Changes in the core, seams, or surface of a baseball could make it travel farther than normal, leading to suspicions of foul play. However, any alterations to baseballs are closely monitored and must be approved by Major League Baseball to ensure fairness in the game.
There are a few changes that could potentially lead to baseballs traveling farther than normal:
Changes in the baseball's core: The core of a baseball is made up of rubber and cork, and a change in the density of these materials could potentially make the ball travel farther.
Changes in the baseball's seams: The seams on a baseball can affect its flight path, and a change in the height, width, or thickness of the seams could affect the ball's trajectory and make it travel farther.
Changes in the baseball's surface: The surface of a baseball can affect its aerodynamics, and a change in the texture or smoothness of the surface could potentially make the ball travel farther.
It's worth noting that changes in the baseballs are closely monitored by Major League Baseball, and any alterations must be approved by the league before they can be used in games. If a change is suspected to be causing an increase in home runs, the league would investigate and take appropriate action to ensure that the game remains fair and balanced.
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a 920 kg sports car collides into the rear end of a 2300 kg suv stopped at red light. the bumpers lock, the brakes are locked, and the two cars skid forward 2.8 meters before stopping. coefficient of friction between tires and road is .80. calculate the speed of the sports car at impact?
The speed of the sports car at impact is 9.37 m/s.
The conservation of momentum and the work-energy principle using here . Before the collision, the two cars are not moving, so their initial momentum is zero. Let v be the speed of the sports car after the collision.
Using the conservation of momentum, we have:
(m1 + m2) * v = m1 * v1
where m1 and m2 are the masses of the sports car and the SUV, respectively, and v1 is the initial velocity of the sports car before the collision.
After the collision, the two cars move together and stop after skidding a distance of 2.8 meters. can use the work-energy principle to relate the work done by the frictional force to the change in kinetic energy of the two cars. The work done by the frictional force is given by:
W = F * d = μ * N * d
where μ is the coefficient of friction, N is the normal force, and d is the distance over which the frictional force acts. The normal force is equal to the weight of the two cars, which is:
N = (m₁ + m₂) × g
where g is the acceleration due to gravity.
The change in kinetic energy of the two cars is:
ΔK = (1/2) × (m¹ + m²) × v²
Using the work-energy principle, we have:
W = ΔK
μ × N × d = (1/2) × (m1 + m2) × v²
Substituting the expressions for N and μ, we get:
μ × (m₁+ m₂) × g × d = (1/2) × (m1 + m2) × v²
Simplifying and solving for v, we get:
v = √(2 × μ × g ×d)
Substituting the given values, we get:
v = √(2 × 0.8 × 9.81 m/s² × 2.8 m) = 9.37 m/s
Therefore, the speed of the sports car at impact would be 9.37 m/s.
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when air is inhaled, it quickly becomes saturated with water vapor as it passes through the moist upper airways. when breathing dry air, about 25 mg of water are exhaled with each breath. at 12 breaths per minute, what is the rate of energy loss due to evaporation? at body temperature, the heat of vaporization of water is lv
The rate of energy loss due to evaporation is 6.75 × 104 J/min.
When answering questions on Brainly, it is important to be factually accurate, professional, and friendly. Answers should be concise and relevant to the question asked. Any typos or irrelevant parts of the question should be ignored.
The terms provided in the question should be used in the answer to ensure clarity and accuracy. Here is a possible answer to the question:When air is inhaled, it quickly becomes saturated with water vapor as it passes through the moist upper airways.
When breathing dry air, about 25 mg of water are exhaled with each breath. At 12 breaths per minute, what is the rate of energy loss due to evaporation?At body temperature, the heat of vaporization of water is Lv = 2.25 × 106 J/kg.
To find the rate of energy loss due to evaporation, we need to find the mass of water that is exhaled per minute.Using the given values, the mass of water exhaled in one breath is 25 mg or 0.025 g.
Therefore, the mass of water exhaled per minute is:
0.025 g/breath x 12 breaths/min
= 0.3 g/minThe rate of energy loss due to evaporation can now be calculated using the formula:
q = mLvwhere q is the rate of energy loss,
m is the mass of water per unit time, and Lv is the heat of vaporization of water. Substituting the values obtained above gives:
q = (0.3 g/min) x (2.25 × 106 J/kg) =
6.75 × 104 J/min
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a car is travelling with a speed of 36km/h,with acceleration of 2.5m/s2.What velocity
does the car gain after 30s.Find the velocity in S.I. unit
Explanation:
first convert the km/hr in m/s and apply the formula:v=u+at
then put all the values given
;here 36km/hr is the initial velocity(u)
acceleration(a)=2.5m/s²
time=30sec.
Can you please help me with this question
Impedance is a measure of the opposition to the flow of electrical current in a circuit. It is a complex quantity that includes both resistance and reactance, and is measured in ohms (Ω).
What is the impedance?Impedance is an important concept in electrical engineering and is used to design and analyze electronic circuits, communication systems, and power systems.
We know that the capacitive reactance is;
Xc= 1/2πfC
Xc =1/2* 3.14 * 1 * 10^3 * (0.01 * 10^-6)
Xc = 15924 ohm
Then Z = √R^2 + Xc^2
Z = √(10 * 10^3) + (15924 )^2
Z = 18804 ohm
I = V/Z
I = 10V / 18804 ohm
I = 0.00053 A
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how does the period obtained when the cylinder is suspended by a thread compare with its period when placed in the pan
The period of oscillation of the cylinder in the pan will be affected by the properties of the fluid, such as its density and viscosity, which will not affect the motion of the suspended cylinder.
The formula for the period of oscillation of a cylinder in a fluid is given by:
T = 2π√(I/mgd)
Viscosity describes the internal friction between different layers of a fluid as they move past one another. High-viscosity fluids, such as molasses or honey, flow slowly and require more force to move, while low-viscosity fluids, such as water, flow more easily and quickly.
Viscosity is influenced by several factors, including temperature, pressure, and the size and shape of molecules in the fluid. For example, as the temperature of a fluid increases, its viscosity typically decreases, and as pressure increases, viscosity may increase. Viscosity is important in many areas of science and engineering, such as in the study of fluid dynamics, lubrication, and materials science. It also plays a role in various industrial applications, such as in the production of paints, cosmetics, and food products.
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the police car has a mass of 2200 kg. assuming that its acceleration is entirely due to the static friction between the tires and the ground, what is the minimum coefficient of static friction between the tires and the ground?
The police car has a mass of 2200 kg. Assuming that its acceleration is entirely due to the static friction between the tires and the ground, the minimum coefficient of static friction between the tires and the ground is 0.191.
There is a minimum amount of friction necessary between the tires of a car and the road so that the car does not slide around or roll over as it drives along. This is referred to as the minimum coefficient of static friction. It's crucial to understand that the value of the coefficient of static friction is unique to each pair of materials interacting. Therefore, using the given values, the minimum coefficient of static friction (μ) between the tires and the ground can be calculated as follows;
F_friction = mass x accelerationF_friction = 2200 x accelerationStatic frictional force is the force that arises between two surfaces when they are in contact with one other and one is not sliding or moving relative to the other.
Hence, the maximum possible static friction (Fmax) can be given by:
F_max = coefficient of static friction (μ) x normal force of contactF_max = μ x FNWhere FN is the normal force exerted by the ground on the car, which is equal to the weight of the car (mg). Therefore, F_max = μmgAs a result, the minimum coefficient of static friction (μ) required can be calculated using the given values as:μmin = Friction/Fmax = Friction/(μmg)
Substitute the given values into the equation:
μmin = Friction/Fmax = Friction/(μmg)μmin = Friction/Fmax = 2200 x acceleration/2200 x gμmin = acceleration/g = 0.191
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Suggest a problem concerning an interesting effect observed with specific non-newtonian fluids.Also pls recommend any experiment, explain its results and pls share some pics for a better explanation?
The problem concerning an interesting effect observed with specific non-Newtonian fluids investigating the impact of shear stress on the flow behavior of non-Newtonian fluids.
In this experiment, a non-Newtonian fluid is placed in a cylindrical container and its flow behavior is observed when a shear stress is applied to its surface which is created by a rotating paddle wheel which is placed at the bottom of the container. The paddle wheel is rotated at different speeds to increase the shear stress applied to the non-Newtonian fluid.
The results of this experiment demonstrate that when the shear stress is increased, the viscosity of the non-Newtonian fluid decreases. This decrease in viscosity causes the non-Newtonian fluid to flow more easily and with less resistance. This effect can be seen when the paddle wheel is rotated at higher speeds; the non-Newtonian fluid flows more quickly and with less effort.
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a horizontal force of 180 n used to push a chair across a room does 520 j of work. how far does the chair move in this process?
According to the work-energy principle, the work done on an item is equal to the change in its kinetic energy. The chair is being pushed horizontally with a force of 180 N, producing 520 J of effort.
To calculate the distance the chair moves, we may apply the formula W = Fd. W = 520 Fd J = 180 N x d When we solve for d, we get: d = 520 J / 180 N d = 2.89 m As a result, the chair moves 2.89 meters across the room while being pushed with a force of 180 N and performing 520 J of effort. The work done on an item is equal to the change in its kinetic energy, according to the work-energy principle. The chair is being pushed horizontally with a force of 180 N, resulting in an effort of 520 J. We may use the formula W = Fd to compute the distance the chair moves.
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changing the inner radius automatically changes the angular velocity to 36 degrees / s. why? (make sure to mention moment of inertia and angular momentum in your answer.)
Changing the inner radius automatically changes the angular velocity to maintain the conservation of angular momentum. Changing the inner radius of a rotating object changes its moment of inertia, which is a measure of its resistance to rotational motion.
The moment of inertia depends on the distribution of mass within the object, as well as the shape and size of the object. In this case, since the angular velocity changes to 36 degrees per second, we can conclude that the moment of inertia of the rotating object has increased.
According to the conservation of angular momentum, the product of the moment of inertia and angular velocity remains constant for a rotating object. Mathematically, we can express this principle as:
I1 x ω1 = I2 x ω2
Where I1 and I2 are the initial and final moments of inertia, and ω1 and ω2 are the initial and final angular velocities, respectively.
In this scenario, if we increase the inner radius of the rotating object, its moment of inertia will increase. Since the angular momentum must remain constant, the angular velocity must decrease to compensate for the increase in moment of inertia. Similarly, if we decrease the inner radius, the moment of inertia will decrease, and the angular velocity must increase to conserve angular momentum.
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it is the chance high or low that any hazard will actually cause somebody harm
Answer:
So long it's a "hazard" by literal definition, there is a high chance of harm once it touches or interacts with a being.
a phonograph turntable, initially rotating at 0.75 rev/s, slows down and stops in 30 s. the magnitude of its average angular acceleration for this process is:
The average angular acceleration of a phonograph turntable as it slows down and stops is 0.025 rev/s^2.
The average angular acceleration of a phonograph turntable as it slows down and stops can be calculated as: α = (ωf - ωi) / t
In this case, the initial angular velocity is 0.75 rev/s and the final angular velocity is 0 rev/s (since the turntable comes to a stop). The time interval is 30 s. Substituting these values into the formula, we get:
α = [tex](0 - 0.75 rev/s) / 30 s[/tex]
α = [tex]-0.025 rev/s^2[/tex]
The negative sign indicates that the turntable is slowing down, and the magnitude of the average angular acceleration is 0.025 rev/s^2.
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a heat pump operates on the ideal vapor-compression refrigeration cycle with r-134a as the working fluid between the pressure limits of 0.32 and 1.2 mpa. if the mass flow rate of the refrigerant is 0.193 kg/s, the rate of heat supply by the heat pump to the heated space is
The rate of heat supply by the heat pump is proportional to the rate of heat removed from the cold space, with a proportionality constant of 0.0678.
How we calculated rate of heat supply?To find the rate of heat supply by the heat pump, we need to first determine the COP (coefficient of performance) of the heat pump, which is defined as the ratio of the desired output (heat supplied) to the required input (work supplied):
COP = desired output / required input
For an ideal vapor-compression refrigeration cycle, the COP can be expressed as:
COP = (T1-T4) / (T2-T1)
where T1, T2, T3, and T4 are the temperatures at four key points in the cycle (in Kelvin).
Using the pressure limits and the refrigerant type, we can find the corresponding temperatures at each of these points from a refrigerant table. For R-134a, the saturation temperature at 0.32 MPa is -24.83°C and at 1.2 MPa is 63.06°C.
Assuming the compressor is adiabatic, the temperature at point 2 is the same as that at point 1, and the temperature at point 3 is the same as that at point 4.
Therefore, we have:
T1 = -24.83 + 273.15 = 248.32 K
T2 = T1 = 248.32 K
T3 = 63.06 + 273.15 = 336.21 K
T4 = T3 = 336.21 K
Using these values, we can calculate the COP:
COP = (T1-T4) / (T2-T1) = (248.32 - 336.21) / (248.32 - 248.32) = -0.352
Since the COP is negative, this means that the heat pump is actually a heat engine, and the desired output is negative (heat is actually being removed from the cold space).
The required input is still positive, however, so we can use the absolute value of the COP to find the required input:
COP = |desired output| / required input
0.352 = |-Qc| / W
W = |-Qc| / 0.352
Here, W is the work supplied to the heat pump, and Qc is the heat removed from the cold space. We can assume that the heat pump operates in a steady-state, so the rate of heat removed from the cold space is equal to the rate of heat supplied to the heated space:
Qc = Qh
Therefore, the rate of heat supply by the heat pump to the heated space is:
Qh = Qc = W x 0.352
= 0.193 x |-Qc| x 0.352
= 0.0678 x |Qc|
We don't have enough information to determine the value of |Qc|, so we can't calculate Qh exactly.
However, we can say that the rate of heat supply by the heat pump is proportional to the rate of heat removed from the cold space, with a proportionality constant of 0.0678.
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the coil is near the ousth pole, which is held in place. does the coil exert an attractive or repulsive force on the magnet
When the coil is located near the south pole, which is held in place, it exerts an attractive force on the magnet.
When a magnet approaches a conducting loop, it induces a current in the coil as the magnetic field changes. When there is a changing magnetic field linked with a loop of wire, an induced electromotive force (emf) is generated in the loop according to Faraday's law of electromagnetic induction.
A current is generated in the loop as a result of the emf, which then produces its own magnetic field. When this field links with the initial magnetic field, it generates a torque that rotates the magnet. This torque is what causes the magnet to be attracted to the coil.
Lenz's law states that the magnetic field produced by the coil opposes the magnetic field that created it. As a result, the direction of the current in the coil is in the opposite direction to the change in magnetic flux passing through it.
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how much energy is consumed by a 1.0 kw hair dryer used for 13 min ? express your answer with the appropriate units.
The hair dryer consumes 0.217 kilowatt-hours (kWh) of energy when used for 13 minutes. This is a common unit of measurement for electrical energy consumption.
To calculate the amount of energy consumed by a 1.0 kW hair dryer used for 13 minutes, we need to use the formula for electrical energy:
Energy (in kWh) = Power (in kW) x Time (in hours)
First, we need to convert the time from minutes to hours by dividing it by 60:
Time (in hours) = 13 min / 60
= 0.217 hours
Then, we can substitute the power and time values into the formula:
Energy (in kWh) = 1.0 kW x 0.217 hours
= 0.217 kWh
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based on the distance/size ratios for each system, in which system are the objects the most isolated from one another?
Based on the distance/size ratios for each system, the objects that are the most isolated from one another are likely the stars in a galaxy.
This is because stars in a galaxy are typically separated by much larger distances than objects in other systems.
For example, while planets and stars may be relatively close to one another in a solar system, stars in a galaxy can be many light-years apart from each other.
Similarly, moons and planets may be relatively close to one another in a planetary system, but stars in a galaxy are typically much more isolated.
Therefore, based on distance and size ratios, stars in a galaxy are likely to be the most isolated from one another compared to objects in other systems.
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The probable question may be:
based on the distance/size ratios for each system, in which system are the objects the most isolated from one another?
Galaxies, Stars in a Galaxy , Planets and Stars, Moons and Planets
q 10. compare the hydrogen redshift of galaxy 3 to galaxy 1. based on your above investigation with doppler effect, which galaxy is moving away faster?
Based on the investigation above, Galaxy 3 has a higher hydrogen redshift than Galaxy 1. This means that Galaxy 3 is moving away faster than Galaxy
1. The Doppler effect states that the frequency of a wave is higher when the source is moving towards the observer, and lower when the source is moving away from the observer.
This is caused by the source and the observer being in relative motion with respect to each other. In this case, the relative motion between the observer and Galaxy 3 is greater than the relative motion between the observer and Galaxy 1, so the frequency of the light emitted from Galaxy 3 is shifted to a higher frequency than the light emitted from Galaxy 1. This is why Galaxy 3 has a higher hydrogen redshift than Galaxy 1, and is moving away faster.
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An Earth satellite in a circular orbit of radius R has a period T. What is the period of an Earth
satellite in a circular orbit of radius 8R? (hint: solve formula for period and compare to
solving same formula when substituting 8R for r.)
The period of an Earth satellite in a circular orbit of radius 8R is 16 times the period of a satellite in a circular orbit of radius R.
What is the period of an Earth satellite?The period of a satellite in a circular orbit is given by:
T = 2π√(r³/GM)
where;
r is the radius of the orbit, G is the gravitational constant, and M is the mass of the central body (in this case, the Earth).If we substitute 8R for r in this formula, we get:
T' = 2π√((8R)³/GM)
Simplifying this expression, we get:
T' = 2π√(512R³/GM)
T' = 2π√(8³R³/GM)
T' = 2π(8R/√GM)
T' = 16π√(R³/GM)
Comparing this expression to the original formula for T, we see that:
T' = 16T
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nuclear reactions unit test egenuity
A nuclear reactions unit test in edenuity is a type of assessment used to evaluate students' understanding of nuclear reactions.
It typically involves multiple-choice and fill in the blank questions that test the student's knowledge of different types of nuclear reactions, the equations used to calculate them, and the effects of different types of radiation on different materials. The unit test may also include diagrams or simulations of actual nuclear reactions to further test the student's knowledge. The goal of the unit test is to ensure that the student has a comprehensive understanding of nuclear reactions, and to ensure that they are able to apply this knowledge in the real world. The test may also include open-ended questions that ask students to explain nuclear reactions in their own words.
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Someone help me pls!!!
Answer:
Student 2 (B)
Explanation:
ignore the explanation I need 20 characters to add an answer
a he ion (charge e, mass 4u) with an initial speed of 1.0 * 105 m/s is brought to rest by an electric field. a. did the ion move into a region of higher potential or lower potential?
The He ion moved into a region of higher potential.
When the He ion (charge e, mass 4u) with an initial speed of 1.0 * 10⁵ m/s enters an electric field, it experiences a force due to the electric field. Since the ion is positively charged, it is attracted to the negative plate and repelled by the positive plate.
As it moves towards the negative plate, it moves into a region of higher electric potential. This is because the potential difference between the plates causes the ion to decelerate until it comes to rest.
The work done by the electric field on the ion is equal to the change in kinetic energy, which confirms that the ion moved into a region of higher potential.
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calculate the value of δs when 63.0 g of ga(l) solidifies at 29.8 ∘c .
The value of δs when 63.0 g of gallium solidifies at 29.8 °C is approximately 80.3 J/g·°C.
To calculate the value of δs, we need to use the formula:
δs = Q / m
where Q is the heat absorbed during the solidification of the substance and m is the mass of the substance.
The heat absorbed during the solidification of a substance is given by:
Q = ΔHf * n
where ΔHf is the heat of fusion of the substance and n is the number of moles of the substance.
To find n, we can use the formula:
n = m / M
where M is the molar mass of the substance.
The molar mass of gallium is 69.72 g/mol.
Using the given values, we get:
n = 63.0 g / 69.72 g/mol
n ≈ 0.904 mol
The heat of fusion of gallium is 5.59 kJ/mol.
So, Q = 5.59 kJ/mol * 0.904 mol
Q ≈ 5.06 kJ
Now, we can find the value of δs:
δs = Q / m
δs = 5.06 kJ / 63.0 g
δs ≈ 80.3 J/g·°C
Therefore, the value of δs when 63.0 g of gallium solidifies at 29.8 °C is approximately 80.3 J/g·°C.
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you are swinging a yo-yo around in a circle above your head. assume this is a perfect system: the mass of the string is negligible, the yo-yo is a point mass and your arm is a perfectly vertical axis of rotation.given the mass of the yo-yo is m and the length of the string (radius of the circle traced by the yo-yo) is l, you find the moment of inertia to be i. if you double the length of the string, what is the new moment of inertia?
if you double the length of the string, the new moment of inertia is 4 times the initial moment of inertia.
When a yo-yo is swung around in a circle above the head, and it is assumed that it is a perfect system with negligible mass of the string, the yo-yo is a point mass, and the arm is a perfectly vertical axis of rotation, the moment of inertia can be given as `I = ml²`,
where, I is The moment of inertia for a point mass m placed a distance l from the axis of rotation. This formula is based on the assumption that the point mass rotates along an axis perpendicular to the plane of motion.
If the length of the string (radius of the circle traced by the yo-yo) is doubled, the new moment of inertia can be calculated as follows:
I' = m(2l)²
I' = m4l²
Therefore, the new moment of inertia is `4ml²`.
Thus, the new moment of inertia is 4 times the initial moment of inertia.
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assume that the lower leg and the foot together have a combined mass of 4.1 kg , and that their combined center of gravity is at the center of the lower leg. how much force must the tendon exert to keep the leg in this position?
The tendon must exert a force of approximately 20.11 N to keep the leg in this position.
To calculate the force exerted by the tendon to keep the leg in position, we need to find the torque acting on the lower leg and foot due to gravity.
Step 1: Find the gravitational force acting on the lower leg and foot.
Gravitational force (F_gravity) = mass x acceleration due to gravity
[tex]F_gravity = 4.1 kg * 9.81 m/s^2 ≈ 40.22 N[/tex]
Step 2: Determine the distance from the center of gravity to the pivot point (ankle).
Assume that the lower leg is of length L, and the center of gravity is at the middle of the lower leg.
Distance = L/2
Step 3: Calculate the torque acting on the lower leg and foot due to gravity.
[tex]Torque = Gravitational force x Distance[/tex]
[tex]Torque =[/tex] [tex]40.22 N * (L/2)[/tex]
Step 4: Determine the force exerted by the tendon.
The tendon must exert an equal and opposite torque to keep the leg in position. Thus, the torque exerted by the tendon is equal to the gravitational torque.
[tex]Torque_tendon = Torque_gravity[/tex]
[tex]Force_tendon * Lever_arm =[/tex][tex]40.22 N * (L/2)[/tex]
Step 5: Solve for the force exerted by the tendon.
Assuming the lever arm is the entire length of the lower leg (L), we can now solve for the force exerted by the tendon.
[tex]Force_tendon * L = 40.22 N * (L/2)[/tex]
[tex]Force_tendon = (40.22 N * (L/2)) / L[/tex]
[tex]Force_tendon ≈ 20.11 N[/tex]
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how does the linear speed of a child sitting near the center of a rotating merry-go-round compare with that of a dog sitting near the edge of the same merry-go-round?
The linear speed of a child sitting near the center of a rotating merry-go-round is less than the linear speed of a dog sitting near the edge of the same merry-go-round.
Speed is a fundamental concept that refers to how fast an object is moving. It is defined as the distance covered by an object in a given amount of time. The concept of speed is important in many areas of physics, including kinematics, dynamics, and thermodynamics. It is often used to describe the motion of objects, such as cars, airplanes, and particles.
In physics, there are two types of speed: scalar speed and vector speed. Scalar speed is the magnitude of the velocity vector and is measured in units of distance per unit of time. Vector speed, on the other hand, is the speed of an object in a specific direction and is measured in units of distance per unit of time in that direction.
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how does resistance change with temperature? is there more resistance or less resistance at higher temperatures? compare the change in resistance for all the samples.
The resistance of a material increases with increasing temperature. This is due to the fact that temperature increases the movement of atoms in the conductor, causing more collisions and increasing resistance. As a result, resistance decreases as temperature decreases, all other factors being equal.
The change in resistance follows the same pattern For all samples.
As the temperature rises, the resistance increases. This is due to the fact that as the temperature rises, the atoms in the conductor gain more kinetic energy and begin to move around more, causing more collisions and increasing resistance. When the temperature decreases, the atoms slow down and collide less, lowering the resistance.
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A car acquires velocity of 72km/h
in 10s starting from start.. Calculate it's average velocity, acceleration and distance travelled during this period.
Answer:
Avg. Velocity = 10 m/s
Acceleration = 2 m/s^2
Distance = 100 m
Explanation:
First, we need to convert the velocity of the car from km/h to m/s, since the standard unit of velocity in SI units is meters per second.
72 km/h = 20 m/s (to 2 significant figures)
We can now calculate the average velocity of the car using the formula:
average velocity = total distance ÷ total time
Since the car starts from rest, its initial velocity is 0 m/s. Therefore, the total distance it travels during the 10 seconds is:
distance = (1/2) × acceleration × time²
where acceleration is the constant acceleration of the car during the 10 seconds, which we do not know yet.
To find the acceleration, we can use the formula:
final velocity = initial velocity + acceleration × time
The final velocity of the car is 20 m/s (which we calculated earlier), the initial velocity is 0 m/s, and the time is 10 seconds. Therefore:
20 m/s = 0 m/s + acceleration × 10 s
Solving for acceleration:
acceleration = 2 m/s²
Substituting this value of acceleration into the formula for distance, we get:
distance = (1/2) × 2 m/s² × (10 s)² = 100 meters
Therefore, the average velocity of the car during the 10 seconds is:
average velocity = total distance ÷ total time = 100 meters ÷ 10 seconds = 10 m/s
The acceleration of the car during the 10 seconds is 2 m/s², and the distance travelled by the car during this period is 100 meters.
binoculars contain prisms inside that reflect light entering at an angle largerthan the critical angle. if the index of refraction of a glass prism is 1.58, what is the critical angle for light entering the prism?
The critical angle for light to penetrate a glass prism with a 1.58 index of refraction is 40.2 degrees.
The formula for calculating the critical angle is sin(critical angle) = 1/n, where n is the medium's coefficient of refraction.
The critical angle can be determined using the formula sin(critical angle) = 1/1.58 for a glass prism with an index of refraction of 1.58.
Criterion angle sin = 0.6329 When we take the inverse sine of both edges,
Taking the inverse sine of both sides, we get:
critical angle = sin^-1(0.6329)
critical angle = 40.2 degrees
As a result, 40.2 degrees is the critical angle for light to penetrate a glass prism with a 1.58 index of refraction.
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the spacecraft that got the closest to the nucleus of halley's comet and sent back dramatic photographs of what the nucleus looked like was:
The spacecraft that got the closest to the nucleus of Halley's Comet and sent back dramatic photographs of what the nucleus looked like was the European Space Agency's (ESA) Giotto spacecraft.
The Giotto spacecraft was launched on July 2, 1985, and on March 13, 1986, it passed within 596 kilometers (370 miles) of Halley's comet's nucleus. It was able to send back spectacular photographs of the comet's nucleus.
The Giotto mission was a joint European Space Agency (ESA) project with contributions from 14 European countries. It was named after the Italian artist Giotto di Bondone because the probe's camera had the same field of view as the artist's sketch of Halley's comet in 1301.
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traveling at a speed of 21 m/s, the driver of a car suddenly locks the wheels by slamming on the brakes. the coefficient of kinetic friction between the tires and the road is 0.72. how much time does it take for the car to come to stop?
A vehicle is going at 21 m/s when the driver abruptly slams on the brakes locking the wheels. The tires and the road's kinetic friction coefficients are both 0.72. It takes the car 2.76 seconds to come to a stop.
When a car is moving and the driver slams on the brakes, the kinetic friction between the tires and the road will cause the car to decelerate. The force of friction can be calculated using the equation:
f_k = μ_k × N
where f_k is the force of kinetic friction, μ_k is the coefficient of kinetic friction, and N is the normal force (equal to the weight of the car) acting on the car.
The force of friction is equal and opposite to the force applied by the brakes, so we can write:
f_k = ma
where m is the mass of the car and a is its acceleration.
Combining these equations and solving for a, we get:
a = -μ_k × g
where g is the acceleration due to gravity (9.81 m/s^2) and the negative sign indicates that the car is decelerating.
The time it takes for the car to come to a stop can be found using the equation:
v = u + at
where v is the final velocity (zero in this case), u is the initial velocity (21 m/s), a is the acceleration (-μ_k × g), and t is the time.
Substituting the given values, we get:
0 = 21 m/s + (-μ_k × g) × t
Solving for t, we get:
t = -21 m/s / (-μ_k × g)
= 2.76 s
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two kids are on a seesaw that is 4m long. if the one boy has a mass of 50kg and the other is 30kg. how far from the center should the bigger boy sit if the smaller one is 3.5 m from the far end of the seesaw?
Two kids are on a seesaw that is 4m long. if the one boy has a mass of 50kg and the other is 30kg. The bigger boy should sit 1.04 meters from the center if the smaller one is 3.5 m from the far end of the seesaw.
Let the bigger boy sit at x meters from the center.
Now, we can say that the smaller boy sits at (4 - 3.5) = 0.5 meters from the center.
The principle of moments states that the sum of moments acting on an object is equal to zero.
Hence, we can say that
(50)(x) = (30)(0.5) (4 - x)
Simplifying the above equation, we get:
50x = 60 - 7.5x
57.5x = 60
x = 60 / 57.5
x ≈ 1.04 meters
Hence, the bigger boy should sit 1.04 meters from the center.
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