The density, D = m/V = 45.93/0.0225 = 2041.33 g/cm3.
What is density?Density is a measure of mass per unit volume. It is defined as the mass of an object divided by its volume. Density is an important physical property of matter, as it affects the behavior of objects in different environments. Density is also a useful tool for measuring the concentration of a particular object or material. The higher the density of an object, the more mass it has for a given volume. Density is typically expressed in kilograms per cubic meter (kg/m3).
To calculate the density of the table tennis ball, we need to know the mass and volume of the ball. The mass of the table tennis ball is 2.7g, and the volume is 0.0067cm3. To calculate the density, we divide the mass by the volume, so D = m/V = 2.7/0.0067 = 402.99 g/cm3.
To calculate the density of the golf ball, we need to know the mass and volume of the ball. The mass of the golf ball is 45.93g, and the volume is 0.0225cm3. To calculate the density, we divide the mass by the volume, so D = m/V = 45.93/0.0225 = 2041.33 g/cm3.
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Starting from rest, a 4-kg block slides 10m down a frictionless 30° incline.
Determine the work done on the block by the force of gravity, the normal force, the net force, and the KE of the block at the end of the 10m slide
Answer:
The work done on the block by the force of gravity is 392.4 J. The work done by the normal force is zero. The work done by the net force is equal to the change in kinetic energy of the block. At the end of the slide, the block has a kinetic energy of (1/2)mv^2, where v is the speed of the block.
Explanation:
Review Constants Two 6.0cm x 6.0cm metal electrodes are spaced 1.0 mm apart and connected by wires to the terminals of a 9.0 V battery. What is the charge on each electrode? Express your answer with the appropriate units. μΑ ? o и M 2 % Value Units Submit Previous Answers Request Answer X Incorrect; Try Again; 2 attempts remaining
8.09 C of charge is present on each electrode.
How charged are the electrodes? Use the relevant units to express your response. μA ?Each electrode has an 8.09 C charge (microcoulombs).
Using the equation Q = CV, where Q denotes the charge, C the capacitance, and V the potential difference, this may be determined. The formula C = A/d can be used to compute capacitance, where A is the area of the electrodes, d is the distance between them, and is the permittivity of free space.
We may calculate C as follows by plugging in the supplied values: C = (8.85 x 10-12 F/m)(0.06 m x 0.06 m)/(0.001 m) = 3.186 x 10-11 F.
Once this is done, Q = CV = (3.186 x 10-11 F)(9.0 V) = 2.8674 x 10-10 C = 8.09 C.
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according to this account, what events led to war between ethiopia and italy
The conflict between Ethiopia and Italy in 1935-36 began with Italy's imperialist expansionist ambitions in East Africa.
In 1896, Ethiopia had successfully resisted Italian colonialism in the Battle of Adwa. However, under the rule of fascist leader Benito Mussolini, Italy sought to establish a new colonial empire and to avenge its defeat.
Italy had been planning the invasion for several years. Italy used modern weapons, including aircraft and tanks, against the poorly equipped Ethiopian forces, and after several months of fighting, Ethiopia was defeated and subsequently occupied by Italy. The war resulted in the deaths of tens of thousands of Ethiopians and Italians and had far-reaching political and economic consequences for both countries.
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--The complete question is, What events led to war between ethiopia and italy?--
what does experimental data help reveal?
experimental results assist in illuminating the experiment's accuracy, the data collected in both quantitative and qualitative ways.
In order to cause and assess change or to create difference when a variable is changed, experimental data are gathered by active researcher intervention. Data from experiments are frequently projectable to a broader population and enable the researcher to identify a causal relationship. Errors are found and rejected using a statistical analysis of experimental data. The inaccuracies are due to measurement system faults or human error, such as choosing the incorrect experimental design. In science and engineering, experimental data are results from measurements, tests, experimental designs, or quasi-experimental designs. In clinical research, every piece of information generated comes from a clinical trial. The variables that affect findings are firmly under the control of researchers. The subject has no bearing on how well an experiment works. It can be used by anyone for academic study. Results are particular.
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How to convert 97.9 f to c
97.9°F is equivalent to 36.6°C.
A temperature unit developed from the SI (International System of Units) is Celsius (symbol: °C).
Prior to the adoption of the metric system, Fahrenheit (symbol: °F) was a commonly used measurement of temperature.
To convert Fahrenheit (°F) to Celsius (°C) we have to first subtract 32 from Fahrenheit and then multiply it by .5556 or 5/9.
We have to convert 97.9 degrees Fahrenheit (°F) to Celsius (°C),
We can use the following formula:
°C = (°F - 32) x 5/9
As per the given information,
°F = 97.9
Substituting the value 99.3 for °F,
We get:
°C = (97.9 - 32) x 5/9
°C = 36.6
Therefore, 97.9°F is equivalent to 36.6°C.
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To convert 97.9 degrees Fahrenheit to Celsius, use the formula C = (F - 32) * 5/9. After plugging in the F value, it's found that 97.9 degrees Fahrenheit is approximately 36.6 degrees Celsius.
Explanation:This involves Mathematics in the form of formula application. The question is asking how to convert 97.9 Fahrenheit (F) to Celsius (C). The formula to do this is: C = (F - 32) * 5/9. Plugging in the Fahrenheit value, we get:
C = (97.9 - 32) * 5/9
. This simplifies to:
C = 65.9 * 5/9
. Finishing the calculation, we get:
C ≈ 36.6
. Thus, 97.9 degrees Fahrenheit is approximately 36.6 degrees Celsius.
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what is 120 °F to °C?
Celsius (°C) and Fahrenheit (°F) -273.15°C, or -459.67°F; -50°C, or -58.0°F; -40°C, or -40.0°F; -30°C, or -22.0°F; -20°C, or -4.0°F; and -10°C, or 14.0°F.
Incomplete: °
For reference, 48.89 °C, or 120 °F, is the temperature in Celsius.
To convert a degree in Fahrenheit to a degree in Celsius, use the Fahrenheit to Celsius formula. Celsius is calculated as [(°F-32)5]/9 in Fahrenheit. Add 32 and multiply the result by.5556 (or 5/9) to convert degrees Fahrenheit to Celsius. Simply multiply the result by 1.8 (or 9/5) and add 32 to get the temperature in Fahrenheit. As opposed to 180 degrees on the Fahrenheit scale, 100 degrees on the Celsius scale separates the freezing point and boiling point of water.
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What is the lowest frequency of light
The lowest frequency of light that can exist is zero hertz (Hz), which is also known as direct current (DC).
This is because light is a type of electromagnetic radiation that consists of oscillating electric and magnetic fields. These fields oscillate at a certain frequency, and the frequency determines the energy and properties of the light.
However, in the absence of any oscillation, there is no frequency and hence no light. In other words, the lowest frequency of light is no light at all.
It's worth noting that there are other forms of electromagnetic radiation that have frequencies lower than visible light, such as radio waves and microwaves. These types of radiation have frequencies that range from about 3 kilohertz (kHz) to several gigahertz (GHz).
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1-1 a given voltage source has an ideal voltage of 12 v and an internal resistance of 0. 1 v. For what values of load resistance will the voltage source appear stiff
The values of load resistance that will the voltage source appear stiff is 1 ohm or larger
A voltage source is said to be "stiff" if its output voltage does not vary much with changes in the load resistance. In other words, the output voltage remains relatively constant even if the load resistance changes.
To determine the values of load resistance for which the voltage source appears stiff, we can use the following formula:
Vout = Voc × Rload / (Rload + Rint)
where Vout is the output voltage, Voc is the open circuit voltage (the voltage across the terminals when there is no load), Rload is the load resistance, and Rint is the internal resistance of the voltage source.
If we want the voltage source to appear stiff, we want the output voltage to remain relatively constant as the load resistance changes. This means that the denominator of the above formula (Rload + Rint) should be much larger than the numerator (Rload). In other words, Rint should be much smaller than Rload.
In this case, the internal resistance Rint is 0.1 ohms. So, for the voltage source to appear stiff, we want the load resistance Rload to be much larger than 0.1 ohms.
One way to quantify "much larger" is to use a rule of thumb that Rload should be at least 10 times larger than Rint. So, in this case, we want:
Rload >= 10 × Rint
Rload >= 1 ohm
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if the temp outside increased 10 degrees C, how would dew point change?
stay the same
The change in dew point depends on a number of factors, such as the humidity of the air and the amount of moisture in the air.
If the temperature outside increases by 10 degrees C, the air will become warmer and more humid, which will increase the dew point. Generally speaking, the higher the temperature, the higher the dew point. If the humidity and moisture content of the air remain the same, then a 10 degree C increase in temperature would result in a corresponding increase in dew point. The change in dew point would depend on the existing atmospheric conditions at the time. Dew point is the temperature at which the air becomes saturated with water vapor and the vapor begins to condense and form dew.
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a small car (mass 380. kg) is pushing a large truck (mass 900. kg) due east on a level road. the car exerts a horizontal force of 2345 n on the truck. if the truck is accelerating at 2.50 m/s2, what is the magnitude of the net force on the truck?
The magnitude of the net force on the truck is 2070.5 N.
What is frictional force?Frictional force is the force that opposes motion or attempted motion between two surfaces in contact. It arises as a result of the interlocking of irregularities on the surfaces in contact, and it acts in the direction opposite to the direction of motion or attempted motion.
Frictional force can be classified into two types: static friction and kinetic friction. Static friction is the force that prevents an object from moving when a force is applied to it, while kinetic friction is the force that opposes the motion of an object that is already in motion.
The normal force is equal to the weight of the truck, which can be calculated as:
weight = mass x gravity
where gravity is approximately 9.81 m/s^2.
So the weight of the truck is:
weight = 900 kg x 9.81 m/s^2 = 8829 N
Therefore, the normal force is:
normal force = weight = 8829 N
And the frictional force is:
frictional force = 0.5 x 8829 N = 4414.5 N
Next, we can find the net force on the truck by subtracting the force of friction from the force exerted by the car:
net force = 2345 N - 4414.5 N = -2070.5 N
Note that the negative sign indicates that the net force is in the opposite direction to the force exerted by the car, which makes sense since the truck is slowing down.
Finally, we can use Newton's second law to find the acceleration of the truck:
net force = mass x acceleration
-2070.5 N = 900 kg x acceleration
acceleration = -2.3 m/s^2
Again, the negative sign indicates that the truck is slowing down.
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how much work must be done to stretch this spring by 0.050 m from its unstretched length?
Set up the experiment as follows:
Make a small hole in the cardboard. It should be ½ inch from one edge and centered.
Pull the string or thread through the hole in the cardboard, and tie the ends together to form a loop.
Slide a large paperclip onto the string, and bend one end out slightly to act as a hook.
Place a nonbreakable object, such as a kitchen utensil, on the cardboard.
Select two nonbreakable objects with holes that can be hung on the hook.
What two objects will you select to hang on the hook?
The two objects will you select to hang on the hook are a key ring, a small metal ring, and a plastic toy with a hole,
To set up this experiment, you will need to select two nonbreakable objects with holes that can be hung on the hook. Some possible options include a key ring, a small metal ring, a plastic toy with a hole, or a small plastic container with a hole.
Here is an example of how you could set up the experiment:
1. Make a small hole in the cardboard, ½ inch from one edge and centered.
2. Pull the string or thread through the hole in the cardboard, and tie the ends together to form a loop.
3. Slide a large paperclip onto the string, and bend one end out slightly to act as a hook.
4. Place a nonbreakable object, such as a kitchen utensil, on the cardboard.
5. Select two nonbreakable objects with holes that can be hung on the hook. In this example, we will use a key ring and a small metal ring.
6. Hang the key ring on the hook, and observe how the cardboard and string behave.
7. Remove the key ring, and hang the small metal ring on the hook. Observe how the cardboard and string behave.
By comparing the behavior of the cardboard and string with the different objects, you can learn about the effects of weight and balance on the system. Remember to be careful when selecting objects to hang on the hook, as you want to avoid anything that could break or cause injury.
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(5 points) a map of equipotential curves has places in which the curves are much closer together than in other regions. is the field strong or weak where the curves are close together? explain why.
Answer: It is stronger
Explanation: The electric field=ΔV/Δl where l is the distance between the equipotential lines. Electric field strength is inversely proportional to the change in distance between the lines, so as the distance between the lines shrinks( become closer together) the electric field strength increases given that ΔV remains constant.
If Alex wishes to rotate his skateboard, then he must apply a- pause before bearing down on the board.- torque- rotational maneuver
If Alex wishes to rotate his skateboard, he must apply a torque where the axis is the central axis of the skateboard.
If Alex wishes to rotate his skateboard, he must apply a torque. Torque is the twisting force that causes an object to rotate around an axis. In this case, the axis is the central axis of the skateboard.
To apply torque, Alex needs to apply a force to the skateboard that is perpendicular to the axis of rotation. This force will cause the skateboard to start rotating. However, just applying a force may not be enough to complete the rotation. Alex also needs to control the direction and speed of the rotation.
To do this, he may need to pause before bearing down on the board. This pause allows him to position his body and feet properly for the maneuver. Once he is in the right position, he can then apply the necessary force to initiate the rotation.
The rotational maneuver involves shifting the weight of the body and the position of the feet while the skateboard is rotating. By controlling the direction and speed of the rotation with the torque, Alex can perform various types of rotational maneuvers such as a kickflip, heelflip, or 360 spin.
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the quantity with the same units as force times time, ft, with dimensions mlt−1 is what?
The quantity with the same units as force times time (ft) and dimensions of MLT^(-1) is momentum.
Momentum is defined as the product of an object's mass and its velocity. Its units in the SI system are kilogram meters per second (kg m/s).
To see why momentum has the same units as force times time, we can use the definition of force, which is the rate of change of momentum.
F = dp/dt
where F is force, p is momentum, and t is time. Rearranging this equation, we get:
F * t = dp
where F * t is force times time (ft) and dp is the change in momentum. Therefore, force times time has the same units as momentum, which is MLT^(-1).
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Which job can a capacitor perform in electrical work?
a. Produce large current pulses
b. Timing circuits
c. Power factor correction
Option C) power factor correction is correct, where capacitor does work by storing and releasing energy to improve AC circuits power factor.
A capacitor is a device used in electrical circuits to store and release electrical energy. It is an essential component in many electrical systems and can perform various functions, including producing large current pulses, timing circuits, and power factor correction.
Option (c) Power factor correction is a job that a capacitor can perform in electrical work. In AC circuits, the power factor is the ratio of the real power (in watts) to the apparent power (in volt-amperes), and it measures the efficiency of power utilization in the circuit. When the power factor is less than unity, it means that the circuit is less efficient and is wasting energy.
Capacitors can be used to correct the power factor in AC circuits by storing and releasing energy to offset the reactive power, which results from the lag between the voltage and current waveforms. By doing so, the power factor can be increased to unity, making the circuit more efficient and reducing energy waste. Capacitors used for power factor correction are called power factor correction capacitors, and they are widely used in industries, power plants, and large commercial buildings to improve the power factor of electrical systems.
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What is onlie calculator of simpson's rule
An online calculator of Simpson's rule is a tool available on various websites that allows you to approximate the definite integral of a function using Simpson's rule.
Simpson's rule is a numerical integration technique that approximates the area under a curve by fitting a second-degree polynomial (i.e., a parabola) to three consecutive points on the curve, and then integrating the polynomial over the interval of interest.
The formula for Simpson's rule can be expressed as follows:
∫_a^b f(x) dx ≈ (b-a)/6 [f(a) + 4f((a+b)/2) + f(b)]
where f(x) is the function to be integrated, a and b are the limits of integration, and the approximation sign indicates that the formula is an approximation of the exact value of the integral.
Online calculators of Simpson's rule typically have fields for entering the function to be integrated, the limits of integration, and the number of subintervals (i.e., the number of parabolas to be used in the approximation). The calculator then applies Simpson's rule to the function over the specified interval, and returns an approximate value of the definite integral.
Some online calculators of Simpson's rule may also provide additional features, such as graphing the function and the approximation, or comparing the results of Simpson's rule to other numerical integration techniques.
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what is r gas constant in atm
The gas constant "R" is a physical constant that relates the properties of an ideal gas to the amount of the gas present, its pressure, volume and temperature.
The value of R depends on the units used for pressure, volume, and temperature.When pressure is measured in atmospheres (atm), volume is measured in liters (L), and temperature is measured in kelvin (K), the value of the gas constant is approximately 0.0821 L·atm/(mol·K).
The exact value of the gas constant R depends on the unit system used. For example, if pressure is measured in pascals (Pa), volume is measured in cubic meters (m³), and temperature is measured in kelvin (K), then the value of R is 8.314 J/(mol·K).
Similarly, if pressure is measured in pounds per square inch (psi), volume is measured in cubic feet (ft³), and temperature is measured in Rankine (R), then the value of R is 10.73 (ft·lbf)/(mol·R).
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double-paned thermal insulating windows consist of two glass panels separated by a narrow gap from which most of the air has been removed to create a near vacuum in the space between the panes. explain how this design helps to better insulate a home than a window that is made from a single sheet of glass. (select all that apply.)
The vacuum that exists between the two glass panes functions as a very effective insulator. There is less heat loss through conduction thanks to the double-paned glass.
What is conduction?Conduction is the process through which heat or electrical energy is transferred directly between two materials. When there is a temperature difference between two objects, heat conduction takes place and heat moves from the object with the higher temperature to the object with the lower temperature. The rate of heat conduction is affected by a number of variables, including the temperature gradient, the materials' thermal conductivity, and the surface area in contact. The transmission of electric charges or current through a medium that can conduct electricity, such as metals or electrolytes, is referred to as electrical conduction. The electrical resistance of the material and the voltage are used to determine the rate of electrical conduction.
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What is coefficient of friction formula?
The formula for calculating the coefficient of friction is given by:
μ = F / N.
The coefficient of friction formula is a mathematical equation used to calculate the amount of frictional force that exists between two surfaces in contact with each other.
The coefficient of friction is a dimensionless quantity that represents the ratio of the frictional force between two surfaces to the normal force pressing them together.
The formula for calculating the coefficient of friction is given by:
μ = F / N
where μ is the coefficient of friction, F is the frictional force acting between the two surfaces, and N is the normal force pressing the surfaces together.
The coefficient of friction can have values ranging from 0 to 1. A value of 0 indicates no friction between the surfaces, while a value of 1 indicates maximum friction. The coefficient of friction is an important parameter in many engineering and physics applications, such as in designing brakes for vehicles and calculating the force required to move objects over different surfaces.
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Light is made of discrete packets of energy called_________
Answer:
Photons.
Explanation:
find acceleration with mass and distance
Acceleration with mass and distance formula is Acceleration = net force/mass.
Acceleration is a change in the motion of an object, such as Mccoy speeding up on his skateboard. When an object is acted on by an unbalanced force, it accelerates. The greater the net force, the greater its acceleration, but mass also influences acceleration.
The greater the acceleration for the given magnitude of force, the smaller the mass. These relationships are summarised by Newton's second law of motion. This law states that an object's acceleration equals the net pressure placed on it divided by its mass.
It is frequently easier to measure an object's mass and acceleration than for the net force exerted on it. A balance can be used to measure mass, but instead, average acceleration can also be calculated using velocity and time.
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A difference between linear momentum and angular momentum involves...
Answer:
Both are analogous terms.
Explanation:
Linear momentum is used to refer to a body moving on a straight path whereas angular momentum is used for a body moving on a circular path.
a fishing pole is 2.00m long and inclined to the horizontal at an angle of 20 degrees. what is the torque exerted by the fish about an axis perpendicular to the page and passing through the hand of the person holding the pole?
The torque exerted by the fish about an axis perpendicular to the page and passing through the hand of the person holding the pole is approximately 6.84 N·m.
What is Torque?
It is commonly denoted by the symbol τ (tau) and is given by the product of the force .
The torque exerted by the fish about an axis perpendicular to the page and passing through the hand of the person holding the pole can be calculated using the formula:
τ = r × F × sin(θ)
where τ is the torque, r is the lever arm or the distance between the axis of rotation and the point where the force is applied, F is the force applied, and θ is the angle between the lever arm and the direction of the force.
In this case, the force applied is the force exerted by the fish on the fishing line, and the lever arm is the distance between the axis of rotation (the hand of the person holding the pole) and the point where the force is applied (the end of the fishing pole).
We can find the lever arm using trigonometry:
r = L × sin(θ)
where L is the length of the fishing pole.
Substituting the given values, we get:
r = 2.00 m × sin(20°) ≈ 0.684 m
Now we need to determine the force applied by the fish on the fishing line. This will depend on the weight of the fish and the tension in the fishing line. Without more information, we cannot calculate this force.
Assuming a force of 10 N, for example, we can calculate the torque as:
τ = 0.684 m × 10 N × sin(90°) = 6.84 N·m
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According to Boyle's Law, the volume of a gas varies directly with its pressure when the temperature is held constant. (true or false)
It is false that, while the temperature is held constant, Boyle's Law states that a gas's volume varies directly with its pressure.
Boyle's Law is a fundamental principle in chemistry that describes the behavior of gases at constant temperature. According to the law, the volume of a gas at a given temperature is inversely proportional to the pressure it exerts (this rule was established by Robert A. Boyle in 1662).
However, the above statement contains the false assertion that the volume of a gas is directly related to its pressure as long as the temperature remains constant.
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Speed of sound temperature based problem. What is the speed of sound at 21 ∘C? For a frequency of 3 kHz, how large do you expect the wavelength to be?
__________________________ m/s (express your answer in integral form)
___________________________ m (express your answer with 2 decimal place)
The speed of sound at 21∘C is approximately 344.1 m/s. For a frequency of 3 kHz, the wavelength is approximately 0.11 meters.
The formula for the speed of sound in air is given by,
v = 331.5 + 0.6T
where v is the speed of sound in meters per second, and T is the temperature in degrees Celsius.
Plugging in T = 21∘C,
v = 331.5 + 0.6(21) = 331.5 + 12.6 = 344.1 m/s
The wavelength of a sound wave is,
λ = v/f
where λ is the wavelength in meters, v is the speed of sound in meters per second, and f is the frequency in hertz.
Plugging in v = 344.1 m/s and f = 3 kHz (or 3000 Hz),
λ = 344.1/3000 = 0.1147 m
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negatively charged particles emitted from a nucleus at a high speed are called__
The negatively charged particles emitted from a nucleus at a high speed are called Beta particles.
Beta particles are small, fast-moving particles that become negatively charged when atoms undergo radioactive decay. These particles are emitted by a number of unstable elements' nucleus, including strontium-90, carbon-14 and hydrogen-3 (tritium).
Beta particles, also known as beta rays or beta radiation, are high-energy, fast-moving electrons or positrons released during the radioactive decay of atomic nuclei. Beta decay occurs in two ways: - decay and + decay, which lead to the creation of electrons and positrons, respectively.
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what is unit for impulse?
An impulse is a sudden force that affects an object for a brief period of time. It is a vector quantity and Newton-seconds (Ns), or kg/m/s, is the unit of impulse in the SI system.
A measurement that describes the impact of a force acting on an item for a specific amount of time is known as a "impulse." Given that it has both a magnitude and a direction, it is a vector quantity. The letter "J" is used to denote it. The force operating on the object and the length of time it is acting are multiplied to create the impulse in mathematics.
Hence, it can be expressed as J=F.t. An object experiences an impulse, which causes a change in the vector's linear momentum in the same direction. Newton Second is the S.I. unit of impulse, and it is denoted by the symbol (N-s). The impulse momentum theorem states that an object's change in momentum is equal to the impulse applied on it.
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The cheetah can run 103 km/h, a falcon can
fly 148 km/h, and a sailfish can swim 92 km/h.
The three of them run a relay with each covering a distance L at maximum speed.
What is the average speed of this relay
team?
Answer in units of km/h.
Answer: 109.9 km/h
Explanation:
To find the average speed of the relay team, we need to determine the total distance covered by the three animals and the time it takes for them to complete the race. Assuming each animal runs/swims at maximum speed for distance L, we can calculate the time it takes for each animal to complete its part of the relay as:
Cheetah: Time taken = Distance / Speed = L / 103
Falcon: Time taken = Distance / Speed = L / 148
Sailfish: Time taken = Distance / Speed = L / 92
Since the three animals take turns to complete the race, the total time taken for the relay race would be the sum of the time taken by each animal:
Total time taken = L/103 + L/148 + L/92
To find the average speed, we need to divide the total distance covered (3L) by the total time taken:
Average speed = Total distance / Total time
= 3L / (L/103 + L/148 + L/92)
= 3 / (1/103 + 1/148 + 1/92)
= 109.9 km/h (rounded to one decimal place)
Therefore, the average speed of the relay team is approximately 109.9 km/h.
Regenerate response
A baseball is thrown straight up with a velocity of 60 m/s. C) how many seconds later will the baseball reach its maximum height?
The baseball will reach its maximum height after approximately 6.11 seconds using equations of motion where velocity is given
When a baseball is thrown straight up with an initial velocity of 60 m/s, it will eventually reach a maximum height before falling back down due to gravity. To determine how many seconds later the baseball will reach its maximum height, we need to use the equations of motion.
The equation we can use to find the time taken for the baseball to reach its maximum height is:
t = Vf / g
where t is the time taken, Vf is the final velocity (which is zero at the maximum height), and g is the acceleration due to gravity, which is approximately [tex]9.81 m/s^2[/tex].
Substituting:
t = 60 / 9.81
t ≈ 6.11 seconds
Therefore, the baseball will reach its maximum height after approximately 6.11 seconds. After this point, the baseball will begin to fall back down to the ground due to the force of gravity, with its velocity increasing at a rate of [tex]9.81 m/s^2[/tex]
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