17. Suppose you attach the object with mass m to a vertical spring originally at rest, and let it bounce up and down. You release the object from rest at the spring’s original rest length. (a) Show that the spring exerts an upward force of 2.00mg on the object at its lowest point. (b) If the spring has a force constant of 10.0N/m and a 0.25-kg-mass object is set in motion as described, find the amplitude of the oscillations. (c) Find the maximum velocity.
Please show all of your work.
Answer:
See below ↓
Explanation:
Step 1 : Diagram
In attachmentStep 2
We choose the system to be the spring, the block, and the Earth and it is isolatedWe put all the data in the figure we have created and create a zero level (initial height) of the block to be yₓ = 0 and the final position, when it stops and moves upwards again, to be yₙ = -ANo external forces are exerted on the system and no energy comes in or out of the systemHence,⇒ ΔE = 0
⇒ Eₙ - Eₓ = 0
⇒ Eₙ = Eₓ
⇒ Kₙ + Uₙ + Pₙ = Kₓ + Uₓ + Pₓ
Final kinetic energy is 0 at the lowest point⇒ Uₙ + Pₙ = Uₓ + Pₓ
Step 3
Initial potential energy is 0 [zero level = initial height]⇒ Uₙ + Pₙ = Uₓ
And we know that spring was originally at normal length, so initial spring energy is also 0⇒ Uₙ + Pₙ = 0
⇒ 1/2kxₙ² + mgyₙ = 0
⇒ 1/2kxₙ² = -mgyₙ
We know xₙ = A and yₙ = -A from the diagram⇒ 1/2kA² = -mg(-A)
⇒ 1/2kA² = mgA
⇒ [1/2kA = mg]
Step 4
Spring force is given by : F = -kxNote : x = A⇒ F = kA
⇒ k = F/A
⇒ Plug 'k' into the equation found at the end of Step 3
⇒ 1/2(F/A)(A) = mg
⇒ 2F = mg
⇒ F = 2mg (a)
Step 5
We know the spring will stop oscillating and be at rest at the new equilibrium position of the system⇒ F - mg = 0
⇒ F = mg
We know that :⇒ F = -kx
In the case x = yₙ⇒ kyₙ = mg
⇒ yₙ = mg/k
⇒ yₙ = 0.25 x 9.8 / -10
⇒ yₙ = -0.245 m
⇒ yₙ = A
⇒ yₙ = 0.245 m (b)
Step 6
v(max) = Aωv(max) = A√k/mv(max) = 0.245 x √(10/0.25)v(max) = 1.55 m/s (c)two cars have the same mass, but one is traveling 3 times as fast as the other. how much more kinetic energy does the faster car have
Answer:
9 times the KE
Explanation:
KE = 1/2 mv^2 now triple 'v'
KE = 1/2 m 9 v^2
A 0.105- kg hockey puck moving at 24 m/s is caught and held by a 75-kg goalie at rest. With what speed does the goalie slide on the ice after catching the puck? Define the puck and the goalie as a system.
please show work, help
Answer:
0.03 m/s
Explanation:
Applying law of conservation of momentum,
m₁v₁ + m₂v₂ = (m₁ + m₂)v0.105(24) + 75(0) = (0.105 + 75)v75.105v = 2.52v = 2.52/75.105v = 0.03 m/s
Infrared light and visible light are both waves on the electromagnetic spectrum. Identify two
other similarities between infrared and visible light.
Answer:
Both travel in straight line
do you think your real?
Answer: Yes I am alive.
if i were to (HYPOTHETICALLY) punt a small child off of a building, (HYPOTHETICALLY) how long would it take for the (VERY HYPOTHETICAL) child to reach maximum velocity?
(HYPOTHETICALLY) the child would weigh 88 pounds, have blond hair and blue eyes, and (HYPOTHETICALLY) be named "Jacob."
THIS QUESTION IS HYPOTHETICAL AND I AM TOTALLY NOT PLANNING TO COMMIT AN ATROCITY!
Answer:
Around 190-ish miles per hour when it hit the ground maybe
Explanation:
How do we use information from earths climate change data in order to engineer soulutions that reduce carbon emissions and impact of human activities?
Answer:
That is a very broad question. One thing that does not seem to be considered is the depletion of the ozone layer at high altitudes.
In the 1960's chlorofluorcarbons (CFC,s) became popular as refrigerants, spray can propellants, etc. In January 1989 the Montreal Protocol was passed which has greatly reduced the use of these substances. However, it may be several decades before the ozone layer can be replaced and again absorb harmful ulraviolet rays that may be partly responsible for the increase in global warming.
(One chlorine atom at high altitudes can be responsible for the destruction of 100,000 molecules of ozone - catalytic reaction)
A crane lifts a 450 kg concrete to the top of a 50 m building in 5 s.
Assuming g= 10 m/s
)
2
a) The potential energy of the concrete.
, calculate;
b) The power developed by the crane
Explanation:
Given : m=600kg h=20 m
Time of operation t=2 min =120 s
Work done in lifting a box W=mgh=600×10×20=120000
Power required P=
t
W
=
120
120000
=1000 watts
The average speed of a car that travels 100 miles in 4 hours is
By what means can the internal energy of a closed system increase?.
Answer:
when work is done on the system or heat comes into the system
What is the length of a pendulum that has a period of 4. 89 seconds?
Hi there!
We can use the following equation for a simple pendulum:
[tex]T = 2\pi \sqrt{\frac{L}{g}}[/tex]
T = Period (4.89 s)
L = length (? m)
g = acceleration due to gravity (9.8 m/s²)
Rearrange the equation to solve for L.
[tex]T^2 = 4\pi ^2 \frac{L}{g}\\\\L = \frac{gT^2}{4\pi ^2}[/tex]
[tex]L = \frac{(9.8)(4.89^2)}{4\pi^2} = \boxed{5.936 \frac{m}{s}}[/tex]
A pendulum is a body hanging from a fixed point that swings back and forth under the effect of gravity. The length of a pendulum that has a period of 4.89 seconds is 5.936 meters.
What is a pendulum?A pendulum is a body hanging from a fixed point that swings back and forth under the effect of gravity. Pendulums are employed to govern the movement of clocks because the time interval for each full oscillation, known as the period, remains constant.
Given that the time period is 4.89 seconds, therefore, the length of the pendulum can be written as,
[tex]\rm T = 2\pi \sqrt{\dfrac{L}{g}}\\\\4.89 = 2\pi \sqrt{\dfrac{L}{9.81}}\\\\L = 5.936\ m[/tex]
Hence, the length of a pendulum that has a period of 4.89 seconds is 5.936 meters.
Learn more about Pendulum:
https://brainly.com/question/14759840
#SPJ4
A boy walks up a hill. His displacement from his starting point is (800, 150) m. How much gravitational potential energy has he gained?
Answer:
The potential energy gained is 1500m joule.
Explanation:
Hope this helps!
Answer:
Answer: He 1500m joule amount of gravitational potential energy
Explanation:
Good Luck
hope it helps
Mark as brainliest please
From left, a large candle A, a point C, a small candle B, a double convex lens D. A line passes below the base of the A and B, through C, and through the center of D. An eye looks left and up from below the line to the right of the lens. Dotted lines pass from the top of the large candle to the dotted center of the lens. Solid lines pass from the top of the small candle to the dotted centerline of the lens and then turn and pass down and right to the eye. Refer to the diagram to the left and use the drop-down menus to identify the parts of a magnifying glass. Label A: Label B: Label C:
Answer:
Label A: Virtual Image
Label B: Object
Label C: Focal point
Explanation:
Label A: Virtual Image
Label B: Object
Label C: Focal point
What is an eye ?The visual system's organs include the eyes. They provide living things the ability to see, to take in and interpret visual information, and to perform a number of photoresponse activities that are not dependent on vision. Light is detected by the eyes, which transform it into electro-chemical impulses in neurons. In higher organisms, the eye is a sophisticated optical system that gathers light from the environment, controls its intensity through a diaphragm, focuses it through an adjustable arrangement of lenses to form an image, transforms this image into a series of electrical signals, and sends these signals to the brain via intricate neural pathways that connect the eye via the optic nerve to the visual cortex and other regions of the brain. The ability of resolving eyes has arrived.
To know more about eye :
https://brainly.com/question/15686038
#SPJ2.
If the two blocks are touching, what will happen to the thermal energy in this system?
Explanation:
What are the integers between -4 and +4?
Diffraction explains
Diffraction explains
being able to hear sounds from outside a room throughout the whole room
creating images to adjust for eye problems
allow for the formation of rainbows
transmit images over long distances
An example of diffraction is being able to hear sounds from outside a room throughout the whole room.
What is diffraction?The term diffraction has to do with the bending of waves around an obstacle which causes the waves to spread out as they emerge on the other side.
One typical example of diffraction is being able to hear sounds from outside a room throughout the whole room.
Learn more about diffraction: https://brainly.com/question/12290582
If a number of coplanar forces acting on a particle are in equilibrium, then
Explanation:
Then the algebraic sum of the moment of all the forces about any point is equal to the moment of the resultant force about the same point
If a number of coplanar forces acting on a particle are in equilibrium. then the moment of their resultant is equal to the sum of their individual moment.
What is the law of moments?If a number of co-planar forces operating on a particle are in equilibrium, the algebraic sum of their moments about any point equals the moment of their resultant force about the same point, according to the law of moments.
Hence If a number of coplanar forces acting on a particle are in equilibrium. then the moment of their resultant is equal to the sum of their individual moment.
To learn more about the law of moments refer to the link;
https://brainly.com/question/13735588
#SPJ4
Rock layer that must be rich in organic matter that was subjected to heat and pressure over time during the formation of oil and natural gas.
The lowest rock layer is a layer that must be rich in organic matter that was subjected to heat and pressure over time during the formation of oil and gas.
What is the lowest rock layer?The lowest rock layer refers to the lowermost part of the Earth's mantle, which is a thin rock layer (approximately 250 km).
In the Earth, the layers of rocks are progressively deposited, thereby pressing them to the bottom to generate sedimentary rocks.
The lowest rock layers on the bottom must be rich in organic matter to form fossil fuels.
Learn more about rock layers here:
https://brainly.com/question/25846908
22. What is the length of a pendulum that has a period of 0.500 s?
Please show all of your steps to find the solution.
6.21 cm
use the pendulum formula : [tex]\sf \bold{\mathrm{T}=2 \pi \sqrt{\frac{\mathrm{L}}{\mathrm{g}}}}[/tex]where
T is time or periodπ is pie = 22/7L is pendulum lengthg is acceleration due to gravityGiven:
T = 0.500 sg = 9.8 m/s²solving step-wise:
[tex]\dashrightarrow \mathrm{T}=2 \pi \sqrt{\dfrac{\mathrm{L}}{\mathrm{g}}}[/tex]
[tex]\sf \dashrightarrow \mathrm{0.5}=2 \pi \sqrt{\dfrac{\mathrm{L}}{\mathrm{9.8}}}[/tex]
[tex]\dashrightarrow \mathrm{\dfrac{0.5}{2 \pi } }=\sqrt{\dfrac{\mathrm{L}}{\mathrm{9.8}}}[/tex]
[tex]\dashrightarrow\sqrt{\dfrac{\mathrm{L}}{\mathrm{9.8}}}= \mathrm{\dfrac{0.5}{2 \pi } }[/tex]
[tex]\sf \dashrightarrow{\dfrac{\mathrm{L}}{\mathrm{9.8}}}= (\mathrm{\dfrac{0.5}{2 \pi } })^2[/tex]
[tex]\sf \dashrightarrow{{\mathrm{L}}= (\mathrm{\dfrac{0.5}{2 \pi } })^2*9.8[/tex]
[tex]\sf \dashrightarrow{{\mathrm{L}}=0.06205922 \ m[/tex]
1 m → 100 cm[tex]\sf \dashrightarrow{{\mathrm{L}}=6.2059\ cm[/tex]
[tex]\sf \dashrightarrow{{\mathrm{L}}=6.21\ cm[/tex] { rounded to nearest hundredth }
Let's see
[tex]\\ \rm\rightarrowtail T=2\pi \sqrt{\dfrac{l}{g}}[/tex]
[tex]\\ \rm\rightarrowtail 0.5=2\pi \sqrt{\dfrac{l}{9.8}}[/tex]
[tex]\\ \rm\rightarrowtail 0.783=\pi \sqrt{l}[/tex]
[tex]\\ \rm\rightarrowtail 0.2494=\sqrt{l}[/tex]
[tex]\\ \rm\rightarrowtail \ell=0.0622m[/tex]
Two blocks each of mass m are attached to the ends of a massless rod
The net torque on this system is (ml2g-ml1g)k
What is Torque?
This refers to the type of force that causes rotation in objects which has mass and is a twisting force
Based on the complete question, we can see the given parameters:
The torque due to farther mass above the pivot is ml2gk
The torque due to nearer mass about the pivot is ml1gk
Therefore, the net torque is (ml2g-ml1g)k
Read more about torque here:
https://brainly.com/question/14839816
The net torque on this system in which two blocks each of mass m are attached to the ends of a massless rod, above pivot, is (ml₂g-ml_₁g)\hat k.
What is torque?The torque of a body is the rate of change of angular momentum of the body. Torque is the product of moment of inertia and the angular acceleration.[tex]\tau =I\times \alpha[/tex][tex]\tau=mlg[/tex]
Here, (I) is the moment of inertia and (α) is the angular acceleration.
Two blocks each of the mass m are attached to the ends of a massless rod which pivots as shown in fig.
Initially, the rod is held in the horizontal position and then released. When, the mass was kept at farther to pivot, then the value of torque is,
[tex]\tau=ml_2g\hat k[/tex]
When, the mass was kept at nearer to pivot, then the value of torque is,
[tex]\tau=-ml_1g\hat k[/tex]
Thus, the net torque on this system above pivot is,
[tex]\tau=ml_2g\hat k+(-ml_2g\hat k)\\\tau=(ml_2g-ml_1g)\hat k[/tex]
Thus, the net torque on this system in which two blocks each of mass m are attached to the ends of a massless rod, above pivot is (ml₂g-ml_₁g)\hat k.
Learn more about the torque here;
https://brainly.com/question/25482609
#SPJ4
Question 4 of 5
The picture shows a model of a cell.
W
What is the main function of the part labeled Win the model?
Explanation:
it is not clear. I can't see w.
if a solution contains 30 g of
potassium chloride (KCI) per 100 mL of water at 60°C, the
solution would be considered saturated.
true
false
A current in a wire increases from 2 a to 6 a. how will the magnetic field 0.01 m from the wire change? it increases to four times its original value. it increases to three times its original value. it decreases to one-fourth its original value. it decreases to one-third its original value.
Answer:
It increases to three times it's original value.
Explanation:
B
Hi there!
Recall the equation for the magnetic field of a wire (assuming infinite):
[tex]B = \frac{\mu _0 i_{encl}}{2\pi r}[/tex]
B = Magnetic field (T)
μ₀ = Permeability of Free Space (Tm/A)
i = enclosed current (A)
r = distance from wire (m)
From the equation, we can see that there is a DIRECT relationship between the current and the magnetic field.
Therefore, if the current is increased by a factor of 3, the FIELD will also be increased by a factor of three.
Students in science are studying solutions and the dissolving rate of solids. One group was given some instant lemonade mix to dissolve. They used a packet of lemonade crystals and a packet of lemonade powder. The students dissolved the same amount of each solid into 100 ml of water. They varied the water temperature. List ALL the possible conclusions based the data the students collected?
Answer:
a-d
Explanation:
hope this helps
The key differences between rotational kinematics and translational kinematics is: A. Rotational kinematics must specify an axis of rotation and objects return to their initial position with successive revolutions. B. Rotational kinematics must specify an axis of rotation and is only applied to rigid objects, not particles. C. Rotational kinematics analyzes both the tangential acceleration as well as the centripetal acceleration and translational kinematics analyzes only the tangential acceleration. D. Rotational kinematics must specify an axis of rotation and uses only dimensionless units
In Translational motion, the body moves in a straight line whereas in Rotational motion, the body moves in a circular path.
Differences between rotational kinematics and translational kinematicsIn Translational motion, the body moves in a straight line and the body same displacement in equal interval of time while on the other hand, in Rotational motion, the body moves in a circular path and the body travels same angular displacement in equal interval of time..
Learn more about motion here: https://brainly.com/question/453639
When you serve the ball, if the ball does not land in the opposite side rectangle this is called a ______. question 2 options: fault miss volley foul
Answer:
its called a fault
Explanation:
Its when u mess up
29. A pendulum with a period of 2.00000 s in one location (g=9.80m/s2) is moved to a new location where the period is now 1.99796 s. What is the acceleration due to gravity at its new location?
Please include all of your steps to the solution.
Answer:
9.82 m/s²
Explanation:
The time period of a pendulum, a body fixed to a pivot by means of a string, is given by the time it takes to complete a single cycle from right to left or left to rightThe formula is given as :⇒ T = 2π√(L/g) [← Important]
L represents the length of the string and g is the value of gravity due to acceleration
Original Time Period [To calculate length of the string]
T = 2π√(L/g)2 = 2π√(L/9.8)L = 9.8/π²L = 0.99646 m [← Keep in mind, we'll need it later!]Calculating value of g' (new acceleration)
T = 2π√(L/g')1.99796 = 2π√0.99646/g' [← From earlier!]g' = 9.82 m/s² (approximately)Hope it helped~
A bus start moving from rest .If its velocity after 5 seconds becames 10 m/s ,find acceleration
Answer:
2 [tex]m/s^{2}[/tex]
Explanation:
acceleration = (final-initial velocity) / time
= (10-0)/5
=2
HELP
1. Which of the following is most useful in determining the kinetic energy of a 50 g battery- powered car
traveling a distance of 10 m?
A) Beaker
B) Voltmeter
C) Thermometer
D) Stopwatch
The stopwatch will be the most useful in determining the kinetic energy of a 50 g battery- powered car traveling a distance of 10 m.
What is kinetic energy?Kinetic energy is the energy of a body possessed due to motion.
This means that for an object to possess kinetic energy, it must be in motion.
The kinetic energy is measured in Joules, which is a product of the mass of the substance and the time taken to travel a distance.
A stopwatch is an instrument used to measure time as one of the components of kinetic energy.
Therefore, the stopwatch will be the most useful in determining the kinetic energy of a 50 g battery- powered car traveling a distance of 10 m.
Learn more about kinetic energy at: https://brainly.com/question/12669551
Pls help with physics.
Question: How does kicking a soccer ball relate to newton's third law?
Thank you!
Answer:
Explanation: “Every action has an equal opposite reaction” is Newton’s third law. So in this situation, kicking the soccer ball is the action and the reaction is it rolling.
Answer:
you push against the ball and the ball pushes back at you
Your force->|<- ball's force
Explanation:
For every action, there is an equal and opposite reaction
Your friend left their science project off until the "night before" and now they are frantic to build a home made weather station that can measure relative humidity. They build the standard two – thermometer setup but their water had just been shut off and so they use salad oil on the wet bulb thermometer. Please describe how well their instrument will work and the physics behind your answer.
The usage of the wet bulb thermometer is important to measure the relative humidity or the air.
How to explain the temperature?It should be noted that air can be saturated with different amount of water vapors according to its temperature.
The percentage of water vapor with the amount of water at the temperature is the relative humidity. Based on the question, the salad oil is important rather than using water since oil doesn't evaporate.
Learn more about temperature on:
https://brainly.com/question/24746268