A passenger at the rear of a train that is travelling at 15m/s relative to the earth throws a baseball with a speed of 15m/s in the opposite direction of the train. What is the velocity of the baseball relative to the Earth as it leaves the thrower's hand?
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m/s
Answer:
The velocity of the baseball relative to the Earth as it leaves the thrower's hand is 0 m/s.
Explanation:
To determine the velocity of the baseball relative to the Earth as it leaves the thrower's hand, we need to consider the velocity of the train and the velocity of the baseball.
Given:
Velocity of the train (v_train) = 15 m/s (positive, since it's in the forward direction)
Velocity of the baseball relative to the train (v_baseball) = -15 m/s (negative, since it's in the opposite direction of the train)
To find the velocity of the baseball relative to the Earth, we can add the velocities of the train and the baseball:
Velocity of the baseball relative to the Earth (v_baseball_Earth) = v_train + v_baseball
v_baseball_Earth = 15 m/s + (-15 m/s)
v_baseball_Earth = 0 m/s
The velocity of the baseball relative to the Earth as it leaves the thrower's hand is 0 m/s. This means that the baseball has no net velocity relative to the Earth and remains stationary with respect to the Earth's frame of reference, despite being thrown by the passenger in the moving train.
Help me please !!!! Question 51
Explanation:
See image
3 (a) A car starts from rest and accelerates uniformly reaching a velocity of 25 m/s after travelling 100m. It travels at this velocity for 750 m. Then it decelerates uniformly and comes to rest in 5 s. Use the method of velocity- time graph to: i) iii) Find its displacement in the first 20 s, Find its total displacement, and the total time taken. [11]
the car's displacement in the first 20 seconds is 100 m, and the total displacement is 912.5 m. The total time taken is 33 seconds.
We may apply the equation v² = u² + 2as, where v is the final velocity, u is the beginning velocity, an is the acceleration, and s is the displacement, given that the automobile starts at rest and travels 100 metres before reaching a velocity of 25 m/s. We can find the acceleration by plugging in the values:
25² = 0² + 2a(100)
625 = 200a
a = 3.125 m/s²
By using equation v = u + at, we get
25 = 0 + 3.125t
t = 8 s
displacement is given by,
s = ut + (1/2)at²:
s = 0(8) + (1/2)(3.125)(8)²
s = 100 m
car travels at a constant velocity of 25 m/s for 750 m. Therefore, the displacement during this period is simply 750 m.
The car comes to rest in 5 seconds, and since it decelerates uniformly, the final velocity is 0 m/s.
Using the equation v = u + at, the deceleration is given as,
0 = 25 + a(5)
a = -5 m/s²
Using the equation v² = u² + 2as the displacement is
0² = 25² + 2(-5)s
0 = 625 - 10s
s = 625/10
s = 62.5 m
Total displacement = displacement during initial acceleration + displacement during constant velocity + displacement during deceleration
Total displacement = 100 m + 750 m + 62.5 m
Total displacement = 912.5 m
Total time taken = time taken for initial acceleration + time taken for constant velocity + time taken for deceleration
Total time taken = 8 s + 20 s + 5 s
Total time taken = 33 s
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In the diagram, q1 = +2.00 x 10⁻⁵ C, q2 = +3.80 x 10⁻⁶ C, and q3 = +5.30 x 10⁻⁵ C. What is the electric potential energy, Ue, for charge q1? Include the correct sign (+ or -)
The electric potential energy, Ue, for charge q₁ is -1.88 x 10⁻¹¹ J.
How to find electric potential energy?The electric potential energy between two charges is given by the following equation:
Ue = k × q₁ × q₂ / r
where:
Ue is the electric potential energy in Joules
k is the Coulomb constant, which is equal to 8.988 x 10⁹ N m² C⁻²
q₁ and q₂ are the charges in Coulombs
r is the distance between the charges in meters
In this case:
Ue = ?
k = 8.988 x 10⁹ N m² C⁻²
q₁ = +2.00 x 10⁻⁵ C
q₂ = +3.80 x 10⁻⁶ C
r = 0.10 m
\Substituting these values into the equation:
Ue = 8.988 x 10⁹ N m² C⁻² × (2.00 x 10⁻⁵ C) × (3.80 x 10⁻⁶ C) / 0.10 m
Ue = -1.88 x 10⁻¹¹ J
Therefore, the electric potential energy for charge q1 is -1.88 x 10⁻¹¹ J. The negative sign indicates that the potential energy is attractive.
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5. Where did the blood come from BEFORE it entered the Right atrium
Answer: superior vena cava (SVC) and inferior vena cava (IVC),
Explanation:
Oxygenated blood returns from the body to the heart through the superior vena cava and the inferior vena cave
A dielectric block such as shown in Fig. P5.1 is uniformly polarized. The polarization is P. Find the polarization charge density , on the faces 1, 2, and 3. (Find both magnitude and sign of the charge.) P Fig. P5.1
The vector field that expresses the density of induced or permanent electric dipole moments in a dielectric medium is known as polarization density (also known as electric polarization or just polarization).
Thus, A dielectric is considered to be polarized when its molecules acquire an electric dipole moment when exposed to an external electric field.
Electric polarization of the dielectric is the term used to describe the electric dipole moment induced per unit volume of the dielectric material.
The forces that emerge from these interactions can be calculated using the polarization density, which also defines how a material reacts to an applied electric field and how it modifies the electric field. It is comparable to magnetization, which measures a material's equivalent response.
Thus, The vector field that expresses the density of induced or permanent electric dipole moments in a dielectric medium is known as polarization density (also known as electric polarization or just polarization).
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Crew members attempt to escape from a damaged submarine 110m below the surface. What force must be applied to a pop-out hatch, which is 1.7m by 0.8m, to push it out at that depth? Assume the density of the ocean water is 1024kg/m3 and the internal air pressure is at 1atm
The pressure differential between the inside and outside of the submarine must be taken into account in order to determine the force needed to push out the pop-out hatch at a depth of 110 metres below the surface. The following formula may be used to calculate the force:
Force = Pressure Difference × Area
The difference between the interior air pressure and the exterior water pressure is known as the pressure differential. The external water pressure at a depth of 110 metres may be computed as follows:
Water Pressure = Density of Water × Gravitational Acceleration × Depth
On putting all the given values we get
Water Pressure = 1024 kg/m³ × 9.8 m/s² × 110 m = 1,174,784 Pa
Given that the internal air pressure is 1 atm, or 101,325 Pa, the pressure differential is as follows:
Pressure Difference = Water Pressure - Internal Air Pressure = 1,174,784 Pa - 101,325 Pa = 1,073,459 Pa
force is calculated as,
Force = Pressure Difference × Area = 1,073,459 Pa × (1.7 m × 0.8 m) = 1,375,899 N
Hence, a force of approximately 1,375,899 Newtons must be applied to the pop-out hatch to push it out at a depth of 110m below the surface.
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In the diagram, q1 = +6.39 • 10-⁹ C and q2 = +3.22 10-⁹ C. What is the electric field at point P? Include a + or - sign to indicate the direction.
Answer:
-391. 1077613
Explanation:
Answer:248.3
Explanation: Acellus
(Credit to guy above in comments)
What is the magnetic power?
Answer:
Magnetic power, also known as magnetic strength or magnetic field strength, refers to the intensity or magnitude of a magnetic field. It represents the amount of magnetic force exerted by a magnet or a magnetic field on other magnetic objects or charged particles.
The magnetic power is determined by factors such as the size and strength of the magnet, the distance from the magnet, and the magnetic properties of the materials involved. It is typically measured in units of tesla (T) or gauss (G).
In practical terms, magnetic power describes the ability of a magnetic field to attract or repel objects, influence the motion of charged particles, or induce magnetic effects in nearby materials. The higher the magnetic power, the stronger the magnetic field and the greater its impact on surrounding objects or substances.
Magnetic power finds applications in various fields, including electromagnetism, electronics, magnetic resonance imaging (MRI), magnetic levitation, and many industrial processes where magnetic fields are utilized for their properties and effects.
Explanation:
A circuit has a 3 cell battery in series each single cell has 1.5 volts and 2 resistors in parallel each with 8 ohms of resistance. Calculate the current in circuit.
Answer:
3÷5 1.2÷2 ×8i I think that is the best
A science teacher asks her class to compare the way in which heat is transferred to water in a pond as opposed to soil at the edge of the pond. Which of the following investigations will help them make this comparison?
The investigation" Place soil in the bottom of a container and water on top, place it in the sun, and measure the temperature of the container" will help them make this comparison.
How to carryout this investigation?A starting point for conducting a comparative analysis is to fill a container with soil followed by pouring water on top.
The next step involves placing it under sun rays while simultaneously recording its temperature. Post that, we need to separate the sand from water to rapidly gauge any change in temperature.
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Complete question:
A science teacher asks her class to compare the way in which heat is transferred to water in a pond as opposed to the soil at the edge of the pond. Which of the following investigations will help them make this comparison?
a. Mix water and soil in a container, place it in the sun, and measure the temperature of the container.
b. Place soil and water in separate containers, place them indoors, and monitor the temperature of the containers.
c. Place soil and water in separate containers, place them in the sun, and monitor the temperatures of each container.
d. Place soil in the bottom of a container and water on top, place it in the sun, and measure the temperature of the container.
NEED HELP ON QUESTION ASAP! !
If answer is correct I'll rate you five stars a thanks and maybe even brainliest!
Please can you explain what this paragraph is trying to say. Also what does it mean in the sentence 'the difference in charge across the battery provides push for current' and what is the difference in charge.
Here's paragraph I need to have a simple definition of:
A high waterfall is also like a large voltage. It will transfer a lot of energy to the water (charge), making the river flow very fast (a large current) the difference in height makes the river flow. In a circuit , the difference in charge across battery provides push for the current.
what is the most effortless walking speed for a person with 90cm long legs if the length of each step is 90cm
Answer:
75 cm/second.
Explanation:
Formula:
Walking speed = stride length / time per step
Walking speed = 90cm/time per step
= 90cm/1.2 seconds (a common estimate time per step)
= 75cm/second.
How far would you need to travel to reach a star located 4.2 light years away in only 3 months, as measured by your own wristwatch? (need to consider the special relativity in the answer)
You would need to travel approximately 0.25 light years to reach the star located 4.2 light years away in only 3 months, as measured by your own wristwatch.
According to special relativity, as an object approaches the speed of light, time dilation occurs. This means that time would appear to pass slower for the traveler relative to a stationary observer. To calculate the distance you would need to travel, considering time dilation, we need to account for the time dilation factor γ (gamma). The formula for time dilation is T' = T / γ, where T' is the observed time by the traveler and T is the time measured by the stationary observer.
Assuming you want to travel 4.2 light years in 3 months (as measured by your wristwatch), we need to find the value of γ that satisfies T' = 3 months. Solving the equation, we find γ = T / T' = 4.2 years / 3 months. Converting years to months, we have γ = 50.4 months / 3 months = 16.8. Now, we can calculate the distance you would need to travel by dividing the observed distance (4.2 light years) by γ: 4.2 light years / 16.8 = 0.25 light years.
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what is incandescent object
Hurry up please
An incandescent object refers to an object that emits light as a result of being heated to a high temperature.
Understanding Incandescent ObjectWhen an object is heated, its atoms and molecules gain energy, causing them to vibrate and move more rapidly. This increased energy causes the object to emit electromagnetic radiation, including visible light, which makes the object glow.
Incandescence is commonly observed in everyday objects such as incandescent light bulbs, where a tungsten filament is heated by an electric current until it reaches a temperature that causes it to emit visible light.
As the filament gets hotter, it emits light with a higher intensity and shifts towards shorter wavelengths, starting from a warm red glow and progressing towards a brighter, white light.
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how mindset affects learning
Answer: mindsets can affect learning
Explanation: negative mindsets vs positive ones, individually affect someone. As everyone is different, this could differ between certain people(s). Generally, it is thought the more positive the mindset, the more positive the affect.
A crew whose weight is 735 N and whose density is 985 kg/m3 went overboard and floats in water with his head above the surface with the help of a life jacket which is wholly immersed. Assuming that the volume of his head is 1/10 of his whole volume and that the specific gravity of the life jacket is 0.25, find the volume of the life jacket.
The volume of the life jacket with a weight of 735N and density is 985 kg/m³ and the specific gravity of the life jacket is 0.25 is 211.8 × 10⁻³ m³.
The density is defined as the mass per unit volume. According to Archimedes' principle, the fluid is displaced when the weight is immersed in the fluid.
From the given,
Weight of crew (W) = 735N
The density of crew (ρ) = 985kg/m³
specific gravity = 0.25 = 250kg/m³
the volume of the life jacket =?
W = m.g = 735N
735 / 10 = m
73.5 kg = m
The density of the crew is 985N is less than the density of water. Hence, the crew is immersed in the water and the crew needs the life jacket to survive. The volume of his head is 9/10 of his volume. The density of the crew,
985×10/9 = 1088 kg/m³.
Density = mass/volume
volume = mass/ density
= 73.5 / 1088
= 0.067 m³
The crew needs the lifeboat to be survived.
The volume of the life jacket:
(Crew mass + life mass) / (9×crew volume / 10 × life vests volume)=1000
(73.5 + life vests mass)×(10×life vests volume)/ (9×0.067) = 1000
(73.5 + life vests mass)×(10×life vests volume)/0.603 = 1000
(73.5 + life vests mass)×(10×life vests volume) = 1000×0.603
(73.5 + life vests mass)×(10×life vests volume) = 603
(life vests mass)×(10×life vests volume) = 603 - 73.5
= 529.5
Life. vest mass/life.vest volume = 250
life.vest mass = 250×life.vest volume
250×life.vest volume×10×life.vest volume = 529.5
2500×life.vests volume = 529.5
life.vests volume = 529.5/2500
= 0.2118×1000/1000
= 211.8 × 10⁻³ m³.
Thus, the life vests volume is 211.8× 10⁻³ m³.
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Calculate the depth below the surface of ocean water where the total pressure is 1.105-108 Pa. Density of ocean water is 1.025 g/cm³.
The depth below the surface of the ocean where the total pressure is 1.105-108 Pa is 1.076 × 10⁶ meters.
Understanding the Depth and Density of Ocean waterUsing hydrostatic pressure equation, which relates pressure, density, and depth in a fluid:
P = P₀ + ρgh
Where:
P is the total pressure at depth h,
P₀ is the atmospheric pressure (assuming it is negligible),
ρ is the density of the fluid (ocean water),
g is the acceleration due to gravity.
Given:
ρ = 1.025 g/cm³ * (1000 kg/1 g) * (1 m/100 cm)³
= 1025 kg/m³
g = 9.8 m/s².
Now, we can rearrange the equation to solve for the depth h:
h = (P - P₀) / (ρg)
Substituting the given values:
h = (1.105 × 10⁸ Pa) / (1025 kg/m³ * 9.8 m/s²)
Calculating this expression:
h ≈ 1.105 × 10⁸ Pa / (1025 kg/m³ * 9.8 m/s²)
≈ 1.105 × 10⁸ m²/(kg·s²) / (1025 kg/m³ * 9.8 m/s²)
≈ 1.105 × 10⁸ m / (1025 * 9.8) m
≈ 1.076 × 10⁶ m
Therefore, the depth below the surface of the ocean where the total pressure is 1.105-108 Pa is approximately 1.076 × 10⁶ meters.
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the eye is most sensitive to yellow colour. But the danger signals are red. why
If a nucleus had a diameter of 8.0 fm, what would be its expected mass, in atomic mass units?
The atomic mass unit is 37.04unit
The size of a nexus is generally expressed in terms of its compass, not periphery. The compass of a nexus is related to its mass number( A) by a general empirical formula known as the" nuclear compass formula"
[tex]R = R_o(A\frac{1}{3}) ,[/tex]
where R is the compass of the nexus,
R ₀ is a constant( roughly1.2 fm),
and A is the mass number.
To determine the anticipated mass of the nexus in infinitesimal mass units( u), we can use the following equation
Mass = A × mass of a single nucleon,
where the mass of a single nucleon is roughly 1 infinitesimal mass unit( 1 u).
Given that the periphery of the nexus is8.0 fm, we can calculate the compass
R = [tex]\frac{8.0fm}{4.0}[/tex]= 4.0 fm.
Now, we can use the nuclear compass formula to estimate the mass number( A)
fm = R ₀ A(1/3).
By rearranging the formula and working for A,
we have A = ((4.0 fm/ R ₀))
Substituting the value of R ₀( roughly1.2 fm) into the equation
A = ((4.0 fm/1.2 fm))
A ≈(3.33) 3
A ≈37.04.
Thus, the anticipated mass of the nexus in infinitesimal mass units would be roughly37.04u.
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Very Good! Has your understanding widened about the different physical fitness tests involved in our daily lives after the discussion? Let us see how much you have learned in this module. Directions: Base on your Physical Fitness Tests conducted, state your understanding about your results by completing the phrases below. Write your answers in your activity notebook. Activity 1: Fill in the Gap 1. In this lesson, I have learned that ______________________________________________________________ ______________________________________________________________ 2. Base on the results of my physical fitness tests, I have found out that I am capable of doing ________________________________________________ and needs improvement in ________________________________________ 3. The health-related fitness component that I like the most is_____________________because_________________________________ ______________________________________________________________ 4. As a student, I will promise ________________________________________ ____________________________________________________________
In this lesson, I have learned that physical fitness tests are essential in assessing and measuring various aspects of our physical well-being.
They provide valuable information about our current fitness levels, strengths, and areas that require improvement. These tests help in determining our overall health, identifying potential health risks, and developing personalized fitness programs.
Based on the results of my physical fitness tests, I have found out that I am capable of doing a moderate level of cardiovascular endurance exercises, such as running or cycling, and I have good flexibility.
However, I need improvement in my muscular strength and endurance, as well as my agility and coordination. These areas require more attention and targeted exercises to enhance my overall physical fitness.
The health-related fitness component that I like the most is cardiovascular endurance because it allows me to engage in activities that raise my heart rate and improve the efficiency of my cardiovascular system.
It not only enhances my overall stamina but also has numerous health benefits, such as reducing the risk of cardiovascular diseases and improving mental well-being.As a student, I will promise to incorporate regular physical activity into my daily routine.
I understand that physical fitness is crucial for my overall well-being and academic performance. I will make a conscious effort to engage in activities that target my areas of improvement, such as strength training exercises and agility drills.
Additionally, I will strive to maintain a balanced and nutritious diet to support my physical fitness goals. By prioritizing my health and fitness, I aim to lead a more active and fulfilling lifestyle while achieving my academic objectives.
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A mass particles of mass 5kg is pulled along a smooth horizontal surface by a horizontal string. the acceleration of the particles is 10ms^_2
Answer:
50 N
Explanation:
To determine the force exerted on the particle, we can use Newton's second law of motion, which states that the force (F) acting on an object is equal to the mass (m) of the object multiplied by its acceleration (a). Mathematically, this can be expressed as:
F = m * a
Given that the mass of the particle is 5 kg and the acceleration is 10 m/s^2, we can substitute these values into the formula:
F = 5 kg * 10 m/s^2
F = 50 N
A truck driver is attempting to deliver some furniture. First, he travels 8km east, and then he turns around and travels 3km west. Finally, he turns and travels 12km east to his destination.
1. What distance has the driver traveled?
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km
2. What is the driver's total displacement? (don't forget the direction)
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km
1.The driver has traveled a distance of 23 km.
2.The driver's total displacement is 17 km east.
1.The distance traveled by the driver can be calculated by adding the distances traveled in each leg of the journey:
Distance traveled = (8 km) + (3 km) + (12 km) = 23 km
2.The driver's total displacement takes into account not only the distance traveled but also the direction. To calculate the displacement, we need to consider the net distance and direction from the starting point to the final position.
The driver initially travels 8 km east, then 3 km west, and finally 12 km east. Since the driver is traveling back and forth, the net displacement can be found by subtracting the distance traveled west from the distance traveled east:
Net displacement = (Distance traveled east) - (Distance traveled west)
= (8 km + 12 km) - (3 km)
= 20 km - 3 km
= 17 km
The driver's total displacement is 17 km east.
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During a race on level ground, Andrea runs with an average speed of 6.02 m/s to the east. What is Andrea's displacement after 137s?
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Andrea's displacement after 137 seconds is 824.74 meters to the east. This means that she has moved a distance of 824.74 meters in the eastward direction from her starting position.
Andrea's displacement after 137 seconds can be calculated by multiplying her average speed by the time traveled. Since she is running to the east, her displacement will be positive.
Displacement is given by the formula: Displacement = Average speed × Time
Substituting the given values, we have: Displacement = 6.02 m/s × 137 s
Calculating this expression, we find: Displacement = 824.74 m Displacement is a vector quantity that not only represents the magnitude (distance) but also the direction of motion. In this case, Andrea's displacement is positive because she ran to the east, indicating a displacement in the positive x-direction.
It's important to note that displacement is different from distance. While distance refers to the total path traveled, displacement only considers the change in position from the starting point to the final position.
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an ice plug has formed in the production pipe. explain the procedure to get rid of the ice plug
To remove an ice plug from a production pipe, you can follow these general steps:
Safety precautions: Ensure you are wearing appropriate personal protective equipment (PPE) such as gloves and eye protection. Ice removal procedures can involve using sharp tools or applying pressure, so safety is paramount.
Identify the location of the ice plug: Determine the exact location of the ice plug in the production pipe. This information will help you plan the removal procedure effectively.
Thawing the ice plug: There are several methods to thaw the ice plug, depending on the circumstances and available resources. Here are a few commonly used techniques:
a. Heat application: Use a heat source such as a heat gun or an electric heat blanket to warm the pipe and melt the ice. Be cautious not to apply excessive heat, as it could damage the pipe or create safety hazards.
b. Hot water circulation: If possible, circulate hot water through the pipe to gradually melt the ice plug. This method is often used when dealing with larger ice blockages.
c. Steam injection: Injecting steam into the pipe can provide efficient heat transfer and accelerate the melting process. However, this method requires specialized equipment and should be performed by trained personnel.
d. Chemical agents: In some cases, specific chemicals may be used to lower the freezing point of the ice or promote melting. However, this method should be used cautiously, considering the potential environmental impact and the compatibility of chemicals with the pipe material.
Monitor progress: As you apply the thawing method, periodically check the pipe to monitor the progress. Be patient and avoid using excessive force, as sudden releases of pressure can be hazardous.
Assist the melting process: To expedite the melting of the ice plug, you can gently tap the pipe or use non-abrasive tools to break up any loose ice. This can help facilitate the flow of water and aid the thawing process.
Maintain a controlled environment: If possible, create a controlled environment around the affected pipe section. Insulating the pipe or providing external heat sources can help maintain a higher temperature and prevent further freezing.
Resume production: Once the ice plug has completely melted, inspect the pipe for any damage or residual ice fragments. Ensure the pipe is clear before resuming production.
It is important to note that the specific procedure may vary depending on the size and material of the production pipe, as well as the available resources and safety protocols. When dealing with critical systems or complex ice plug situations, it is advisable to consult with experts or professionals with experience in ice plug removal.
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A non-uniform bar of weight W = 30.0 N is suspended at rest in a horizontal position by two massless cords. The angle phi between cord 2 and the vertical is equal to 40.0o. The bar has a length L = 3.0 m and the distance of its center of gravity from the left-hand end of the bar is 2.2 m.
Answer:
12.75N
Explanation:
Let's consider the forces acting on the bar:
Weight of the bar (W = 30.0 N): It acts vertically downward, passing through the center of gravity of the bar.
Tension in cord 1 (T1): It acts horizontally and to the left, making an angle of 90° with the bar. Since cord 1 is massless, it does not contribute to the torque.
Tension in cord 2 (T2): It acts at an angle φ = 40.0° with the vertical.
To find the tension in cord 1 and cord 2, we need to set up torque equilibrium equations. The torque of the weight about the point of suspension must be balanced by the torques of the tensions in cords 1 and 2.
Taking the left end of the bar as the reference point (pivot), the torque equilibrium equation can be written as:
Torque due to weight = Torque due to T1 + Torque due to T2
The torque due to the weight is calculated as follows:
Torque due to weight = Weight of the bar * Perpendicular distance between the weight and the pivot point
The torque due to T1 is zero since it acts along the line of action passing through the pivot point.
The torque due to T2 can be calculated as follows:
Torque due to T2 = T2 * Perpendicular distance between the cord and the pivot point
Using the given values:
Weight of the bar (W) = 30.0 N
Length of the bar (L) = 3.0 m
Distance of the center of gravity from the left-hand end of the bar (d) = 2.2 m
Angle between cord 2 and the vertical (φ) = 40.0°
We can calculate the perpendicular distance between the weight and the pivot point as:
Perpendicular distance = L/2 - d
Using these values, we can solve for T2:
30.0 N * (L/2 - d) = T2 * L * sin(φ)
Let's substitute the given values and solve for T2:
30.0 N * (3.0/2 - 2.2) = T2 * 3.0 * sin(40.0°)
T2 ≈ 12.75 N
Therefore, the tension in cord 2 (T2) is approximately 12.75 N.
Q4. The following potential differences were measured in a circuit: E is at the same potential as ground and -25 volts wrt D D is -15 volts wrt C C is -10 volts wrt B B is -30 volts wrt A What are the potentials at B, C and D wrt ground. What is the potential difference of A wrt C. What is the potential difference of C wrt A. What is the potential difference of ground wrt B i) ii) iii) iv)
We can determine the potentials at B, C, and D with respect to ground by adding up the potential differences from each point to ground:
The potential at B with respect to ground is -30 volts.The potential at C with respect to ground is -10 volts.The potential at D with respect to ground is -15 volts.To determine the potential difference of A with respect to C, we subtract the potential at C from the potential at A:
The potential difference of A with respect to C is -20 volts (since the potential at A is -30 volts and the potential at C is -10 volts, so A is 20 volts less than C).To determine the potential difference of C with respect to A, we subtract the potential at A from the potential at C:
The potential difference of C with respect to A is +20 volts (since the potential at C is -10 volts and the potential at A is -30 volts, so C is 20 volts greater than A).To determine the potential difference of ground with respect to B, we subtract the potential at B from the potential of ground (which is assumed to be zero):
The potential difference of ground with respect to B is +30 volts (since the potential at B is -30 volts, so ground is 30 volts greater than B).1.1 Consider two vessels (A & B) of equal volume separated by a valve. Vessel A contains CH4 (g) at 5.0 °C and 1.5 atm. while vessel B contains CO2 (g) at 25 °C and 0.6 atm. The contents of the two vessels are allowed to mix by opening the valve that separates them until the temperature is 16 °C. Calculate the partial pressure of each gas after mixing. (8)
The partial pressures of CH4 and CO2 after mixing are 1.06 atm and 0.43 atm, respectively.
How to calculate the valueThe number of moles of gas in each vessel can be calculated using the following formula:
n_i = P_i * V / RT
Substituting the given values, we get the following equations for the number of moles of gas in each vessel:
n_A = (1.5 atm) * V / (0.08206 L atm/mol K) * 289.15 K = 0.91 mol
n_B = (0.6 atm) * V / (0.08206 L atm/mol K) * 289.15 K = 0.37 mol
Therefore, the total number of moles of gas in the system is:
n_total = 0.91 mol + 0.37 mol = 1.28 mol
The mole fraction of each gas in the system is equal to the number of moles of that gas divided by the total number of moles of gas in the system.
x_i = n_i / n_total
Substituting the given values, we get the following mole fractions for each gas:
x_CH4 = 0.91 mol / 1.28 mol = 0.71
x_CO2 = 0.37 mol / 1.28 mol = 0.29
The partial pressure of each gas is equal to the mole fraction of that gas multiplied by the total pressure of the system.
P_i = x_i * P_total
Substituting the given values, we get the following partial pressures for each gas:
P_CH4 = 0.71 * 1.5 atm = 1.06 atm
P_CO2 = 0.29 * 1.5 atm = 0.43 atm
Therefore, the partial pressures of CH4 and CO2 after mixing are 1.06 atm and 0.43 atm, respectively.
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a healthy person has a body temperature of 37 degree celsius. if they jump into an ice bath after sports training their temperature only decreases slowly. how can you explain this when a lump of metal at 37 celsius degree placed in the same ice bath cools down to 0 celsius degree in only a couple of minutes
A metalrod of length 40.0cm at 20°C is heated to a temperature of 45°C. If the new length is 40.05cm, Calculate its Linear expansivity.
Answer:
The answer is 5×10‐⁵
Step-by-step Explanation:
[tex] \alpha = \frac{l2 - l1}{l1( \beta 2 - \beta 1)} [/tex]
let ß be ø
[tex] \alpha = \frac{40.05 - 40}{40(45 - 20)} [/tex]
[tex] \alpha = \frac{0.05}{40 \times 25} [/tex]
[tex] \alpha = \frac{0.05}{1000}[/tex]
[tex] \alpha = \frac{0.05}{1000}[/tex][tex] \alpha = 5.0 \times {10}^{ - 5} [/tex]