Answers
Explanation:
T1 = 201k
T2 = 537k
C1 = 1220 m / s
C1/C2 =√(T1/T2)
C2 = C1×√(T2/T2)
C2 = 1220×√(537/201)
C2 = 1220 × √(179/67)
C2 = (1220√179)/(√69)
C2 = (1220√11993)/67 ≈ 1994.10924
I hope it helps you
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The speed of sound when the temperature rises is 1988.6 m/s.
Speed of sound when the temperature risesThe speed of sound when the temperature rises is calculated as follows;
\(C_2 = C_1 \times \sqrt{\frac{T_2}{T_1} }\)
where;
C1 is the initial speed = 1220 m/sT1 is the initial temperature = 201 KT2 is the final temperature = 537 KC2 is the final speed = ?The final speed of sound is calculated as follows;
\(C_2 = 1220 \times \sqrt{\frac{537}{201} } \\\\C_2 = 1988.6 \ m/s\)
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Related Questions
I need help filling out the acceleration for gravity due to the numbers in this chart
Answers
In order to calculate the acceleration of gravity, we can use the free fall formula:
\(d=\frac{gt^2}{2}\to g=\frac{2d}{t^2}\)Where d is the distance travelled and t is the time.
So for each distance in the chart, we have:
\(\begin{gathered} d=0.2\colon \\ g=\frac{0.4}{0.184^2}=11.81 \\ \\ d=0.4\colon \\ g=\frac{0.8}{0.258^2}=12.02 \\ \\ d=0.6\colon \\ g=\frac{1.2}{0.4^2}=7.5 \\ \\ d=0.8\colon \\ g=\frac{1.6}{0.236^2}=28.73 \\ \\ d=1\colon \\ g=\frac{2}{0.33^2}=18.37 \end{gathered}\)(All gravity units in m/s²)
Now, calculating the average, we have:
\(g=\frac{11.81+12.02+7.5+28.73+18.37}{5}=15.69\)Finally, calculating the percent error, we have:
\(\text{Percent error}=\frac{|9.81-15.69|}{9.81}=0.5994=59.94\text{\%}\)what does an animal cell have that a plant cell dosent
Answers
Answer:
Animal cells have centrosomes (or a pair of centrioles), and lysosomes, while plant cells don't. Plant cells have a cell wall, chloroplasts, plasmodesmata, and plastids utilized for capacity, and a huge focal vacuole, though creature cells don't.
Hope this helped :)
with full explaniation
Answers
A. The ball's (vertical) velocity \(v\) at time \(t\) is
\(v(t) = 30\dfrac{\rm m}{\rm s} - gt\)
so that after 4 seconds, the ball's speed is
\(|v(4\,\mathrm s)| = \left|30\dfrac{\rm m}{\rm s} - \left(10\dfrac{\rm m}{\mathrm s^2}\right) (4\,\mathrm s)\right| = \boxed{10\frac{\rm m}{\rm s}}\)
(The velocity is -10 m/s, so the ball is falling back down at this point.)
B. At maximum height, the ball has zero velocity, so it takes
\(30\dfrac{\rm m}{\rm s} - gt = 0 \implies t = \dfrac{30\frac{\rm m}{\rm s}}g = \boxed{3\,\mathrm s}\)
for the ball to reach this height.
C. The height of the ball \(y\) at time \(t\) is
\(y(t) = \left(30\dfrac{\rm m}{\rm s}\right) t - \dfrac g2 t^2\)
The maximum height is attained by the ball at 3 seconds after it's thrown, so
\(y_{\rm max} = \left(30\dfrac{\rm m}{\rm s}\right) (3\,\mathrm s) - \dfrac{10\frac{\rm m}{\mathrm s^2}}2 (3\,\mathrm s)^2 = \boxed{45\,\mathrm m}\)
D. The time it takes for the ball to reach its maximum height is half the time it spends in the air. So the total airtime is \(\boxed{6\,\mathrm s}\).
Put another way: When the ball returns to the height from which it was thrown, its final velocity has the same magnitude as its initial velocity but points in the opposite direction. This is to say, after the total time the ball is in the air, it's final velocity will be -30 m/s. Then the total airtime is
\(30\dfrac{\rm m}{\rm s} - gt = -30\dfrac{\rm m}{\rm s} \implies t = \dfrac{60\frac{\rm m}{\rm s}}g = \boxed{6\,\mathrm s}\)
Put yet another way: Solve \(y(t) = 0\) for \(t\). I don't see a need to elaborate...
A car accelerates at a rate of 9 ft/s/s for a time of 11 seconds. How far does the car go?
Answers
1) speed of bob?2)Show calculation for the speed of the bob:(write formula first, then insert value with unit, then find the result with unit)
Answers
Speed of bob:
\(\begin{gathered} \omega=2\pi f \\ _{\text{ }}where\colon \\ f=\frac{1}{T} \\ \omega=\frac{2\pi}{T} \end{gathered}\)so:
\(\begin{gathered} \omega=\frac{2\pi}{1.293} \\ \omega=4.83\frac{rad}{s} \end{gathered}\)\(\begin{gathered} v=\omega\cdot r \\ so\colon \\ v=4.83\cdot0.22 \\ v=1.06\frac{m}{s} \end{gathered}\)
imagine that you have an electric car and all of the recaptured energy is put back into the battery that powers your car what speed could your car cheat from rest by using only the recaptured energy from part B
Answers
Answer:
Moving vehicles have a lot of kinetic energy, and when brakes are applied to slow a vehicle, all of that kinetic energy has to go somewhere.
Explanation:
When working with a razor blade or exacto knife --
O hold it as you would a pencil when writing.
O grip it with your fist with the blade facing upward.
O twirl it between your fingers.
O grip it with your fist with the blade facing downward.
Answers
Answer:
last answer
Explanation:
gripping it with the blade facing downward is the most efficient and safe way to use an exacto knife
an elevator of mass 250kg is carrying two persons whose masses are 50kg and 100kg. if the forces exerted by the motor is 3000N. calculate the mass of the bodies in the elevator.... Taking g as 10m/s²
Answers
Explanation:
mass=force*acceleration
mass=3000*10
mass=30,000
The mass of the bodies in the elevator is 400 kg.
The acceleration of the elevator is 2.5 m/s².
What is acceleration?Acceleration is rate of change of velocity with time. Due to having both direction and magnitude, it is a vector quantity. Si unit of acceleration is meter/second² (m/s²).
Given parameters:
Mass of the elevator: M = 250 kg.
Mass of two persons: m₁ = 50 kg and m₂ = 100 kg.
Force exerted by the motor: F = 3000N.
g = 10 m/s².
Let, the acceleration of the elevator = a.
the mass of the bodies in the elevator :m= 250 kg. + 50 kg +100 kg. = 400 kg.
Now, F = mg - ma
⇒ 3000 = 400×10 - 400a
⇒ a = 1000/400 = 2.5 m/s²
Hence, the acceleration of the elevator is 2.5 m/s².
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Which objects will likely have the smallest gravitational force between them?
A. Two tennis balls that are near each other
B. Two soccer balls that are near each other
C. Two tennis balls that are touching each other
D. Two soccer balls that are touching each other
Answers
Answer: A. Two tennis balls that are near each other
Explanation: The gravitational force between two objects depends on their masses and the distance between them. According to Newton's law of universal gravitation, the force of gravity is directly proportional to the product of the masses and inversely proportional to the square of the distance between the objects.
In this scenario and given the information provided, the tennis balls are near each other but not touching, the distance between them is small. Furthermore, tennis balls have relatively low mass and are smaller compared to soccer balls. So, the gravitational force between them will be relatively small.
Answer:
B. Two soccer balls that are near each other
Explanation:
You want to know the configuration of objects that has the least mutual gravitational attraction from ...
tennis balls near each othersoccer balls near each othertennis balls touchingsoccer balls touchingGravityNewton's law of universal gravitation says the force due to gravity between two objects is proportional to their masses and inversely proportional to the square of the distance between them.
This tells you that balls near each other will have less gravitational attraction than balls touching. This eliminates choices C and D.
Relative valueThe meaning of the word "near" each other comes into play here. If we assume that the geometry of concern has the balls at the same distance relative to their diameter, then we can look a the mass a and diameter of a soccer ball and a tennis ball to determine which pair will have less gravitational attraction.
Here are the relevant specifications:
soccer ball: 8.6-9" diameter, 400-450 g masstennis ball: 2.575-2.7" diameter, 56-59.4 g massThe fact that dimensions are mixed US and metric units is of no consequence. (The conversion factors will be the same in both cases.)
So, we can approximate the relative gravitational attraction with a "figure of merit" that is ...
fom = mass/diameter²
The attached calculator shows this figure of merit for the two ball types. The lesser value corresponds to the lesser force of gravity between soccer balls.
fom (soccer ball) ≈ 4.9
fom (tennis ball) ≈ 7.7
Two soccer balls near each other will have the smallest gravitational force.
Your own car has a mass of 1200 kg. If your car produces a force of 6000 N, how fast will it accelerate?
Answers
Compute your average velocity in the following two cases:
a. You walk 73.2 m at a speed of 1.22 m/s and then run 73.2 m at a speed of 3.05 m/s along a straight track.
b. You walk for 1.00 minat a speed of 1.22 m/s and then run for 1.00 min at 3.05 m/s along astraight track.
c. Graph x versus t for both cases and indicate how the average velocity is found on the graph.
Answers
The average velocity in the following cases are 1.743m/s and 1.22m/s.
Calculation of Average VelocityTo find the average velocity is given by:
V = \(\frac{total distance (d)}{time taken (t)}\)
(a) From the question we are given:
d1 = 73.2m,
d2 = 73.2m,
v1 = 1.22m/s
v2 = 3.05m/s
We need to calculate the time taken to complete each of the distance using the formula:
t = \(\frac{total distance}{speed}\)
t1 = 73.2/1.22 = 60s
t2 = 73.2/3.05 = 24s
The average velocity is the total distance divided by the total time:
Average velocity (V) = (d1 + d2) / (t1 + t2)
V = 146.4 m / 84 s
Therefore, V = 1.743 m/s (to 3 significant figures)
(b) From the question we are given:
t1 = 1min = 60s,
t2 = 1min = 60s,
v1 = 1.22m/s
v2 = 3.05m/s
We need to calculate the distance covered for each of the time using the formula:
d1 = velocity * time = v1 * t1 = 1.22 * 60 = 73.2m
d2 = velocity * time = v2 * t2 = 3.05 * 60 = 183m
The average velocity is the total distance divided by the total time:
Average velocity (V) = (d1 + d2) / (t1 + t2)
V = (73.2 + 183)/ (60 + 60)
V = 256.2/120 = 2.135m/s
Therefore, the average velocity (V) is 2.135m/s (to 3 significant figures)
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A set of pulleys is used to lift a piano weighing 1,000 newtons. The piano is lifted 3 meters in 120 seconds. How much power was used?
Answers
Answer:
25 watts
Explanation:
Power=work/time
work=force x distance
1000 × 3
=3000 Joules
power= 3000/120
=25 watts
If A set of pulleys is used to lift a piano weighing 1,000 newtons. The piano is lifted 3 meters in 120 seconds. Then the power used is equal to 25 watts.
What is power?Power is the rate at which work is done or energy is transferred. It is a physical quantity that measures how quickly energy is used or transformed.
P=W/s
Where W= work done in joules.
s= time in seconds.
Power is typically measured in watts (W), which is equivalent to joules per second (J/s). In simple terms, power can be defined as the amount of work done or energy transferred per unit of time.
Here in the question,
To calculate the power used to lift the piano, we need to use the formula:
Power = Work / Time
The work done in lifting the piano is given by:
Work = Force x Distance
Where
Force = the weight of the piano, which is 1,000 newtons,
Distance = the height to which it is lifted, which is 3 meters.
Then, the work done is:
Work = 1,000 N x 3 m = 3,000 joules
The time taken to lift the piano is 120 seconds.
Now we can substitute these values in the formula for power:
Power = Work / Time
Power = 3,000 joules / 120 seconds
Power = 25 watts
Therefore, the power used to lift the piano is 25 watts.
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weight is measured in units called
Answers
If you are talking about the unit of measurement for weight is that of force it would be Newtons.
The weight is measured in a unit called Newton. The newton is a standard unit of weight measurements.
The International System of Units (SI) uses Newtons (N) as the unit of weight measurement. Weight is frequently expressed in pounds (lb) or ounces (oz) in some nations that employ the Imperial system. However, Newton is the accepted weight measurement unit in scientific and international contexts.
The International System of Units (SI) uses Newton as the primary unit of weight measurement. Sir Isaac Newton, a great physicist who significantly influenced our understanding of classical mechanics, is honored by having his name attached to it. Newton is the force needed to accelerate a mass of one kilogram by one meter per second squared in the SI system.
Hence, the weight is measured in a unit called Newton. The newton is a standard unit of weight measurements.
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Two identical blocks are heated to different temperatures. The blocks are placed so that they touch, and heat begins to flow between blocks. The pair of blocks is insulated, so no energy escapes.
Lastly, the temperature of each block is measured again. Which pair of temperatures is possible?
Answers
The pair of blocks is insulated, so no energy escapes. The pair of temperatures possible is 95 +95 temperature blocks.
What is thermal equilibrium?When two objects are in direct contact and transfer heat through conduction. When the both object attain same temperature after sometime, they are called in thermal equilibrium.
Two identical blocks are heated to different temperatures. The blocks are placed so that they touch, and heat begins to flow between blocks. The heat will continue to until and unless they have same temperatures. After they being isolated, the temperature of both will be same and no heat is transferred outside.
Thus, the pair of temperatures possible is 95 +95 temperature blocks.
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Barney walks at a velocity of 1.7 meters/second on an inclined plane which has an angle of 18.5 with the ground what is the horizontal component of Barney’s velocity
Answers
Answer:
Explanation:
The horizontal velocity is 1.61.
What areas of daily life are the effects of the laws of physics seen?
Answers
Answer: Our day-to-day life highly relates to physics.
Explanation: We know that in physics there are many laws such as gravitational laws, laws of friction, and inertia.For example
When we drive a car, and suddenly apply the bake the drive moves forward. This is actually the LAW OF INERTIA.If we placed a ball on the surface it does not change its position until a force is applied. When we placed an object on the surface of the earth, it does not change its position and size until an external force is applied. This is an example of NEWTON'S FIRST LAW.Writing with a ballpoint pen is another example of a LAW OF GRAVITY. When we write with a ballpoint pen the ball spins and because of the gravity the ink travel to the paper.
Given that we know the age of the Earth to be about 4.5 billion years old (and therefore that is also presumably the age of the Sun) how many more years will the Sun shine for?
Answers
The Sun is expected to shine for about another 12 billion years before it exhausts its fuel and eventually becomes a white dwarf.
How many more years will the Sun shine for?The sun is currently in the middle of its main sequence phase, where it is fusing hydrogen into helium in its core. It is estimated that the sun has about 5 billion years left before it exhausts its core hydrogen fuel and begins to evolve off the main sequence.
After the main sequence phase, the sun will enter a new phase where it will expand into a red giant, swallowing up mercury, venus, and likely earth before it eventually becomes a white dwarf star.
The entire process of the sun's evolution off the main sequence and into a white dwarf is estimated to take another 7 billion years.
total = 5 + 7 = 12 billion years
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calculate force. find the force needed to lift a 2000 n weight using a machine with a mechanical advantage of 15
Answers
Answer:
The force needed to lift the load is 133.33 N.
Explanation:
Given;
load to be lifted, L = 2000 N
mechanical advantage of the machine, M.A = 15
Mechanical advantage is calculated as;
M.A = L / E
where;
E is the effort or force needed to lift the load.
Substitute the given values and solve for E
E = L / M.A
E = (2000) / (15)
E = 133.33 N
Therefore, the force needed to lift the load is 133.33 N.
the fact that a water stream emerging from a faucet "necks down" as it falls is shown in the figure, where Area one = 1.8cm,Area two= 0.3cm and Height =25cm. What is the water flow rate from faucet assuming a steady flow?
Answers
The water flow rate from the faucet, assuming a steady flow, is approximately 0.0001608 cubic meters per second.
The phenomenon of a water stream "necking down" as it falls can be explained by the principle of conservation of mass. According to this principle, the flow rate of water remains constant throughout the system.
In the given figure, the water stream emerges from a faucet with an initial cross-sectional area of 1.8 cm² (Area one). As the water falls, it narrows down to a smaller cross-sectional area of 0.3 cm² (Area two) at a height of 25 cm.
To calculate the water flow rate assuming steady flow, we can use the formula:
Flow rate = A₁√(2gh) / A₁² - A₂²
Where A₁ and A₂ are the initial and final cross-sectional areas, respectively, g is the acceleration due to gravity, and h is the height of the water column.
Plugging in the given values, we have:
Flow rate = 1.8 cm² √(2 × 9.8 m/s² × 25 cm) / (1.8 cm²)² - (0.3 cm²)²
Converting the units to match, we get:
Flow rate = 0.018 m² √(2 × 9.8 m/s² × 0.25 m) / (0.018 m²)² - (0.003 m²)²
Simplifying the expression, we find:
Flow rate ≈ 0.0001608 m³/s
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Which psychologist contributed significantly to the humanistic psychology movement
Answers
Carl Rogers, along with Abraham Maslowsignificantly contributed to the humanistic psychology movement through his development of the person-centered approach and his emphasis on the individual's subjective experience and potential for personal growth.
Carl Rogers was a psychologist who played a significant role in the development of humanistic psychology. Alongside Abraham Maslow, Rogers helped establish and promote the humanistic approach to understanding human behavior and experience.Humanistic psychology: Humanistic psychology is a psychological perspective that emphasizes the inherent worth and potential of individuals. It focuses on the subjective experience, self-actualization, personal growth, and the importance of human values.Carl Rogers: Carl Rogers was an influential figure in the humanistic psychology movement. He developed the person-centered approach, also known as client-centered therapy or the Rogerian approach.Person-centered approach: Rogers emphasized the importance of providing a supportive and empathetic environment for individuals to promote their personal growth and self-understanding. He believed that individuals have an innate tendency towards self-actualization, and the role of the therapist is to facilitate this process by providing unconditional positive regard and empathy.Contributions: Rogers made significant contributions to the field of psychology, particularly in the areas of therapy and counseling. His emphasis on the individual's subjective experience and the importance of the therapeutic relationship had a profound impact on the field.Humanistic movement: Alongside Abraham Maslow, Rogers helped establish humanistic psychology as a distinct movement within the field. Their work focused on the holistic understanding of human experience, personal growth, and self-actualization, challenging the dominant perspectives of behaviorism and psychoanalysis.Legacy: Rogers' contributions continue to influence psychology, counseling, and therapy today. The humanistic approach has expanded beyond clinical applications to areas such as education, leadership, and personal development.For more such questions on Carl Rogers,, click on:
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The way in which one atom interacts with another atom is mostly influenced by the configuration of the
A. electrons farthest from the nucleus.
B. protons in the center of the nucleus.
C. electrons closest to the nucleus.
D. protons on the outer edge of the nucleus.
Answers
The way in which one atom interacts with another atom is mostly influenced by the configuration of the electrons farthest from the nucleus.
Option A.
What is atom?An atom can be defined as the smallest part of a substance that cannot be broken down chemically. Each atom has a nucleus (center) made up of protons (positive particles) and neutrons (particles with no charge).
The arrangement of electrons in orbitals and shells around the nucleus is referred to as the electronic configuration of the atom.
Thus, we can conclude that the way in which one atom interacts with another atom is mostly influenced by the configuration of the electrons farthest from the nucleus.
The remaining options do not fit the empty space properly, and they include;
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calculate the potential energy, per ion, for an infinite onedimensional ionic crystal, that is, a row of equally spaced charges of magnitude e and alternating sign. [hint: the power-series expansion of in (1 x) may be of use.]
Answers
For an infinite 1D ionic crystal, or a row of charges with equal spacing and alternate signs, the potential energy per ion is equal to −e^2/4πϵ0d log2
The potential energy (U) per ion in this one-dimensional crystal is represented by the potential energy of interaction between the positive ion at x=0 and all other ions. Let Un represent the potential energy at n charges.
So, U=U12 + U13 + U14 + U15 +.....
U1 = 0 and U2, where U2 = -1xe2/4d, and d is the distance between two charges.
U3 = 1/4 (2x(-e^2/d) + e^2/2d)
U4 = 1/4 (3x(-e^2/d) + 2xe^2/2d + -e^2/3d) Such that
Un = e(−e)/4πϵ0d + e(−e)/4πϵ02d + e(e)/4πϵ03d + e(−e)4πϵ04d+ .....
Un = e(−e)/4πϵ0d[1-1/2+1/3-1/4....] = e(−e)/4πϵ0d log2 as loge(1+x) = x−x^2/2+x^3/3−x^4/4+ ...
Then log(1+1) = log(2) = 1-1/2+1/3-1/4+ ...
Hence the potential energy per ion for positive ion is −e^2/4πϵ0d log2
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Who discovered the laws of planter motion ?
Answers
Answer: Johannes Kepler
Explanation:
Kepler discovered that Mars' orbit was an ellipsoid using the exact data that Tycho had obtained.
A circuit is complete when there is a ______ path for electricity to travel from one end of the energy source to the other end.
lesson 5.04
Question 6 options:
zig zag path
continuous path
broken path
random path
Answers
Answer:
.....when there is a continuous path for electricity....
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URGENT HELP PLS
(a) Find the frequency ratio between the two frequencies f1 = 320 Hz and
½2 = 576 Hz.
S) If we go down from / by an interval of a fourth, find the frequency ratio filfi.
(c) Find the frequency of f3.
Answers
The frequency of f3 is approximately 716 Hz.
What is frequency?The frequency of a repeated event is its number of instances per unit of time. Hertz (Hz), which stands for the number of cycles per second, is a popular unit of measurement.
a. Given two frequencies, f1 and f2, the frequency ratio is as follows:
frequency ratio= \(\frac{f2}{f1}\)
Inputting the values provided yields:
frequency ratio = \(\frac{576}{320Hz}\) =1.8.
As a result, the difference in frequency between f1 = 320 Hz and f2 = 576 Hz is 1.8.
b. Since there are 12 half-steps in an octave and a fourth is a distance of 5 half-steps, going down a fourth requires dividing the frequency by \(2^{(4/12)}\). Hence, once a fourth is subtracted, the frequency ratio between f and f1 is:
frequency ratio= \(\frac{f}{ (f1 /f2 ) }\)= \(\frac{f}{ (f1 / 1.3348) }\)
By dividing the numerator and denominator by 1.3348, we may make this more straightforward:
frequency ratio= (f × 1.33348)/f1
As a result, (f × 1.3348) / f1 is the frequency ratio between f and f1 after descending a fourth.
c. (c) To find the frequency of f3, we need to know the interval between f1 and f3. Let's assume that f3 is a fifth above f2. The frequency ratio for a fifth is given by: \(2^{(7/12)}\) = 1.49831
Therefore, the frequency of f3 is:
f3 = f1 × (\(2^{(7/12)}\)) × (\(2^{(7/12)}\)) = 320 Hz × 1.49831 ×1.49831 = 716 Hz
Therefore, the frequency of f3 is approximately 716 Hz.
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A 580-g squirrel with a surface area of 850 cm2 falls from a 4.0-m tree to the ground. Estimate its terminal velocity. (Use the drag coefficient for a horizontal skydiver. Assume that the cross-sectional area of the squirrel can be approximated as a rectangle of width 11.0 cm and length 22 cm. Note, the squirrel may not reach terminal velocity by the time it hits the ground. Give the squirrel's terminal velocity, not it's velocity as it hits the ground.)
What will be the velocity of a 58.0-kg person hitting the ground, assuming no drag contribution in such a short distance?
Answers
Answer:
its terminal velocity is 19.70 m/s
the velocity of a 58.0-kg person hitting the ground, assuming no drag contribution in such a short distance is 8.85 m/s
Explanation:
Firstly,
given that
m = 580g = 0.58kg
Area A = 0.11 * 0.22 = 0.0242m
g = 9.8
idensity constant p = 1.21 kg/m^3
the terminal velocity of the sphere Vt is ;
Vt = √ ( 2mg / pCA)
we substitute
Vt = √ ( (2*0.58*9.8) / (1.21*1*0.0242)
Vt = √ (11.368 / 0.029282)
Vt = √ ( 388.22)
Vt = 19.70 m/s
its terminal velocity is 19.70 m/s
What will be the velocity of a 58.0-kg person hitting the ground, assuming no drag contribution in such a short distance?
The Velocity of the person is;
V2 = √ 2ax
V2 = √ ( 2 * 9.8 * 4 )
V2 = √ (78.4)
V2 = 8.85 m/s
the velocity of a 58.0-kg person hitting the ground, assuming no drag contribution in such a short distance is 8.85 m/s
Select the correct location of the image where does photosynthesis occur
Answers
Answer:
i believe its 3
Explanation:
How do I find the mass in kg
Answers
To find the mass in kilograms, you need to know the object's weight in newtons and the acceleration due to gravity. The formula for finding mass is mass = weight / acceleration due to gravity. So if you have an object with a weight of 100 N and the acceleration due to gravity is 9.8 m/s^2, the mass would be 10.204 kg.
The mass of the block is 0.025 kg or 25 g, when the spring has k = 28 N/m, and compresses 0.11 m before bringing the block to rest.
When a block is dropped onto a spring with k=28 N/m, the block has a speed of 3.2 m/s just before it strikes the spring. If the spring compresses an amount of 0.11 m before bringing the block to rest, what is the mass of the block?The formula for the spring potential energy is given as follows; PE = (1/2) kx² where k is the spring constant and x is the amount of deformation of the spring. Substituting the values given;PE = (1/2) 28 (0.11)²PE = 0.16972 J. According to the law of conservation of energy, the potential energy stored in the spring at maximum compression is equal to the kinetic energy the block had before it struck the spring;KE = (1/2) mv²where m is the mass of the block and v is its velocity.Substituting the values;0.16972 = (1/2) m (3.2)²m = 0.025 kg or 25 gTherefore, the mass of the block is 0.025 kg or 25 g.For more questions on mass
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What causes coastal erosion
Answers
La erosión costera es la pérdida o desplazamiento de tierra, o la remoción a largo plazo de sedimentos y rocas a lo largo de la costa debido a la acción de olas, corrientes, mareas, agua impulsada por el viento, hielo transportado por el agua u otros impactos de marejadas ciclónicas.
A 1 000 kg car is pulling a 300 kg trailer. Together, the car and trailer move forward with an acceleration of 2. 15 m/s². Ignore any force of air drag on the car and all friction forces on the trailer. Determine (a) the net force on the car
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(a) A 1 000 kg car is pulling a 300 kg trailer, together the car and trailer move forward with an acceleration of 2. 15 m/s² the net force acting on the car (and trailer) is approximately 2,795 Newtons (N).
To determine the net force on the car, we can use Newton's second law of motion, which states that the net force acting on an object is equal to the product of its mass and acceleration.
The total mass of the car and trailer combined is the sum of their individual masses: 1,000 kg + 300 kg = 1,300 kg.
The acceleration of the car and trailer system is given as 2.15 m/s².
Using Newton's second law:
Net force = mass × acceleration
Net force = 1,300 kg × 2.15 m/s²
Net force ≈ 2,795 N
Therefore, the net force acting on the car (and trailer) is approximately 2,795 Newtons (N).
This net force is responsible for accelerating the combined mass of the car and trailer in the forward direction. It represents the sum of all external forces acting on the system, such as the force exerted by the car's engine and the tension in the connection between the car and trailer.
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