a vertical spring stretches 3.8 cm when a 16-g object is hung from it. the object is replaced with a block of mass 28 g that oscillates up and down in simple harmonic motion. calculate the period of motion.
Answers
3.8 cm are stretched when a 16-g object is hung from a vertical spring. In its place, a block with a mass of 28 g moves up and down in a simple harmonic motion. Motion will last for 0.5 seconds.
Simple harmonic motion (SHM) – what is it?Simple harmonic motion, or SHM, is an oscillatory motion in which the acceleration of the particle at any position is directly proportional to the displacement from the mean position. This particular oscillatory motion is a special case.
What is simple harmonic motion in linear terms?Simple harmonic motion is referred to when a particle oscillates in a straight line and around a set point (known as the equilibrium position).
Briefing:extension of the spring, x = 3.8 cm = 0.038 m
mass of the object, m = 13 g = 0.013 kg
force constant of the spring, k;
F = kx
k = F / x
k = mg / x
k = (0.013 x 9.8) / 0.038
k = 3.353 N/m
Object replaced with a block of mass 28g, then period of motion-
T= 2π √m/k = 2π√0.028/3.353 = 0.5 s
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Related Questions
based on what you know about energy, what types of energy does the water balloon have? how would energy explain the water balloon’s behavior?
Answers
Energy is an important concept that affects us in many ways. It is the ability to do work, and it can come in many forms. When it comes to a water balloon, it has several types of energy that explain its behaviour.
Types of Energy: The water balloon has potential energy, which is stored energy due to its position or shape. This potential energy is converted to kinetic energy when the balloon is thrown. Kinetic energy is the energy of motion, so as the balloon moves, it has kinetic energy.
The balloon also has thermal energy, which is energy that comes from the temperature of the water in the balloon. As the water inside the balloon heats up, the thermal energy increases and the balloon becomes more elastic.
Behaviour: The water balloon's behaviour can be explained by the energy it contains. The potential energy it has will cause it to move when it is released, resulting in its kinetic energy. The thermal energy can cause the balloon to expand and become more elastic, making it more likely to burst when hit by an object. The combination of these energies explains why the balloon behaves the way it does.
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How is the answer D?
Answers
The graph that corresponds to 0.1 s in one complete cycle is graph D.
option D is the correct answer.
What is the period of a wave?The period of a wave is the time for a particle on a medium to make one complete vibrational cycle. Period, being a time, is measured in units of time such as seconds, hours, days or years.
Also, the period of a wave is the amount of time it takes for a wave to complete one wave cycle or wavelength.
From the given parameter, the coil rotates 10 times in one second. The period of the coil is calculated as;
Period = 1 s / 10
Period = 0.1 s
From the graphs, the only option that has one complete cycle in one second is option D.
Check option D, half cycle is 0.05 s and one full cycle is 0.1 s.
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BRAINLIEST TO GOOD ANSWER: In this case, what would the net force be if the static friction force is greater than the applied force?
There's no movement of the block but mathematically, technically the net force is in the direction of the friction force. Would I just write net force as 0 and cancel the static friction beyond the magnitude of the applied force?
Answers
The frictional force if greater than the applied force, then the movement of the block gets resisted against the applied force and the block does not undergo any displacement.
What is force?Force is an external agent actin on an object to change its motion or to deform it. There are various kinds of forces such as frictional force, gravitational force, magnetic force etc.
If two or more same or different forces acting on an object from the same side they will add up in magnitude. If two forces with same magnitude are acting from opposite direction of the object, then they will cancel each other and the net force will become zero. This situation is called the balanced force.
If two unequal force acts from opposite direction, the net force is the substracted value of their magnitudes and the situation is called unbalanced force.
Here, the frictional force if greater than the applied force, then the movement of the block gets resisted against the applied force and the block does not undergo any displacement.
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what is time write its SI unit
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Let's begin by determining the equilibrium position of a seesaw pivot. You and a friend play on a seesaw. Your mass is 90 kg and your friend's mass is 60 kg. The seesaw board is 3.0 m long and has negligible mass. Where should the pivot be placed so that the seesaw will balance when you sit on the left end and your friend sits on the right end? Part A let's look at the same scenario we just worked through, but instead the board now has a non-zero mass of 29 kgkg . where should the pivot be placed for balance?
Answers
The pivot should be placed 1.31 m from the left end of the board to balance the seesaw when you sit on the left end and your friend sits on the right end, taking into account the mass of the board.
T1 = 90 kg * g * (x - 1.5 m)
T2 = 60 kg * g * (1.5 m - x).
T3 = Mg * (L/2 - x)
In the equilibrium position, we set the sum of the torques equal to zero:
T1 + T2 + T3 = 0
90 kg * g * (x - 1.5 m) + 60 kg * g * (1.5 m - x) + Mg * (L/2 - x) = 0
Simplifying and solving for x, we get:
x = (45 kg * L + 1.5 m * (90 kg - 60 kg)) / (M + 150 kg)
Substituting the values given in the problem, with M = 29 kg, we get:
x = (45 kg * 3.0 m + 1.5 m * 30 kg) / (29 kg + 150 kg)
x = 1.31 m
Torque is a measure of the force that causes an object to rotate around an axis or pivot point. It is often described as the rotational equivalent of force. The amount of torque an object experiences is dependent on both the magnitude and direction of the applied force, as well as the distance between the axis of rotation and the point where the force is applied.
The formula for torque is τ = r × F, where τ is the torque, r is the distance between the axis of rotation and the point of force application, and F is the magnitude of the applied force. Torque is typically measured in units of Newton meters (Nm) or pound-feet (lb-ft). Torque is an important concept in many areas of physics, including mechanics, engineering, and robotics. It plays a critical role in the operation of machines and engines, as well as in the movement and control of vehicles and aircraft.
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a metal block measures 10cm×2cm×2cm. What is its volume? How many blocks each 2cm×2cm×2cm have the same total volume?
Answers
40cm³ is volume of a metal block measures 10cm×2cm×2cm and 5 blocks have the same total volume.
volume=l×b×h
volume=10cm×2cm×2cm= 40cm³
volume=l×b×h
volume= 2cm×2cm×2cm=8cm³
blocks have the same total volume= 40cm³/8cm³= 5
The space occupied inside an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity. Finding an object's volume can help us calculate the quantity needed to fill it, such as the volume of water needed to fill a bottle, aquarium, or water tank.
A sphere is the most basic and typical form of a three-dimensional shape. We see spheres on a regular basis in the form of balls, globes, ornamental lights, oranges, etc.
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Which of the following is NOT a unit of measurement in the metric system?
1.meter
2.second
3.centimeter
4.foot
Answers
Answer:
Your answer should be d: Foot
Explanation:
The unit "foot" is part of the english system which includes inches, feet, yards, etc.
Which of the following is the best example to explain that the force on an object may change its shape?
Riding a bike
Driving a car
Making model using clay
All of the above
Answers
Answer:
C
Explanation:
Making a model using clay is the only example which is correct. The force applied to the clay from your hands reshapes the clay
2. A student drew the diagram below to model the movement of an object orbiting the Sun. Which object was she most likely modeling? a meteor a planet a comet an astroid
Answers
Answer:
A comet
Explanation:
The picture is of an elliptical orbit of a comet. You can tell it is a comet because of the tail. Also, I just took the test and it was a comet.
18. what do tire treads do? a. they push water, snow and ice out of the way b. they float on top of the water on the road c. they cut through icy roads d. all of the above
Answers
Tire treads push water, snow and ice out of the way. This is the main function of tire treads (option a).
What are tire treads?Tire treads are the patterns that help keep the car tires from losing grip on the road and keep the vehicle on course. The tread helps the tire grip the road in all weather situations, including rain, snow, ice, and other conditions. These tread patterns are one of the most essential parts of a tire, and they have a significant impact on how a tire performs. Therefore, the correct option is a) they push water, snow and ice out of the way.
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In the process of loading a ship, a shipping container gets dropped into the water and sinks to the bottom of the harbor. Salvage experts plan to recover the container by attaching a spherical balloon to the container and inflating it with air pumped down from the surface. The dimensions of the container are 5.80 m long, 2.60 m wide, and 2.80 m high. As the crew pumps air into the balloon, its spherical shape increases and when the radius is 1.50 m, the shipping container just begins to rise toward the surface. Determine the mass of the container. You may ignore the weight of the balloon and the air in the balloon. The density of seawater is 1027 kg/m3.
Answers
Answer:
57.885.8 kg weight of the container
Explanation:
The volume of the balloon * density of water = buoyant force of balloon
volume of a sphere = 4/3 pi r^3
= 4/3 pi * (1.5)^3 = 14.14 m^3 <===balloon volume
Now, find the buoyant force on the container ALONE ....
5.8 * 2.6 * 2.8 * 1027 = 43 364 kg <===== buoyant force
Now add the buoyant force of the balloon to find the weight
43 364 + 14.14 * 1027 = 57885.8 kg
TRUE OR FALSE otions of objects near our galaxy's core suggest the central black hole is about 3.7 billion solar masses.'
Answers
True, The motion of objects near our galaxy's core, such as stars orbiting around the central region, indicates the presence of a supermassive black hole.
Based on extensive observations and calculations, it has been estimated that the central black hole of our galaxy, known as Sagittarius A* (Sgr A*), has a mass of approximately 3.7 billion times that of our Sun.
This estimation is derived from the gravitational influence and dynamics of surrounding objects, providing strong evidence for the existence of a supermassive black hole at the center of our Milky Way galaxy.
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A feather and a marble are released from a height of 10 m at the same time. Why will the marble reach the ground first
Answers
Answer:
air resistance slows the feather
Explanation:
which statements accurately describe mechanical waves
Answers
Answer:
Explanation:
so a mechanical wave transfers energy through a medium but unlike other waves that move through very long distances
the distance of the mechanical wave is different
____________________ steels contain specified larger proportions of alloying elements.
Answers
Alloy steel mainly consists of a specific large number of alloying elements.
Alloy steel is formed when other elements containing metal and non-metal are introduced to carbon steel. The percentage of alloying elements will differ from 1.0% to 50%. On the basis of this percentage, alloy steel is categorised into two major types, low alloy steel and high alloy steel. This alloy shows different environmental, chemical and physical properties that can change with changes in elements used to make an alloy. this alloying can affect heat treatment conditions and mechanical properties of carbon steel. In general, the addition of impurities increases the strength of the steel.
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At time t=0, a particle is located at the point (3,8,8). It travels in a straight line to the point (8,9,4), has speed 7 at (3,8,8) and constant acceleration 5i+j−4k. Find an equation for the position vector r(t) of the particle at time t The equation for the position vector r(t) of the particle at lime t is r(t)= (Type exact answers, using radicals as needed.)
Answers
The equation for the position vector r(t) of the particle at time t is :r(t) = 3i + 8j + 8k + (7i + 0j + 0k)t + (5/2i + 1/2j - 2k)t²
Given,Initial velocity, v0= 7 m/s
Final velocity, v = ?
Acceleration, a= 5i + j - 4k
Time, t = ?
Distance between the points, d= √(8 - 3)² + (9 - 8)² + (4 - 8)²
= √25 + 1 + 16
= √42 m
We know that,v = v0 + at
On substituting the given values in the above equation, we get,
7 + a×t = v
⇒ v = 7 + (5i + j - 4k)×t
Now, the equation of motion can be given by the following equation,r(t) = r0 + v0t + 1/2at²
Here,r0 = (3i + 8j + 8k) is the initial position of the particle
On substituting the given values in the above equation, we get,
r(t) = 3i + 8j + 8k + (7i + 0j + 0k)t + (5/2i + 1/2j - 2k)t²
Hence, The particle's location vector at time t is represented by the equation:r(t) = 3i + 8j + 8k + (7i + 0j + 0k)t + (5/2i + 1/2j - 2k)t²
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Craig is trying to push a heavy crate up a wooden ramp, but the crate won't budge.
The direction of the static friction force acting on the crate is
a Up the ramp
b Down the ramp
c The friction force is zero
d There is not enough information to tell
Answers
Answer:
Explanation:
The direction of the static friction force acting on the crate is opposite to the direction in which Craig is trying to push the crate, which is down the ramp. Therefore, the answer is a) Up the ramp.
In the context of this physics question, static friction acts in opposite direction to the force applied. Therefore, when pushing a crate up a ramp, the frictional force will be directed down the ramp.
Explanation:The force of static friction acts in the direction opposite to the direction in which an object is being pushed or pulled. So, when Craig is trying to push a heavy crate up a wooden ramp, the frictional force is acting against his push. That means it's directed down the ramp. So, the answer is b Down the ramp.
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How can a luminous object convert into a non-luminous object?
pls helppp...
Answers
Answer:
Explanation:
A luminous object is one that emits light, whereas a non-luminous object does not emit light on its own. The process of a luminous object becoming a non-luminous object can occur in several ways, including:
Running out of fuel: Many luminous objects, such as stars, emit light and heat as a result of nuclear fusion reactions that occur within them. However, these reactions require fuel to continue, and when the fuel runs out, the luminosity of the object will decrease until it is no longer emitting significant amounts of light.
Cooling down: Some luminous objects, such as incandescent light bulbs, emit light as a result of being heated to high temperatures. However, as they cool down, they emit less light and eventually become non-luminous.
Changing physical state: Some luminous objects, such as fire, emit light and heat as a result of a chemical reaction. When the fuel for the reaction is exhausted, the fire will extinguish and the object will no longer be luminous.
In summary, a luminous object can become non-luminous when it runs out of fuel, cools down, or undergoes a physical change that stops the process that was causing it to emit light.
Which does energy never do?
it never grows
it never disappears
it never lessens
it never changes
PLZZ answer With THE CHOICES PROVIDED THANKS!!!!
Answers
The rotational inertia of a thin cylindrical shell of mass M, radius R, and length L about its central axis (X - X') is:
A. MR2/2
B. ML2/2
C. ML2
D. MR2
E. none of these
Answers
The rotational inertia of a thin cylindrical shell of mass M, radius R, and length L about its central axis (X - X') is MR²/2.
Determine the moment of inertia?The rotational inertia, also known as the moment of inertia, is a property that quantifies an object's resistance to rotational motion. For a thin cylindrical shell, the rotational inertia can be calculated based on its mass, radius, and length.
The formula for the rotational inertia of a thin cylindrical shell is given by I = MR²/2, where M represents the mass of the shell and R represents its radius.
In this case, since we are considering the rotational inertia about the central axis (X - X'), the length of the cylinder (L) does not come into play. The only relevant parameters are the mass (M) and radius (R).
Applying the formula, the rotational inertia of the thin cylindrical shell is MR²/2. Therefore, the correct answer is A. MR²/2.
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Tommy runs around a track whose circumference is 400 meters. He runs a single lap in a time of 62 seconds. What is Tommy’s displacement
Answers
Answer:
Angular Displacement 6.28 radiansExplanation:
for circular motion we are expected to solve for Angular Displacement it is measured in radian
Measurement of Angular Displacement.
we can measure it using the following relation
∅= s/r
where
s = the distance travelled by the body, and
r = radius of the circle along which it is moving.
given that
circumference c, s= 400 m
r= ?
we have to solve for the radius
we know that circumference
\(c= 2\pi r\)
400= 2*3.142*r
400= 6.282*r
divide both sides by 6.284 we have
400/6.284
r= 63.63 m
Angular displcament
∅= 400/63.63
∅= 6.28 radians
a 1100-kg elevator is rising and its speed is increasing at 3.0 m/s2. the tension in the elevator cable is:
Answers
The tension in the elevator cable is 14080 Newtons (N).
According to Newton's second law of motion, the net force acting on an object is equal to the product of its mass and acceleration. In this case, the elevator has a mass of 1100 kg and is experiencing an acceleration of 3.0 m/s^2.
The weight of the elevator is given by the equation: weight = mass * gravity, where gravity is the acceleration due to gravity (approximately 9.8 m/s^2).
Weight of the elevator = 1100 kg * 9.8 m/s^2
To find the tension in the cable, we need to consider the net force acting on the elevator. The net force is equal to the sum of the weight of the elevator and the force required to accelerate it.
Net force = Weight of the elevator + Force for acceleration
The force for acceleration can be calculated using Newton's second law:
Force for acceleration = mass * acceleration
Force for acceleration = 1100 kg * 3.0 m/s^2
Finally, we can find the tension in the cable by adding the weight of the elevator and the force for acceleration:
Tension in the cable = Weight of the elevator + Force for acceleration
To find the tension in the cable, we need to calculate the weight of the elevator and the force for acceleration.
1. Weight of the elevator:
Weight = mass * gravity
Weight = 1100 kg * 9.8 m/s^2
Weight = 10780 N
2. Force for acceleration:
Force for acceleration = mass * acceleration
Force for acceleration = 1100 kg * 3.0 m/s^2
Force for acceleration = 3300 N
3. Tension in the cable:
Tension in the cable = Weight of the elevator + Force for acceleration
Tension in the cable = 10780 N + 3300 N
Tension in the cable = 14080 N
Therefore, the tension in the elevator cable is 14080 Newtons (N).
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Based on Newton's law of action-reaction, which arrow represents the force that the seat belt would exert on the man's body if he had to slam on the brakes?
Answers
Answer:
c. Y
Explanation:
Newton's third law of motion states that action and reaction are equal and opposite. Hence for every action, there is an equal and opposite reaction.
Considering the system of forces shown in the image, W and Y are opposite forces. When the driver slams on the brakes, he will be pushed forward towards the windscreen. The force Y exerted by the seat belt keeps him on the drivers seat by moving him backwards towards the seat.
what a measurement standard is defined as?
Answers
Answer:
Measurement is the competion of known quantity to unknown quantity.
Explanation:
I hope that it will be right answer
Answer:
Measurement standard is relationship of a physical quantity.
Explanation:
Measurement standard is the fundamental reference and measuring the compared the device, these reference is controlled to the objects conditions to the physical quantity.
Measurement standard are international and perfect master standard and they can not used to the general purpose, there are following categories are:-(1) primary standards (2) secondary standard (3) working standard.(1) primary standard is also known as the master standard to the careful conditions, they are used to the long internals only and they compare to the secondary standard.(2) Secondary standard is also known as the primary standard these type of standard are compared to the regular intervals, and distribute to the safe custody.(3) Working standard is also used to the workshop and laboratories by the worker these are to used in the materials reduce cost.Measurement standard is the need of working to the standards in based to the international standard system.HELP ASAP!!!! WILL TRY TO GIVE BRAINLIEST!
Identify the structure that separates the nuclear contents from the cytoplasm.
Answers
Answer:nuclear membrane
Explanation:
Answer:
Nuclear envelope. Hope this helps.
How does charging by conduction work?
Answers
Answer:
During charging by conduction, both objects acquire the same type of charge. If a negative object is used to charge a neutral object, then both objects become charged negatively. ... In this case, electrons are transferred from the neutral object to the positively charged rod and the sphere becomes charged positively.
A girl is travelling on her bike at a speed 2.54 m/s. If the girl and her bike have a kinetic energy of 193 J, what is the combined mass of the girl and her bike? Show all your work.
Answers
Answer:
About 59.83 kg
Explanation:
The formula for kinetic energy is \(KE = \frac{1}{2}mV^2\), where KE = Kinetic Energy in Joules (J), m = mass in kilograms (kg), and V = Velocity in meters per second (m/s).
In this problem, we are given the Kinetic Energy amount as 193 Joules and the Velocity as 2.54 m/s. Let's plug it into our equation
\(193 = \frac{1}{2} * 2.54^2m\)Now, let's solve this equation.
Step 1: Simplify both sides of the equation.
\(193 = 0.5 * 2.54 * 2.54 * m\) \(193=3.2258m\)Step 2: Divide both sides by 3.2258.
\(193/3.2258 = 3.2258m/3.2258\) m ≈ 59.830 kilogramsVelocity vs time given information in the velocity vs time graph
Answers
The velocity vs. time graph provides information about how the velocity of an object changes over time.
The velocity vs. time graph is a graphical representation of the object's velocity at different points in time. The graph consists of two axes: the vertical axis represents velocity, and the horizontal axis represents time. By examining the graph, you can determine various characteristics of the object's motion.
For example, a positive slope on the graph indicates that the object is moving in a positive direction with increasing velocity. A negative slope indicates motion in the opposite direction or decreasing velocity.
A horizontal line represents constant velocity, as the slope is zero. The steepness of the slope indicates the rate at which the velocity is changing. A steeper slope indicates a faster change in velocity.
The velocity vs. time graph is a valuable tool in understanding the motion of objects. By analyzing the graph's shape and slope, you can determine important information such as acceleration, deceleration, constant velocity, and direction of motion.
It provides a visual representation that aids in interpreting and predicting an object's motion over time.
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A car travels 36 km to the north in 30.0 min. Find
the average velocity in km/min and in km/h.
Answers
If a car travels 36 km to the north in 30.0 min, then the average velocity in km/min and in km/h would be 1.2 km/min and 72 km/hr.
What is Velocity?The total displacement covered by any object per unit of time is known as velocity. It depends on the magnitude as well as the direction of the moving object.
As given in the problem a car travels 36 km to the north in 30.0 min.
The average velocity of the car = 36 / 30 km / min
= 1.2 km/min
The average velocity of the car = (36 / 30 ) × 60
= 72 km/hr
Thus, If a car travels 36 km to the north in 30.0 min, then the average velocity in km/min and in km/h would be 1.2 km/min and 72 km/hr.
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What is the white part of each water molecule and what are the red parts of the water molecules?
Answers
Answer:
hydrogen are the white parts and the red parts are oxygen
one part Hydrogen, two parts oxygen (H2O)
Hydrogen atom is the white part and the red parts are oxygen atoms of water molecule - one part Hydrogen, two parts oxygen (H₂O) in water molecule.
What is the water (H₂O) molecule?Each H₂O molecule is V-shaped and is made up of one oxygen atom and two hydrogen atoms. Hydrogen bonds allow adjacent H₂O molecules to temporarily connect with one another (depicted as blue and white ovals).
Individual H₂O molecules are held together by powerful bonds between the hydrogen (white) and oxygen (red) atoms. When two atoms—in this case, oxygen and hydrogen—share electrons, a covalent link is created. Each end of the V-shaped H₂O molecule adopts a slightly different charge because oxygen and hydrogen draw the shared electrons from each other in different ways. In contrast to the opposite, hydrogen-containing end of the molecule, which is somewhat positive, the region around the oxygen is relatively negative.
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