If a mass m is attached to an ideal massless spring and has a period of t, then the period of the system when the mass is 2m is [tex]\sqrt{2}t[/tex].
Calculation:
Step-1:
It is given that a mass m is attached to an ideal massless spring and the period of the system is t. It is required to find the period when the mass is doubled.
The time it takes an object to complete one oscillation and return to its initial position is measured in terms of a period, or T.
It is known that the period is calculated as,
[tex]T=2 \pi \sqrt{\frac{m}{k}}[/tex]
Here m is the mass of the object, and k is the spring constant.
Step-2:
Thus the period of the system with the first mass is,
[tex]t=2 \pi \sqrt{\frac{m}{k}}[/tex]
The period of the system with the second mass is,
[tex]\begin{aligned}\\t^'&=2 \pi \sqrt{\frac{m}{k}}\\&=\sqrt{2}\times2 \pi \sqrt{\frac{2m}{k}}\\&=\sqrt{2}\times t\end{aligned}[/tex]
Then the period of the system with the second mass is [tex]\sqrt{2}[/tex] times more than the period of the system with the first mass.
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Mike jumps 1 m down onto a walkway. His downward motion stops in 0. 02 seconds. If he forgets to bend his knees, what force is transmitted to his leg bones? mike's mass is 70-kg.
The force that transmitted into his leg bones are 15479.52 N. We use third law of kinematic equation to find it.
How to find the force transmitted to his leg bones?First, we have to find the value of his velocity when he stop using the third kinematic equation.
V₂² = V₀² + 2 x g x h
V₂² = 0 + 2 x 9.8 x 1
V₂ = 4.42 m/s
Then find the acceleration he has as follow:
a = (V₂-V₁) : t
a = [tex]\frac{4.42-0}{0.02}[/tex]
a = 221.136 m/s
Then, find the force that we want to know by:
F = m x a
F = 70 x 221.136
F = 15479.52 N
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Which is a complete description of the momentum of an object?O 4.2 m/s, eastO 2.4 kg/mO2 kg/sO 1.9 kg*m/s, west
1.9 kg*m/s
As we know that momentum is directly proportional to Mass and Velocity
Momentum= k*M*V
where k is the proportional constant, which is equal to 1 in this case.
(M*V). And by now if we talk about Unit then Mass has SI Unit as Kg. and Velocity have as m/s
I option 1 we unit as m/s which simply shows the unit of Velocity. whereas option 2 is 2.4 kg/m which is not true as we already calculated as it must be kgm/s similarly in the case of option 3 2kg/s which again is not exactly the same SI unit of what we calculated before using equating the equation.
we can calculate the Kinetic energy by multiplying moment by Velocity and dividing 2.
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a 20 newton block is at rest at the bottom of a frictionless incline as shown in the diagram. How much work must be done against gravity to move the block to the top of the incline
The work done in raising the block is 60 J.
What is the work that is done against gravity?We have to note that the work that is done against gravity is the work that is needed so as to be able to raise the block through a vertical distance and this has to be at the back of our minds.
Here we can see in the image that is attached that the vertical height through which the block has been raised is 3m.
We know that the work done = Fh
F = Weight of the block
h = Height of the incline
Thus;
Work = 20 N * 3 m = 60 J
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HELP PLEASE HELP PLEASE HELP PLEASE
Compare and contrast the Physical and Compositional Layers of the Earth
Compositional layers of the earth are determined by their parts while on the other hand, the mechanical layers are determined by their physical characteristics.
What are the compositional layers of the earth?The earth is made up of three different layers: the crust, the cape, and the core according to mechanical things, Earth's layers are the lithosphere, crust, lower mantle (also known as mesospheric mantle), outer core, and inner core, according to Phys.org
Starting at the center, Earth is calm of four distinct layers. They are, from gaping to shallowest, the inner core, the outer core, the mantle, and the crust. Earth's atmosphere has five major and some secondary layers. From lowest to highest, the major layers.
So we can conclude that The earth is made up of three dissimilar layers: the crust, the mantle, and the core.
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From 0-3 seconds Is the object
1) From 0 to 3sec , the object is a)increasing in speed ; 2) From 3 - 6 sec, object is c) neither ; 3) From 6 - 10 sec, object is b) decreasing in speed.
What is speed and acceleration?Speed is the distance covered in an unit of time whereas acceleration is the rate of change of the speed. The unit of speed is meters per second (m/s) and that of acceleration is meters per second squared. Speed is a scalar quantity but acceleration is a vector quantity.
Speed is defined as the rate of change of distance. Velocity is the rate of change of displacement (change of distance in particular direction with respect to time) and acceleration is rate of change of velocity per unit time.
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a 12.5-kg board, 4.00 m long, is being held up on one end by Ahmed. He calls for help in lifting the board, and Judi responds
F min=61.25N Ahmed is supporting a 12.5 kg, 4.00 m long board on one end. Judi responds to his request for assistance by accelerating the speed of the motion, and is the rate for which velocity varies over time.
Explain what an acceleration is.acceleration is the rate of change in both speed and the direction of velocity over time. When anything moves faster or slower in a straight line, it is said to have been accelerated. So because direction is constantly changing, even motion on the a circle accelerates at a constant pace.
What happens if you speed up?This means that a velocity change can be either an alteration in the speed or direction of motion of an object. Acceleration is the process by which an item alters its direction, speed, or both.
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Section 6.1 Review
1. Describe the size and shape of Earth.
2. Describe two characteristics that make Earth unique in our solar system.
3. Summarize how scientists learn about Earth’s interior.
4. Compare Earth’s compositional layers with its structural layers.
A lithosphere is the rocky shell that surrounds a terrestrial planet or natural satellite.
It is made up of the crust and a section of the upper mantle that acts elastically over time periods of thousands of years or more on Earth.
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A 10. 0 g pebble is placed in a sling shot with a spring constant of 200. 0 n/m and is stretched back 0. 500 m. What is the maximum velocity the pebble will acquire?.
The maximum velocity the pebble acquires while placing it in a sling shot with a certain spring constant and in a stretched back position is 70.71 m/s.
Given that,
Mass of the pebble m = 10 g
Spring constant k = 200 N/m
Extension in the sling shot x = 0.5 m
As energy is conserved therefore, slingshot's elastic potential energy is converted into kinetic energy of pebble,
1/2 k x² = 1/2 m v²
200 × 0.5² = 10 × 10⁻³ v²
10⁻² v² = 50
v² = 50 × 10²
v = 70.71 m/s
The maximum velocity of the pebble is calculated to be 70.71 m/s.
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How does shaking the box represent the energy given off by the radioactive
elements when they become stable?
Answer:
shaking the box requires energy given off when the elements change to become stable.
Count The Significant Digits In Each Of These Measurements:: Measurement Number of significant digits -9.0x10-1 kJ/mol 9.6 x 10^-1 mL 0.006600 J 91900 kg
All the non zero digits are significant and 9*10^-1 has 3 significant figures. Leading zeros and succeeding zeros are not significant.
Rules to find significant digits. 0.175 has 3 significant figures, 1930000 has 3 significant figures, 0.045 has 2 significant figures. Zeros after decimals are significant, provided they must have a significant figure(s) on the left side of them. Example-5.730 has 4 significant figures.
40.038 has 5 significant figures. All constants or exponential nos. and trigonometric angles are not significant. Example- 50° has no significant figure. Speed of light-3*10^8 m/s have no significant figures. 14*10^7 have 2 significant figures.
Zeros between two significant figures are significant. Example-40.0 have 3 significant figures. All amounts like 4 apples ,7 children have infinite no.of significant figures.
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How does an HEV work?
An HEV, or hybrid electric vehicle, is a type of vehicle that works by combining a traditional gasoline-powered engine with an electric motor that is powered by a battery.
The electric motor and battery are used to supplement the gasoline engine, allowing the vehicle to operate more efficiently and using less fuel.
The electric motor is used to power the vehicle at low speeds and during acceleration, while the gasoline engine is used at higher speeds and to keep the battery charged.
By using both sources of power, an HEV is able to work better fuel economy than a traditional gasoline-powered vehicle, making it a great choice for those looking to reduce their environmental impact.
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A 400 Kg truck rushing through the street at 20 m/s crashes into a 50 Kg car moving in the same direction at 2 m/s. after the collision the car moves at 142 m/s, what is the final velocity of the truck?
The final velocity or speed of the truck is about 2.5 m/s.
What is the momentum?We have to recall that in this case, the principle of the conservation of the linear momentum must come to mind. From the principle that we have it ought to be know that;
Momentum before collision = Momentum after collision
Then we would have;
(400 * 20) + (50 * 2) = (50 * 142) + (400 * v)
8000 + 100 = 7100 + 400v
8100 - 7100 = 400v
v = 1000/400
v = 2.5 m/s
The velocity is 2.5 m/s from the calculation that we have done.
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What are the factors required for the choice of electric propulsion systems for EVs and HEVs?
When it comes to choosing the right electric propulsion system for electric vehicles (EVs) and hybrid electric vehicles (HEVs), there are several factors to consider. These include power needs, cost, efficiency, environmental impact, and safety.
Power needs are important to consider as the right system will be able to provide enough power for the vehicle’s needs without overpowering it. Cost is also an important factor when selecting a propulsion system as some systems can be expensive.
Efficiency is also key to consider as some systems can be more efficient than others. Environmental impact is also important as some propulsion systems are more efficient and have lower emissions than others. Finally, safety is an important consideration, as some systems may be safer than others.
By considering all of these factors when selecting an electric propulsion system for an EV or HEV, vehicle owners can ensure they are making the best choice for their needs.
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Use the concepts of work and energy to solve the following: You are in first place in Mario Kart at the moment. Your 5.0 kg Mario Kart is moving at 5.5 m/s when you see an oil spill 10 m ahead. If your maximum braking force is 7.0 N, will you stop before you hit the oil spill? What is your braking distance?
You will not stop before you hit the spill.
Your braking distance is 10.8 m.
What is the minimum distance you can travel?
The minimum distance you can travel at the maximum braking force is calculated as follows;
Apply the principle of work energy theorem as follows;
K.E = W
¹/₂mv² = Fd
where;
m is the mass of the Kartv is the speed of the KartF is the maximum braking forced is the minimum distance travelled¹/₂(5)(5.5)² = 7d
75.625 = 7d
d = 75.625 / 7
d = 10.8 m
Hence, you will hit the spill since 10.8 m is greater than 10 m.
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Please answer by 8:00!!! Thank you so much!
A
good examples of a moist passageway that does oxygen exchange are your throat, heart, and nostrils. (simplified answer)
How do astronomers find asteroids heading toward Earth?
Astronomers use a variety of techniques to find asteroids that may be on a collision course with Earth. Some of them are by using optical telescopes and infrared telescopes, and radio telescopes. Once an asteroid is detected, astronomers use its position and velocity data to calculate its orbit and determine if it poses a threat to Earth.
Optical telescopes are equipped with cameras that can take images of a large area of the sky at once. The images are then compared over time to identify asteroids that are moving in relation to the stars.
Infrared telescopes are useful for finding asteroids that are in the inner solar system, where they are closer to the sun and therefore warmer. This is particularly useful for finding asteroids that are difficult to detect using traditional optical telescopes, as many asteroids are dark and therefore do not reflect much light.
Radio telescopes involve bouncing radar waves off asteroids and measuring the time it takes for the waves to return. By analyzing the radar data, astronomers can determine the asteroid's distance and speed, as well as its size and shape.
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When the woman in Example 14.4 expels some of the air in her lungs, what happens to her density and her submerged volume
The density of woman can be calculated from the fraction of submerged. The submerged volume is equal to the volume of fluid displaced.
How does the Archimedes Principle relate to buoyancy?Any object that is partially or fully submerged in a fluid will always be subject to the buoyant force. The buoyant force on an object is equal to the weight of the fluid it pushes away, according to Archimedes' principle.
the woman’s density by solving the equation
fraction submerged = ρ woman/ρ fluid
Density of woman ρ woman => fraction submerge x ρ fluid
Volume of submerged = Volume of float = mass float/ρ fluid.
What is the guiding concept of Archimedes?The buoyant force, which is equal to the weight of the fluid the body displaces, acts on a body at rest in a fluid by pushing upward. If the body is entirely immersed, the amount of fluid that is displaced is equal to the body's volume.
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A 6 kg block initially at rest is pulled to the right along a frictionless, horizontal surface by a constant horizontal force of magnitude 12 n. Find the blocks speed after it has moved through a horizontal distance of 3 m.
The speed of that block after it has moved in the 3 m of horizontal field will be 3.46 m/s.
How to calculate the blocks speed after moved through a horizontal distance?Since the block move in a horizontal we field, we can apply the second Newton law where F = m x a to find the acceleration. The calculation will be:
F = m x a
12 = 6 x a
a = 2 m/s²
Then find the speed by kinetic equation where the formula is V₂² = V₁² + 2as. So:
V₂² = V₁² + 2as
V₂² = 0² + 2 (2) (3)
V₂² = 0 + 12
V₂ = √12
V₂ = 3.46 m/s
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A baseball is pitched at 70 miles per hour (but instead use 31.29 meters/second). The baseball has a mass of 0.145 kg. The catcher catches the ball, and the catcher has 95.9 kg of mass. The catcher is originally stationary (not moving). What is the speed of the catcher (and the ball, combined) immediately after he catches the baseball?
The combined speed of the catcher and the ball is 0.047 m/s.
What is the combined speed?In the case of the question that we have here, we would need to apply the principle of the conservation of linear momentum. It is the principle that stresses the fact that the momentum before collision must be the same as the magnitude of the momentum after collision.
We then have that;
Momentum before collision = Momentum after collision
(0.145 * 31.29) + (95.9 * 0) = (95.9 + 0.145)v
v = the combined speed
Then we have;
4.54 = 96v
v = 4.54/96
v = 0.047 m/s
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Which of the following is NOT a likely result of regular physical activity?
A.
increased energy
B.
decreased attention span
C.
improved school attendance
D.
improved quality of life
Please select the best answer from the choices provided.
A
B
C
D
Answer: B
Explanation:
took the test
A rocket ship has several engines and thrusters. While the solid rocket booster (srb) and main engines only work together during the first 2 minutes of flight, the main engines operate for a total of 8. 5 minutes after the launch. Once the srbs are released, the main engines alone accelerate the rocket from about 1341 m/s to 7600 m/s.
A rocket ship has several engines and thrusters. While the solid rocket booster (srb) and main engines only work together during the first 2 minutes of flight, the main engines operate for a total of 8. 5 minutes after the launch. Once the srbs are released, the main engines alone accelerate the rocket from about 1341 m/s to 7600 m/s. During the first two minutes of flight, the SRB and main engine accelerate at a rate of 52.16 m/s2.
Acceleration is the rate at which a moving object's speed and direction change over time. When something moves faster or slower, it is considered to be accelerating. The engine's initial velocity (u), final velocity (v), and time of motion (t), which is equivalent to two minutes, are the parameters given (2 x 60 s).
The calculations for the main engine's and SRB's acceleration are listed below.
a= Δv / Δt
a=7600-1341 /2*60s
a=52.16 m/s²
As a result, during the first two minutes of flight, the main engine and SRB accelerate at a rate of 52.16 m/s2.
Your question is incomplete but most probably your full question is
A rocket ship has several engines and thrusters. While the Solid Rocket Booster (SRB) and main engines only work together during the first 2 minutes of flight, the main engines operate for a total of 8.5 minutes after the launch. Once the SRBS are released, the main engines alone accelerate the rocket from about 1341 m/s to 7600 m/s.
What is the height of the rocket when the rocket reaches the speed of 7600 m/s? Show your work.
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gas expands when 591 J of energy is added to it as heat. The expanding gas does 431 J of work on its surroundings.
(a) What is the overall change in the internal energy of the gas?
J
(b) If the work done by the gas were equal to 1102 J (rather than 431) J), how much energy would need to be added as heat in order for the change in internal energy to equal the change in internal energy in part (a)?
Let us cut the work done on gas as we move along the direct path
W=-(-area undercurve),=-[(1.00atm)(4.l-2)+1/2(4-1)(4-2)],W=-5atm
The change in internal energy=-88.5J
What does physics mean by internal energy?
In thermodynamics, internal energy is a property or state functional that characterises a substance's energy in the absence of capillary effects and the impacts of external magnetic, electric, and other fields.
What makes it internal energy?
Internal Energy is the energy in a thermodynamics that is NOT either the system's total kinetic energy or the gravitational potential energy. The system's internal freedom levels are connected to the internal energy.
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The graph represents the simple harmonic motion of a mass on a spring.
Which arrow indicates the amplitude of the motion?
A
B
C
D
Answer:
B
Explanation:
Amplitude, in simple terms, is height of the peak. This is done by measuring the peak point to the middle line.
That is B.
summary of a article“exercise can help control stress
Regular exercise improves confidence, mood, and calm while reducing the symptoms of moderate anxiety and depression. Exercise can also help you sleep better, which is commonly interrupted by stress, sadness, and worry.
Is depression influenced by stress?
Stress that lasts a long time or is chronic can be harmful to you on its own, but it could also make depression worse, a mental condition that makes you feel depressed and uninterested in things you usually find enjoyable. Depression can affect your ability to concentrate, concentrate, and regulate your appetite.
Can stress make you sick?
Chronic stress, which lasts for a lengthy period of time, can impair a patient's overall and immune systems. If you are constantly tensepatient's overall and immune systems. If you are constantly tense Stress & Health is an international forum for disseminating cutting-edge theoretical and empirical research that significantly
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The processes that transform rock from one type to another are part of the
The different types of rocks found in the Earth's crust are created and altered through a sequence of events known as the rock cycle.
The cycle of rocksGeologists use the term "rock cycle" to describe how the three main types of rocks—sedimentary, metamorphic, and igneous—transition throughout the course of geologic time. When pushed outside of its equilibrium circumstances, each type of rock undergoes change.
The three major rock types—igneous, metamorphic, and sedimentary—are formed and degraded in accordance with various applications of heat and pressure throughout time, according to a web of processes known as the rock cycle. For instance, adding heat and pressure transforms sedimentary rock shale into slate.
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If a ball is dropped from the top of a
building and it takes 11 seconds to hit the
ground, how tall is the building? travel?
lydia picks up oranges each of which is 1kg from a basket on the ground and puts them on a table that is 1.5 meter high. how much work is she doing on each orange
Explanationnswer:
Answer:find out ;/
Explanation:
A robot vacuum cleaner cleans the Potters front room. Which is the vacuum cleaner's useful output energy? (1 p
O kinetic energy that moves the robot and its brush
O electric energy that recharges the robot's battery
Othermal energy that warms the robot
sound energy that makes a whirring noise
kinetic energy that moves the robot and its brush.
What does a robot vacuum cleaner do?A robotic vacuum is a self-propelled floor cleaner that collects dirt and debris from carpets and hard floors using brushes, a spinning brush, or an air-driven turbine. Without any assistance from humans, they operate independently. Dedicated floor mop or a combination vacuum. The basic principles of how each robot mop works are the same: Water is stored in a tank that you fill, and it is released when the robot moves around your floors while utilising an associated cloth or pad to scrape dirt off the surface. An autonomous robotic vacuum cleaner, sometimes known as a generic trademark, features a restricted vacuum floor cleaning system coupled with sensors, robotic drives, and programmable controllers and cleaning routines.To learn more about vacuum refer to:
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I need help, It’s a packet but unfortunately I can’t add anymore pictures
According to the equation a = v/t, acceleration (a) is the product of the change in velocity (v) and the change in time (t).
What is the measurement of velocity?metric seconds per second
Velocity is a vector representation of a particle's or object's motion with regard to time. The recognised unit of magnitude for velocity is the metre per second (m/s), sometimes known as speed.
What does the word "velocity" represent in terms of its graphic meaning?alphabet v
The letter "v" in capital letters stands for both velocity and speed (boldface). A bar with average values is located above the symbol. When the shortest path is used to measure distance, the amount of displacement is always less than or equal to the distance between the two locations.
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