A soapbox derby race car starts at rest at the top of a track that has a vertical drop of 15 m. The car is to be stopped at the end of the track by colliding with and compressing a spring. In order to avoid injury to the driver, the spring must be compressed to 3.0 m before the car stops. What should be the force constant of this spring
In order to avoid injury to driver, The force constant of this spring should be 73.82 N/m
Calculation of force constant to this spring:
Here
vertical drop is 15 m.
mass of the car, m= 113 kg
gravitational acceleration, g= -9.8 m/s^2
spring compression before car stops, x= 3.0 m
In order to avoid injury to the driver,
we need to use Hooke's law and Newton's second law:
F(net) = F(x)
m*a=-k*x
here a=g
k= -(m*g) / x
here k is force constant of this spring
substituting the values we get,
k = -(113* -9.8) / (15)
k = 73.8266 N/m
Hence, the force constant of this spring should be 73.82 N/m
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1. The force on the last car of a train with a mass of 4.5 kg is 8.0 N. What is the train's acceleration in m/s2?
2. Observe the table. How many times greater must the acceleration of Object B be than the acceleration of Object A to make the table true?
Enter your answer as a whole number, like this: 4
What is a product made from nonrenewable resources?Which is the best example of reusing?
Answer:
the level on the top
Explanation:
_+$+$
A 30 kg child moving at 5 m/s jumps onto a 50 kg sled that is initially at rest
on a frictionless sheet of ice. Determine the speed of the child-sled system after
the child jumps onto the sled.
The speed of the child-sled system after the child jumps onto the sled is 3 m/s.
What is speed?An object's speed is the rate at which it moves in any direction. Speed is measured as the ratio of the distance travelled to the time required to cover that distance. Speed is a scalar quantity since it only has a direction and no magnitude.
Apply momentum conservation perfect inelastic.
p(before) = p(after)
m1v1i = (m1 + m2)vf
(30)(5) = (50)vf
vf = 3 m/s
Hence, speed of the child-sled system after the child jumps onto the sled is 3 m/s
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9. Which describes the two parts of a measurement?
Calculate the net force of the object in the image shown 20N 15 N
A 5.0 kg block is placed on a 30 degree friction-less incline on the surface of earth. What will be the acceleration of the block?
The net force on the block parallel to the incline is
∑ F = -mg sin(θ) = ma
where m is the mass of the block, g = 9.8 m/s² is the acceleration due to gravity, θ is the angle the incline makes with the horizontal, and a is the acceleration of the block. Solving for a gives
a = -g sin(θ)
so the block would slide down the incline with acceleration
a = - (9.8 m/s²) sin(30°) = -4.9 m/s²
Why can the efficiency of a machine never be 100 percent?
A. Energy isn't conserved.
B. The power used can't be measured accurately.
C. Machines can't transform energy from one type to another.
D. Friction converts some energy into a useless form.
How are the molecules in a gas different from molecules in other states of matter?
Answer: The molecules in gases are different from other states of matter
Explanation:
The molecules in gases are different from other states of matter because unlike, for example, a solid, they move around freely and are much more spread apart. A gas can fill up any container, but once the container is unsealed, the gasses will immedietly be let out. Gases can be compressed much more easily than a solid or a liquid.
Sample Response: Yes, the law of conservation of momentum is satisfied. The total momentum before the collision is 1.5 kg • m/s, and the total momentum after the collision is 1.5 kg • m/s. The momentum stays the same after the collision. What did you include in your response? Check all that apply. The law of conservation of momentum is satisfied. The momentum before the collision is 1.5 kg • . The momentum after the collision is 1.5 kg • . The momentum is the same after the collision as it was before the collision.
Answer:
All options presented were applied to the answer.
Explanation:
The sample response presented in the question above, refers to a closed system where two molecules after colliding satisfy the conservation of momentum law, which can also be called the conservation law of linear momentum. This law states that in a closed system the initial state of the components must be maintained and remain the same until the final state, that is, the two molecules maintain their ideal momentum before and after the collision. This means that if they had 1.5 kg • m/s before the collision, this value must be maintained after the collision. All these concepts are presented in the sample response.
Answer:
What did you include in your response? Check all that apply. The law of conservation of momentum is satisfied. The momentum before the collision is 1.5 kg • m/s. The momentum after the collision is 1.5 kg • m/s. The momentum before and after the collision is the same.
Explanation:
The sample response presented in the question above, refers to a closed system where two molecules after colliding satisfy the conservation of momentum law, which can also be called the conservation law of linear momentum. This law states that in a closed system the initial state of the components must be maintained and remain the same until the final state, that is, the two molecules maintain their ideal momentum before and after the collision. This means that if they had 1.5 kg • m/s before the collision, this value must be maintained after the collision. All these concepts are presented in the sample response.
Meeta used an elastic tape to measure the length of her window to stitch a curtain. Do you think she will be able to stitch a curtain of correct measurement? Yes/No . Give scientific reason in detail, also explain the correct method to measure the length of her window.
Answer:
No
Explanation:
She will not be able to measure the length of her window accurately due to instrumental error from her choice of instrument. The elastic nature of her tape would alter the measurement because it will stretch as she is taking her readings, thus reducing the true measurement of the length of her window.
To measure the length of her window, she could use an inelastic tape rule or a metre rule. These instruments would eliminate instrumental error.
Light passes straight through two vertical polarizers. The axes of the filters are aligned parallel to each other. How does the light that passes through the second filter compare to the light that passed through the first filter?.
Light passes straight through two vertical polarizers. The axes of the filters are aligned parallel to each other. The way the light that passes through the second filter compared to the light that passed through the first filter is that all of the light will pass through both polarizers.
What is a polarizer?A polarizer, also known as a polariser, is an optical filter that allows light waves of one polarization to pass while blocking light waves of other polarizations. It may convert an undefined or mixed polarization light beam into a polarized light beam by filtering it.
Calcite, a naturally occurring mineral, is used to make the majority of birefringent polarizers. Calcite is common in polycrystalline form, but optical-grade calcite is scarce, making birefringent polarizers more expensive than most other varieties.
Remember that polarising filters can lower the amount of light reaching your camera's sensor by up to two or three f-stops, so avoid using them in low-light settings. This includes photography during blue hour, at night, and when capturing the Aurora Borealis.
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List some endurance training exercises.
Answer:
•Walking briskly
• Running /jogging
•Dancing
•biking
suppose an am talk radio station broadcasts radio waves with a frequency of 640 khz. calculate the wavelength of these radio waves. round your answer to significant digits.
Answer:
323 m.
Explanation:
The frequency is 640 kHz.
(wavelength) = =
We will now change 640KHz to Hz. This is attainable as follows:
1 KHz = 1000 Hz
Therefore,
640 KHz is equal to 640 KHz 1000 Hz / 1 KHz.
640 kHz = 64×10⁴ Hz
As a result, 640KHz is equal to 64025 Hz.
The following equation connects a wave's wavelength () and frequency (f):
Wavelength x Frequency = Velocity
v = λf
The radio wave wavelength can be calculated using the formula above as follows:
Frequency (f) equals 64 to 104 Hz
The electromagnetic wave's (v) speed is 3 x 108 m/s.
(wavelength) = =
v = λf
3×10⁸ = λ × 64×10⁴
By 64025, divide both sides.
λ = 3×10⁸ / 64×10⁴
λ = 487m
Consequently, the radio wave's wavelength is 487 m.
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A person uses a force of 7 N to drag a garbage can a distance of 15 m. How much work is done on the garbage can?
i. A bus decreases its speed from 80 km/hr to 60 km/hr in 5 s. Find the acceleration of the bus.
Answer:
-5.55 m/s^2
Explanation:
To find the acceleration of the bus, we need to use the formula:
acceleration = (final velocity - initial velocity) / time
Here, the initial velocity of the bus is 80 km/hr, the final velocity is 60 km/hr, and the time taken to change the speed is 5 seconds.
First, we need to convert the speeds from kilometers per hour to meters per second, so that we can use the SI unit of acceleration, which is meters per second squared (m/s^2).
80 km/hr = 80 x 1000 m/3600 s = 22.22 m/s
60 km/hr = 60 x 1000 m/3600 s = 16.67 m/s
Now we can substitute the values into the formula:
acceleration = (final velocity - initial velocity) / time
acceleration = (16.67 m/s - 22.22 m/s) / 5 s
acceleration = -5.55 m/s^2
Therefore, the acceleration of the bus is -5.55 m/s^2.
Note that the negative sign indicates that the acceleration is in the opposite direction of the initial velocity.
How do you find the average speed of three speeds?
Answer:
Assess what information you are given. Use this method if you know:
the total distance covered by one person or vehicle; and
the total time it took that person or vehicle to cover the distance.
Explanation:
Hope this helps! I might be wrong, so tell me if I am
Answer:
Average speed can be calculated by dividing the total distance the object travels by the total amount of time it takes to travel that distance.
Explanation:
This is as much as I can help you, i don't know much else on how to do that ;w; sorry
Question 54 Marks: 1 If the radioactivity of a material is not known, the half-life cannot be determined.Choose one answer. a. True b. False
The given statement "If the radioactivity of a material is not known, the half-life cannot be determined" is (b). false statement because half-life, in radioactivity, is the amount of time needed for half of a radioactive sample's atomic nuclei to decay.
Or, alternatively, the amount of time needed for a radioactive material's rate of disintegrations per second to decrease by half. Cobalt-60, a radioactive isotope used in radiotherapy, has a half-life of 5.26 years, for instance. As a result, after that time, a sample that contained 8 g of cobalt-60 at first would only have 4 g of cobalt-60 and would produce half as much radiation. Only 2 g of cobalt-60 would remain in the sample after an additional delay of 5.26 years.
However, neither the volume nor the mass of the initial sample are shown to decrease because when cobalt decays, unstable cobalt-60 nuclei turn into stable nickel-60 nuclei, which stay with the cobalt that hasn't yet broken down.
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What switch must be closed to light the led
Answer:
I think D
Explanation:
Q: Why are distances in space often measured in light years?
A) The light year is a commonly used unit of measurement
B) Distances in space are so great that a large unit is needed
C) Scientists like to use measurements to confuse people
D) Light years are easy to measure and understan
if normal range of motion of the shoulder is not possible and the attempt causes the shoulder to shrug or hike, the injury is
If normal range of motion of the shoulder is not possible and the attempt causes the shoulder to shrug or hike, the injury is likely a rotator cuff tear.
When the normal range of motion of the shoulder is restricted, and attempting to move the shoulder causes it to shrug or hike, it is indicative of a potential rotator cuff tear.
The rotator cuff is a group of muscles and tendons that surround the shoulder joint, providing stability and facilitating movement. It helps to keep the head of the upper arm bone (humerus) securely within the shoulder socket.
A rotator cuff tear can occur due to various reasons, such as trauma, repetitive motion, or degeneration with age. When a tear occurs, it can lead to pain, weakness, and limited range of motion in the shoulder.
The inability to move the shoulder through its normal range without causing shoulder shrugging or hiking suggests that the rotator cuff's integrity is compromised.
It is important to consult a healthcare professional for a proper diagnosis and appropriate treatment of a suspected rotator cuff tear. Treatment options may include rest, physical therapy, medication, or in severe cases, surgical intervention.
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How do you find the magnitude of the electric field at the origin?
In order to find the magnitude of the electric field at the origin, you need to use the equation E = q/4πεr², where q is the charge, ε is the permittivity of space, and r is the distance from the origin.
To calculate the electric field, you must first determine the charge of the particle, then determine the distance to the origin, and finally, use the equation to calculate the magnitude of the electric field.
Once you have the magnitude of the electric field at the origin, you can then use it to explore the behavior of other electric fields in the area.
To calculate the magnitude, you must first determine the values of k, q, and r, then plug them into the equation and solve. The resulting answer will be the magnitude of the electric field at the origin.
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lol i'm going to fail please help
Scientists have found that the long slow sound produced by blue whales is almost consistently a B pitch at 16.0 Hz. The wavelength of this note is 97.5 m. How long would it take for this sound from a blue whale of scientists that is tracking them from 11 km away?
The answer is 7.1 s I just don't know how to get it :/
NO LINKS ISTGGGG
Answer:
Explanation:
The frequency is 16.0 Hz. That means that 16 of these waves can pass a single point in 1 second. We are given frequency and wavelength. The equation that relates them is
\(f=\frac{v}{\lambda}\) where f is frequency, v is velocity, and λ is wavelength. Putting all this together:
\(16.0=\frac{v}{97.5}\) and solving for velocity,
v = 16.0(97.5) so
v = 1560 m/s. This wave can travel 1560 meters in a single second!!! Now that we know this velocity, we can use it in a proportion to find our unknown, which is how long, t, it will take to hear this sound 11000m away. (11 km is 11000m):
\(\frac{1560m}{1s}=\frac{11000}{t}\) and cross multiply to get
1560t = 11000 so
t = 7.1 seconds
initially the angle 0 is much less than the critical angle for this light in water the laser moves and 0 gradually increases untill it is much greater than the critical angle describe for different angle of the laser what happens to the light beam after it hits the surface
Answer:
low angle n₁ sin θ₁ = n₂ sin θ₂
critical angle sin θ₁ = \(\frac{n2}{n1}\) θ₁ = θ_{reflected}
Explanation:
When the light ray touches the two surfaces of the refraction according to the Law of Refraction
n₁ sin θ₁ = n₂ sin θ₂
In this problem the ray goes from the material with the highest index to the lowest index, in the middle of the incident it has the subscript 1
sin θ₂ = \(\frac{n_1}{n_2}\) sin θ₂
What
n₁/n₂> 1
in refracted ray it moves away from normal.
As the incident angle increases, a value is reached where sin θ₂ = 1, for this angle
sin θ₁ = \(\frac{n2}{n1}\)
This angle is called critical and as the sine function cannot have values greater than 1, the ray is reflected, therefore it must comply with the law of reflection where the incident angle is equal to the reflected angle.
Which two statements about digital data are true?
A. A virus can change or destroy digital data that are stored on a
computer
B. It is difficult to accidentally delete the data.
C. A virus prevents digital data from being changed or stolen on a
computer.
D. The quality of copies stays the same as more copies are made.
Answer:
a & b
the others don't make sense
The two statements about digital data true are
A virus can change or destroy digital data that are stored on acomputer.
It is difficult to accidentally delete the data.What is digital information?
Digital information generally consists of data that is created or prepared for electronic systems and devices such as computers, screens, calculators, and communication devices. These information are stored by cloud.
Data is different from information because data is not yet processed but information is processed.
The two statements about digital data true are
A virus can change or destroy digital data that are stored on acomputer.
It is difficult to accidentally delete the data.Thus, the correct options are A and B.
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A exercise ball is on a table 2.5 m above the ground. What is the mass
of the ball if it has a GPE of 56.8 J?
Answer:
2.27kg
Explanation:
The Potential energy gained = Force gravity× Height
Force gravity on the ball is GPE/ height
56.8/2.5=22.72N
the mass = 22.72/10= 2.27kg
The mass of the ball when the gravitational potential energy of 56.8 J present is 2.27 kg.
What is gravitational potential energy?The potential energy is the energy by virtue of its position in the effect of gravity.
Given is an exercise ball is on a table 2.5 m above the ground. It has a gravitational potential energy of 56.8 J.
Potential energy = gravity force × height
P.E =mgh
56.8 J = m x 9.8 x 2.5
m = 2.27kg
Thus, mass of the ball is 2.27 kg.
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A wave has a speed of 150 m/s and a frequency of 60 Hz. What is the wavelength of this wave in metres?
Answer:
wavelength = 2.5 m
Explanation:
λ=. v/f
= \(\frac{150m/s}{60Hz} = 2.5m\)
Which is directly proportional PLS HURRY
Which is directly proportional to your weight on a planet's surface?
A. Only your mass
B. Only the mass of the planet
C. Your mass and the mass of the planet
D. The distance from the surface to the center of the planet
Answer: B. Only the mass of the planet
Explanation:
the confusion on the concepts of mass and weight arises from the fact that the acceleration due to gravity is more or less constant in any place on the Earth's surface, thus the weight of an object is directly proportional to its mass. hope it helps <3
vega is a star of average mass. what will it likely expand into?
Vega is a main-sequence star of spectral type A, with a mass of about 2.1 times that of the Sun. As a main-sequence star, Vega is burning hydrogen in its core to produce energy, and it will continue to do so for several billion years.
After it exhausts the hydrogen in its core, Vega will enter a new phase of its life known as the red giant phase. During this phase, Vega will expand to become a much larger star, with a radius that may be several hundred times larger than its current radius. The outer layers of Vega will cool and become less luminous, causing the star to appear redder in color.
As the red giant phase progresses, the core of Vega will contract and heat up, eventually becoming hot enough to fuse helium into heavier elements. This process will release a large amount of energy, causing the outer layers of the star to be blown away in a massive explosion known as a planetary nebula. The hot, compact core that remains will eventually cool down and become a white dwarf, the final stage of stellar evolution for stars like Vega.
So, Vega is expected to expand into a red giant star before evolving into a white dwarf.
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The effective capacity utilization can be smaller than the design capacity utilization. O True False
The statement " The effective capacity utilization can be smaller than the design capacity utilization." is True because design capacity utilization refers to the maximum utilization of the system's capacity under ideal conditions.
Effective capacity utilization refers to the actual utilization of a system's capacity, taking into account factors such as downtime, maintenance, and other operational constraints. On the other hand, design capacity utilization refers to the maximum utilization of the system's capacity under ideal conditions.
In practice, it is common for the effective capacity utilization to be smaller than the design capacity utilization. This occurs due to various factors that affect the actual production or service delivery. These factors can include equipment breakdowns, scheduled maintenance, employee absenteeism, supply chain disruptions, and variations in customer demand.
The effective capacity utilization considers the real-world operational conditions and takes into account the constraints and limitations that can impact the system's performance. Therefore, it is not uncommon for the effective capacity utilization to be lower than the design capacity utilization, which represents the theoretical maximum utilization achievable under ideal circumstances.
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