The 4.00 kg block is attached to a vertical rod by means of two strings. When the system rotates about the axis of the rod, the strings are extended as shown in the (Figure 1) and the tension in the upper string is 78.0 N. Find the number of revolutions per minute at which the lower cord just goes slack.?
Answers
The number of revolutions per minute at which the lower cord just goes slack is approximately 38.2 rpm.
To solve this problem, we need to use the concept of centripetal force and tension in the strings. When the lower string just goes slack, the tension in the string is zero and the centripetal force required for circular motion is provided only by the weight of the block.
We can start by calculating the weight of the block using the formula:
[tex]F_g[/tex] = m * g
Where [tex]F_g[/tex] is the weight, m is the mass, and g is the acceleration due to gravity. Substituting the given values, we get:
[tex]F_g[/tex] = (4.00 kg) * (9.81 m/s²) = 39.24 N
Since the tension in the upper string is 78.0 N, the net force acting on the block is:
[tex]F_{net}[/tex] = T - [tex]F_g[/tex] = 78.0 N - 39.24 N = 38.76 N
This net force provides the centripetal force required for circular motion, given by the formula:
[tex]F_{cp}[/tex] = m * v² / r
Where [tex]F_{cp}[/tex] is the centripetal force, m is the mass, v is the velocity, and r is the radius of rotation. Since we are asked to find the number of revolutions per minute, we can convert this to radians per second using the conversion factor:
1 revolution = 2π radians
1 minute = 60 seconds
Substituting the given values, we get:
Fcp = (4.00 kg) * v² / r
38.76 N = (4.00 kg) * v² / r
Solving for v²/r, we get:
v² / r = 38.76 N / 4.00 kg
v² / r = 9.69 m/s²
Next, we can use the fact that the length of the upper string is twice the length of the lower string to find the radius of rotation:
2l + l = 3l = r
Where l is the length of the lower string. Substituting the given values, we get:
3l = r = 0.600 m
Finally, we can substitute this value into the equation for v²/r to get:
v² / (0.600 m) = 9.69 m/s²
v² = 5.814 m²/s²
v = 2.41 m/s
To convert this to radians per second, we multiply by 2π and divide by the circumference of the circle:
ω = 2πv / (2πr) = v / r = 2.41 m/s / 0.600 m = 4.02 rad/s
To find the number of revolutions per minute, we can multiply this by the conversion factor:
1 radian per second = 60 / 2π revolutions per minute
N = (4.02 rad/s) * (60 / 2π) = 38.2 rpm
To know more about tension, here
https://brainly.com/question/15880959
#SPJ1
Related Questions
similarities and differences between a lunar eclipse and the disappearing sun. HELP FAST
Answers
Answer: A solar eclipse results when the moon passes in between the earth and the sun hiding the sun fully or partly for some time. A lunar eclipse occurs when the earth passes in between the moon and the sun casting its shadow on the moon and thus hiding it fully or partly for some time.
7. A 5.0 m ladder is placed so that it leans against a wall so that the end of the ladder is 4.0 m up
the wall. If the ladder has a mass of 12.0 kg and a 45.0 kg person climbs the ladder so that they
are standing at the 3.75 m point on the ladder, what is the force that the ground exerts on the
ladder so that it remains in equilibrium?
Answers
Because the horizontal fraction of ground-generated pressure (F_ground) corresponds to F_wall, it is reasonable to assume that the duration of ground influence on the ladder is roughly 481.55 N in magnitude.
How to solveThe ladder's grounding point on the wall is 3.0 m away with the application of the Pythagorean theorem. By analyzing the torque at the ladder's foundation and surveying its diversified forces, we can derive estimates:
• The person's strength (F_person), determined by 45.0 kg * 9.81 m/s^2 calculations, is approximately 441.45 N when applied to a length of 3.75 m.
• The ladder's mass-based force (F_ladder), calculated as 12.0 kg * 9.81 m/s^2, is about 117.72 N exerted upon a distance of 2.5 m.
• Atop the ladder falls the wall's upward-directed push action- referred to as F_wall- which operates at an elevation of 4.0m from the earth's plane.
To ensure compliance: Equilibrium occurs if the equation (3.75 m * 441.45 N) + (2.5 m * 117.72 N) - (4.0 m * F_wall) equals zero.
Thus, F_wall ≈ 481.55 N after resolving the problem mathematically.
Additionally, because the horizontal fraction of ground-generated pressure (F_ground) corresponds to F_wall, it is reasonable to assume that the duration of ground influence on the ladder is roughly 481.55 N in magnitude.
Read more about equilibrium here:
https://brainly.com/question/517289
#SPJ1
130% 00 1. A 345 g of copper is hanged on a spring wire of 30 cm in diameter as a result, the spring stretches from 75 cm to 80 cm. (8 marks)
1.1. What is the stress of the spring?
1.2 What is the strain of the spring?
1.3 What is the young's modulus of the spring?
1.4 Calculate the spring constant.
Answers
1. Stress (σ) = Force (F) / Area (A)
2. Strain (ε) = Change in Length (ΔL) / Original Length (L)
3. Young's Modulus (E) = Stress (σ) / Strain (ε)
4. Spring Constant (k) = Force (F) / Extension (x)
First, we need to find the force exerted by the copper on the spring wire. We can use the formula:
Force (F) = mass (m) x gravity (g)
where mass (m) = 345 g = 0.345 kg, and gravity (g) = 9.81 m/s^2.
Therefore, F = 0.345 kg x 9.81 m/s^2 = 3.38 N.
1.1. The stress of the spring is:
σ = F / A
where A is the area of the spring wire. The diameter of the spring wire is 30 cm, which gives a radius of 15 cm or 0.15 m. Therefore, the area of the wire is:
A = πr^2 = π(0.15 m)^2 = 0.0707 m^2.
Thus, the stress of the spring is:
σ = 3.38 N / 0.0707 m^2 = 47.8 N/m^2.
1.2. The strain of the spring is:
ε = ΔL / L
where ΔL is the change in length of the spring and L is the original length of the spring. The spring stretches from 75 cm to 80 cm, which gives a change in length of:
ΔL = 80 cm - 75 cm = 0.05 m.
The original length of the spring is half the distance it stretches when holding the copper, or:
L = (75 cm + 80 cm) / 2 = 77.5 cm = 0.775 m.
Thus, the strain of the spring is:
ε = 0.05 m / 0.775 m = 0.0645.
1.3 The Young's modulus of the spring is defined as the ratio of stress to strain. We have already calculated the stress and strain of the spring in the previous parts of the question. So the Young's modulus of the spring is:
Young's modulus (E) = stress (σ) / strain (ε)
E = 47.8 N/m^2 / 0.0645 = 740.9 N/m^2
Therefore, the Young's modulus of the spring is 740.9 N/m^2.
1.4 The spring constant is defined as the ratio of the force applied to the spring to the resulting extension. We have already calculated the force applied to the spring in the previous parts of the question. To calculate the spring constant, we need to find the extension of the spring.
The extension of the spring is the difference between the final length and the original length. The original length of the spring is half the distance it stretches when holding the copper, or:
Original length (L) = (75 cm + 80 cm) / 2 = 77.5 cm = 0.775 m
The final length of the spring when holding the copper is 80 cm. So the extension of the spring is:
Extension (x) = Final length - Original length
x = 80 cm - 77.5 cm = 2.5 cm = 0.025 m
Therefore, the spring constant is:
Spring constant (k) = Force (F) / Extension (x)
k = 3.38 N / 0.025 m = 135.2 N/m
Therefore, the spring constant is 135.2 N/m.
A laboratory measurement finds 200 μg of hemoglobin per μL of blood. Hemoglobin, the blood protein that transports oxygen, has a molecular weight of 64 kDa or 64,000 u , where 1 dalton ( Da ) = 1 atomic mass unit ( u ) = 1.66×10^−24g . Estimate the number of hemoglobin proteins in one red blood cell. Express your answer in hemoglobin per red blood cell.
Answers
One red blood cell contains an estimated 251 molecules of haemoglobin, according to our estimation.
What size does a red blood cell typically have?The average red blood cell has a diameter of 6 to 8 micrometres, according to the American Society of Haematology, and a volume of 113-268 μm³ or 113-268x10⁻¹² L.
Let's first change the haemoglobin concentration from grammes per litre to grammes per litre so that it has the same units as the molecular weight:
200 μg/μL x 1 g/1000 μg x 10⁶ μL/L = 0.2 g/L
Next, let's translate hemoglobin's molecular weight from kDa to grammes per molecule:
64 kDa x 1000 Da/kDa x 1.66x10⁻²⁴ g/Da = 1.06x10⁻²⁰ g/molecule
Using Avogadro's number, we can now determine how many haemoglobin molecules are present in a single litre of blood ([tex]6.022*10^{23}[/tex] molecules/mol): 0.2 g/L x 1 mol/1.06x10⁻²⁰ g x [tex]6.022*10^{23}[/tex] molecules/mol = 1.13x10¹⁵ molecules/L.
Divide the total number of molecules in 1 litre of blood by the volume of red blood cells to get the amount of haemoglobin molecules per red blood cell. The typical red blood cell count range, according to the American Society of Haematology, is between 4.5-5.5 million cells/L, which translates to 4.5-5.5x10¹² cells/L.
When we divide the quantity of red blood cells in 1 L by the quantity of haemoglobin molecules, we get:
1.13x10¹⁵ molecules/L / 4.5x10¹² cells/L = 251 Red blood cell haemoglobin molecules, rounded to the closest integer.
To know more about hemoglobin, visit:
brainly.com/question/15011428
#SPJ1
An incandescent lamp is written: 12 V, 2 A. What is the resistance of the filament of this lamp in working condition?
Answers
Answer:
The resistance is 6 ohms
Explanation:
V = 12V
I = 2A
Use ohm's law:
R = V / I
R = 12V / 2A
R = 6 ohms
b) An iron block of mass 4kg rest on an aluminium platform. A horizontal force of 20N is applied to the block. The coefficient of limiting friction between the two surfaces is 0.6. i) Will the block move? ii) If it moves, what will be its acceleration.
Answers
The block won't move since the applied force of 20 N is less than the maximum frictional force of 23.52 N.
How can I calculate the friction force between the blocks at its maximum?When an object is on a rough surface, friction is a force that acts in the opposite direction from the direction of motion. FMAX=R F MAX = R where is the coefficient of friction and R is the normal reaction between the two surfaces is the maximum or limiting value of friction between two surfaces.
[tex]F_gravity = m * g[/tex]
[tex]F_norm = F_gravity = m * g = 4 kg * 9.8 m/s^2 = 39.2 N[/tex]
[tex]F_friction = 0.6 * 39.2 N = 23.52 N[/tex]
To know more about force visit:-
https://brainly.com/question/13191643
#SPJ1
Many chemical reactions release energy. Suppose that at the beginning of a reaction, an electron and proton are separated by 0.115 nm , and their final separation is 0.105 nm . How much electric potential energy was lost in this reaction (in units of eV)?
Answers
The electric potential energy lost in this reaction is approximately 2.81 eV.
What is potential energy?
To calculate the electric potential energy lost in this reaction, we first need to calculate the difference in electric potential energy between the initial and final states. We can use the following formula to calculate electric potential energy:
E = kq1q2/r
where E is the electric potential energy, k is Coulomb's constant (8.99 x [tex]10^{9}[/tex] N*m²/C²), q1 and q2 are the charges of the two particles, and r is the separation distance between them.
In this case, we have an electron and a proton, which have charges of -1.602 x [tex]10^{-19}[/tex] C and +1.602 x [tex]10^{-19}[/tex] C, respectively. The initial separation distance is 0.115 nm, which is 1.15 x [tex]10^{-10}[/tex] m, and the final separation distance is 0.105 nm, which is 1.05 x [tex]10^{-10}[/tex] m.
So, the initial electric potential energy is:
E_initial = kq_electronq_proton/r_initial
= (8.99 x [tex]10^{9}[/tex] N*m²/C²) * (-1.602 x [tex]10^{-19}[/tex] C) * (1.602 x [tex]10^{-19}[/tex] C) / (1.15 x [tex]10^{-10}[/tex] m)
= -1.44 x [tex]10^{-18}[/tex] J
And the final electric potential energy is:
E_final = kq_electronq_proton/r_final
= (8.99 x [tex]10^{9}[/tex] N*m²/C²) * (-1.602 x [tex]10^{-19}[/tex] C) * (1.602 x [tex]10^{-19}[/tex] C) / (1.05 x [tex]10^{-10}[/tex] m)
= -1.89 x [tex]10^{-18}[/tex] J
The electric potential energy lost in this reaction is:
ΔE = E_final - E_initial
= (-1.89 x [tex]10^{-18}[/tex] J) - (-1.44 x [tex]10^{-18}[/tex] J)
= -0.45 x [tex]10^{-18}[/tex] J
To express the electric potential energy lost in units of eV, we can use the following conversion factor:
1 eV = 1.602 x [tex]10^{-19}[/tex] J
So, the electric potential energy lost in this reaction is:
ΔE = (-0.45 x [tex]10^{-18}[/tex] J) / (1.602 x [tex]10^{-19}[/tex] J/eV)
= -2.81 eV
Therefore, the electric potential energy lost in this reaction is approximately 2.81 eV.
To know more baout electric potential energy, visit:
https://brainly.com/question/16267680
#SPJ1
A wave has a frequency of 11 Hz and a wavelength of 9 meters
what is the speed of the wave
Answers
The speed of the wave is 99 meters per second.
What is Wave?
A wave is a disturbance or variation that travels through a medium or space, transferring energy without the net movement of matter. Waves can occur in various forms, such as mechanical waves that require a medium for propagation (e.g., sound waves, water waves) or electromagnetic waves that can travel through a vacuum (e.g., light waves, radio waves).
The speed of a wave can be calculated using the formula:
speed (v) = frequency (f) x wavelength (λ)
Given that the frequency (f) is 11 Hz and the wavelength (λ) is 9 meters, we can plug these values into the formula to calculate the speed of the wave:
v = 11 Hz x 9 meters
v = 99 meters per second
Learn more about Wave from the given link
https://brainly.com/question/25699025
#SPJ1
A water wave travels a distance of 30m in 15s. What is the wave's speed in m/s?
Answers
substitute d = 30 into formula
v = 15 d = v x t
30 = 15t
30/15 or 30 over 15 fraction :)
simplify
=
2
answer = 2
I hope this helps, this is what I know, I'm sorry if it's wrong :(
Under a pressure of 862 Pa, a gas has a volume of 752 L. The pressure is increased, without changing the temperature, until the volume is 624 L. What is the new pressure?
Answers
Claims that if temperature is kept constant, the end result of both volume and pressure is constant. The new level is 1036 Pa, which is how this can be expressed.
How does pressure work?So either a strong force or a strong force applied over a short area can cause a lot of pressure. When we stand up compared to when we are walking, more of our feet are in proximity to the earth. Pressure would be lower if there was more surface area in contact.
Describe a force?An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude. There are both living things and non-living objects in the concept of a force.
To know more about force visit :
https://brainly.com/question/13191643
#SPJ1
if it took her 2.7 seconds to lift the lawnmower, how much power did she output
Answers
Answer:
N/A
Explanation:
The following formula can be used to compute the power output of a person lifting a lawnmower:
Work (W) / Time (t) = Power (P).
Where:
Work (W) is defined as the force used to lift the lawnmower multiplied by the distance traveled (i.e., work done against gravity).
Time (t) is the amount of time it takes to lift the lawnmower.
To determine the power output, however, we would need to know the force used to lift the lawnmower as well as the distance it was lifted. We won't be able to provide an accurate power output value without this information.
What affects how much gravitational force the objects will exert on each other? O A. the objects' masses and the distance between them O B. O C. Object 1 the objects' shapes and colors the objects' masses and their surface areas O D. the objects' surface areas and distance between them
Answers
The objects' masses and the distance between them affects how much gravitational force the objects will exert on each other. Hence option A is correct.
Gravitational force is force of attraction between two masses. Gravitational force(F) between two bodies is directly proportion to the product of masses(m₁,m₂) of two bodies and inversely proportional to square of distance(r) between them. mathematically it is written as,
F ∝ m₁.m₂
F ∝ 1/r²
F = G m₁,m₂÷r²
where G is gravitational constant, whose value is 6.6743 × 10⁻¹¹ m³ kg-1s⁻².
Force is expressed in Newton N in SI unit. its dimensions are [M¹L¹T⁻²].
This is analogous with coulomb's law which gives force between two charges.
To know more about Gravitational Force :
https://brainly.com/question/12528243
#SPJ1.
find a recent (less than 5 years old) article addressing some aspect of
environmental science that we have covered so far this year.
Answers
"Greenland ice sheet melting at alarming rate of 8,300 tonnes per second" is a recent article addressing some aspect of environmental science that we have covered so far this year.
This article, published in The Guardian in January 2021, addresses the melting of the Greenland ice sheet, which is a topic covered in environmental science. The article highlights a new study that found the ice sheet is melting at a rate of 8,300 tonnes per second, which is seven times faster than in the 1990s.
The melting of the Greenland ice sheet contributes significantly to rising sea levels and could have disastrous consequences for coastal communities worldwide. The article discusses the causes and potential consequences of this rapid melting, as well as the urgent need for action to mitigate climate change and its effects. This topic relates to the study of climate change, the cryosphere, and the impacts of human activity on the environment.
To learn more about environmental science, here
https://brainly.com/question/4593618
#SPJ1
A weather balloon used by meteorologists is made of a flexible bag that allows the gas inside freely expand. If a weather balloon containing 25.0 m^3 of helium gas  is released from sea level, what is the volume of gas when the balloon reaches a height of 2100 m, where the pressure is 0.82×10^5 PA? Assume the temperature is unchanged. 
Answers
The volume of the helium gas in the weather balloon, when it reaches a height of 2100 m, is 30.85 m^3.
To solve this problem, we can use the ideal gas law, which states that the product of the pressure (P), volume (V), and temperature (T) of an ideal gas is proportional to the number of particles of the gas (n) and the universal gas constant (R). Since the temperature is assumed to be constant, we can write:
P1V1 = P2V2
where P1 and V1 are the initial pressure and volume of the helium gas, and P2 and V2 are the pressure and volume at a height of 2100 m.
At sea level, the pressure is approximately 1.01×10^5 Pa, so we have:
P1 = 1.01×10^5 Pa
V1 = 25.0 m^3
At a height of 2100 m, the pressure is 0.82×10^5 Pa, so we can solve for V2:
P1V1 = P2V2
V2 = (P1*V1)/P2
V2 = (1.01×10^5 Pa * 25.0 m^3) / (0.82×10^5 Pa)
V2 = 30.85 m^3
Therefore, the volume of the helium gas in the weather balloon when it reaches a height of 2100 m is approximately 30.85 m^3.
To learn more about the ideal gas law click:
https://brainly.com/question/30458409
#SPJ1
What barriers do you currently face that interfere with your personal performance? What are your plans to address these barriers?
I need some examples, help me Guys, please
Answers
Personally, the barriers I face that interfere with my performance are:
Lack of motivationLack of resourcesPhysical health issuesPersonal and environmental distractionThese can all be addressed by
Setting clear goalsSeeking support when necessaryDeveloping healthy habitsManaging distractionsMore details on the barriers and how to address themPeople can face various barriers that can interfere with their personal performance. Some of the common barriers that people face include:
Lack of motivation or direction: People may struggle with finding motivation or a clear direction for their goals, which can hinder their personal performance.
Lack of resources: People may face financial or other resource constraints that limit their ability to pursue their goals or develop their skills.
Physical or mental health issues: Physical or mental health issues can impact a person's ability to perform at their best, affecting their energy levels, focus, and overall well-being.
Personal or environmental distractions: People may be distracted by personal or environmental factors such as noise, social media, or family obligations that can interfere with their ability to focus on their goals.
To address these barriers, there are various plans that people can take, such as:
Setting clear goals: By setting specific and measurable goals, people can have a clearer sense of direction and motivation for their personal performance.
Seeking support: People can seek support from friends, family, or professionals to help them overcome resource or health-related barriers.
Developing healthy habits: Practicing healthy habits such as exercise, mindfulness, and good sleep hygiene can improve physical and mental health and increase energy and focus.
Managing distractions: People can create an environment that is conducive to their personal performance by minimizing distractions, prioritizing their time, and creating routines that support their goals.
Overall, addressing these barriers requires a combination of self-reflection, planning, and taking action to overcome obstacles and achieve personal growth and success.
Learn more about barriers here:
https://brainly.com/question/18757530
#SPJ1
A quarterback throws a pass at an angle of 35° above the horizontal with an initial speed of 25 m/s. The ball is caught by the receiver 2.55 seconds later. Determine the distance the ball was thrown.
Answers
The distance the ball was thrown is 52.22m by A quarterback throws a pass at an angle of 35° above the horizontal with an initial speed of 25 m/s. The ball is caught by the receiver 2.55 seconds later.
How to calculate distance?Every motion under constant acceleration is projectile motion
Angle above horizontal Ф = 35°, initial speed v1 = 25m/s , time 2.55s
Substituting value in the below equation
x=x₁ + (v₁*cosθ)(t)+1/2 *a*t²
a= 0 as acceleration in horizontal direction is zero
x= 25*cos(35)*2.55
x=52.22 m
Projectile motion is a form of motion in which object influenced when it is launched into the gravitational force from the surface of Earth along a curved path.
For more information on projectile motion kindly visit to
https://brainly.com/question/11049671
#SPJ1
A concave mirror is designed so that an object 1.0 m in
front of it produces a real image at a distance of 1.6 m in
front of the mirror. What is the radius of curvature of the
mirror?
Answers
Answer:
We can use the mirror equation to find the radius of curvature of the mirror.
The mirror equation is:
1/f = 1/d₀ + 1/dᵢ
where f is the focal length of the mirror, d₀ is the object distance, and dᵢ is the image distance.
In this problem, we are given:
d₀ = 1.0 m
dᵢ = 1.6 m
We need to find f, and then we can use the relationship between f and the radius of curvature R to find R.
From the mirror equation, we can rearrange to solve for f:
1/f = 1/d₀ + 1/dᵢ
1/f = 1/1.0 + 1/1.6
1/f = 1.6/1.0 * 1/2.6
f = 0.615 m
Now, we can use the relationship between f and R to find R:
f = R/2
R = 2f = 2 * 0.615 m = 1.23 m
Therefore, the radius of curvature of the concave mirror is 1.23 m.
a ball hits the wall and reverses courses. According to newtons 3rd law which of these must be true
Answers
The ball exerts a force on the wall, and the wall exerts an equal and opposite force on the ball. So, the correct answer is A.
Newton's 3rd law of motion states that for every action, there is an equal and opposite reaction. The action is the force that the ball exerts on the wall, and the reaction is the force that the wall exerts back on the ball. When the ball hits the wall, it exerts a force on the wall. This force is equal in magnitude but opposite in direction to the force that the wall exerts back on the ball. This is why the ball reverses course. Therefore, option A is correct.
To know more about Newton's 3rd law of motion, here
https://brainly.com/question/30763639
#SPJ1
--The complete Question is, Which of the following statements is true according to Newton's 3rd law when a ball hits a wall and reverses course?
A) The ball exerts a force on the wall, and the wall exerts an equal and opposite force on the ball.
B) The ball exerts a force on the wall, but the wall does not exert a force on the ball.
C) The wall exerts a force on the ball, but the ball does not exert a force on the wall.
D) The ball and the wall do not exert any forces on each other. --
Ozone intake can cause irritation in what system of the body?
A. Respiratory
B. Immune
C. Nervous
D. Circulatory
Answers
A. Ozone intake can cause irritation in the respiratory system of the body. Ozone is a gas composed of three oxygen atoms that can be harmful when inhaled. It can irritate the lungs and cause inflammation, making it difficult to breathe. Prolonged exposure to ozone can lead to respiratory problems such as asthma, bronchitis, and emphysema. Ozone can also affect other systems of the body, such as the immune system, but respiratory irritation is the most common and well-documented effect.
A uniform, aluminum beam 9.00 m
long, weighting 300 N
, rests symmetrically on two supports 5.00 m
apart. A boy weighing 600 N
starts at point A
and walks toward the right. (Figure 1) How far beyond the support can the boy walk without tipping?
Answers
The boy weighing 600 N can walk at most 4.1 m beyond point A without tipping the beam.
What is center of mass?It is the weighted average position of all the system's or object's constituent pieces. It is the average position of all the parts of the system or object, weighted according to their mass. In other words, the center of mass is the point where an applied force will result in pure translation of the object, without any rotation.
To avoid tipping, the center of mass of the beam and the boy together must remain over the area between the two supports. Let's first find the center of mass of the beam.
The weight of the beam is 300 N and it is uniform, so its center of mass will be located at the midpoint, or 4.5 m from either support.
Next, we need to find the center of mass of the boy-beam system as the boy walks along the beam. Let's assume the boy moves a distance d to the right of point A before tipping occurs. The weight of the boy is 600 N and we can approximate his weight as acting at the center of his body, which we'll assume is 0.9 m from the left end of the beam. The combined center of mass of the boy-beam system will be at a distance (4.5 m + 0.9 m + d) from the left end of the beam.
For the system to remain stable, this combined center of mass must remain between the two supports, which are 5.00 m apart. Therefore, we can write:
4.5 m ≤ 4.5 m + 0.9 m + d ≤ 9.5 m
Solving for d, we get:
d ≤ 4.1 m
To know more about force, visit:
https://brainly.com/question/13191643
#SPJ1
please help me in this question pls
Answers
a) Yes, the force of thrust of the engine does work as it is causing the plane to accelerate and lift off the ground.
b) Yes, the kinetic energy of the plane increases as it takes off and gains speed.
c) Yes, the gravitational potential energy of the plane increases as it gains height.
d) Yes, the force of thrust of the engine changes the mechanical energy of the plane.
What is Kinetic energy?The kinetic energy of an object is the form of energy that it possesses due to its motion which is also defined as the work needed to accelerate a body of a given mass from rest to its stated velocity.
The work done by the engine's thrust increases the plane's kinetic energy and gravitational potential energy, thereby changing its mechanical energy.
Learn more about kinetic energy at:
https://brainly.com/question/8101588
#SPJ1
An experiment is conducted in which a cart travels across a horizontal surface and collides with a wall. Data collected from the experiment are used to create the graph of the cart’s velocity as a function of time. All frictional forces are considered to be negligible. Which data from the graph should the student use to determine the direction of the net force exerted on the cart and the direction of the change in momentum of the cart from the time intervals of A to B ?
Answers
The detail that the student will use to determine the direction of the net force exerted on the cart is The velocity.
How to get the detail from the graphWhen examining the velocity-time graph of a cart during time intervals A to B, it is crucial that we analyze it to determine both the net force's direction and the change in momentum's direction.
By observing the slope of the velocity-time graph, one can conclude the acceleration of the vehicle; if positive, then the acceleration moves mostly in a forward direction, but when negative, the opposite holds true, indicating the acceleration's backward motion towards initial position.
To get the direction of the change in momentum, you would have to analyze the slope of the velocity vs. time graph at the various time intervals.
Read more on velocity here
https://brainly.com/question/24445340
#SPJ1
What is the SI unit that is equal to 0.01 meters?
Answers
Answer:one centimeter is equal to one hundredth of a meter (1 cm = 0.01 m).
Explanation:
By how much would a windmill power increase in [%] if the wind speed increased 3%?
a. 33 b. 9 c. 13 d. 5 e. 21
Answers
The power will increase by about 9.27% (when rounded to two decimal places).
Therefore, the correct answer choice is (b) 9.
How do we calculate?The power generated by a windmill is proportional to the cube of the wind speed and which means that if the wind speed increases by 3%, the power generated will increase by:
(1.03)^3 −1 = 0.0927
In physics, power is described as the amount of energy transferred or converted per unit time. In the International System of Units, the unit of power is the watt.
So the power will increase by about 9.27%
Learn more about power at: https://brainly.com/question/1634438
#SPJ1
why does widening the prism cause the beam to bend more?
Answers
Widening the prism adds additional glass, which slows light down even further and increases the amount of refraction.
Is a prism reflective or flexible?The angles and plane sides of a prism cause light to be bent, or refracted, when it flows through them; the degree of refractive distortion varies somewhat depending on the wavelength of light.
When light travels from the air to the prism's glass, its speed changes, causing the light to bend and shift course. Once light enters the prism, it bends because the refraction indices of the air and glass differ. The light exits the prism bent even more since the sides are slanted.
learns more about prism
https://brainly.com/question/23963432
#SPJ1
A hard-boiled egg of mass 50.0 g moves on the end of a spring with spring constant
Answers
The magnitude of the damping coefficient is = 0.277 Ns/m
The magnitude of the damping coefficientWe can use the formula for the damped harmonic motion of a spring-mass system:
x = A*e^(-bt/2m)*cos(wt + delta)At t=0, the displacement of the egg is x = 0.300 m, and at t=5.00 s, the displacement has decreased to x = 0.100 m.
The angular frequency of the motion is:
w = sqrt(k/m) = sqrt(25.0 N/m / 0.0500 kg) = 10.0 rad/s
The equation for the amplitude of the motion at time t is:
A = x / cos(wt + delta) * e^(bt/2m)
At t=0, we have:
A = 0.300 m / cos(0 + delta) * e^(b0/20.0500 kg) = 0.300 m / cos(delta)
At t=5.00 s, we have:
A = 0.100 m / cos(10.0 rad/s * 5.00 s + delta) * e^(b5.00 s/20.0500 kg)
Dividing these two equations, we get:
0.300 m / cos(delta) / (0.100 m / cos(10.0 rad/s * 5.00 s + delta) * e^(b5.00 s/20.0500 kg)) = e^(b5.00 s/20.0500 kg)
Simplifying, we get:
cos(10.0 rad/s * 5.00 s + delta) * e^(b5.00 s/20.0500 kg) / cos(delta) = 3.00
Taking the natural logarithm of both sides, we get:
ln(cos(10.0 rad/s * 5.00 s + delta) * e^(b5.00 s/20.0500 kg) / cos(delta)) = ln(3.00)
Using the properties of logarithms, we can simplify this to:
ln(cos(10.0 rad/s * 5.00 s + delta)) + b*5.00 s / 0.0500 kg / 2 - ln(cos(delta)) = ln(3.00)
We can rearrange this equation to solve for b:
b = (2/5.00 kg) * (ln(3.00) - ln(cos(10.0 rad/s * 5.00 s + delta)) + ln(cos(delta)))
The phase angle delta is unknown, but it cancels out when we take the difference between the two equations for A. Therefore, we can choose any value of delta and still get the correct value of b.
Let's choose delta = 0 for simplicity. Plugging in the values, we get:
b = (2/0.0500 kg) * (ln(3.00) - ln(cos(10.0 rad/s * 5.00 s)) + ln(cos(0)))
b = 0.277 Ns/m
Therefore, the magnitude of the damping coefficient is = 0.277 Ns/m
Learn more on motion here https://brainly.com/question/25951773
#SPJ1
A 50.0-g hard-boiled egg moves on the end of a spring with force constant k=25.0N/m. It is released with an amplitude 0.300 m. A damping force Fx=−bv acts on the egg. After it oscillates for 5.00 s, the amplitude of the motion has decreased to 0.100 m.Calculate the magnitude of the damping coefficient b.
Mathias is going to do some informational interviewing. What is one of the main benefits of doing these interviews?
O A.
OB.
O C.
O D.
A.He will gain insight about a new career opportunity.
B.He will likely be offered a position with a company.
C.He will be able to ask questions about job openings.
D.He will find out how much money everyone earns.
Answers
Answer:
A
Explanation:
One of the main benefits of informational interviewing is that it allows the person conducting the interviews to gain insights and information about a particular career or industry.
a bird flies 3km to the west and then 4km to the south. find the resultant displacement of the bird
Answers
Answer:
We are asked to calculate for the resultant displacement.
We therefore conclude that the resultant displacement of the bird is 5 Km, 53o 5 K m , 53 o South of West.
Explanation:
have a nice day.
A 2.3 kg block on a frictionless incline of 27 degrees. The acceleration of gravity is 9.8 m/s2. Answer in units of ms. What is the normal force on the block...
Answers
The normal force on the block is approximately 20.05 N.
What is force acting on a body?Force describes the interaction between objects or between an object and its environment. It causes a change in the motion of the body it acts upon.
The normal force, which counteracts the force of gravity dragging the block downward, is the force generated by the slope acting perpendicular to its surface. As the incline has no friction, there is no force acting parallel to its surface.
To ascertain the parts of the force of gravity pulling on the block, we can apply trigonometry. There are two parts to the force of gravity: one that is parallel to the incline's surface and the other that is perpendicular to it. The weight of the block, mg, where m is its mass and g is its gravitational acceleration, is equal to the component of gravity perpendicular to the inclination. mg sin θ, where is the angle of the incline, is the component of gravity that is parallel to the incline.
To calculate the acceleration of the block moving down the incline, we can apply Newton's second law, F = ma. The component of gravity parallel to the inclination, or mg sin θ, represents the net force exerted on the block. As a result, we have:
[tex]mg sin(theta) = ma[/tex]
To solve for a, we obtain:
[tex]a = g sin(theta)[/tex]
Substituting the given values, we get:
[tex]a = 9.8 m/s^2 * sin(27°)[/tex] ≈ [tex]4.69 m/s^2[/tex]
Now that we know the normal force acting on the block, we can use Newton's second law once more. The component of gravity's force perpendicular to the incline is equal in magnitude to the normal force and moves in the opposite direction. As a result, we have:
[tex]mg cos(theta) = N[/tex]
Inputting the values provided yields:
[tex]N = 2.3 kg * 9.8 m/s^2 * cos(27°)[/tex] ≈ [tex]20.05 N[/tex]
Therefore, the normal force on the block is approximately 20.05 N.
Learn more about force here:
https://brainly.com/question/13191643
#SPJ1
5. How did your calculated final temperature compare with the actual temperature of the
air-metal mixture? Why or how did you make the prediction that you did?
Answers
To calculate the final temperature of an air-metal mixture, we need to use the principle of heat transfer.
The heat transfer equation states that the heat gained by the metal is equal to the heat lost by the air. This equation can be written as:
mcΔT = mairCpΔT
How to make prediction the of the final temperature?To make a prediction of the final temperature, we need to consider factors such as the thermal conductivity of the metal and air, the specific heat capacities of the materials, and the heat transfer coefficients at the metal-air interface. Additionally, the shape and size of the metal object and the surrounding environment can affect the final temperature.
Learn about heat transfer here https://brainly.com/question/25898569
#SPJ1