The velocity of the cylinder after it has dropped 0.5 in is 0.497 m/s.
Conservation of energy
The velocity of the cylinder can be determined by applying the principle of conservation of energy as shown below;
Ei = Ef
¹/₂k(xi)² + mgh = ¹/₂mv² + ¹/₂k(xt)²
where;
k is spring constant = 6 lb/in = 1050 N/mm is mass of the system = 100 lb = 45.35 kgxi is initial extension = 3 in = 0.076 mxt is the total extension = 2xi + 0.5 in = 6.5 in = 0.165 mh is height = 0.5 in = 0.0127 m¹/₂k(xi)² = -mgh + ¹/₂mv² + ¹/₂k(xt)²
¹/₂(1050)(0.076)² = -(45.35)(9.8)(0.0127) + ¹/₂(45.35)v² + ¹/₂(1050)(0.165)²
3.032 = -5.64 + 22.68v² + 14.29
3.032 = 8.65 + 22.68v²
-5.62 = 22.68v²
|v| = 0.497 m/s
Thus, the velocity of the cylinder after it has dropped 0.5 in is 0.497 m/s.
The complete question is below:
The spring has a stiffness of 6 lb/in and the mass of the load is 100 lb.
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who is the father of kinematics ?
explain +)
Answer:
FRANZ REULEAUX
Late 19th century kinematics and the theory of machines as seen through the contributions of the German engineering scientist, Franz Reuleaux (1829-1905), often called the "father of kinematics". Extremely famous in his time and one of the first honorary members of ASME, Reuleaux was largely forgotten in much of modern mechanics literature in English until the recent rediscovery of some of his work. In addition to his contributions to kinematics, we review Reuleaux's ideas about design synthesis, optimization and aesthetics in design, engineering education as well as his early contributions to biomechanics. A unique aspect of this review has been the use of Reuleaux's kinematic models at Cornell University and in the Deutsches Museum as a tool to rediscover lost engineering and kinematic knowledge of 19th century history of machine.
why should you have a good attitude School. 3 pages
Answer:
positive attitude lets you relax, remember, focus and absorb information as you learn. You're ready to welcome new experiences and recognize many different kinds of learning opportunities. And when you can see opportunities, hope increases.
A 75.0-kg athlete performs a single-hand handstand. If the area of the hand in contact with the floor is 125 cm2, what pressure is exerted on the floor
The pressure exerted on the floor by the athlete having a mass of 75 Kg is 58800 N/m²
How to determine the force
Mass (m) = 75 KgAcceleration due to gravity (g) = 9.8 m/s²Force (F) =?F = mg
F = 75 × 9.8
F = 735 N
How to determine the pressure Force (F) = 735 NArea (A) = 125 cm² = 125×10¯⁴ m²Pressure (P) =?P = F / A
P = 735 / 125×10¯⁴
P = 58800 N/m²
Thus, the pressure exerted on the floor is 58800 N/m²
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A bird uses 10 N of force to pull a worm out of the ground a distance of 3 inches. How much work did the bird do?
Answer:
The work done by the bird is 0.762 J
Explanation:
Given;
force applied by the bird, f = 10 N
distance the bird moved the worm, d = 3 inches = 0.0762 m
The work done by the bird is given by;
W = F x d
where;
W is the work done by the bird
d is the distance the bird moved the load
Substitute the given values and estimate the work done by the bird;
W = 10 x 0.0762
W = 0.762 J
Therefore, the work done by the bird is 0.762 J
A car accelerates from rest. It reaches a velocity of 25m/s in 10 seconds. What was the cars acceleration?
Answer:
We are Given:
initial velocity (u) = 0m/s
final velocity (v) = 25 m/s
time (t) = 10 seconds
acceleration (a) = a m/s/s
From the first equation of motion, we know that:
v = u + at
solving for a, we get:
a = (v-u) / t
now, plugging the given values in this equation
a = (25 - 0) / 10
a = 25 / 10
a = 2.5 m/s/s
Therefore, the acceleration of the car is 2.5 m/s/s
A heat engine that propels a ship produces 660 Btu/lbm of work while rejecting 300 Btu/lbm of heat. What is its thermal efficiency
This question involves the concepts of thermal efficiency.
The thermal efficiency of the heat engine is "68.75 %".
Thermal EfficiencyThe thermal efficiency of the heat engine can be given by the following formula:
[tex]\eta=\frac{W}{Q}[/tex]
where,
η = thermal efficiency = ?W = Work output = 660 Btu/lbmQ = Heat Input = W + Rejected Heat = 660 Btu/lbm + 300 Btu/lbm Q = 960 Btu/lbmTherefore,
[tex]\eta=\frac{660\ Btu/lbm}{960\ Btu/lbm}[/tex]
η = 0.6875 = 68.75 %
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differentiate kinetic energy from potential energy
The main difference between potential and kinetic energy is that one is the energy of what can be and one is the energy of what is. In other words, potential energy is stationary, with stored energy to be released; kinetic energy is energy in motion, actively using energy for movement.
Hope it helps you! :)
Answer:
Potential energy is the energy that happens before kinetic energy, it might be slow and preparing for the kinetic energy act. Kinetic energy is the outcome of the potential energy. You can say a man climbing a hill with his bike is potential energy, and when he rides his bike down is kinetic energy
what is the distance of sun from earth?
Explanation:
Scientists sometimes call our region of space the "Goldilocks Zone" because it appears to be just right for life. As noted earlier, Earth's average distance to the Sun is about 93 million miles (150 million kilometers) from the Sun.
Condition when an organ is impaired sickness
Answer:
As traditionally used, impairment refers to a problem with a structure or organ of the body; disability is a functional limitation with regard to a particular activity; and handicap refers to a disadvantage in filling a role in life relative to a peer group.
Explanation:
Hope this helps u
Crown me as brainliest:)
19. Two objects of equal masses collide head-on while moving in the opposite directions and join together. Show that the fractional loss of original KE of the objects is given by the 1 expression.
E=(1/2)+(V1V2/V1²+V2²)
Answer:
Explanation:
mass of each object = m
momentum conservation: mv₁ + mv₂ = 2mv, so v = (v₁ + v₂)/2
Initial KE = mv₁²/2 + mv₂²/2 = m(v₁² + v₂²)/2
final KE = (2m)v²/2 = m(v₁ + v₂)²/4
Change in KE = m(v₁² + v₂²)/2 - m(v₁ + v₂)²/4 = m(v₁ + v₂)²/4
= m(v₁² + v₂² + 2v₁v₂)/4 = (1/2) m(v₁² + v₂²)/2 + mv₁v₂/2
Fraction loss = change in KE / initial KE = 1/2 + v₁v₂/(v₁² + v₂²)
What variables do you think affect the strength of the force of gravity between two objects?.
Answer:
Mass and distance.
Explanation:
The force of gravity is proportional to the masses of the two objects and inversely proportional to the square of the distance between them.
Rihanna can go from 0-60 miles per hour in 3.5 seconds. Calculate the acceleration.
Please show ALL work and CIRCLE your answer.
Answer:
7.66 m/s²
Explanation:
The following data were obtained from the question:
Initial velocity (u) = 0 mph
Final velocity (v) = 60 mph
Time (t) = 3.5 s
Acceleration (a) =.?
Next, we shall convert mile per hour (mph) to metre per second (m/s). This can be obtained as follow:
Recall:
1 mph = 0.447 m/s
Initial velocity (u) = 0 mph
Initial velocity (u) = 0 × 0.447 = 0 m/s
Final velocity (v) = 60 mph
Final velocity (v) = 60 × 0.447 = 26.82 m/s.
Finally, we shall determine the acceleration of Rihanna as follow:
Initial velocity (u) = 0 m/s
Final velocity (v) = 26.82 m/s.
Time (t) = 3.5 s
Acceleration (a) =.?
a = (v – u) /t
a = (26.82 – 0) / 3.5
a = 26.82 / 3.5
a = 7.66 m/s²
Thus, the acceleration of Rihanna is 7.66 m/s²
A box sits at the top of an incline that is 50.0 cm tall and that makes an angle of 25° with the ground. The box has a mass of 2.0 kg. It is given an initial speed of 3.0 m/s down the incline. If the coefficient of kinetic friction between the box and the incline is 0.10, how long does it take the box to reach the bottom of the incline?
As the box sits at the top of an incline that is 50.0 cm tall and makes an angle of 25° with the ground, The time it takes to reach the bottom of the incline is mathematically given as
t=0.148s
What is the time it takes the box to reach the bottom of the incline?Generally, the equation for the acceleration is mathematically given as
[tex]a=g(sin\theta-uscos\theta)[/tex]
Therefore
a=(9.8sin-(0.15cos35))
a=4.417
Thereofore
v^2=v0^2+2al
[tex]v^2=V0^2+2ahsin\theta\\\\V^2=(2.0+2(4.417))*60*0.01sin35[/tex]
v=2.6533
In conclusion, The time t is
t=v-v0/a
2.65-20/4.417
t=0.148s
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In which position is it most likely that the spring has lost its elastic potential energy?
A.W
B.X
C.Y
D.Z
Answer:
w
Explanation:
its not being streched lol hope dis help
Option A is correct. At position W the spring will lose its elastic potential energy. When spring is extended or shortened, work is done. In the spring, elastic potential energy is stored.
What is the elastic potential energy of spring?When a spring is stretched or compressed, work is done. In the spring, elastic potential energy is stored.
The work done is equal to the elastic potential energy stored, assuming no inelastic deformation has occurred.
The potential energy of the spring is equal to the work done on the spring;
Potential energy = Work done
The mechanical potential energy contained in the structure of a material or physical system as it is forced to elastic deformation by work done on it is referred to as elastic energy.
When things are impermanently crushed, extended, or distorted in any way, elastic energy is released.
The mechanical potential energy stored in the configuration of a material or physical system as it is subjected to elastic deformation by work done on it is referred to as elastic energy.
At position W, the spring has zero deformation. So there should be no stretching causes the potential energy of the system is zero.
Hence option A is correct. At position W the spring will lose its elastic potential energy.
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Find the resistance at 100°C of a silver wire 1 mm in diameter and 1000 centimetre long ?
Answer:
Ro=19.350 & R¹⁰⁰=26.703
Explanation:
convert 10 erg into joule
Answer:
0.000001
Explanation:
Went to google converter.
______________ is the length of the space between two points.
A.
Time
B.
Velocity
C.
Speed
D.
Distance
Answer:
Distance
Explanation:
When using the length of the space between two points, the distance measures the length
Answer:
D.Distance
Explanation:
A projectile in flight explodes into several fragments. The total momentum of the fragments immediately after this explosion: ___________
a. is the same as the momentum of the projectile immediately before the explosion
b. has been changed into kinetic energy of the fragments
c. is less than the momentum of the projectile immediately before the explosion
d. is more than the momentum of the projectile immediately before the explosion
e. has been changed into radiant energy
Answer:
answer is a.
Explanation:
Newton's first law: inertia
If you still can't get it, look at the book.
the conservation of momentum:
the total momentum of a system is conserved, provided that there is no external net force acting on the system.
The total momentum of a system is conserved. Therefore, the total initial momentum of a body after collision is equal to the total final momentum. Thus, option a is correct.
What is momentum ?Momentum of an object is the ability of an object to bring the force applied to make a maximum displacement. It is the product of its mass and velocity. Momentum is a vector quantity. It have both magnitude and direction.
The momentum in a collision is conserved. Thus total initial momentum is equal to the final momentum. Let m be the colliding mass and the u and v be the initial and final velocity.
Then, mu = m v after collision.
The initial momentum of the flight will be equal to the total momentum of the fragments immediately after the explosion. This is called conservation of momentum.
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what is true about a horizontally launched projectile?
Answer:
it has lateral momentum
Explanation:
it explains itself
Help please it’s urgent
A bullet is fired straight up with a muzzle velocity of 1200 ft/s. How high does the bullet go, neglecting any air resistance?
The height of the bullet as it travels is 72727.27 ft.
What is height?Height is the vertical distance between two points. The unit of height is meter (m).
To calculate the height the bullet will go, we use the formula below
Formula:
v² = u²+2gH.............. Equation 1Where:
v = Final velocity of the bulletu = initial velocity of the bulletg = acceleration due to gravityH = Height the bullet will go.Make H the subject of the equation
H = (v²-u²)/2g................ Equation 2From the question,
Given:
u = 1200 ft/sv = 0 m/s (at maximum height)g = -9.8 m/s² (against gravitational force)Substitute these values into equation 2
H = (0²-1200²)/2×(-9.8)H = -1440000/-19.8H = 72727.27 ft.Hence, The height of the bullet as it travels is 72727.27 ft.
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What are the functions of stems? (Select all that apply.)
Stems absorb water from the soil.
Stems transport water and minerals.
Stems produce additional plants.
Stems help turn the leaves toward sunlight.
Explanation:
A. Stems absorb water from the soil.
B. Stems transport water and minerals.
Hope this helps you
have a good day.
Answer : Stems produce water and soil
And Stems help turn the leaves towards sunlight.
Explanation:
Because of this picture, (if its not obvious), the 2 ones that i got wrong, are not the answer, and the 2 in the middle are is the answer.
What moves up and down in an antenna or transmitter to produce a radio wave?
Answer:
Radio waves move up and down in the antenna or transmister
Explanation:
A ball traveling at 15 m/s hits a bat with a force of 200N. How much force does the bat (moving at 20m/s)
hit the ball with?
O 200
O 15
O 20
O 20
Answer:
200 N
Explanation:
Given that,
A ball traveling at 15 m/s hits a bat with a force of 200 N.
We need to find the force that the bat moving at 20 m/s hit the ball with.
We know that, this probelm is based on Newton's third law of motion. The force that the ball exerting on bat should be equal to the force that the bat exerting in the ball but in opposite direction.
It would mean that the ball hits the ball with a force of 200 N. Hence, the correct option is (a).
Which of the following best explains why engineers are constantly looking for innovative ways to investigate
and improve fluid power designs?
Changes in fluid power systems lead to increased sustainability, such as decreases in fuel costs and carbon emissions.
Changes in fluid power will reach all different types of applications beyond their current uses.
Changes in fluid power will not benefit efficiency ratings but will decrease the costs of products.
Changes are necessary as more designs and products are created and more power systems are required.
Answer:
Explanation:
What was the answer Im stuck on it rn...
Answer:
Changes in fluid power systems lead to increased sustainability, such as decreases in fuel costs and carbon emissions.
Explanation:
What are the Economic importance of rusting of iron
Answer:
Rusting is the corrosion of iron which is the most widely used structural metal.
29N, 60° +59N, 125° + 72N, 261°
Vectors
389wujh
which means it 240C
In certain cases, using both the momentum principle and energy principle to analyze a system is useful, as they each can reveal different information. You will use the both momentum principle and the energy principle in this problem.A satellite of mass 7500 kg orbits the Earth in a circular orbit of radius of 8.7 106 m (this is above the Earth's atmosphere).The mass of the Earth is 6.0 1024 kg.What is the magnitude of the gravitational force on the satellite due to the earth
Explanation:
The gravitational force equation is the following:

Where:
G = Gravitational constant = 
m1 & m2 = the mass of two related objects
r = distance between the two related objects
The problem gives you everything you need to plug into the formula, except for the gravitational constant. Let me know if you need further clarification.
Select the correct answer.
In the "Describe the situation" step of the decision-making model, which of the following questions may be helpful to ask yourself?
А What decision needs to be made? OB. Why must this decision be made? OC. How will this decision affect me and others?
OD. All of the above
Answer:
d
Explanation:
What will make it hard to remember that blood is an organ?
A - it is red
B - it has parts
C - it is a liquid
D - it moves
Answer:
C . it is a liquid
hope it helps you