When the play button is pressed, a CD accelerates uniformly from rest to 470 rev/min in 5.0 revolutions. If the CD has a radius of 5.0 cm and a mass of 17g , the torque exerted on it is 8.45 × 10⁻⁴ N·m.
To find the torque exerted on the CD, we need to first determine its angular acceleration. We can do this using the following kinematic equation for angular motion:
ω² = ω₀² + 2αΔθ
where ω is the final angular velocity, ω₀ is the initial angular velocity, α is the angular acceleration, and Δθ is the angular displacement. Since the CD starts from rest, ω₀ = 0. We are given that the CD reaches 470 rev/min and covers 5 revolutions. First, we need to convert revolutions to radians and rev/min to rad/s:
ω = 470 rev/min * (2π rad/rev) * (1 min/60 s) ≈ 49.17 rad/s
Δθ = 5 rev * (2π rad/rev) = 10π rad
Now, we can solve for the angular acceleration:
49.17² = 0² + 2α(10π)
α ≈ 39.75 rad/s²
Next, we find the moment of inertia (I) for the CD, assuming it's a solid disk:
I = (1/2)MR²
where M is the mass (0.017 kg) and R is the radius (0.05 m). Calculate the moment of inertia:
I ≈ (1/2)(0.017)(0.05)² ≈ 2.125 × 10⁻⁵ kg·m²
Finally, we can calculate the torque (τ) using the equation:
τ = Iα
τ ≈ (2.125 × 10⁻⁵)(39.75) ≈ 8.45 × 10⁻⁴ N·m
Expressed using two significant figures, the torque exerted on the CD is approximately 8.5 × 10⁻⁴ N·m.
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a tennis ball mashine fires aball vertically upward at time t=0 at 19.6 m/s assume the air resistance is negligible and take g=9.8m/s^ calculate the displacement and velocity of the ball at t=1.0s,2.0s,3.0s and 4.0s
Answer:
See the answers below.
Explanation:
To solve this problem we must use the following equation of kinematics.
\(y=y_{o}+v_{o}*t+0.5*g*t^{2}\)
where:
y = final elevation [m]
yo = initial elevation = 0
vo = initial velocity = 19.6 [m/s]
t = time required [s]
g = gravity acceleration = 9.81 [m/s²]
Now we can replace the different times in the equation above.
For t = 1 [s]
\(y=0+(19.6*1)-0.5*9.81*(1^{2} )\\y = 14.7 [m]\)
For t = 2 [s]
\(y=0+(19.6*2)-0.5*9.81*(2^{2} )\\y = 19.58 [m]\)
For t = 3 [s]
\(y=0+(19.6*3)-0.5*9.81*(3^{2} )\\y = 14.7 [m]\)
For t = 4 [s]
\(y=0+(19.6*4)-0.5*9.81*(4^{2} )\\y = -0.08 [m]\)
We can see that the sign of gravitational acceleration is negative, since it points in the opposite direction to the motion of the launch.
Note when the time is equal to 4 seconds we see that the distance is 0, ie the tennis ball has reached its maximum height and begins to descend.
what is the work requird to lift a 215 kg mass a distance of 5.65 m using a machine that is 72.5% efficient?
The maximum work required by the machine is 16420 J.
What is work?Work is energy transferred to or from an object via the application of the force along with the displacement. Work is the standard mechanical quantity. In its simple form, for a constant force aligned with it direction of motions the work equals the product of the forced by the strength and to the distance traveled.
Here mass M is 215 kg
And the height lifted H is 5.65
The energy or workdone needed to lift is W= MgH = 215(9.8)(5.65)= 11904.5 J
The minimum efficiency of to the machine is 72.5 %
So we can write that
The workdone by machine is
11904.5(100/72.5) = 16420 J ( approx)
So the workdone by machine is 16420 J
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a student wants to show her class a model that demonstrates sound reflection. which model best represents what happens when sound waves are reflected?
A student intends to demonstrate sound reflection to her classmates using a model. The wave tank model is the best model to represent what occurs when sound waves are reflected.
A "ripple tank" is a shallow tank of water with a source of waves at one end, and a barrier that can be adjusted to cause reflection of the waves at the other end. This model shows the reflection of water waves, which are similar to sound waves, and the resulting interference patterns that can occur. By changing the height of the barrier, students can observe how the angle of incidence affects the angle of reflection, demonstrating the concept of sound reflection.
The ripple tank model provides a simple, visual demonstration that can help students understand the basic principles of wave behavior, including reflection, refraction, and diffraction.
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a 500 g glider hits and sticks to the 250 g glider, compressing the spring to a minimum length of 22 cm. what was the speed of the 500 g glider just before impact?
The speed of the 500 g glider just before impact was 0 m/s.
To answer this question, we need to use the equation of conservation of momentum:
Pi = Pf, where P is the momentum and i and f stand for initial and final, respectively.
We can express the momentum of each glider as m*v, where m is the mass of the glider and v is its velocity.
Therefore, m1*v1i + m2*v2i = m1*v1f + m2*v2f
Given the masses of the gliders, we can solve for v1i:
v1i = (m1*v1f + m2*v2f) / m1
Since the spring compressed to a length of 22 cm, the final velocity of both gliders will be 0 m/s, giving us the following equation:
v1i = (500 g * 0 m/s + 250 g * 0 m/s) / 500 g
v1i = 0 m/s
Therefore, the speed of the 500 g glider just before impact was 0 m/s.
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How much power will be required to force a current of 4.13 amps to flow through a conductor whose resistance is 113 ohms? Use two decimals for your answer. Round your answer to two decimals.
The power required to force the current of 4.13 A to flow through the conductor is 1927.43 watts
What is power?This is defined as the rate in which energy is consumed. Electrical power is expressed mathematically as:
Power (P) = square current (I²)× resistancet (R)
P = I²R
How to determine the powerCurrent (I) = 4.13 AResistance (R) = 113 ohmsPower (P) =?P = I²R
P = 4.13² × 113
P = 1927.43 watts
Thus, the power required is 1927.43 watts
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A force is applied to a 1 kg mass and produces
4.1 m/s
2
acceleration.
What acceleration would be produced by
the same force applied to a 13.4 kg mass?
Answer in units of m/s
2
.
The 2.4 m/s² acceleration would be produced by the same force applied to a 13.4 kg mass.
What is acceleration ?
The pace at which speed changes is known as acceleration. Acceleration typically, but not always, indicates a change in speed. Because the direction of an object's velocity is shifting even while it follows a circular course, it continues to accelerate.
What is force?
A body can change its state of rest or motion when an external force acts on it. It is directed and has a magnitude.
As we know that force= mass × acceleration
So F₁=m₁×4
F₂=m₂×6
now for combined system total acceleration will be "a"= F/ m₁+m₂
m₁= F/4
m₂= F/6
so put the value of m₁ and m₂
Therefore, 2.4 m/s² acceleration would be produced by the same force applied to a 13.4 kg mass.
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A student starts at x = 10 m and walks along the x-axis to x = 12 m. He then turns around and walks back to x = 4.5 m. What is the distance traveled by him, in meters?
The total distance traveled by the student is 9.5 meters.
The student walks from x = 10 m to x = 12 m,
Covering a distance of 2 m. Then, the student turns around and walks back from x = 12 m to x = 4.5 m, covering a distance of 7.5 m. Therefore, the total distance traveled is the sum of the distances covered in each direction, which is:
Total distance = 2 m + 7.5 m = 9.5 m
Since the student walks back and forth between the same two points, we do not need to multiply this distance by 2. Therefore, the student travels a total distance of 9.5 meters.
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if the total resistance of two motor windings connected in parallel is 20 ohms and 240v is applied to the circuit, how much current will flow?
The current I in the circuit will be 12A.
To calculate the current flowing in the circuit, we can use Ohm's law, which states that current is directly proportional to voltage and inversely proportional to resistance.
The total current flowing in the circuit is therefore given by Ohm's Law as:
I = V/R
where V is the voltage applied to the circuit and R is the total resistance of the two windings.
In this case, given that the voltage applied is 240V and the total resistance of the two windings is 20 ohms, the total current flowing in the circuit is given by:
I = 240/20 = 12A.
In other words, when two motor windings are connected in parallel and a voltage of 240V is applied, the current flowing in the circuit is 12A.
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A tugboat is pulling a barge into a harbor. The barge is exerting a force of 3000 N against the tugboat.
Available options are:
A. –4500 N
B. –2500 N
C. 2500 N
D. 4500 N
Answer:
-4500 N
Explanation:
Given that we have F₁ = 3000N? (force of the barge)
the force of the tugboat is F '
To pull the barge, the force of the tugboat must be greater than or equal to the force of the barge.
Hence, according to Newton's third law which states that for every action or force in nature, there is an opposite reaction.
Therefore considering the available option the correct answer is "- 4500N, " this is because it is greater than the force of the barge and it's in opposition to the force exerted.
Answer:
The answer is -4500 N
Explanation:
The acceleration due to gravity vector is always in the ____ direction.
An electron has a kinetic energy of 12.0 eV . The electron is incident upon a rectangular barrier of height 20.0eV and width 1.00nm . If the electron absorbed all the energy of a photon of green light (with wavelength 546 nm ) at the instant it reached the barrier, by what factor would the electron's probability of tunneling through the barrier increase?
If an electron with a kinetic energy of \(12.0 eV\)absorbs all the energy of a photon of green light (wavelength 546 nm) upon reaching a rectangular barrier of height \(20.0 eV\)and width 1.00 nm, the factor by which the electron's probability of tunneling through the barrier would increase can be calculated.
The probability of an electron tunneling through a barrier is influenced by the energy of the electron and the height and width of the barrier. Tunneling refers to the phenomenon where a particle can pass through a barrier despite lacking the classical energy to overcome it.
In this scenario, the energy of the incident electron \((12.0 eV)\) is lower than the height of the barrier \((20.0 eV)\). However, if the electron absorbs all the energy of a photon of green light (wavelength 546 nm), it gains additional energy equal to the energy of the absorbed photon.
The energy of a photon can be calculated using the equation\(E = hc/λ,\)where E is the energy, h is Planck's constant, c is the speed of light, and λ is the wavelength. By substituting the given wavelength of 546 nm, we can determine the energy of the absorbed photon.
Once the energy of the absorbed photon is determined, the new total energy of the electron can be calculated by adding the initial kinetic energy to the absorbed photon's energy. If this total energy is greater than the height of the barrier, the probability of tunneling through the barrier increases.
To calculate the factor by which the probability of tunneling increases, one would need additional information, such as the specific potential barrier profile and the mathematical model used to describe tunneling. Without this information, it is not possible to determine the exact factor.
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a ray of light is emitted from within an unknown substance that has a layer of air above it. the light is incident on the air-substance boundary at the critical angle and undergoes total internal reflection. what is the index of refraction of the unknown substance
The index of refraction of the unknown substance is approximately 1.00.
When light undergoes total internal reflection at the boundary between two media, it means that the angle of incidence is equal to or greater than the critical angle for that boundary. The critical angle can be determined using Snell's law:
n1 * sin(theta1) = n2 * sin(theta2)
In this case, the incident medium is the unknown substance, and the refractive index of air is approximately 1.00. When total internal reflection occurs, the angle of refraction, theta2, is 90 degrees (perpendicular to the boundary).
sin(theta2) = 1.00 (since sin(90 degrees) = 1.00)
Now, rearranging the equation and substituting the values, we have:
n1 * sin(theta1) = 1.00
The critical angle occurs when sin(theta1) is equal to 1, so:
n1 * 1 = 1.00
Simplifying the equation, we find
n1 = 1.00
Therefore, the index of refraction of the unknown substance is approximately 1.00.
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1. A block with a mass of 5.0 kg is pushed on a frictionless surface by applying a horizontal force of 80.0 N. The block starts from rest, and its final velocity is 12.6 m/s.
Answer:
397 j
Explanation:
Because 5.0kg yuh
The kinetic energy of the block with a mass of 5.0 kg is pushed on a frictionless surface by applying a horizontal force of 80.0 N. The block starts from rest, and its final velocity is 12.6 m/s is 396.9 J.
What is kinetic energy?A moving item or particle has a certain kind of power called kinetic energy. When an item exerts a net force to perform work, which involves the transfer of energy, the object accelerates and as a result, gains kinetic energy.
The amount of kinetic energy that a moving object or particle possesses is determined by both its mass and rate of motion. Any combination of vibration, axis rotation, translation (or movement along a path from one location to another), and translation are all possible motion types.
Given:
The mass of the block, m = 5 kg,
The horizontal force, F = 80 N,
The velocity of the block, v = 12.6 m / s,
Calculate the kinetic energy by the formula given below,
\(KE = 1/2mv^2\)
KE = 1 / 2 × 5 × 12.6²
KE = 1 / 2 × 5 × 158.6
KE = 396.9 J
Therefore, the kinetic energy of the block with a mass of 5.0 kg is pushed on a frictionless surface by applying a horizontal force of 80.0 N. The block starts from rest, and its final velocity is 12.6 m/s is 396.9 J.
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The complete question is A block with a mass of 5.0 kg is pushed on a frictionless surface by applying a horizontal force of 80.0 N. The block starts from rest, and its final velocity is 12.6 m/s. Find its kinetic energy?
Which one of these is NOT a rate:
A. 30 miles per gallon (of gasoline)
B. 5 seconds
C. 5 meters per second
D. 5 apples for $1
Answer:
The answer is B. 5 seconds.
What is the name of the album that is most frequently cited as the beginning of fusion?
The album that is most frequently cited as the beginning of fusion is "In a Silent Way" by Miles Davis. Released in 1969, it is often regarded as a groundbreaking and influential work that marked a significant shift in jazz and the emergence of fusion music.
"In a Silent Way" showcased a departure from Davis' previous acoustic jazz sound and incorporated elements of electric instruments, studio production techniques, and improvisational freedom. The album blended jazz with elements of rock, funk, and electronic music, creating a unique and experimental sonic landscape. The musicians involved in the recording, including Wayne Shorter, Herbie Hancock, and John McLaughlin, went on to become key figures in the fusion genre. This album laid the foundation for future fusion developments, influencing artists across various genres. Its atmospheric, ethereal, and exploratory nature set the stage for the fusion movement of the 1970s, which further integrated jazz with elements of rock, funk, and other genres. "In a Silent Way" remains a pivotal work in the history of fusion, symbolizing the fusion of diverse musical styles and the limitless possibilities of blending genres in innovative and creative ways.
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explain how the sum of heat and work can be a state function, even though heat and work are themselves not state functions.
The system's internal energy change (E) must equal the sum of the heat transferred (q) and the work performed (w), as stated in the first law of thermodynamics: E = q + w..
Work and heat do not have a state function.
The first law of thermodynamics states that the change in a system's internal energy is equal to the total of heat and work.
ΔU = w+q
ΔU = modification of internal energy
q= heat
W= work
ΔU=qv
Accordingly, qv is a state function in this scenario since qv stands for q measured at constant volume.
additional circumstance steady pressure
W = pΔV
Work on the environment (expanding) or the surrounds is working on the system (compressing), which results in a new state function called ΔH and a change in enthalpy.
Heat is a change in energy rather than a quantity of energy that is contained because heat q is the amount of thermal energy that enters or exits the system throughout a process.
Work is another phrase for an energy transformation. the environment's good influence on the system or the environment's detrimental influence on the system ( negative)
The path functions q and w
However, q+w combined is a state function.
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The SI unit of average speed m.s. True or False. But is there difference between m/s and m.s.
Answer:
false
Explanation:
there is difference in m/s and m.s
SOMEONE HELP ME PLEASE
Free is the movement of an object towards earth solely because of gravity.
What is freefall? Free fall is when objects falling near earth’s surface accelerate downward at rate of 9.8 m/s2.
Give an example of an object in free fall
The rate of increase of the Earth's gravity field at latitudes 30° and 60° are in the ratio
Answer:
1 : 2 (30 : 60)
Explanation:
The rate of increase of the Earth's gravity field at latitudes 30° and 60° are in the ratio 1 : 2 because 30 : 60 simplified is 1 : 2.
If the answer does not ask for the ratio to be simplified leave its as 30 : 60.
A circularly polarized wave, traveling in the positive z-direction, is incident upon a circularly polarized antenna. Find the polarization loss factor PLF (dimensionless and in dB ) for right-hand (CW) and left-hand (CCW) wave and antenna.
The polarization loss factor (PLF) for a circularly polarized wave incident upon a circularly polarized antenna can be calculated as the ratio of received power for matching polarization to the received power for mismatched polarization, expressed in dB. The PLF for right-hand circular polarization (RHCP) is 10 log10[(P_received (RHCP)) / (P_received (LHCP))], while the PLF for left-hand circular polarization (LHCP) is 10 log10[(P_received (LHCP)) / (P_received (RHCP))].
To find the polarization loss factor (PLF) for a circularly polarized wave incident upon a circularly polarized antenna, we need to consider the polarization mismatch between the wave and the antenna.
The PLF can be calculated as the ratio of the power received by the antenna when the polarization of the incident wave matches the polarization of the antenna, to the power received when the polarization is mismatched.
For a right-hand circularly polarized (RHCP) wave incident upon a circularly polarized antenna, the PLF in dB can be calculated using the formula:
PLF (RHCP) = 10 log10[(P_received (RHCP)) / (P_received (LHCP))]
Similarly, for a left-hand circularly polarized (LHCP) wave incident upon a circularly polarized antenna, the PLF in dB can be calculated using the formula:
PLF (LHCP) = 10 log10[(P_received (LHCP)) / (P_received (RHCP))]
Here, P_received (RHCP) refers to the power received by the antenna when the incident wave is RHCP, and P_received (LHCP) refers to the power received when the incident wave is LHCP.
The PLF value in dB indicates the level of power loss due to polarization mismatch. A lower PLF value indicates a better match between the polarization of the wave and the antenna.
Please note that the exact values of P_received for the RHCP and LHCP cases would depend on the specific characteristics of the wave and the antenna, which are not provided in the given information.
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An object of mass(0.8kg) is attached to massless string of length (2.0),and swung with a tangential velocity of (3.0m/s) what is the tension in the string?
Answer:
3.6 N
Explanation:
The magnitude of centripetal force in this case is equal to the magnitude of tension in the spring.
The formula is :
T= mv²/r ------where T is tension
m= mass of object =0.8 kg
v= velocity of object {tangential velocity} = 3.0 m/s
r= length of string = 2m
Applying the formula with real values;
T= mv²/r
T= {0.8 * 3²} / 2
T= { 7.2}/2 = 3.6 N
A baseball is dropped from the top of a 85 m tall building. Ignoring air resistance, how fast will it hit the ground?
Answer:
Since the baseball is dropped from rest (i.e., initial velocity of 0 m/s), we can use the kinematic equation that describes the relationship between distance, acceleration due to gravity, time, and final velocity:
distance = (1/2) * acceleration * time^2 + initial_velocity * time
Since the baseball starts from rest, the initial velocity is 0. We know the height of the building is 85 m, the acceleration due to gravity is 9.81 m/s^2, and we want to find the final velocity just before it hits the ground. We can use the kinematic equation to solve for time and then use time to find the final velocity:
distance = (1/2) * acceleration * time^2
85 = (1/2) * 9.81 * time^2
time^2 = 17.328
time = 4.166 s
Now we can use the kinematic equation to find the final velocity:
final_velocity = acceleration * time
final_velocity = 9.81 * 4.166
final_velocity = 40.9 m/s
Therefore, ignoring air resistance, the baseball will hit the ground with a velocity of approximately 40.9 m/s.
Some characteristics that are common to metals are that they are good conductors or heat and electricity , are malleable , and are often shiny (Have luster ) in which of the following groups would your expect every element to share these properties
A potassium (K) , chromium (fr) , and tellurium (Te)
B sodium (na), cobalt (Co) , and platinum (Pt)
C ruthenium (Ru) ,cooper (Cu), and radon (rn)
D oxygen (O) fluorine (F) and argon (Ar)
Answer:b
Explanation:
A wave has a frequency of 450 hz and a wavelength of 4 meters. At what velocity will this wave travel?.
Answer:-00=;op
Explanation:poop
Answer:
450 hz X 4 = 1800
Explanation: Speed =
Wavelength (4) X frequency (450)
Im not 100% sure though
A pilot heads his jet due east. The jet has a speed of 475 mi/h relative to the air. The wind is blowing due north with a speed of 40 mi/h. (Assume that the i vector points east, and the j vector points northwhat is the true direction of the jet? (round your answer to one decimal place.)
The true direction of the jet is approximately 4.8 degrees north of east.
To determine the true direction of the jet, we need to calculate the resultant velocity vector. We can start by representing the velocity of the jet and the wind as vectors using the i and j components.
The velocity vector of the jet is 475i (since it is heading due east) and the velocity vector of the wind is 40j (since it is blowing due north).
To find the resultant vector, we can add these two vectors using vector addition.
Resultant velocity vector = 475i + 40j
To find the direction of this vector, we need to use trigonometry. We can calculate the angle that this vector makes with the east using the arctangent function.
Angle = arctan(40/475)
Angle ≈ 4.8 degrees north of east
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A soccer ball is dropped from the top of a building. It takes 5.8 seconds to fall to the ground. The height of the building is.
Answer:
H=1 /2 gt^2= (10)(5.8)^2
17. which of these social media resources focuses primarily on tips for creating inclusive conte
o a. create accessible video and social media
o b. guide to writing for social media
o c. innovative uses of social media in emergency management
o d. digitalgov social media community of practice
social media nlatform allows a host of media content (photos, videos,
Although it may not cover the full range of inclusivity aspects, such as representation and cultural sensitivity, creating accessible content is an important step towards inclusivity on social media platforms.
Which social media resource focuses primarily on tips for creating inclusive content?Based on the options provided, none of them specifically mention focusing primarily on tips for creating inclusive content on social media.
However, if we were to analyze the options and determine the most relevant choice, the closest option would be option A, "Create accessible video and social media."
While option A does not explicitly mention inclusive content, creating accessible content is an essential aspect of inclusivity.
Accessibility involves ensuring that content can be accessed and understood by a wide range of users, including those with disabilities.
By focusing on creating accessible video and social media, this resource may provide tips on making content inclusive for people with visual impairments, hearing impairments, cognitive disabilities, and other accessibility needs.
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A 2. 9 kg model rocket accelerates at 15. 3 m/s2 with a force of 44 N. Before launch, the model rocket was not moving. After the solid rocket engine ignited, hot gases were pushed out from the rocket engine nozzle and propelled the rocket toward the sky. Which of Newton’s laws apply in this example? Select three options. The first law the second law the third law the fourth law the fifth law.
Answer:
The first law: the law of Inertia.
Explanation:
Newton’s first law states that if a body is at rest or moving at a constant speed in a straight line, it will remain at rest or keep moving in a straight line at constant speed unless it is acted upon by a force.
Answer:
1st, 2nd, & 3rd law
Explanation:
there is no 5th/4th law ppl
I did this question and it says SELECT 3 OPTIONS not 1 (This answer isn’t meant to be rude but just stating what the question says.)
according to psychological egoism, although most people are selfish, there are a few who can act out of either other or selfless interest.
Psychological egoism suggests that all behaviors are motivated by self-interest.
Mental egoism is the view that humans are usually prompted through self-interest and selfishness, even in what seem to be acts of altruism first, mental egoism is a theory approximately the nature of human reasons. mental egoism suggests that each one behavior is influenced by self-hobby.
Mental egoism refers back to the concept that self-interest motivates all human movements whilst moral egoism refers to the concept that everyone needs to/ought to be encouraged by way of self-interest for his or her moves.
A bigger hassle for psychological egoism is that some behavior no longer appears to be explained by means of self-concerning desires. Say a soldier throws himself on a grenade to save you and others from being killed.
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James has a mass of 98 kg and Basma has a mass of 59 kg. James is running at 3.0 m/s, while Basma is running at 4.0 m/s.
a. Who has the most momentum? Show how you arrived at your answer.
b. Basma approaches a road, so she stops quickly. It takes her 2.6 seconds to stop. What is the resultant force acting on her?
c. James also stops for the road. If he were to have the same resultant force acting on him, how long would it take for him to stop?
(a) James has the most momentum which is 294 kgm/s.
(b) The resultant force acting on Basma is 90.78 N.
(c) The time taken for James to stop is 3.2 seconds.
Momentum of each personMomentum of James: P = mv = 98 x 3 = 294 kgm/s
Momentum of Basma: P = mv = 59 x 4 = 236 kgm/s
Resultant force of BasmaF = ma = mv/t = P/t = 236/2.6 = 90.78 N
F = P/t
t = P/F
t = 294/90.78
t = 3.2 s
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