A block, whose mass is 0.500 kg, is attached to a spring with a force constant of 126 N/m. The block rests upon a frictionless, horizontal surface. A block labeled m is attached to the right end of a horizontal spring, and the left end of the spring is attached to a wall. The spring is stretched horizontally such that the block is displaced by a distance A to the right of its equilibrium position. The block is pulled to the right a distance A = 0.120 m from its equilibrium position (the vertical dashed line) and held motionless. The block is then released from rest. (a) At the instant of release, what is the magnitude of the spring force (in N) acting upon the block? N (b) At that very instant, what is the magnitude of the block's acceleration (in m/s2)? m/s2 (c) In what direction does the acceleration vector point at the instant of release?

Answers

Answer 1

Answer:

(a) F = 15.12 N

(b) a = 30.24 m/s²

(c) To Left

Explanation:

(a)

The magnitude of the spring force is given by Hooke's Law as follows:

F = kx

where,

F = Spring Force = ?

k = Spring Constant = 126 N/m

x = Displacement = A = 0.12 m

Therefore,

F = (126 N/m)(0.12 m)

F = 15.12 N

(b)

The magnitude of acceleration can be found by comparing the spring force with the unbalanced force formula of Newton's Second Law:

F = ma

where,

F = Spring Force = 15.12 N

m = mass of block = 0.5 kg

a = magnitude of acceleration = ?

15.12 N = 0.5 kg (a)

a = 15.12 N/0.5 kg

a = 30.24 m/s²

(c)

Since, the acceleration is always directed towards mean (equilibrium) position in periodic motion. Therefore, the direction of the acceleration at the time of release will be to left.


Related Questions

A pushing force acts on a toy car for 3 seconds causing it to accelerate at a rate A’. If the car is replaced with a similar, but larger toy of 2 times greater mass and the same pushing force is applied for the same amount of time, the acceleration of the larger toy car will be

Answers

Answer:

one-half of A'

Explanation:

Answer:

C

Explanation:

EDGE 2021

Which kind of wave interaction is shown?

Answers

Answer:

where?

Explanation:

ill edit my answer when see it

Can someone help plzzzzzzz I need it ASAP thank you

Answers

Answer:

Explanation:

Frequency is oscillations per second.

So we have to find the Number of seconds she paced.

2 minutes = 2 X 60

               = 120 seconds

Therefore,

Her frequency = 10 / 120

                       = 1/12 Hertz

When do we land on Mars ?

Answers

Answer:

I think like 2024 or 25

Explanation:

Elon musk will probably go

Answer:

2025

Explanation:

The first crew of four astronauts were to land on Mars in 2025. Then, every two years, a new crew of four would arrive.

Find the density of a liquid, in lb/ft^3, that exerts a pressure of 0.400 lb/in^2 at a depth of 42.0 in.

Answers

Given :

Pressure, P = 0.4 lb/in².

Depth, h = 42 in.

To Find :

The density of a liquid.

Solution :

Pressure at height h of a liquid of density [tex]\rho[/tex] is given by :

[tex]P = \rho g h[/tex]   ....1)

Here, g = 386.04 in/s²( acceleration due to gravity )

Putting all values in equation 1, we get :

[tex]P = \rho g h\\\\0.4 = \rho\times 386.04 \times 42\\\\\rho=\dfrac{0.4}{42\times 386.04}\ lb/in^3\\\\\rho=\dfrac{0.4}{42\times 386.04}\times 12^3\ lb/ft^3\\\\\rho=0.0426\ lb/ft^3[/tex]

Hence, this is the required solution.

A spring gun fires a ball horizontally at 15 m/s. It is mounted on a flat car moving in a straight line at 25 m/s. relative to the ground, what is the horizontal speed of the ball when the gun is aimed forward?

Answers

Answer:

15 m/s

Explanation:

The Speed Of The Car Does Not Add To The Speed Of The Bullet

A 0.6-m-diameter spherical object is completely submerged in water. The buoyant force acting on this object is:________

a. 10271 N
b. 548 N
c. 1109 N
d. 5344 N

Answers

B because I need to answer a question to ask another

Newton's Third Law predicts that during a collision between two carts, when the sum of the forces acting on the system are zero:

Answers

Answer:

The two carts will experience an impulse of the same magnitude, but of opposite directions.

Explanation:

Newton's third law proves that though action and reaction are the same, but they are opposite to each other.

i.e [tex]F_{1}[/tex] = -[tex]F_{2}[/tex]

where: [tex]F_{1}[/tex] and [tex]F_{2}[/tex] have equal value.

Impulse = F x t

where F is the force on the object and t is the time of impact.

In the given question, since the collision takes place in a given time.

Then;

[tex]F_{1}[/tex] x [tex]t_{1}[/tex]= -[tex]F_{2}[/tex] x [tex]t_{2}[/tex]

⇒ [tex]F_{1}[/tex] [tex]t_{1}[/tex]= -[tex]F_{2}[/tex] [tex]t_{2}[/tex]

Thus, since the sum of the forces acting on the system are zero, then the two carts experience an impulse of the same magnitude but opposite in directions.

A force of 6.00 N acts in the positive direction on a 3.00 kg object, originally traveling at +15.0 m/s, for 10.0 s. (a) What is the object’s change in momentum?

Answers

Answer:

60 kg m/s

Explanation:

F= Force = 6 N

m = Mass of object = 3 kg

u = Initial velocity = 15 m/s

t = Time = 10 s

v = Final velocity

[tex]\Delta p[/tex] = Change in momentum

Force is given by

[tex]F=\dfrac{\Delta p}{t}\\\Rightarrow Ft=\Delta p\\\Rightarrow \Delta p=6\times 10\\\Rightarrow \Delta p=60\ \text{Ns}[/tex]

The change in  momentum of the object is 60 kg m/s.

A group of students collected the data shown below while attempting to measure the coefficient of static friction (of course, it looks like this group varied the amount of mass sitting on the block with each trial - this is not recommended). Nonetheless, what is their average coefficient of static friction?

Trial Mass of block (g) Hanging mass (kg)
1 105 0.053
2 165 0.081
3 220 0.118
4 280 0.149
5 315 0.180
6 385 0.198

Answers

Answer:

0.130

Explanation:

From the given data, the coefficient of static friction for each trial are:

1. 0.053

2. 0.081

3. 0.118

4. 0.149

5. 0.180

6. 0.198

The sum of the coefficient of static friction = 0.053 + 0.081 + 0.118 + 0.149 + 0.180 + 0.198

                                              = 0.779

So that;

the average coefficient of static friction = [tex]\frac{sum of coefficient of static friction}{number of trials}[/tex]

                                              = [tex]\frac{0.779}{6}[/tex]

                                              = 0.12983

The average coefficient of static friction is 0.130

The average coefficient of static friction is 0.13.

The coefficient of static friction is obtained using the formula; μ = F/R

Where;

F = force acting on the body

R = reaction

μ = coefficient of static friction

The average of measurements is given as; ∑summation of measurements/number of measurements

We can see from the question that there were 6 measurements of the coefficient of static friction. Hence, the average coefficient of static friction is obtained from;

0.053 + 0.081 + 0.118 + 0.149 + 0.180 +  0.198/6

= 0.13

The average  coefficient of static friction is 0.13

Learn more: https://brainly.com/question/8155254


MULTIPLE CHOICE
Newton’s first law of motion is also known as the law of ______ while the Newton’s 2nd law of motion is known as the law of _____ and Newton’s third law is also known as the law of ______

Answers

Answer:

1st law known as low of inertial

2nd law of acelaration and force relationship

3rd law of action and reaction

A 0.420 kg block of wood rests on a horizontal frictionless surface and is attached to a spring (also horizontal) with a 20.5 N/m force constant that is at its equilibrium length. A 0.0600 kg wad of Play-Doh is thrown horizontally at the block with a speed of 2.80 m/s and sticks to it. Determine the amount by which the Play-Doh-block system compresses the spring.

Answers

Answer:

leon

Explanation:

leom ofjfjbfbfdnns

Can we use the traditional methods of measurement? Are they reliable? If not why?​

Answers

Answer:

Traditional methods of measurement involve methods like measurement using the arm, foot or hand span of a particular person which can and does varies form person to person and hence can't be reliable while the standard methods have a fixed standard value which is universal and same for everybody and every place and ..

in the demolition of an old building,a 1,300 kg wrenching ball hits the building at 1.07m/s^2.Calculate the amount of force at which the wrecking ball strikes the building

Answers

Answer:

1391 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 = 1300 × 1.07

We have the final answer as

1391 N

Hope this helps you

a length 650 cm of thin thread wraps around a cylinder exactly 30 times calculate the circumference and the radius of the cylinder (take)​

Answers

Answer:

circumference= 65/3  cm = 21.67 cm

radius R = 3.45 cm

Explanation:

To calculate the length of the circumference of the cylinder, we divide 650 cm by 30 (the number of times it wrapped exactly around it)

length of circumference= 65/3  cm = 21.67 cm

now use the formula of the circumference length to find the radius (R):

circumference length = 2 * pi * R

65/3 = 2 * pi * R

R = 65 / (6 pi)

R = 3.45 cm

answer pls urgent pls​

Answers

Answer:

Answer

Prokaryotic cells

Prokaryotic Cells

Answer:

[tex]\huge\boxed{\sf Prokaryotic \ Cells}[/tex]

Explanation:

Pro means "before" and karyon means "nucleus". So, Prokaryotic cells are those cells which lack nuclear membrane.

Eukaryotic cells are cells which have nuclear membrane.

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AnonymousHelper1807

A video game where characters fight on different platforms needs to constantly update the speed and position of the characters. Which measure would be an initial condition in one of these games?

the size of the character in pixels

the downward acceleration due to gravity

the designation of y=0 as the lowest platform

the speed of a character at the moment of contact

Answers

Answer:

d: the speed of a character at the moment of contact

Explanation:

did the quick check

The measure which would be an initial condition in one of these games is

speed of a character at the moment of contact.

The speed of the character at the point of contact is the most suitable

option which tells the exact speed and position of the character in the

video game.

The moment of contact will determine the type of movement and position

exhibited by the players which can then be immediately updated when the

game is being played.

Read more on https://brainly.com/question/19128512

A student made the electromagnet shown and used it to pick up one sewing pin. She
then doubled the number of coils around the nail and used it to pick up two sewing pins.
How could she change the electromagnet again in order to pick up three sewing pins?
A. She could replace the 6V battery with a 3V battery.
B. She could replace the nail in the wire coil with a large steel bolt.
C. She could replace the 6V battery with a 12 V battery.
D. She could replace the nail in the wire coil with a thick roll of paper.

Correct answer is C!

Answers

Answer: i think its c but i am not sure tho but i think its she could replace the 6 v battery with a 12 v battery

Explanation: cause a 12 v is stronger than a 6 v battery

A student made the electromagnet shown and used it to pick up one sewing pin. She then doubled the number of coils around the nail and used it to pick up two sewing pins. She could replace the 6V battery with a 12 V battery.

What is electromagnet?

Permanent magnets are not the same as electromagnets. Coils of wire with electricity running through them make up electromagnets. An electromagnet's wire coils act like magnets when an electric current flows through them because moving charges produce magnetic fields.

The coils stop functioning as a magnet when the electricity is turned off. A lot of things use electromagnets.

When magnetic forces are only required for brief periods of time, electromagnets are frequently used in electrical equipment.

Therefore, A student made the electromagnet shown and used it to pick up one sewing pin. She then doubled the number of coils around the nail and used it to pick up two sewing pins. She could replace the 6V battery with a 12 V battery.

To learn more about electromagnet, refer to the link:

https://brainly.com/question/3427992

#SPJ5

a material in which electrons are not able to move easily
a. conductor
b. insulator
c. circuit

Answers

Answer is an insulator , answer b

A material in which electrons are not able to move easily is known as an insulator, on the other hand, the material in which electrons are able to move easily is known as the conductor, therefore the correct answer is option B.

What are metalloids?

The elements of the periodic tables that behave as metals, as well as the nonmetal in some chemical or physical aspects, are known as metalloids. Some examples of metalloids are Boron, silicon, germanium, arsenic, antimony, tellurium, etc.

As given in the problem we have to find out the term for material for which electrons are not able to move easily,

The term "insulator" refers to a substance in which electrons cannot move around freely, whereas the term "conductor" refers to a substance in which electrons may flow around freely. Therefore, option B is the right response.

Learn more about metalloids from here the link given below ;

brainly.com/question/2548493

#SPJ6

If you drop a rock off a cliff and it hits the ground 3 seconds later how tall is that cliff

Answers

Answer:

Basic kinematics, negating drag and assuming ideal conditions, we use the equation:

d=vi*t+1/2*a*t^2

Since vi is 0 (we know this because you’re dropping it, not throwing it)…

…and the only acceleration acting on it is gravity, a=9.8 m/s^2…

…we get

d=1/2(9.8)(5)^2

Explanation:

Some quick mental math tells us that this is about 125 m.

Plugging it in, we find it to be 122.5 m.

When a spring is compressed, the energy changes from kinetic to potential. Which best describes what is causing this change?

•work
•power
•gravitational energy
•chemical energy​

Answers

Answer:

work

Explanation:

Answer:

A

Explanation:

A car starts from rest and uniformly acceleration to find speed of 20.0m/s in a time of 15.0 s . How far does the car travel during this time ?

Answers

Answer:

The answer is:    

150 m

Explanation:

find acceleration first.

Vf = at + Vi

20 = a(15) + 0

a = 1.33m/s^2

x = 1/2at^2

x = 1/2 (1.33) (15)^2

x = 149.625m or round it to 150m

hope this helps

Answer:

1.33

Explanation:

We know

speed =distance travelled

time taken

so here distance travelled is 20.0 m/s

and time taken is 15.0s

now simplify

s=20.0/15.0

=4/3

=1.33

hope you understood it!

What must happen to an atom of magnesium in order to become a magnesium ion Mg+2?

It must lose two neutrons and become a different isotope.
It must gain two neutrons and become a different isotope.
It must lose two electrons and become an ion.
It must gain two electrons and become an ion.

Answers

Answer:

Answer is: c. It must lose two electrons and become an ion.

Magnesium (Mg) is metal from 2. group of Periodic table of elements and has low ionisation energy and electronegativity, which means it easily lose valence electons (two valence electrons).

Magnesium has atomic number 12, which means it has 12 protons and 12 electrons. It lost two electrons to form magnesium cation (Mg²⁺) with stable electron configuration like closest noble gas neon (Ne) with 10 electrons.

Electron configuration of magnesium ion: ₁₂Mg²⁺ 1s² 2s² 2p⁶.

Explanation:

Answer:

the third option

Explanation:

You perform an experiment to test how far a cannon will shoot a performer at
different angles. The data are shown below.
Angle
Distance (feet)
30°
110
34°
120
38°
128
42°
133
46°
127
50°
119
54°
109
At which angle will the performer travel the shortest distance?
A. 44°
B. 54
Ο Ο Ο Ο
C. 32
D. 50°

Answers

Answer:

128

Explanation:

Answer:

54 degrees

Explanation:

"She finished the sprint with the speed of a cheetah." This statement represents which of the
following functions of language? (2 points)



correct answer is poetic.

Answers

Answer:

Poetic

Explanation:

I took the test

Answer:

Poetic

Explanation:

I got it right on the test

If a person is driving a speed of 162 km and drive for 35 seconds. How far will they drive?

Answers

the correct answer is 162 km

A spatially challenged goldfish swims along the x-axis only. Its initial position is 7.8 m. After swimming back and forth a while, it finds itself at the position 4.4 m. Calculate the fish’s displacement (including its sign).

Answers

Answer:

The fish displacement was -3.4 m

Explanation:

Distance and Displacement

A moving object constantly travels some distance at defined periods of time. The total moved distance is the sum of each individual distance the object traveled. It can be written as:

dtotal=d1+d2+d3+...+dn

This sum is obtained independently of the direction the object moves.

The displacement only takes into consideration the initial and final points of the path defined by the object in its moving. The displacement, unlike distance, is a vectorial magnitude and can be even zero if the object starts and ends the movement at the same point.

The displacement, when the object moves in one axis only is given by:

d = final position - initial position

We know the fist started at 7.8 m from a given reference along the x-axis.

After some undisclosed movements, it ends up at the position 4.4 m. Thus, the displacement is:

d = 4.4 m - 7.8 m = -3.4 m

This means the fish ended up to the left of the position it started from.

The fish displacement was -3.4 m

Mice produce a large number of offspring all year long, yet the number of mice within a given population changes very little from year to year. The stability of the population size is most likely the result of

Group of answer choices

mice continuing to reproduce when its population is to large.

liming factors that keep the mice population stable

the survival of more female mice than male mice.

the development of mutations in young mice.

Answers

The answer is are the offspring

g Which technology is used to convert the electric current to digital form to store and play the synthesized music on a computer or mobile device

Answers

Answer:

"MIDI technology" is the correct answer.

Explanation:

For transmitting digital instrument information, MIDI seems to be a communication standard. Computer synthesizers, as well as electronic keyboards mainly are using. So many other types of equipment, including certain electric percussion, beatboxes, and sometimes even automated stringed instruments including certain guitars as well as violins, do embrace MIDI, nevertheless.

So the above is the appropriate response.

Two balls collide in a head-on elastic collision and rebound in opposite directions. One ball has velocity 1.2 m/s before the collision, and −2.3 m/s after. The other ball has a mass of 1.1 kg and a velocity of −4.2 m/s before the collision. (a) What is the mass of the first ball? (b) What is the velocity of the second ball after the collision?

Answers

Answer:

If two particles are involved in an elastic collision, the velocity of the second particle after collision can be expressed as: v2f=2⋅m1(m2+m1)v1i+(m2−m1)(m2+m1)v2i v 2 f = 2 ⋅ m 1 ( m 2 + m 1 ) v 1 i + ( m 2 − m 1 ) ( m 2 + m 1 ) v 2 i .

Explanation:

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