Consider two masses m1 and m2 connected by a thin string. Assume the following values: m1 = 4.2 kg and m2 = 1.0kg. Ignore friction and the mass of the string.
A: Find the acceleration of the two masses.
B: Changing the value of mass m1 while keeping mass m2 constant would change the acceleration of the two-mass system. What should be the value of mass m1 to get the largest possible value of acceleration of the two masses?
C: What would be the value of that maximum acceleration?
Answers
The acceleration of the masses are \(1.88 m/s^{2}\). The value of mass \(m_{1}\) is zero to get maximum possible acceleration which is equal to \(9.8 m/s^{2}\).
(A) The mass,\(m_{1} = 4.2 kg\) and mass, \(m_{2} = 1.0 kg\)
Let, the acceleration of mass \(m_{1}\) and \(m_{2}\) is \(a\) as shown in the figure given below.
\(T = m_{1} a - (i)\)
\(m_2 g -T = m_2 a -(ii)\)
Put value of \(T\) in equation \((ii)\) from equation \((i)\), we will get:
\(m_2 g - m_1 a = m_2 a\)
\(m_2 g = m_1 a + m_2 a\)
\(a = \frac{m_{1} }{m_{1} + m_{2} } g -(iii)\)
\(a= \frac{9.8}{4.2 + 1}\)
\(a = 1.88 m/s^{2}\)
(B) For maximum acceleration, \(\frac{da }{dm_{1} } = 0\)
\(\frac{d(\frac{m_{2} }{m_{1} +m_{2} }) }{dy} g = 0\)
\(\frac{m_{1} }{(m_{1} +m_{2})^{2} } = 0\)
\(m_{1} = 0\)
(C) Put value of \(m_{1} = 0\) in equation \((iii)\)
\(a = \frac{m_{1} }{m_{1} + m_{2} } g\)
\(a = g\)
\(a = 9.8 m/s^{2}\)
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Related Questions
red light has a wavelength of 6.80x102 nm. The energy of a photon of Red light is (in J) ? I keep getting 2.92e-19 but that's not the correct answer, it's 3.20e-19
Answers
A red light photon with a wavelength of 660 nm has energy equal to 3.01 x 10-¹⁹ J
The energy that a single photon carries is known as photon energy. Energy is inversely correlated with wavelength because it is directly proportional to the electromagnetic frequency of the photon. The energy of a photon increases with its frequency.
To determine the energy of photon, use the equation:
E = hc/ λ
Where,
E = the energy of photon
h = Planck's constant (6.626 x 10-³⁴ Js)
c = 2.998 × 10⁸ m/s
λ = wavelength (m)
Hence,
The energy of red light:
E = (6.626 x 10-³⁴ x 2.998 × 10⁸) / (660 x 10-⁹)
= 3.01 x 10-¹⁹ J
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What color should the sun be, based upon wiens law?
Answers
According to Wien's law, the color of the sun should be a bright white or slightly bluish-white. This is because Wien's law states that the peak wavelength of the sun's radiation is in the ultraviolet region, which corresponds to a color on the blue end of the visible spectrum.
However, since the sun emits radiation across a broad range of wavelengths, it appears as a bright white ball in the sky to the human eye.
Based on Wien's Law, the Sun's color is primarily white. Wien's Law helps determine the peak wavelength of radiation emitted by a black body, such as the Sun, based on its temperature. The Sun's surface temperature is around 5,500°C (9,932°F), which corresponds to a peak wavelength in the visible light spectrum, causing it to appear white to the human eye.
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* Question Completion Status: Moving to another question will save this response. Question 29 Which one of the following statements is not true? (choose all apply) O UV radiation is a type of ionizing
Answers
One statement that is not true is that UV radiation is a type of electromagnetic radiation. It is also a type of ionizing radiation. UV radiation is actually a form of non-ionizing radiation.
UV radiation, or ultraviolet radiation, is a type of electromagnetic radiation that falls between visible light and X-rays on the electromagnetic spectrum. It is often categorized into three types: UVA, UVB, and UVC. Unlike ionizing radiation, such as X-rays and gamma rays, which have enough energy to remove tightly bound electrons from atoms or molecules, UV radiation lacks the necessary energy to ionize atoms or molecules. Instead, it primarily interacts with the outermost electrons of atoms or molecules, leading to chemical reactions and causing biological effects.
UV radiation is commonly associated with sunlight and has various effects on living organisms and materials. It can cause sunburn, premature aging of the skin, and an increased risk of skin cancer. Exposure to excessive UV radiation can also damage the eyes and impair the immune system. It is important to protect oneself from excessive UV exposure by wearing sunscreen, protective clothing, and sunglasses.
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the work function of a metal is 1.96 ev. find the kinetic energy of the photoelectrons emitted when light of 320 nm falls on the metal. a. 5.83 ev c. 1.96 ev b. 1.91 ev d. 3.87 ev
Answers
The kinetic energy of the photoelectrons emitted when light of 320 nm falls on the metal is approximately 1.91 eV.
Hence, the correct option is B.
To calculate the kinetic energy of the photoelectrons emitted when light of a specific wavelength falls on a metal, we can use the equation:
Kinetic energy of photoelectrons = Energy of incident photons - Work function of the metal
First, we need to convert the given wavelength from nanometers (nm) to electron volts (eV) using the relationship:
Energy (in eV) = 1240 / Wavelength (in nm)
Given that the wavelength of the light is 320 nm, we can calculate the energy of the incident photons as follows:
Energy of incident photons = 1240 / 320
= 3.875 eV
Next, we can subtract the work function of the metal (1.96 eV) from the energy of the incident photons to find the kinetic energy of the photoelectrons:
Kinetic energy of photoelectrons = 3.875 eV - 1.96 eV
= 1.91 eV
Therefore, the kinetic energy of the photoelectrons emitted when light of 320 nm falls on the metal is approximately 1.91 eV.
Hence, the correct option is B.
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a solid cylinder has a mass of 5 kg and a radius of 30 cm. a torque of 40 nm is applied to the cylinder. what will be its angular acceleration?
Answers
A solid cylinder has a mass of 5 kg and a radius of 30 cm. a torque of 40 Nm is applied to the cylinder, then its angular acceleration 177.77 m/s^2.
Torque is a measure of the force that can cause an object to rotate about an axis. Just as force is what causes an object to accelerate in linear kinematics, torque is what causes an object to acquire angular acceleration. Angular acceleration is a quantitative expression of the change in angular velocity per unit time.
Let T be the torque, I be the Inertia and a be the angular acceleration.
In the angular form of Newton's second law, rotational inertia replaces mass and torque (tau) replaces force. The relationship between angular acceleration and torque is true when an object's rotational inertia is constant.
F = ma
T= I x a (1)
and I = 1/2 x M x R^2
I = 1/2 x 5 x (0.3)^2 Kgm^2
According to equation 1
a = T/I
a= 40/0.225 = 177.777 m/s^2.
Therefore, angular acceleration is 177.77 m/s^2.
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Please answer needed as soon as possible, will give brainlest...fill in the question mark area! No files, cant access on a school computer thank you!!!!
The advantage of using a machine is that we apply less ??? at the input for the work done at the output.
Answers
Answer:
That is because we apply less Work.
Brainliest?? I hope this helps!!!
Explanation:
A scientist wants to use a model to help present results of his detailed scientific investigation
Answers
Help me please……………..
Answers
Answer:
Explanation:
a. Arrow B is for the bigger person who is not active. 150J energy goes in, but only 10J is used in activity and the other 140J transforms to heat. The active smaller person uses 20J for activity, but needs only 100J/sec to keep their body working.
b. The diagrams both show that energy is conserved because the energy going in is equal to the sum of the energy transformed. For example, the top arrow shows: 100J = 20 J + 80 J
Transmittance varies ____ with absorptivity, path length, and concentration (see appendix b).
Answers
Transmittance varies exponentially with absorptivity, path length, and concentration (see appendix b). Transmittance is the degree to which a substance allows light or other electromagnetic radiation to pass through it.
In other words, Transmittance is a measure of how transparent a substance is to a particular kind of radiation. It's expressed as a percentage or decimal fraction. The absorptivity is the ability of a material to absorb a particular type of electromagnetic radiation or light. It is defined as the ratio of the radiant energy absorbed by the material to the total energy incident on the material. The path length is the distance through which the electromagnetic radiation passes through a substance or medium. Concentration refers to the amount of a particular substance in a given volume or mass of a mixture or solution.To summarize, transmittance varies exponentially with absorptivity, path length, and concentration.
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A group of students is investigating whether wheels affect the force of friction. The students push two boxes each with the same force on a table. One box has wheels and the
other does not have wheels. The distance traveled by each box is shown.
Experimental Observations
Student 1 Student 2 Student 3 Student 4
Distance traveled by box with wheels
24 cm
22 cm
20 cm
23 cm
Distance traveled by box without wheels
12 cm
14 cm
15 cm
13 cm
Which step should the students take next?
Make a hypothesis
Test another variable
Analyze the results
Share their conclusion
Answers
C. analyze the results....
a quarterback threw a football at 24 m/s at a 45 degree angle. if it took the ball 3.0 s to reach the top of its path, how long was it in the air?
Answers
A quarterback threw a football at 24 m/s at a 45 degree angle. if it took the ball 3.0 s time to reach the top of its path, it was 6 sec in the air.
Total time of flight = 2 × time to reach highest altitude.
= 2 × 3
Total time of flight = 6 sec.
The basis of the time-of-flight principle is the measurement of the amount of time it takes a wave to move from its source (a time sensor) to an object and back. You may determine the distance of that object from the source using this information along with some basic math and physics concepts (like wave propagation). While usually using light signals, either laser or LED, depending on the technology, numerous types of waves may be employed with various outcomes.
Time-of-flight imaging is one of many techniques for obtaining 3D images, along with others like stereoscopic cameras (which have two independent lenses to replicate depth perception) and structured light imaging (in which a structured image, like a grid, is projected onto an object).
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Which graph represents a nonlinear relationship?
A straight line runs from 0 0 sharply upward.
A graphs shows 0 to 6 numbered on the horizontal axis and 0 to 40 on the vertical axis. The graph shows an upward trend.
A graphs shows 0 to 6 numbered on the horizontal axis and 0 to 40 on the vertical axis. The graph shows an downward trend.
A graphs shows 0 to 6 numbered on the horizontal axis and 0 to 40 on the vertical axis. The graph shows a curved line runs down from 28 0 to 0 2, then straight to 0 4 then curving upward to 6 28.
Answers
Answer:
The correct answer is D.
Explanation:
Im pritty sure;)
Answer:
D
Explanation:
edge
Which legal measure allowed whites in southern states to keep blacks from voting after reconstruction ended?.
Answers
Jim Crow laws was the legal measure which allowed whites in southern states to keep blacks from voting after reconstruction ended.
What was JIm Crow law?These were the state and local laws which enforced racial segregation in the Southern part of the United States.
Due to this laws, whites in southern states kept blacks from voting after reconstruction ended.
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If the force of gravity pulling down, what is the reaction force?
D) The person standing up from the chair
B) The Chair pushing down on the ground
C) Nothing
A) The chair pushing up on the person
Answers
If the force of gravity pulling down, the reaction force is the chair pushing up on the person.
option A is the correct answer.
What is Newton's third law of motion?Newton's third law of motion states that for every action, there is an equal and opposite reaction.
For instance, If an object A exerts a force on object B, then object B must exert a force of equal magnitude and opposite direction back on object A.
If the force of gravity pulling down, the reaction force from the surface on which the object is resting will be acting upwards.
Thus, based on the Newton's third law of motion, we can conclude that when the force of gravity is acting downwards on an object the reaction force from the resting surface will be acting upwards.
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Use Newton's laws to explain why a falling object dropped from a 57m tower accelerates initially but then reaches constant velocity. Discuss the forces acting on the object
Answers
Answer:
At the point of dropping the object, by Newton's first law due to gravitational force \(F_g\) = m × g, accelerates
By Newton's Second law the object reaches impacts on the air with the gravitational force resulting in changing momentum of m×(Final Velocity - Initial Velocity)
As the velocity increases, the rate of change of momentum becomes equivalent to the gravitational force and by Newton's third law, the action action and reaction are equal and opposite hence they cancel each other out
The body then moves at a constant uniform motion down according to Newton's first law
Explanation:
At the point the object of mass, m, is dropped from the height of the tower, the only force acting on the object is the gravitational force such that the object has an acceleration which is the acceleration due to gravity, g, and the gravitational force is therefore = m × g
As the speed of the object increases while the object is falling with the gravitational acceleration the rate at which the object cuts through layers of air which (by Newton's first law of motion, are at rest ) has some buoyancy effect also increases therefore, the object is constantly increasingly changing the momentum of the air which by Newton's second law results, at an high enough velocity, and by Newton's third law, in a force equal to the applied gravitational force
Therefore, the force of the air drag becomes equal to the gravitational force, cancelling each other out and the object then moves according to Newton;s first law, in uniform motion of a constant speed while still falling down.
The light we see from the sun right this second left about____minutes ago.A. 2B. 8C. 60D. 120
Answers
ANSWER:
B. 8
STEP-BY-STEP EXPLANATION:
The time it takes for light to reach the earth can be calculated as follows.
We know the distance from the sun to the earth (150 million kilometers) and the speed of light (300 thousand kilometers per second), therefore:
\(\begin{gathered} v=\frac{d}{t} \\ \\ t=\frac{d}{v} \\ \\ t=\frac{150000000}{300000} \\ \\ t=500\text{ sec}\cdot\frac{1\text{ min}}{60\text{ sec}}=8.33\cong8\text{ min} \end{gathered}\)Which means that the correct answer is B. 8
The light we see from the sun right this second left about 8 minutes ago.
A plane is flying horizontally with speed 237 m/s at a height 1620m above the ground when a package is dropped for the plane. The acceleration of gravity is 9.8m/s2.What is the horizontal distance from the release point to the impact point.Answer in units of m
Answers
1. 0.5g*t^2 = 2010 m.
4.9t^2 = 2010.
t = 20.3 s. = Fall time.
D = Xo*t. = 193m/s * 20.3s = 3909 m.
2. V=sqrt(Xo^2+Yo^2)=sqrt(193^2+58^2) = 202 m/s.
3. Vo*t + 0.5g*t^2 = 2010 m.
58*t + 4.9*t^2 = 2010.
4.9t^2 + 58t - 2010 = 0.
Use Quadratic Formula.
t = 15.2 s. = Fall time.
D = 193m/s * 15.2s = 2934 m.
Meteoric material dates the formation of the solar system at about_____ billion years.
Answers
According to meteoric material, the solar system was formed around 4.6 billion years ago.
What substance makes up a meteorite?With just trace levels of sulphide and carbide minerals, they are primarily composed of iron-nickel metal. Many asteroids melted during the radioactive element decay in the early solar system, and the iron they carried, being dense, sank to the centre to create a metallic core.What is the term for meteorite metal?Meteoric iron, also known as meteoritic iron, is a native metal and a protoplanetary-disk remnant from the early universe that is found in meteorites. It is mostly composed of the metals iron and nickel, primarily in the crystalline phases kamacite and taenite.learn more about meteorite here
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i need help i don’t understand
Answers
Answer:
precise
Explanation:
im pretty sure
Differences in water temperature in the ocean create movement because
Answers
During a family car trip, a family travels for 1 hour at 70 miles per hour. Then the family travel for 2 more hours at 55 miles per hour. What is the family's average speed during the trip?
Answers
Answer:
The family travelled 180 miles for 3 hours with an average speed of 60mph.
Explanation:
We are given the formula; speed x time = distance.
First, we find that 70 x 1 = 70.
then, we find that 55 x 2 = 110
the family travelled (110 + 70) or 180 Miles.
Now, we use the formula to find average speed; Average Speed = Total Distance Traveled ÷ Total Time Taken
2 hours + 1 hour = 3 hours.
180 miles (distance) / 3 hours (time) = 60 miles/hour.
The family travelled 180 miles for 3 hours with an average speed of 60mph.
The density of sodium chloride (table salt) is 2.2 g/cm?. How much volume does 500 g of salt take up?
Answers
500 times 2.2 = 1,100
6. If a bicyclist, with initial velocity of zero, steadily gained speed until reaching a final velocity of 39m/s, how far would she travel
during the race in the same amount of time)?
Answers
Answer:
175 m
Explanation:
The average velocity for constant acceleration is the average of the beginning and ending velocities. That is (0+39)/2=19.5 m/s. If the bicyclist rides for 9 seconds, the distance traveled is ...
(9 s)(19.5 m/s) = 175.5 m
She would travel 175.5 meters in that time.
The distance traveled by the bicyclist at the same time period is 175.5 m.
Your question not complete, i believe it is missing this additional information below:
"Seven bicyclist are racing. Each bicyclist rides for 9s, If a bicyclist, with initial velocity of zero, steadily gained speed until reaching a final velocity of 39m/s, how far would she travel during the race in the same amount of time?"
The given parameter:
initial velocity of the bicyclist, u = 0
final velocity of the bicyclist, v = 39 m/s
time of motion of the each bicyclist, t = 9s
To find:
The distance traveled by the bicyclistLet the distance traveled by the bicyclist = s
The distance traveled by the bicyclist at the same time period is calculated as;
\(s = (\frac{u+v}{2} )t\\\\s = (\frac{0 + 39}{2} ) \times 9\\\\s = 19.5 \times 9\\\\s = 175.5 \ m\)
Thus, the distance traveled by the bicyclist at the same time period is 175.5 m.
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Given: NM 1 XZ
Prove: AXYZ- ANYM
N
Try 11
X
Z
M
We know that side NM is
to side
XZ. If we consider side NY the transversal for these
parallel lines, we create angle pairs. Using the
we can state
that YXZ is congruent to YNM. We know that angle
XYZ is congruent to angle
by the reflexive
property. Therefore, triangle XYZ is similar to triangle
NYM by the
similarity theorem.
F
Answers
The prove of Angle XYZ- Angle NYM is given below:
∠XYZ is congruent to ∠NYM - reflexive property. ΔXYZ is the same with Δ NYM,- AA (angle-angle) similarity theorem.What is the triangle about?Note that from the image given;
NM // XZNY = transversal line∠YXZ ≡ ∠YNMSince ∠XYZ is said to be congruent to ∠NYM it can be proven by the use of the reflexive property.
The reflexive property is one that informs that any shape is regarded congruent to itself.
Since ∠NYM has a different way to call ∠XYZ that uses a different vertexes, but the sides are made up of the two angles which are said to be the same.
Therefore , ∠XYZ ≡ ∠NYM are proved by the reflexive property.
Since ΔXYZ is the same with Δ NYM, it can be proven by the AA (angle-angle) similarity theorem.
We have 2 angles Δ XYZ and Δ NYM:
Note that ∠YXZ ≡ ∠YNM
∠XYZ ≡ ∠NYM
So, ΔXYZ is said to be the same to ΔNYM and it is proven by the AA similarity theorem.
Therefore, The prove of Angle XYZ- Angle NYM is given below:
∠XYZ is congruent to ∠NYM - reflexive property. ΔXYZ is the same with Δ NYM,- AA (angle-angle) similarity theorem.Learn more about triangles from
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Answer:
1. parrael
2. corresponding angles theorem
3. NYM
4. AA
Explanation:
just took it
an object falls from a high building and hits the ground in 9.0 seconds.ignoeing air resistance,what is the distance that it fell?
Answers
Answer:
kinematic eq. d = Vi*t + 1/2a*\(t^{2}\)
Explanation:
Vi=0
d=1/2 a*\(t^{2}\)
d= 1/2(9.8)\(0.9^{2}\)
d=3.969 m
The distance from which the object falls is 393.9 meters.
Given that, an object falls from a high building and hits the ground in 9.0 seconds and air resistance = 0
So the distance can be calculated by the formula given below.
\(s = vt + \dfrac{1}{2} at^2\)
Where, \(s\) is the distance in meters, \(t\) is time (in seconds) taken by the object in motion, \(a\) is the acceleration of the object in meter per second square and \(v\) is the final velocity in meter per second.
In this case, object falls from high building to the ground so the final velocity would be zero. Gravitational acceleration is -9.8 meter per second square.
Substituting the values in the above formula,
\(s = (9.0\times0) + \dfrac{1}{2}(-9.8\times(9.0)^2)\\s = 0 + (-9.8\times81\times0.5)\\s = 396.9 \;\rm m\)
The distance from which the object falls is 393.9 meters.
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Describe an activity to demonstrate magnetic induction.
Answers
If a crane lifts a load of 75N to a height of 20m in 100s, what is the power of the crane?
Answers
Answer:
P = 15 [W]
Explanation:
Power is defined as the relationship between work over a certain time.
In this way we must calculate the work which is defined as the product of force by distance.
\(W=F*d\\W=75*20\\W=1500[J]\)
And the power.
\(P=W/t\\P=1500/100\\P=15[W]\)
Power given in units of watts.
quick help pleasee enough pointsss
Answers
The strength of the magnet is strongest at point A.
What is the strength of magnetic field?The strength of a magnetic field measures the effect of magnetic force per unit charge in a given magnetic field.
The strength of a magnetic field can also be called magnetic field strength.
For every given bar magnet, the strength of a magnetic field is greatest at the poles and weakest at the middle way from the pole.
For the given bar magnet, the strength of the magnet is strongest at point A, followed by point B, and D, while the least is point C.
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a sample o aluminum is put in 10.5 mL of water. if the water rises to 13.5 mL when the aluminum is added, what is the density of the aluminum if it has a mass of 8.1 g
Answers
Answer:
The answer is 2.7 g/mLExplanation:
The density of a substance can be found by using the formula
\(density = \frac{mass}{volume} \\ \)
volume = final volume of water - initial volume of water
volume = 13.5 - 10.5 = 3 mL
From the question we have
\(density = \frac{8.1}{3} \\ \)
We have the final answer as
2.7 g/mLHope this helps you
Bob is pulling a 30 kg filing cabinet with a force of 200 N , but the filing cabinet refuses to move. The coefficient of static friction between the filing cabinet and the floor is 0.80
Part A
What is the magnitude of the friction force on the filing cabinet?
Express your answer to two significant figures and include the appropriate units.
Answers
The applied force, F, and the friction force, f, act on the cabinet in the direction of motion (x-axis). Therefore,
F + (-f) = mg
Now, by using the formula for static friction :
f = mg
f = (0.80)(30)(9.8)
f = 235.2 kg m/s² or,
Therefore, the magnitude of the friction force is 235.2 N.
What do you mean by static friction?Static friction is a force that holds an object at leisure. It is the friction encountered when individuals try to move a fixed object on a surface without initiating any relative motion between the body and the surface on which it is.
How can you define static force?A force acting on an object is static force if it does not change that particular object's size, position, or direction. The force involved in a structure acts as a load to that precise structure. This is why static force is also known as a static load.
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