As shown in the figure, a 2.00-kg block is held in place against the spring by a 50-N horizontal external force. The external force is removed, and the block is projected with a velocity v1 = 1.2 m/s at as it separates from the spring. The block descends a ramp and has a velocity v2 = 2.0 m/s at the bottom. The track is frictionless between points A and B. The block enters a rough section at B, extending to E. The coefficient of kinetic friction between the block and the rough surface is 0.30. The velocity of the block is v3 = 1.4 m/s at C. The block moves on to D, where it stops.
A) What is the total energy of the spring block system before the block descends down the ramp.
B) How high is the ramp?
C) How far did the block move from B to C?
D) How far did the block move from C to D?
E) What is the work done by friction on the block from B to D?
F) What is the Mechanical energy of the spring-block system at E?
G) How much was the spring compressed by the external force
H) What is the spring constant?
Answers
Answer:
Explanation:
A ) Total energy of spring block system at height = kinetic energy at the bottom
= 1/2 m V²
= .5 x 2 x 2²
= 4 J
B )
height of ramp be h
mgh = 1/2 m ( v₂² - v₁² )
2 x 9.8 x h = 2² - 1.2²
19.6 h = 4 - 1.44
h = .1306 m
13.06 cm
C ) If distance between B and C be x₁
work done by friction = reduction in kinetic energy
= μ mg x₁ = 1/2 m ( 2² - 1.4² )
.3 x 9.8 x₁ = 1.02
x₁ = 34.7 cm
D )
If distance between C and D be x₂
work done by friction = reduction in kinetic energy
= μ mg x₂ = 1/2 m ( 1.4² - 0 )
.3 x 9.8 x₂ = .98
x₂ = 33.33 cm
E )
Total work done by friction
= 1/2 m v² - 0 , v = 2 m /s
= .5 x 2 x 2²
= 4 J .
F )
Mechanical energy of the system at E = 0
G ) 1/2 k x² = 1/2 m v²
kx = 50 N , where x is compression and k is spring constant
k²x² / 2k = 1/2 m v²
50² / k = 2 x 1.2²
k = 868.05 N / m
H ) kx = 50
x = 50 / k
= 50 / 868.05
= 5.76 cm .
Related Questions
Someone help with this also
Answers
value of i cap,j cap, k cap
Answers
Answer:
i cap is the unit vector for x axis
eg 2 i cap
j cap is the unit vector for y axis
eg 3 j cap
hope it will help you
Explanation:
What are the energy transfers in a torch?
Answers
Explanation:
The battery is a store of internal energy (shown as chemical energy). The energy is transferred through the wires to the lamp, which then transfers the energy to the surroundings as light. These are the useful energy transfers - we use electric lamps to light up our rooms.
A candle’s wick is the fabric string that holds the flame, and it burns down at a constant slow pace when the candle is lit. The wick is usually surrounded by wax. Which is the most important property of covalent compounds that makes them useful for making candle wax? a low boiling point a low melting point a high boiling point a high melting point
Answers
Answer:
the answer is a low melting point
Explanation:
on edge
Low melting point is the most important property of covalent compounds that makes them useful for making candle wax.
A molecule created by covalent bonding whereby the atoms possess one or much more pair of valence electrons is referred to as a covalent compound. Covalent compounds or ionic compounds are the two groups into which chemical compounds are often divided.
Ionic compounds are composed of atoms or molecules that have gained or lost electrons, causing them to become electrically charged. Ionic compounds are created when ions with opposing charges come together, typically when a metal interacts with a nonmetal. Low melting point is the most important property of covalent compounds that makes them useful for making candle wax.
To know more about covalent compound, here:
https://brainly.com/question/30420584
#SPJ7
who first calculated the value of G?
Answers
Answer:
Lord Henry Cavendish
Explanation:
The constant of proportionality in this equation is G - the universal gravitation constant. The value of G was not experimentally determined until nearly a century later (1798) by Lord Henry Cavendish using a torsion balance.
Answer: Lord Henry Cavendish.
Sienna made a chart listing the steps that describe how a four-stroke heat engine operates.
COM
Step
1
Name
intake
2
ignition
Description
piston moves down and fuel-air mixture
enters cylinder
spark plug fires and causes combustion,
leading to gas expansion
piston moves up and temperature of gas
increases
piston moves up, pushing burned gas
through exhaust valve
3
compression
4
exhaust
Which best describes Sienna's error?
o The descriptions for intake and ignition should be switched with one another.
O During compression, temperature does not increase, it decreases.
O Compression happens before ignition, so it should be step 2.
O The piston moves down, not up, during the exhaust step.
Answers
Answer:
C
Explanation:
Answer:
c
Explanation:
e2020
2. A go-cart travels once around a circular track with a radius of 200m. What is its
displacement?
A)200 m
B)1256.64 m
C)100 m
D)0 m
Answers
Answer:
ggggggg
Explanation:
A sled slides down a snow-covered hill at constant speed. If the hillside is 10° above the horizontal, what is the coefficient of kinetic friction between the runners of the sled and the snow?
Answers
Answer:
The kinetic coefficient of friction between the runners of the sled and the snow is approximately 0.176.
Explanation:
At first we present a free body diagram of the sled as an image attached below. From 1st and 2nd Newton's Laws we know that an object is at equilibrium when it is either at rest or moving at constant velocity. The equations of equilibrium associated with the sled is:
[tex]\Sigma F_{x'} = f-W\cdot \sin \theta = 0[/tex] (1)
[tex]\Sigma F_{y'} = N-W\cdot \cos \theta = 0[/tex] (2)
Where:
[tex]\theta[/tex] - Inclination of the hillside, measured in sexagesimal degrees.
[tex]N[/tex] - Normal force from ground to sled, measured in newtons.
[tex]W[/tex] - Weight of the sled, measured in newtons.
[tex]f[/tex] - Kinetic friction between sled and ground, measured in newtons.
The definitions of kinetic friction and weight are, respectively:
[tex]f=\mu_{k}\cdot N[/tex] (3)
[tex]W = m\cdot g[/tex] (4)
Where:
[tex]\mu_{k}[/tex] - Kinetic coefficient of friction, dimensionless.
[tex]m[/tex] - Mass of the sled, measured in kilograms.
[tex]g[/tex] - Gravitational acceleration, measured in meters per square second.
By applying (3) and (4) in (1) and (2), we have the following system of equations:
[tex]\mu_{k}\cdot N-m\cdot g\cdot \sin \theta = 0[/tex] (1b)
[tex]N -m\cdot g \cdot \cos \theta = 0[/tex] (2b)
And by applying (1b) in (2b), we have the following expression for the kinetic coefficient of friction:
[tex]\mu_{k}\cdot m\cdot g \cdot \cos \theta -m\cdot g \cdot \sin \theta = 0[/tex]
[tex]\mu_{k} = \tan \theta[/tex] (5)
If we know that [tex]\theta = 10^{\circ}[/tex], then the kinetic coefficient of friction between the runners of the sled and the snow is:
[tex]\mu_{k} = \tan 10^{\circ}[/tex]
[tex]\mu_{k}\approx 0.176[/tex]
The kinetic coefficient of friction between the runners of the sled and the snow is approximately 0.176.
Determine the components, the magnitude and the angle (counter-clockwise with respect to the positive x axis) of the resultant vector, R = B + C. Given: 0 Vector B: magnitude = 5.00 units, angle = 115 . 0 Vector C: magnitude = 4.00 units, angle = 255 .
Answers
Answer:
Explanation:
We shall represent vector B and C in terms of i and j .
B = 5 cos115 i + 5 sin115 j
= -2.11 i + 4.53j
Similarly
C = 4 cos255 i + 4 sin225 j
= -1.04 i -3.86 j
R = B + C
= -2.11 i + 4.53j -1.04 i -3.86 j
= -3.15 i + .67 j
magnitude of R
= √( 3.15² + .67² )
= √( 9.92 +.45 )
= 3.22
Angle Ф
TanФ = - .67 / 3.15
= - .21
Ф = - 12⁰
= 180 - 12
= 168 degree counterclockwise from positive x axis.
Oysters are filter feeders. They get their food by moving large amounts of water through their bodies and filtering out whatever is in it. They eat plankton, algae, and similar things that they find in the water. They also remove dirt and chemicals that they find in the water.
How do oysters help other things that live in the water with them?
A.
by removing harmful substances from the water
B.
by removing food from the water
C.
by adding air to the water
D.
all of these
Answers
A. Oysters, clams, and other shellfish are efficient filter feeders that help remove excess nitrogen from waters by incorporating it into their shells and tissue as they grow. ... Adult oysters reportedly can filter up to 50 gallons a day, while large quahogs (hard clams) can clean about 24 gallons of water a day
Which type of lens produces diverging rays?
A) Concave Lens
B) Convex Lens
C) Concave Mirror
D) Flat Mirror
Answers
Answer:
The fact that a double concave lens is thinner across its middle is an indicator that it will diverge rays of light that travel parallel to its principal axis. A double concave lens is a diverging lens.
At which position is the Southern Hemisphere experiencing winter?
A. A
B. B
C. C
D. D
Answers
Answer:
A
Explanation:
At C, it's summer in the southern hemisphere due to it receiving the most amount of sunlight that, at A, earth is tilted so that the northern hemisphere receives the most amount of sunlight (making it winter for the southern hemisphere)
Siruis, the brightest star in the night sky, has a luminosity of 22. This means that Sirius: A, B, C, D QUESTION
A: developed 22 years before the sun
B: is 22 times farther from Earth than the sun
C: gives off 22 times more energy than the sun
D: is 22 times bigger in size than the sun
Answers
Answer:
i think C
Explanation:
How long does it take (in seconds) a 80,000 W motor to do 3,000,000 J of work?
Answers
t=W/P
t=3,000,000 / 80,000
t= 37.5 second
Why do we wear rubber soled sneakers when we run? (PHYSICS)
Answers
Answer:
Rubber soled sneakers make it harder to slip while running
Explanation:
Using your Texting and Driving Spreadsheet: Velocity of the Car: 10 m/s Time of distraction: 8.0 sec Time of reaction: 0.5 sec Velocity after braking: 0.0 m/s Deceleration due to braking: -8.0 m/s/s Warm Up If roads were icy: 1. What would you change in the inputs above and why? ____________ Now, what is: 2. Distance while distracted:_______ m 3. Distance while reacting: _______ m 4. Time while braking: _______ sec 5. Distance while braking: _______ m 6. Total distance: _______ m
Answers
Answer:
1. I would like to change the time of distraction. Because 8 s is a long time to be distracted while driving on the road. Its not safe for the driver and the other people on road if the driver is distracted even for a second.
2. s₁ = 80 m
3. s₂ = 5 m
4. t = 1.25 s
5. s₃ = 7.5 m
6. s = 92.5 m
Explanation:
1.
I would like to change the time of distraction. Because 8 s is a long time to be distracted while driving on the road. Its not safe for the driver and the other people on road if the driver is distracted even for a second.
2.
Distance Covered While Distracted = s₁ = (speed of car)(distraction time)
s₁ = (10 m/s)(8 s)
s₁ = 80 m
3.
Distance Covered While Reacting = s₂ = (speed of car)(reaction time)
s₂ = (10 m/s)(0.5 s)
s₂ = 5 m
4.
Using 1st equation of motion braking motion:
Vf = Vi + at
where,
Vf = Final Speed = 0 m/s
Vi = Initial Speed = 10 m/s
a = acceleration = - 8m/s²
t = ?
Therefore,
0 m/s = 10 m/s + (-8m/s²)t
t = (10 m/s)/(8 m/s²)
t = 1.25 s
5.
Now, using second equation of motion:
Distance Covered While Braking = s₃ = Vi t + (1/2)at²
s₃ = (10 m/s)(1.25 s) + (1/2)(-8m/s²)(1.25 s)²
s₃ = 12.5 m - 5 m
s₃ = 7.5 m
6.
Total Distance = s = s₁ + s₂ + s₃
s = 80 m + 5m + 7.5 m
s = 92.5 m
A student connects AA batteries, that have a total voltage of 6.0 V, to light up a light bulb to create a series circuit. The circuit has a resistance of 50 Ω. How much current (A) flows through the circuit?
image
A.
0.03 A
B.
0.12 A
C.
75 A
D.
300 A
Answers
Answer:
0.12A
Explanation:
v=ir
I=v÷r
6÷50=0.12A
express the relation between m2 , cm2 , mm2 and km2
Answers
Answer:
1 Square meter (m2) is equal to 10000 square centimeters (cm2). To convert square meters to square cm, multiply the square meter value by 10000.
Explanation:
A parachute provides an upward force of 400 N. If the person has a mass of 150.0 kg, what does the force due to gravity have to be in order for there to be a constant velocity in the down direction?
A) 1500.0 m/s/s
B) 400 N
C) 10 m/s/s
Answers
Answer:
1,500 N
Explanation:
Given:
Mass = 150 kg
Gravitational acceleration = 10m/s²
Find:
Force
Computation:
Force = mg
Force = 150 x 10
Force = 1,500 N
A man has a weight of 85 kg what is his weight
A. 833 N
B. 85 N
C. 724 N
D. 145 N
Answers
Answer:
A)833N
Explanation:
weight=9.8x85=833N
I hope it helps
Is CO2 is a molecule or a element or a compound
Answers
Answer:
Compound
Explanation:
Answer:
Compound
Explanation:
Its molecules consist of one carbon atom joined to two oxygen atoms. If you have more than one element chemically bonded, it is a compound.
Which of the following describes one of Galileo Galilei's contributions to the development of the concept of gravity?
a.He conducted experiments with balls and inclined planes.
b.He theorized that Earth was at the center of the universe.
c.He theorized that planets move around the Sun in an elliptical pattern.
d.He calculated a value that is currently known as the gravitational constant.
Answers
Answer:
The correct option is;
c. He conducted experiments with balls and inclined planes
Explanation:
The inclined plane experiment conducted by Galileo Galilei was one of his most important experiments.
The experiment consisted of a grooved board with which a small metal ball is rolled down in, so as to analyze the held Aristotelian ideas about motion.
In the experiment, the focus was on acceleration, a concept that the previously held ideas about motion
What type of modulation is typically used by broadcasting stations to transmit pictures on television screens?
Answers
Television transmitters use one of two different technologies: analog, in which the picture and sound are transmitted by analog signals modulated onto the radio carrier wave, and digital in which the picture and sound are transmitted by digital signals.
Please Help!! This is very tough for me. Try you best to answer these problems!!Pleaseee
Answers
Answer:
everyone else does this to me so lol
Explanation:
Answer:
1. 9 m/s/s
2. 33 m/s
3. 5 m/s/s
4. 9.6 m/s
Explanation:
Newton's third law of motion involves:
A) one force acting on one object
B) a force pair acting on two different objects
C) a force pair acting on one object
D) unbalanced forces acting on many objects
Answers
Answer:
B
Explanation:
There are a pair of forces acting on the 2 interacting objects
You're welcome <3
When carrying passengers up to the second floor, an escalator does 3,000 Nm of work. The time it takes the
escalator to move to the second floor is 6 seconds. The power of the escalator is
Nm/s.
Answers
Answer:
500Nm/s
Explanation:
500
this is the Plato answer!!!!!!
The greater an objects mass... The?
A) the less gravity it has
B) the greater the gravity it has
C) it’s gravity dosent change
D) the less weight
Answers
Answer:
B
can i be brainlyest
Explanation:
What Is The Definition Of Friction?
Answers
What would happen if you put a material between each marble? Newton's Cradle
Answers
Answer:
Explanation:
Momentum is the mass of a moving body times its velocity. It can be transferred from one object to another
Can you hellp me please
Answers
Answer:
the answer is C
Explanation:
because the moon has to be in front of the sun hope this helps
Explanation:
may be (C) is the correct answer .