When a 0.38 kg block is suspended on a vertical spring, it causes it to stretch 3.5 cm. If the block is now pulled 7.5 cm below its equilibrium position and released, what is the speed of the block when it is 4.2 cm below the equilibrium position?

Answers

Answer 1

Answer:

  w = 16.73 rad / s,  v = - 1.04 m / s

Explanation:

This is an exercise in oscillatory motion of a system of a spring and a mass, the angular velocity is

         w = [tex]\sqrt{ \frac{k}{m} }[/tex]

To calculate the spring constant we use the data that Δx = 3.5 cm = 0.035 m with a mass of m = 0.38 kg, let's write Hooke's law

          F = -kx

in this case the applied force is the weight of the body

          F = W

we substitute

          mg =  k x

          k = m g / x

         k = 0.38 9.8 / 0.035

         k = 106.4 N / m

let's find the angular velocity

         w = Ra 106.4 / 0.38

         w = 16.73 rad / s

the movement of this system is described by the expression

          ax = A cos (wt + Ф)

the quantity A is called the amplitude of the movement in this case A = 7.5 cm = 0.075 m

         

to encode the constant we use that the system is released from its position of maximum displacement (x = A)

we substitute

          A = A cos (0 + Ф)

         cos Ф = 1

         Ф = cos-1 1

         Ф = 0º

by substituting in the equation of motion

            x = 0.075  cos (16.73 t)

Let's find the time it takes to reach the desired position x = 4.2 cm = 0.042 m

           cos 16.73 t = 0.042 / 0.075 = 0.56

            16.73 t = cos -1 0.56

remember that angles must be expressed in radians

            t = 0.976 / 16.73

            t = 0.0583 s

body velocity is

           v = [tex]\frac{dx}{dt}[/tex]

            v = -0.075 16.73 sin 16.73t

let's calculate for the time found

           v = - 1.25475 sin (16.73  0.0583)

           v = - 1.04 m / s


Related Questions

Why does eating less meat conserve more water than just eating plants?

Answers

Answer:

Studies show that eating fewer animal-based products could reduce water use since animal production uses more water than crops do. In addition, reducing the amount of food that's lost or wasted at various points in the food supply chain could feed about 1 billion extra people while simultaneously reducing water use.

you turn off the faucet when you’re brushing your teeth and you definitely don’t take twenty-minute long showers. While these acts, along with the use of appliances that save water like toilets and showerheads, are fantastic ways to conserve water … if you really want to make a difference with water conservation, then there is a bigger piece of the puzzle to consider.
Every food and beverage product we consume: from soda to pineapples to cheese crackers and pork chops, etc. requires water for its production. Obviously, fruits and veggies need water. That’s a given, but surprisingly, there is another group of foods that is the biggest water guzzler of them all and that is animal products. Meat, dairy, and eggs require more water to “produce” than any other food out there.

HELP PLZZZ

Which optical devices can form images that are larger than the original
object?

Answers

Answer: B- A and C

Explanation:

A P E X

The optical devices uses light. The correct option for the optical devices can form images that are larger than the original object is B i.e A and C.

What is optical device?

The device which uses light for the meaningful purpose is called optical devices.

The device which form the images larger than the object are the converging type of lens or mirror.

The lens which is converging is the convex lens denoted by C in diagram and the converging mirror is the concave mirror denoted by A.
Therefore, the correct option for the optical devices can form images that are larger than the original object is B i.e A and C.

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16. Carol views a specimen under the microscope and notices that it has no nucleus. What
must she be looking at?
A. Animal cell
B. Plant cell
C. Bacteria
D. Protist

Answers

Answer:

C. Bacteria

Explanation:

Bacteria and archaea are the two domains which consist of organisms with prokaryotic cells. Prokaryotic cells are cells without nuclei or membrane-bound organelles.

Yeah the answer is c

Please help me In this question

Answers

Answer:

50 N

Explanation:

We are given;

Force on larger piston; F2 = 5000 N

Ratio of diameter of smaller piston to larger piston = 1:10

Now, formula for force on smaller piston which we will denote with F1 is gotten from;

F1 = F2 × A1/A2

Now, A1 = π(d1)²/2

A2 = π(d2)²/2

Thus:

F1 = F2 × (π(d1)²/2)/(π(d2)²/2)

This gives;

F1 = F2 × (d1/d2)²

Plugging in the relevant values;

F1 = 5000 × (1/10)²

F1 = 50 N

Think of a technology or appliance that you use regularly. Identify the transfers and transformations of energy necessary to operate the technology. Explain your answer
PLZZ

Answers

Answer:

Energy conversion

Explanation:

We regularly use automobile which runs on the chemical energy of the fuels such as diesel and petrol, the chemical energy from the fuel would convert into the thermal energy which is used to drive the engine of the vehicle,further the thermal energy converted into the mechanical energy which is used to drive the prime mover of the automobile.

What is thermal energy?

It can be defined as the form of the energy in which heat is transferred from one body to another body due to their molecular movements, thermal energy is also known as heat energy.

We frequently utilize vehicles that operate on chemical energy from fuels like diesel and gasoline.

This chemical energy is transformed into thermal energy, which drives the engine of the vehicle, and then mechanical energy, which drives the prime mover of the vehicle.

Thus, we can say that the transfers and transformations of energy are necessary to operate the technology.

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Point charges q1 and q2 are separated by a distance of 60 cm along a horizontal axis.
The magnitude of q1 is 3 times the magnitude of q2. At which point a on the axis is the
electric field zero?
NEED ANSWERS NOW

Answers

Answer:

38 cm from q1(right)

Explanation:

Given, q1 = 3q2 , r = 60cm = 0.6 m

Let that point be situated at a distance of 'x' m from q1.

Electric field must be same from both sides to be in equilibrium(where EF is 0).

=> k q1/x² = k q2/(0.6 - x)²

=> q1(0.6 - x)² = q2(x)²

=> 3q2(0.6 - x)² = q2(x)²

=> 3(0.6 - x)² = x²

=> √3(0.6 - x) = ± x

=> 0.6√3 = x(1 + √3)

=> 1.03/2.73 = x

≈ 0.38 m = 38 cm = x

Carlos uses a rope to pull his car 30 m to a parking lot because it ran out of gas. If Carlos exerts 2,000 N of force to pull the rope, and the rope is at an angle of 15° to the road, how much work did he do? Round your answer to two significant figures.
1.6 × 104 J
3.5 × 104 J
5.8 × 104 J
9.0 × 104 J

Answers

Answer:

Explanation:

Remark

The only thing that might trip you up is what to do with the angle. The vertical component of the 15 degrees does no work against anything. So the 15 degrees limits the horizontal force.

The formula is

Work = F * d * cos(15)

The givens are

F = 2000 N

d = 30 m

Cos(15) = 0.9659

Solution

Work = 2000 * 30 * cos(15)

Work = 57,955

Rounded to two places would be 5.8 * 10^4

C

PLEASE PLEASE HELP AND PUT A REAL ANSWER ;-;. ALSO WILL GIVE BRAINLEST!!

High pressure systems are found in the:

troposphere
stratosphere
mesosphere
thermosphere

Answers

Answer:

Troposphere

High-pressure areas form due to downward motion through the troposphere, the atmospheric layer where weather occurs.

Troposphere is the right answer

A car of mass 800 kg goes round a corner of radius 65 m at a
speed of 10 m/s
b) Suggest how this force is likely to be obtained.​

Answers

Answer:

Centrifugal force = 1230.77 Newton.

Explanation:

The force associated with the car is generally referred to as centrifugal force and it can be calculated using the formula;

Centrifugal force = mv²/r

Given the following data;

Mass = 800kg

Radius = 65m

Velocity = 10m/s

To find the force;

Centrifugal force = (800*10²)/65

Centrifugal force = (800*100)/65

Centrifugal force = 80000/65

Centrifugal force = 1230.77 Newton.

The observation that energy transformations are rarely 100% efficient is seen by scientists as a violation of the Law of Conservation of Energy.

true or false ???

Answers

Answer:

l

Explanation:

Answer:

true I believe

Explanation:

A long board is free to slide on a sheet of frictionless ice. As shown in the top view in the diagram, a skater skates to the board and hops onto one end, causing the board to slide and rotate. In this situation, which of the following occurs? Select two answers.

Answers

Answer:

A) rational kinetic energy is conserved

For the scenario painted below Rational kinetic energy is conserved

Option A is correct

What is Rational kinetic energy?

Kinetic energy is simply defined as the energy that an item or particle has as a result of its movement.

In conclusion, For A longboard is free to slide on a sheet of frictionless ice. and a skater skates to the board and hops onto one end, causing the board to slide and rotate. In this situation Rational kinetic energy is conserved

Read more about Kinetic energy

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How does convection play a role in ocean currents?

Answers

convection produces winds and ocean currents. I hope this helped

a dogs tail hit a 1.3kg flower vase, knocking it over. the net force on the flower vase over time is shown below

what is the bases speed at t=20 ms?
round answer to two significant figures

note that time is in ms.

Answers

Answer: 0.15 m/s

Explanation:

what are three assumptions of the kinetic molecular theory​

Answers

Kinetic molecular theory is based on the following postulates, or assumptions:
1. Gases are composed of a large number of particles that behave like hard, spherical objects in a state of constant, random motion.
2. These particles move in a straight line until they collide with another particle or the walls of the container.
3. These particles are much smaller than the distance between particles. Most of the volume of a gas is therefore empty space.

A 5.00 kg block of metal with
c = 650 J/(kg*C) at 80.0 °C comes
in contact with a 1.25 kg glass
block at 20.0 °C. They come to
equilibrium at 63.9 °C. What is the
specific heat of the glass?

Answers

Answer:

953.5 J/kg.°C

Explanation:

From the question,

Heat lost by the metal = heat gained by the glass.

cm(t₁-t₃) = c'm'(t₃-t₂)................. Equation 1

Where c = specific heat capacity of the metal, m = mass of the metal, c' = specific heat capacity of the glass, m' = mass of the glass, t₁ = initial temperature of  metal, t₂ = initial temperature of glass, t₃ = Equilibrium temperature

Make c' the subject of the equation

c' = cm(t₁-t₃)/m'(t₃-t₂)................ Equation 2

Given: m = 5 kg, c = 650 J/kg.°C, m' = 1.25 kg, t₁ = 80 °C, t₂ = 20 °C, t₃ = 63.9 °C

Substitute these values into equation 2

c' = 5×650(80-63.9)/1.25(63.9-20)

c' = (5×650×16.1)/(1.25×43.9)

c' = 52325/54.875

c' = 953.5 J/kg.°C

Answer:

960 J/(kg*C)

Explanation:

i got this right in acellus  trust me :D

A projectile is fored vertically upward with an initial velocity of 190 m/s. Find the maximum height of the projectile.​

Answers

Answer:

3683.67 m

Explanation:

Formula for maximum height of projectile is given by the equation;

h = u²/2g

Where u is initial velocity and g is acceleration due to gravity

We are given u = 190 m/s

Thus;

h = 190²/9.8

h = 36100/9.8

h = 3683.67 m

You come out of a shopping mall one night and look at your car. Your car is painted blue, and the light illuminating the car is yellow. What color does your car appear to you in the yellow light?

Answers

I would say green because yellow and blue make green ??

1) A plane whose airspeed is 220 km/h heads due
north. It suddenly encounters a 150 km/h cross wind
blowing due east. What is the resulting velocity of
the plane with respect to the ground?

Answers

Answer:

=(220^2 +150^2)

/

put this on a square root

for you to get 266.2705391

round it to a whole number =266km/h

Explanation:

p

Match the symbol of each element to its name :)

Answers

Answer:

H-Hydrogen

B-Boron

O-Oxygen

Au-Gold

Co-Cobolt

He-Helium

Na-Sodium

S-Sulfur

K-Potassium

Ag-Silver

Explanation:

Normally, chemical symbols are either the first letter or the first two letters of the element.

However, there are some exceptions where they use the Latin names e.g:

Aurum-Au-Gold

Natrium-Na-Sodium

Kalium-K-Potassium

Argentum-Ag-Silver

Hope this helps :)

30 PTS NEED THIS FAST

Answers

The middle one would heat up the fastest as glass traps heat, black absorbs heat well and silver is a good conductor of heat however you would want to re-phrase that

Answer:

the one made from aluminum

Explanation:

When a wool cloth is rubbed on the surface of a balloon, it tends to give away electrons causing the surface of the balloon to become :

positively charged
negativity charged
neutrally charged

Answers

Answer:

It is negativity charged

Answer:

positively charged

Explanation:

a wool has neutral charges hence when rubbed against a balloon it will generate positive charges

Is monosodium an element or compound?give a reason

Answers

Answer; Sodium 2-Aminopentanedioate The chemical formula of MSG is C5H8NO4Na and its IUPAC name is sodium 2-aminopentanedioate. Since it is known to intensify meaty flavours in food, monosodium glutamate is widely used as a flavour enhancer in the food industry. This compound was first produced by the Japanese chemist Kikunae Ikeda in the year 1908.

Explanation:

MONOSODIUM is a COMPOUND

What is the impulse (change in momentum) from a 2N force acting on an object for 2 seconds?

Answers

Answer:

Impulse = 4Ns

Explanation:

Given the following data;

Force = 2N

Time = 2 seconds

To find the impulse experienced by the object;

Impulse = force * time

Impulse = 2*2

Impulse = 4Ns

Therefore, the impulse experienced by the object is 4 Newton-seconds.

Explain how a current is induced in the wire?

Answers

Answer:

If a coil of wire is placed in a changing magnetic field, a current will be induced in the wire. This current flows because something is producing an electric field that forces the charges around the wire. (It cannot be the magnetic force since the charges are not initially moving). ... that determines the induced current.

The man rolls the cupboard at a steady speed from the lorry to the house. The friction force in the wheels is 40 N. State the force with which the man has to push.

Answers

Answer:

40N

Explanation:

Using the newton's second law of motion

\sum Fx = max

Fm - Ff = max

Fm is the applied force

Ff is the frictional force

m is the mas of the cupboard

ax is the acceleration

Since the speed from the lorry is steady, ax = 0m/s^2

Also Ff = 40N

Substitute into  the formula;

Fm - 40 = m(0)

Fm - 40 = 0

Add 40 to both sides

Fm - 40 + 40 = 0 + 40

Fm = 40N

Hence the force with which the man applied to push is 40N

Charges of +5C and −9C are at a distance of 1m from each other. Which diagram represents the force between the two charges?

Answers

Answer: Well the charges in 9c are positive so  5c is th force between the two making the ansewr

Explanation:

Answer:

C    (3RD OPTION)

Explanation:

E2020

What exactly occurs at the alveoli? Explain using blood vessels, diffusion, oxygen, and carbon dioxide in your answer (2-3 sentences)

Answers

Answer:

Gas exchange takes place in the millions of alveoli in the lungs and the capillaries that envelop them. Inhaled oxygen moves from the alveoli to the blood in the capillaries, and carbon dioxide moves from the blood in the capillaries to the air in the alveoli.

Explanation:

Hope this helps      :)

A medication given to treat ventricular
tachycardia and ventricular fibrillation

Answers

Answer:

Amiodarone

Explanation:

Which image shows an example of the strong nuclear force in action?

Answers

i think this is the incomplete page that you are showing but the answer is

:-

B

A student wants to design an investigation to determine if an object contains potential energy. What are some questions the student could ask to determine if the object contains potential energy?

Does the object have kinetic energy?

Does the object move when it is released from a rest position?

Does work have to be done to hold the object in place?

Does a force act on the object?

Answers

Answer:

does work have to be done to hold the object in place

Answer:

Does the object move when it is released from a rest position? and Does a force act on the object?

Explanation:

i had the same quiz today and the other 2 are wrong

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