring is linear, so

[tex]mg=kx_0\cdots(i)[/tex]

where k is spring constant and g is the acceleration due to gravity.

When the 20 g mass is placed on the top of the sand, then the total load on the spring = m+0.02 kg

The gravitational force acting on the spring due to this load [tex]= (m+0.02)g[/tex] N

As the length of the spring becomes 55 cm, so the extension in the spring, [tex]x_1[/tex] = 55-30=25 cm = 0.25 m.

Now, [tex](m+0.02)g=kx_1\cdots(ii)[/tex]

Dividing equation (ii) by (i), we have

[tex]\frac{(m+0.02)g}{mg}=\frac{kx_1}{kx_0} \\\\\frac{(m+0.02)}{m}=\frac{x_1}{x_0} \\\\1+\frac{0.02}{m}=\frac{x_1}{x_0} \\\\\frac{0.02}{m}=\frac{x_1}{x_0}-1 \\\\[/tex]

On putting all the values, we have

[tex]\frac{0.02}{m}=\frac{0.25}{0.15}-1 \\\\\frac{0.02}{m}=\frac{2}{3} \\\\m=\frac{3}{2}\times 0.02 \\\\[/tex]

m=0.03 kg = 30 g

Therefore, the mass of the sand is 30 g.

(2) Putting m=0.03 kg in the equation (i) to get the value of spring constant, k.

(0.03)g=k(0.15)

0.03 x 9.81 = k(0.15) [as g=9.81 m/[tex]s^2[/tex]]

k=(0.03 x 9.81)/0.15

k=1.962 N/m

The spring is compressed from its original length to the length of 24cm, so the magnitude of change in length, x=30-24=6cm=0.06m.

So, the work done in compressing the spring,

[tex]w= \frac 1 2 k x^2[/tex]

[tex]w=\frac 1 2 \times 1.962 \times 0.06^2[/tex]

[tex]w=3.5316 \times 10^{-3}[/tex] Joules.

Therefore the work done in compressing the spring is [tex]3.5316 \times 10^{-3}[/tex] Joules.

What are the units for impulse?
A. kg•m/s
B. kg/s
C. kg•m^2/s
D. kg m/s^2​

Answers

Answer:

A. kg•m/s

Explanation:

The first one playing chinese garter will be chosen by doing

a. save

b. jack en poy

c. stretching

d. mother/father

e.one

f. "it" team

Answers

Answer:

B: jack en poy

Explanation:

Rock paper scissors is a hand game played between 2 people and mostly used as a method of fairly choosing between two people just like the way flipping a coin, drawing straws, or even throwing dice is used to select a choice at times to settle a dispute or make an unbiased decision.

Now the Chinese garter is a popular game among Filipino children that requires flexibility, balance & coordination. This game is played in such a way that it is designed to revolve about an ordinary garter which is usually about two to three yards long and can be brought from sewing store.

Now, to select the first one to play, as stated above, a rock paper scissors game can be used to make an unbiased choice of who to start.

However, among Philipinos, this rock paper scissors game is called "jack en poy"

Thus, option B is correct

Which type of wave is faster?/Seismic Waves

Answers

Answer:

me

Explanation:

The first kind of body wave is the P wave or primary wave. This is the fastest kind of seismic wave, and, consequently, the first to 'arrive' at a seismic station. The P wave can move through solid rock and fluids, like water or the liquid layers of the earth.


The voltage in a battery is 9 volts. The resistance is 3 ohms.
What is the current?
6 amps
3 amps
12 amps
27 amps

Answers

Answer:

3 amps

Explanation:

easily

Using F=mXa
1.
Maria's bicycle has a mass of 18.0 kg. What is the net force needed to attain the
acceleration of 1.62 m/s2?

Answers

Answer:

29.16 N

Explanation:

The force acting on an object given it's mass and acceleration can be found by using the formula

force = mass × acceleration

From the question we have

force = 18 × 1.62

We have the final answer as

29.16 N

Hope this helps you

how much power is used for machine does 28J of work and 7 seconds

Answers

Answer:

3N

Explanation:

what are the benefits and harms of the james clerk maxwell discovery to humanity?

Answers

Answer:

With his work, Maxwell unified electricity, magnetism and light, which are known as «Maxwell's synthesis.» Such a synthesis set a milestone in the history of the unification of forces that were so powerful that many nineteenth-century physicists thought the physical laws were already sufficiently comprehended.

Explanation:

hope this helps and can I get brainliest pls

!!!!!PLEASE ANSWER CORRECTLY!! I DESPERATLY NEED HELP!!!!!

Answers

Answer:

b

Explanation:

Optimistic people:
A. see the glass as half full.
B. attribute their successes to their own abilities.
C. have a higher chance of becoming depressed.
D. attribute their success to outside influences.

Answers

Answer:

A or B im prettu sure

Explanation:

a is a very commom answer so id go with that

Optimistic people see the glass as half full. The correct option is A.

What is optimism?

Optimists look for the bright side of things. They anticipate a positive outcome. They believe they have the skill and ability to bring about positive change.

A person can also be generally optimistic; as part of their personality, they are always looking on the bright side and expecting the best.

An optimist is someone like this. Optimism is a general positive attitude that sees the glass as half full.

Optimism is a positive, hopeful outlook on the future, on yourself, and on the world around you. It is an important component of resilience, the inner strength that helps you get through difficult times. Optimism, by definition, helps you see, feel, and think positively.

Thus, the correct option is A.

For more details regarding optimism, visit:

https://brainly.com/question/9824989

#SPJ2

Maya kicks a soccer ball 40 N towards east. At the exact same time, Casey kicks
the same ball toward west. The resultant force of the soccer ball is about 36 N
east. The force that Casey kicks the soccer ball toward west is

Answers

Answer:

GDXMZC<XZDFSaYTULRSHYADTGVS

Explanation:

KJ.KHG<DCŞJHJdjhgjöfhds DCSLÇKÖJMNHBGEVCYRWX

List the correct sequence taps should be used to form threads the full depth of a blind hole.

Answers

do u have snap ? there’s a group where we help each other with our work

The chart shows data for a moving object.
Time (s)
Velocity (m/s)
AN
8
8
8
Which conclusion is best supported by the information
in the chart?
The object has negative displacement.
The object has negative acceleration
The object does not have displacement
The object is not accelerating.
6

Answers

Answer:

number 2

Explanation:

Of all the planets in our solar system, Jupiter has the greatest gravitational strength. If a 1.5 kg pair of running shoes would weigh 34.65 Newtons on Jupiter, what is the strength of gravity there.

Answers

Answer:

gₓ = 23.1 m/s²

Explanation:

The weight of an object is on the surface of earth is given by the following formula:

[tex]W = mg[/tex]

where,

W = Weight of the object on surface of earth

m = mass of object

g = acceleration due to gravity on the surface of earth = strength of gravity on the surface of earth

Similarly, the weight of the object on Jupiter will be given as:

[tex]W_{x} = mg_{x}[/tex]

where,

Wₓ = Weight of the object on surface of Jupiter = 34.665 N

m = mass of object = 1.5 kg

gₓ = acceleration due to gravity on the surface of Jupiter = strength of gravity on the surface of Jupiter = ?

Therefore,

[tex]34.65 N = (1.5 kg)g_{x}[/tex]

[tex]g_{x} = \frac{34.65 N}{1.5 kg}[/tex]

gₓ = 23.1 m/s²

:o does anyone else have a great dane that is as tall as u when shes on her back legs and shes not fully grown...bc i do and im kinda mad about it

Answers

no I don’t . I do not thanks

Answer:

Sadly yes TnT. Well mines a boy and I think he knows I hate it.

Explanation:

A small car with a mass of 800 kg is moving with a velocity of 30 m/s. What is the momentum of the car?
Required? Substitute and Solve
A. 2.67 kg-m/s
B. 24000 kg-m/s
C. 770 kg-m/s
D. 830 kg-m/s

Answers

Answer:

B. 24000 kg-m/s

Explanation:

Momentum equation: p = mv

p = 800 kg * 30 m/s = 24000 kg-m/s

HELP HELP in order for energy to transform it must be able to do what?

Answers

Answer:

1 thermal to nuclear to mechanical to electrical. 2 thermal to mechanical to nuclear to electrical. 3 nuclear to mechanical to electrical to thermal. 4 nuclear to thermal to mechanical to electrical.

Barycenter is not the center of mass of two or more celestial bodies.

Answers

Answer:

barycenter is the center of mass of two or more bodies that orbit one another and is the point about which the bodies orbit. It is an important concept in fields such as astronomy and astrophysics. The distance from a body's center of mass to the barycenter can be calculated as a two-body problem.

Explanation:

A force of 20 N compresses a spring with a spring constant 50 N/m. How much energy is stored in the spring?

Answers

Answer:

4J

Explanation:

Hooke's Law states:

F = -kx

where F = force

k = spring constant

x = displacement of spring

20 = -(50)x

-20/50 = x = -2/5

We can now use this information to find the energy in the Elastic Potential Energy Formula which is...

1/2(k)(x)^2

1/2(50)(2/5)^2 = 4J

The energy stored will be "4 J".

Given:

Force, F = 20 NSpring constant, k = 50 N/m

By using the Hooke's law states,

→ [tex]F = -kx[/tex]

By substituting the values, we get

→ [tex]20= -(50) x[/tex]

    [tex]x = -\frac{20}{50}[/tex]

       [tex]= -\frac{2}{5}[/tex]

hence,

The energy will be:

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

By putting the values,

= [tex]\frac{1}{2}\times 50\times (\frac{2}{5} )^2[/tex]

= [tex]4 \ J[/tex]

Thus the above answer is right.    

Learn more about force here:

https://brainly.com/question/14670501

Kinetic Energy HELP! Brainly included

Answers

Answer:

A

Explanation:

When you dropping the swing, it increases the kinetic energy. In the middle, that is when it is at it's fullest potential. As it makes its way up, it pushes again the gravitational force, and soon, the swing will stop at the top for a VERY SHORT AND SMALL period of time. That is when it is at it's very weakest point, making the answer, indeed, A.

A ship
a sound
wave
sends
straight
to the sea bed and receves the echo
1.5 seconds later. The speed of sound in
water
How deep is the
at that place?
collin
is 1500 m/s.
Sea
sea​

Answers

Answer:

The sea bed is 1125 m deep.

Explanation:

Speed

It's the rate of change of the distance (d) traveled by an object over time (t).

The speed can be calculated by the formula:

[tex]\displaystyle v=\frac{d}{t}[/tex]

It's known the speed of sound in water is v=1500 m/s. A sound wave is sent to the sea bed and bounces back to the ship 1.5 seconds later.

That is the time the wave takes to travel twice the distance from the ship to the sea bed, thus the required distance uses half of that time or t=1.5/2 = 0.75 seconds.

Solving the equation for d:

d = v.t

d = 1500 m/s * 0.75 s

d = 1125 m

The sea bed is 1125 m deep.

Y’all this assignment determines if i pass , please help me out.. Part 2: Graphing the Effect of Changing Mass and Velocity on Kinetic Energy.

Answers

Answer:

* energy is proportional to masses. in a graph it would look like a line

* kinetic energy varies with the square of the velocity, In a graph it gives rise to a quadratic curve

Explanation:

Kinetic energy is defined by

        K = ½ m v²

when analyzing this expression we can see:

* energy is proportional to masses. Therefore, doubling the mass doubles the kinetic energy and if the mass rises 4 times the energy rises 4 times, that is, they are directly proportional, in a graph it would look like a line

* kinetic energy varies with the square of the velocity. Therefore by doubling the speed the energy goes up 4 times. In a graph it gives rise to a quadratic curve

Potential Energy is energy due to _____________.​

Answers

Answer:due to

Explanation:

To summarize, potential energy is the energy that is stored in an object due to its position relative to some zero position. An object possesses gravitational potential energy if it is positioned at a height above (or below) the zero height.

I WILL MARK BRAINLIEST!
A 15 kg wagon is accelerated by a constant force of 80.0 N from a speed of 5 m/s to 15 m/s. For how long was the force acting?
a) 1.0 second
b) 3.1 second
c) 0.05 second
d) 1.9 second

Answers

Answer:

I would say b) 3.1 second.

Explanation:

Please select the word from the list that best fits the definition
equals the output work divided by the input work
input force
efficiency
mechanical advantage
output force
compound machine

Answers

Answer:input work

Explanation:

Answer:

thankssssssssss\

Explanation:

You fire a paintball from a paintball gun straight up into the air at 25.0 m/s What is the instantaneous velocity at the top of its flight?

Answers

Answer:

The instantaneous velocity at the top of its flight is  v = 0 m/s

Explanation:

From the question we are told that

   The  initial velocity is u = 25.0 m/s

   

Generally an  instantaneous velocity can be defined as the velocity of an object at an instant of  time period during its motion, , generally the velocity of a object at it maximum height is  0 m/s hence the  instantaneous velocity of the paintball at the top of its flight is  0 m/s

Please select the word from the list that best fits the definition
ratio of output force to input force
input force
efficiency
mechanical advantage
output force
compound machine

Answers

Efficiency
Hope it helps

a radioactive tracer has a half-life of 2 hours. how much of a 2500g sample will be avalible after 18 hours

Answers

Answer:

i believe the answer is 2.44140625 grams remaining

Answer:

4.88g

Explanation:

We must first calculate how many half-life there are in 18 hours, knowing that each half life takes 2 hours.

18/2 = 9 Half life

Now, knowing this we can calculate the number of grams by applying 9 times the half life.

2500/2= 4.88 grams

Which means that after 18 hours there are 4.88 grams.

What happens to the gravitational force between two objects if:
a. the mass of one is doubled?
b. The masses of both are doubled?
c. The distance between them is doubled?

Answers

Explanation:

r madhava I have a great time lagega ki deri na koira amar in the the

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