a 1.10 kg block is attached to a spring with spring constant 14.0 n/m . while the block is sitting at rest, a student hits it with a hammer and almost instantaneously gives it a speed of 49.0 cm/s . what are
Answers
To find acceleration, we use the formula:
v² = u² + 2as
We know that 1 m = 100 cm
Hence, 49 cm/s = 0.49 m/s
v² = u² + 2as0.49² = 0 + 2 * a * 0.15a
= 3.209 m/s²
Now, let's find the force exerted on the block by the hammer.
F = m * a
F = 1.10 kg * 3.209 m/s²
F = 3.53 N
This force causes the spring to compress.
We can find the amount of compression using the formula:
F = kx
We know that the force exerted on the spring is 3.53 N, and the spring constant is 14.0 N/m.
Hence, the compression produced in the spring is:
x = F / kx = 3.53 N / 14.0 N/mx
= 0.2525 m
Therefore, the compression produced in the spring is 0.2525 m.
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Related Questions
Convert 459 L into milliliters
Answers
every 1L is 1000 mL
in this case 459L will be 459,000mL
what is a characteristic of the indicated airspeed if the CG is at the most forward allowable position
Answers
The complete question is:
What is the characteristic of the indicated airspeed if the CG is at the most forward allowable position and constant power and altitude are maintained?
When an aircraft’s forward CG limit exists exceeded, it will influence the flight features of the aircraft by creating higher stalling speeds and better longitudinal stability.
What is the CG Limit effect?When loading an aircraft the CG limit should not be surpassed as noted by the manufacturer, this exists because when the aircraft stands loaded beyond the limit the longitudinal strength of the aircraft will be concerned because more air resistance will be exerted on the wings of the plane which directs to a state comprehended as a stall.
When an aircraft’s forward CG limit exists exceeded, it will influence the flight features of the aircraft by creating higher stalling speeds and better longitudinal stability.
Indicated airspeed will be smaller than it would be with the CG in the most rearward acceptable position. The aft CG delivers the lower stalling speed, the most increased cruising speed, and the least stability.
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I∝e −k d
Where d is the distance between the tip and the surface and k=10 nm −1
. Calculate the change in the tunnelling current when the tip is retracted vertically from the surface by 5% of its original distance of 1 nm. Explain the excellent vertical resolution that can be obtained using STM. [4]
Answers
The change in the tunnelling current when the tip is retracted vertically by 5% of its original distance is approximately -0.2497 A.
In scanning tunneling microscopy (STM), the tunnelling current between a sharp metallic tip and a conducting surface is given by the equation I∝\(e^(^-^k^d^)\), where I represents the current and d is the distance between the tip and the surface. The constant k is equal to 10 n\(m^(^-^1^)\).
To calculate the change in the tunnelling current when the tip is retracted vertically by 5% of its original distance (1 nm), we need to substitute the new distance into the equation. A 5% retraction would result in a new distance of (1 - 0.05 * 1) nm = 0.95 nm.
Plugging this new distance into the equation, we have:
I_new = I * \(e^(^-^k^ * ^dnew)\)
= I * e^(-10 \(nm^(^-^1^)\) * 0.95 nm)
≈ I * \(e^(^-^9^.^5^)\)
As \(e^(^-^9^.^5^)\) is a very small value, the change in the tunnelling current is approximately equal to:
ΔI = I_new - I
≈ -0.2497 A
Therefore, the change in the tunnelling current when the tip is retracted vertically by 5% of its original distance is approximately -0.2497 A.
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what is the critical angle for light in a material with an index of refraction of 2.881 surrounded by air?
Answers
If the angle of incidence of light is greater than 21.2 degrees, the light will undergo total internal reflection within the material.
The critical angle for light in a material with an index of refraction of 2.881 surrounded by air can be determined using the formula:
critical angle = sin^-1 (1/n)
where n is the refractive index of the material.
The material has a refractive index of 2.881.
the critical angle for light in this material surrounded by air would be:
critical angle = sin^-1 (1/2.881)
critical angle = 21.2 degrees (rounded to one decimal place)
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At what speed do a bicycle and its rider w combined mass of 200 kg have the same momentum as a 3000 kg car traveling at 2.0 m/s? a) 030 m/s b) 300 m/ s c ) 30 m/ s d ) 3.0 m/s
Answers
The speed at which the bicycle and its rider have the same momentum as the car is 30 m/s, which corresponds to option c) 30 m/s.
The momentum of the bicycle and rider can be calculated as the product of their mass and velocity, p = mv. Let the velocity of the bicycle and rider be v, then their momentum is 200v.
The momentum of the car is 3000 x 2.0 = 6000 kg m/s.
Setting these two momenta equal, we get:
200v = 6000
Solving for v, we get:
v = 30 m/s
Therefore, the answer is (c) 30 m/s.
To find the speed at which the bicycle and rider with a combined mass of 200 kg have the same momentum as a 3000 kg car traveling at 2.0 m/s, you can use the formula for momentum:
momentum = mass × velocity
First, find the momentum of the car:
momentum_car = 3000 kg × 2.0 m/s = 6000 kg·m/s
Now, to find the velocity of the bicycle and rider with the same momentum, use the formula:
velocity_bicycle = momentum_car / mass_bicycle
velocity_bicycle = 6000 kg·m/s / 200 kg = 30 m/s
So, the speed at which the bicycle and its rider have the same momentum as the car is 30 m/s, which corresponds to option c) 30 m/s.
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You push lawnmower for 50 m applying a constant force of 60 N. your friend carl pushes his same lawnmower for 80 m applying a constant force of 48 N and if it took you both 20 seconds to complete the work, who generated more power? A) youB) CarlC) you both generated the same amount of power.D) Not enough information to determine.
Answers
Given:
The distance you pushed the lawnmower is d = 50 m
The constant force applied by you is F = 60 N
The distance pushed by Carl is d' = 80 m
The constant force applied by carl is F' = 48 N
The time duration is t = 20 s
Required: To determine who generated power.
Explanation:
In order to determine who generated more power, first we need to calculate power.
The power can be calculated by the formula
\(\begin{gathered} Power=\frac{Work\text{ done}}{time} \\ =\frac{Force\times distance\text{ traveled}}{time} \end{gathered}\)Power generated by you will be
\(\begin{gathered} P=\frac{F\times d}{t} \\ =\frac{60\times50}{20} \\ =150\text{ W} \end{gathered}\)Power generated by Carl will be
\(\begin{gathered} P^{\prime}=\frac{F^{\prime}\times d^{\prime}}{t} \\ =\frac{48\times80}{20} \\ =192\text{ W} \end{gathered}\)The power generated by Carl is greater than the power generated by you.
Final Answer: Carl generated more power.
please elp! will mark BRAINLIEST
Answers
Answer:
Help with what
Explanation:
Neils thinks that a comb carrying a charge of static electricity will be able to dissipate its
charge quickly in humid air.
To test this hypothesis, Neils charges a comb by running it through his hair 20 times. He then takes the comb into a room set to 80% humidity and waits 30 seconds. Next, Neils brings the
comb in close proximity to 100 small, identical scraps of paper and counts how many scraps are
attracted to the comb.
To continue testing his hypothesis, what control experiment should Neils run?
A. He should repeat the experiment with more scraps of paper.
B. He should repeat the experiment using a larger comb.
C. He should repeat the experiment with an uncharged comb.
D.
He should repeat the experiment, but only wait 20 seconds before testing the comb's
attractive effects.
Answers
To continue testing his hypothesis, Neil should repeat the experiment, but only wait 20 seconds before testing the comb's attractive effects.
In a controlled experiment, all other factors are held constant with the exception of one. One or more other groups are studied with all conditions being the same as the control group and each other except for one variable. Typically, a collection of data is considered to be the control group, which is often the normal or usual state.
Comparing a control group to an experimental group is a popular form of controlled experiment. The factor being examined is the only difference between the two groups' variables.
A controlled experiment has the benefit of making it simpler to determine whether the results are meaningful.
Imagine you want to know if the type of soil influences how long it takes a seed to germinate and you choose to conduct a controlled experiment to find out. Five similar pots might be used, each filled with a different kind of soil, and each with identical bean seeds. The pots could then be placed in a sunny window, watered equally, and the time it takes for the seeds in each pot to sprout could be recorded.
This is a controlled experiment because the only variable that will change is the kind of soil you use. You are in charge of these options.
Here in given case Neil's goal is to find out how quickly charge dissipate in humid air. So he should try his hypothesis by varying wait time.
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how many 75-w lightbulbs, connected to 120 v as in the figure, can be used without blowing a 17 a fuse?
Answers
We can use the formula:
P = VI
where P is the power in watts, V is the voltage in volts, and I is the current in amperes.
For a 75-watt lightbulb,
75 = 120 × I
I = 0.625 A
To find out how many bulbs can be used without blowing a 17 A fuse, we divide the maximum current by the current for one bulb:
17 A / 0.625 A = 27.2
Therefore, we can use 27 75-watt lightbulbs without blowing a 17 A fuse.
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what describes an objects speed and direction
Answers
Answer:
Velocity
Explanation:
hope this helps
Answer:
Speed in a given direction is called velocity.
Explanation:
Bodily injury due to slips and falls is considered a physical hazard from conditions involving:
Answers
Bodily injury due to slips and falls is considered a physical hazard from conditions involving: surface residues.
Causes of InjuryIn general, injuries can be caused by:
Accidents and trauma, such as falls or hard knocks. Not warming up properly before exercising. Using inappropriate equipment or improper technique while exercising. Too push yourself (excessive exercise). Almost any part of the body can be injured, including muscles, bones, joints, and connective tissue (tendons and ligaments). The ankles and knees are particularly susceptible to injury.Learn more about bodily injury at
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how to find total internal reflection
Answers
(c) Total internal reflection occurs
when the incident angle is greater than the critical angle.
n1 sin θ1 = n2 sin θ2. n1 sin θ1 = n2.hope it helpswhu is it important to mave regular supervision of weights and measurements in the market
Answers
Answer:
Hope the answer helped you. if yes pls follow me
Explanation:
the fundamental answer is without regular supervision of definition of weights and measures,commerce exchange will be impossible and there would be no market whatsoever for anything.
Answer:
the fundamental answer is without regular supervision of definition of weights and measures,commerce exchange will be impossible and there would be no market whatsoever for anything.
Explanation:
"who"
At a distance of 1.0 A.U. The earth takes 1.0 year to travel around the sun how far away is a planet that takes 64 years ro go around the sun
Answers
Answer:
This is from another brainly question so I hope this helps :)
The earth takes 1 year to orbit the sun and is about 150, 000, 000km. Given that, use the rule of 3 to find your answer:
1 - 150, 000, 000
64 - x
(150, 000, 000 * 64) / 1= x
9, 600, 000, 000 / 1
9, 600, 000, 000 km.
A planet located 9, 600, 000, 000 km from the sun takes about 64 years to complete its orbit around the sun.
A dog walks 8.0 meters due north and then 6.0 meters due east.
Determine the magnitude of the dog's total displacement to the nearest tenths place.
Answers
Answer:
10.0mExplanation:
The displacement of the dog is the distance moved in a specified direction. It will be gotten using pythagoras theorem as shown;
d² = 8²+6²
d² =64+36
d² = 100
square root both sides
√d² = √100
d = 10m
Hence the displacement of the dog to the nearest tenth is 10.0m
The two breakers below contain pure water. Which of the following properties is the same for both of these samples?
A) mass
B) volume
C) weight
D) boiling point
Answers
The two breakers below contain pure water. Boiling point is the same for both of these samples.
What are intrinsic and extrinsic properties?Extrinsic and intrinsic characteristics are two divisions of matter or things in science and engineering. An extrinsic property is one that is not indigenous to the sample, whereas an intrinsic property is.
No matter the circumstances of measurement, an intrinsic property is constant. The structure and chemical makeup of it determine its value. Depending on the circumstances, an extrinsic property's value may fluctuate. It depends on how the sample is impacted by outside variables.
Boiling point is the same for both of these samples as it doesn't depends on mass of the water.
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a light, inextensible cord passes over a light, frictionless pulley with a radius of 13 cm. it has a(n) 13 kg mass on the left and a(n) 4.8 kg mass on the right, both hanging freely. initially their center of masses are a vertical distance 3.3 m apart. the acceleration of gravity is 9.8 m/s 2 .at what rate are the two masses accelerating when they pass each other? answer in units of m/s 2 .
Answers
Answer in N-units. With their centers of mass 3.3 m apart vertically, a light, inextensible cable initially travels over a light, friction pulley with such a radius of 13 cm. .
The gravitational acceleration is 9.8 m/s 2. How quickly do the two masses accelerate when they pass one another?
At 1.2 m/s2, an elevator increases in speed.
Gravity accelerates at a rate of 9.8 m/s2.
What is the forward force that the elevator floor applies to a passenger weighing 86 kg
Answer in N-units.
when there is an upward acceleration in the elevator?
Take into account the usual force the elevator would exert on you: N = mg while the elevator is stationary or travelling at a constant speed. If the elevator is moving upward, N = mg + ma. If the elevator is accelerating downward, N = mg - ma.
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A weigh bottle has a mass of 10. 254 g. When distilled water from a 25-ml transfer pipet is added to the weigh bottle the mass is 35. 131 g at 25 °c. What is the true volume of the 25-ml pipet at 25 °c?.
Answers
A 25-mL pipet, with a true volume of 24.95 mL, is used to transfer distilled water to a 10.254-g weigh bottle, increasing its mass to 35.131 g at 25 °C.
Step 1: Calculate the mass of water transferred.A weigh bottle has a mass of 10.254 g and a mass of 35.131 g when distilled water is transferred from a 25-mL pipet. The mass of water is the difference between these 2 values.
m = 35.131 g - 10.254 g = 24.877 g
What is density?Density is the ratio between mass (m) and volume (V).
Step 2: Calculate the volume corresponding to 24.877 g of water at 25 °C.The density of water at 25 °C is 0.9970 g/mL.
24.877 g × 1 mL/0.9970 g = 24.95 mL
A 25-mL pipet, with a true volume of 24.95 mL, is used to transfer distilled water to a 10.254-g weigh bottle, increasing its mass to 35.131 g at 25 °C.
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he lower the frequency of the wave the ____________ it will have.
a
more medium
b
more energy
c
more amplitude
d
less energy
Answers
Explanation:
D. Less Energy
The more energy in a wave, the higher it's frequency
The less energy in a wave, the lower the frequency is
can ile absorb light at 280 nm?
Answers
Tyrosine and tryptophan, in particular, exhibit a highly particular absorption at 280 nm that enables direct A280 assessment of protein content.
Due to its simplicity, cost, and ease of use, UV absorbance at 280 nm is frequently used in laboratories to determine protein content. As there is no requirement for incubation, measurements are quick and very repeatable. Although current spectrophotometers use a sample retention device during the measurement, this approach likewise needs a very tiny sample volume. However, since they could produce inaccurate results, it is important to make sure the protein sample doesn't contain any non-protein parts (such as nucleic acids) with the same absorption spectrum. Absorbance values can be used to identify conformational changes in addition to calculating protein concentrations.
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Is Ophelia a static or dynamic character?.
Answers
Ophelia is a dynamic character.
In Shakespeare's Hamlet, for example, the individual of Hamlet is dynamic due to the fact his attitudes and movements at the top of the play stand in direct assessment to those at the play's beginning; inside the same paintings, Polonius is static due to the fact his person is constant and does now not exchange.
Of all of the pivotal characters in Hamlet, Ophelia is the most static and one-dimensional. She has the capability to grow to be a sad heroine to conquer the adversities inflicted upon her, however, she as a substitute crumbles into madness, becoming merely tragic.
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A 55 kg packing crate is pulled with a constant speed across a rough floor with a rope that is at an angle of 40.8 degrees above horizontal. If the tension in rope is 145 N, how much work is done to move crate 4.0 m?
Answers
If the tension in rope is 145 N, work done to move crate 4.0 m is 442.4 J.
To solve this problem, we first need to find the force acting on the crate in the horizontal direction. This force is equal to the tension in the rope multiplied by the cosine of the angle between the rope and the horizontal:
F_horizontal = Tension * cos(angle) = 145 N * cos(40.8 degrees) = 110.6 N
Next, we can calculate the work done to move the crate using the formula:
Work = Force * Distance * cos(theta)
where theta is the angle between the force and the direction of motion. Since the crate is moving with a constant speed, we know that the net force on it is zero. Therefore, the force of friction acting on the crate must be equal in magnitude to the force we calculated above:
F_friction = F_horizontal = 110.6 N
The angle between the force of friction and the direction of motion is 180 degrees, so we have:
Work = F_friction * Distance * cos(180 degrees) = - 110.6 N * 4.0 m * cos(180 degrees) = - 442.4 J
The negative sign indicates that the work done is in the opposite direction to the displacement of the crate. In other words, the work done by the force of friction is negative because it acts against the motion of the crate. Therefore, the work done to move the crate 4.0 m is -442.4 J.
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The car can round a curve of 90ft radius on a level road if the coefficient of static friction between the tires and the road is 0.75. determine the maximum speed of the car. (10 points)
Answers
The maximum
speed
of the car while rounding the curve with a radius of 90 feet on a level road, with a coefficient of static friction of 0.75, is approximately 16.14 m/s.
To determine the maximum speed of the car while rounding a curve, we can use the concept of centripetal
force
and the maximum friction force.
The centripetal force required to keep the car moving in a curved path is provided by the friction force between the tires and the road. The maximum
friction
force can be calculated using the coefficient of static friction.
The formula for the maximum friction force is:
F_ max = μ * N
Where:
F_ max is the maximum friction force
μ is the coefficient of static friction
N is the normal force (equal to the weight of the car in this case)
To calculate the normal force, we can use the equation:
N = m * g
Where:
m is the mass of the car
g is the acceleration due to gravity (approximately 9.8 m/s²)
Now, let's plug in the values given in the problem:
Radius of the curve (r) = 90 ft = 27.43 m (converted to meters)
The
centripetal
force required to keep the car moving in a curved path is provided by the maximum friction force. Therefore, we can equate the maximum friction force with the centripetal force:
F_ max = F_ centripetal
The centripetal force (F_ centripetal) can be calculated using the formula:
F_ centripetal = (m * v²) / r
Where:
m is the mass of the car
v is the velocity of the car
Now, we can set up the equation:
F_ max = (m * v²) / r
Plugging in the values:
μ * N = (m * v²) / r
Since N = m * g, we can rewrite the equation as:
μ * m * g = (m * v²) / r
Canceling out the mass (m) on both sides of the equation:
μ * g = v² / r
Solving for v, the maximum speed of the car:
v² = μ * g * r
v = √(μ * g * r)
Plugging in the given values:
μ = 0.75
g = 9.8 m/s²
r = 27.43 m
v = √(0.75 * 9.8 * 27.43)
v ≈ 16.14 m/s
Therefore, the maximum speed of the car while rounding the curve with a radius of 90 feet on a level road, with a coefficient of
static
friction of 0.75, is approximately 16.14 m/s.
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The height of a transverse waves is known as its?
Answers
Answer:
amplitude
Explanation:
amplitude of a wave is the maximum displacement of a point from its rest position.
hope you get it,
Hurry up.
When a tight fitting lid is run under hot water, the lid _________ as the temperature increases. Question 3 options: Expands Melts Breaks Contracts
Answers
Answer:
expands
Explanation:
what can you say about egytian paintings
Answers
Answer:
ben türküm buraya nasıl geldim ya
Explanation:
What value relates the speed of light in a vacuum to speed of light in a given material?
Answers
Hold up let me tell you why!!!
The index of refraction which is also known as refractive index is defined as speed of light in a vacuum divided by the speed of light in a giver material.
The formula for index of refraction is:
(n = c ÷ v)
This is where n represents index of refraction
C which represents of light in a vacuum
And V represents speed of light in a given material.
So the speed and the direction of light changes when it moves from one medium to another. And the change direction is basically called refraction......
Hope this is correct and helps you a whole lot!!!
A plane is coming in to taxi at an airport. It lands parallel to the surface at 480m/s and takes exactly one minute to come to a complete stop. What is its acceleration?
Answers
The acceleration of the plane will be −8 m/s²
How to find the acceleration of a plane?
Acceleration is the rate of change in velocity over time (Δv/t).
Given, that the initial velocity of the plane u=480 m/s
The final velocity of the plane is zero after landing, v= 0 m/s
t= 1 minute= 60 seconds
we know, v=u + at
0= 480 + 60a
a=\(\frac{-480}{60}\) = -8m/s²
Thus, the acceleration of the plane is -8 m/s²
(negative acceleration implies that the object is slowing down)
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for which colour of light is. the index of refraction of glass largest
Answers
Answer:
don't know sorry for the irreverent answer..
Answer:
The index of refraction varies with frequency, it doesn't change as light travels from one medium to another, As violet colour has the shortest wavelength and so the refractive index is maximum for it.
the following figures each show vectors representing the forces exerted on an object that is initially at rest. in which case will the object remain at rest?
Answers
The system of forces that would make the object not to move is shown in option A.
Why would the object remain at rest?We know that a force is a vector. A vector is a quantity that does have both magnitude and direction. This implies that we would know the direction in which the vector would move by looking at the direction that is indicated.
A force could have direction because force is a vector quantity. We know that an object is going to remain at rest if the object is acted upon by balanced forces. According to the Newton's first law, the only time that an object would move is if the object has been acted upon by external forces.
We now have to look at the horizontal forces that act on the object. The image that shows horizontal forces of the same magnitude in both directions would not make the object to move.
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