Time required : 3 s
Further explanationPower is the work done/second.
\(\tt P=\dfrac{W}{t}\\\\P=power,j/s,watt\\\\W=work, J\\\\t=times=s\)
To do 33 J of work with 11 W of power
P = 11 W
W = 33 J
\(\tt t=\dfrac{W}{P}\\\\t=\dfrac{33}{11}\\\\t=\boxed{\bold{3~s}}\)
Suppose we want to calculate the moment of inertia of a 68. 5 kg skater, relative to a vertical axis through their center of mass.
A. First calculate the moment of inertia (in kg⋅m2) when the skater has their arms pulled inward by assuming they are cylinder of radius 0. 115 m. Ib = 0. 453 This was correct. I cannot figure part B
B. Now calculate the moment of inertia of the skater (in kg⋅m2) with their arms extended by assuming that each arm is 5% of the mass of their body. Assume the body is a cylinder of the same size, and the arms are 0. 875 m long rods extending straight out from the center of their body being rotated at the ends
The moment of inertia of the skater when their arms are extended is 2.724 kg·m².
In the given question, the mass of the skater is 68.5 kg. The radius of cylinder, r = 0.115 m. The length of arm, l = 0.875 m. The percentage of mass in each arm is 5%.
The moment of inertia of a skater when the arms are pulled inward is given as: I_b = 0.453 kg.m²
Let's calculate the moment of inertia of the skater when the arms are extended. The skater is considered to be composed of two parts, body and arms.
The moment of inertia of the body can be calculated as:
I_b = (1/2) M_b R_b² ... (1)
Here, M_b is the mass of the body, and R_b is the radius of the body. The given radius, r = 0.115 m is the radius of the body. Therefore, R_b = 2r = 0.23 m. The mass of the body can be calculated as:
M_b = (1 - 0.05) M = 0.95 (68.5 kg) = 65.075 kg.
Substituting these values in equation (1), we get:
I_b = (1/2) × 65.075 × (0.23)²= 1.106 kg.m²
The moment of inertia of each arm can be calculated as:
I_a = (1/3) M_a L_a² ... (2)
Here, M_a is the mass of each arm, and L_a is the length of each arm. The percentage of mass in each arm is 5%. Therefore, the mass of each arm can be calculated as:
M_a = 0.05 M = 0.05 (68.5 kg) = 3.425 kg.
Substituting the given values in equation (2), we get:
I_a = (1/3) × 3.425 × (0.875)²= 0.809 kg.m²
The total moment of inertia of the skater is given by: I = I_b + 2I_a (since there are two arms) = 1.106 + 2(0.809) = 2.724 kg.m²
Therefore, the moment of inertia of the skater when their arms are extended is 2.724 kg·m².
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A truck travels on a straight road at a velocity of 17 meters per second. Over 20 seconds, it accelerates uniformly to 27 meters per second. What was the acceleration of the truck in m/s2?.
A truck travels on a straight road at a velocity of 17 meters per second. Over 20 seconds, it accelerates uniformly to 27 meters per second. The acceleration of the truck was 0.5 m/s^2
The velocity of the truck after 20 seconds is 27 m/s and its initial velocity was 17 m/s, so the change in velocity is:
Δv = 27 m/s - 17 m/s = 10 m/s
The acceleration can be calculated as the change in velocity divided by the time it took to change, so:
a = Δv / t = 10 m/s / 20 s = 0.5 m/s^2
Acceleration is a measure of the rate of change of velocity over time. It is a vector quantity, meaning it has both magnitude and direction, and is defined as the derivative of velocity with respect to time. In other words, acceleration is the rate at which an object's velocity is changing. If an object is moving in a straight line and its velocity is increasing, then it is accelerating. If the velocity is decreasing, then the object is decelerating.
Acceleration has units of meters per second squared (m/s^2). Positive acceleration means an increase in velocity, while negative acceleration means a decrease in velocity. For example, when an object is accelerating upwards, its acceleration is positive, while when it is falling, its acceleration is negative.
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xercise 7:
When a piece of wood is distorted by a karate chop, the top of the board is
compressed while the bottom is stretched as shown. Therefore, you must first
consider the change in length of the bottom of the board where the break
begins. Chantal is a black belt in karate and she breaks a 30.0-cm piece of
wood with a force of 70.0 N, changing it in length by 4.0 x 10-4 cm. What is
the cross-sectional area of the piece of wood? (Ywood = 1.0 x 10° N/m2)
Answer:
The cross-sectional area of the piece of wood is approximately 1.17 cm^2. To find the cross-sectional area, we can use the formula for stress:
Stress = Force / Area
Rearranging the formula, we have:
Area = Force / Stress
Given:
Force = 70.0 N
Stress = Ywood = 1.0 x 10^9 N/m^2 (1.0 x 10^9 N/m^2 = 1.0 x 10^9 Pa)
Converting the length change from cm to meters:
Length change = 4.0 x 10^-4 cm = 4.0 x 10^-6 m
Now, we can calculate the area:
Area = Force / Stress
Area = 70.0 N / (1.0 x 10^9 N/m^2)
Area = 7.0 x 10^-8 m^2
Converting the area from square meters to square centimeters:
Area = 7.0 x 10^-8 m^2 = 7.0 x 10^-6 cm^2
Therefore, the cross-sectional area of the piece of wood is approximately 1.17 cm^2.
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which statements accurately describe mechanical waves
Answer:
Explanation:
so a mechanical wave transfers energy through a medium but unlike other waves that move through very long distances
the distance of the mechanical wave is different
A copper rod with a mass of 0.300 kg slides on parallel horizontal steel rails, 0.400 m apart, and carries a current of 13.0 A. The coefficient of friction between the rod and rails is 0.360. What vertical, uniform magnetic field is needed to keep the rod moving at a constant speed
A vertical, uniform magnetic field of 0.079 Tesla is needed to keep the copper rod moving at a constant speed on the steel rails.
Given,
μ = 0.360
m = 0.300 kg
g = 9.8 m/s²
I = 13.0 A
L = 0.400 m
To keep the copper rod moving at a constant speed on the steel rails, the magnetic force exerted on the rod should balance the force of friction.
The magnetic force on a current-carrying wire in a magnetic field can be calculated using the equation: Fm = BIL
The force of friction can be calculated using the equation: Ff = μN
The normal force N is equal to the weight of the copper rod, which can be calculated using the equation: N = mg
Now, since the rod is moving at a constant speed, the forces in the horizontal direction should balance: Fm = Ff
Substituting the equations: BIL = μmg
B = (μmg) / (IL)
B = (0.360 × 0.300 kg × 9.8 m/s²) / (13.0 A × 0.400 m)
B = 0.079 T (Tesla)
Therefore, a vertical, uniform magnetic field of 0.079 Tesla is needed to keep the copper rod moving at a constant speed on the steel rails.
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Gravity, mass and weight
___________ measures how much material an object is made of. It is measured in ____________________. Weight measures the ________________ of gravity on an object. Because weight is a _______________ it is measured in _______________. Mr ___________ is the best physics teacher in the world
mass measures how much material an object is made of. It is measured in kg. Weight measures the Force of gravity on an object. Because weight is a mass times acceleration due to gravity it is measured in Newton . Mr. Walter lewin is the best physics teacher in the world.
Gravity is a basic interaction in physics that creates mutual attraction between all entities that have mass or energy[clarification required]. By far the weakest of the four fundamental interactions, gravity is approximately 1038 times weaker than the strong interaction, 1036 times weaker than the electromagnetic force, and 1029 times weaker than the weak interaction. As a result, it has no effect at the level of subatomic particles. Gravity, on the other hand, is the most significant interaction between things on the macroscopic scale, determining the motion of planets, stars, galaxies, and even light. Weight measures the Force of gravity on an object.
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use the 1st law of thermodynamics to derive a simplified equation for a turbine that explains its performance based on inlet (1) and outlet (2) conditions.
Energy can neither be created nor destroyed, but it can be transferred. First law of thermodynamics.
What is energy?This is the ability or capacity to do work. we know that the first law of thermodynamics explains energy conservation. thus, energy can neither be created nor destroyed.
Also, Zeroth's law of thermodynamics talks about the thermal equilibrium of two or more bodies. thus, if body A and Body B are in thermal equilibrium with body C. that body A, B, and C are all in thermal equilibrium with each other.
Again, the second law of thermodynamics says more about heat direction.
Therefore, the thermodynamics supports that the heat cannot be transferred from a colder to a hotter body.
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10 solve the following humeric problem - S. a What is the lift height of salu? T. object energy required to 25 kg to mass of a 10 m.
\(\boxed{\sf E_P=mgh}\)
\(\\ \sf\longmapsto E_P=25(10)(10)\)
\(\\ \sf\longmapsto E_P=25(100)\)
\(\\ \sf\longmapsto E_P=2500J\)
Which diagram represents an open circuit?
A. Circuit D
B. Circuit C
C. Circuit B
D. Circuit A
a swimmer completes 10 laps in a 50 m swimmings pool, what were thelinear disatance and linear displacemetn
Answer:
Explanation:
Linear disatance:
D = 50·10 = 500 m
The linear movement is zero because the start point and finish point are the same
A key joint in a precision machining process has a lower specification limit of a width of 0.98 mm and an upper specification limit of 1.01 mm. The standard deviation is 0.001 mm and the mean is 1 mm. What is the process capability index for the precision machining process? Is the process capable of meeting requirements? 0.50: Yes 5: No 5: Yes 0.50; No
The process capability index for the precision machining process is 0.50. Based on this value, the process is capable of meeting the requirements.
The process capability index (Cpk) is a statistical measure that evaluates the ability of a process to consistently produce output within the specified limits. It takes into account the variability of the process, as well as the distance between the process, mean, and specification limits.
To calculate the process capability index, we use the following formula:
Cpk = min[(USL - μ) / (3σ), (μ - LSL) / (3σ)]
Where:
USL = Upper Specification Limit (1.01 mm)
LSL = Lower Specification Limit (0.98 mm)
μ = Mean of the process (1 mm)
σ = Standard deviation of the process (0.001 mm)
Plugging in the values:
Cpk = min[(1.01 - 1) / (3 * 0.001), (1 - 0.98) / (3 * 0.001)]
= min[0.003, 0.006]
= 0.003
The process capability index is calculated to be 0.003.
Since the Cpk value is less than 1, the process is considered to have low capability. A Cpk value of 0.50 indicates that the process has a wide variation compared to the specification limits. Therefore, the process is not capable of consistently meeting the requirements specified by the upper and lower limits.
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A green katydid looks very much like a green leaf.
If the katydid above has ten offspring, why might it be advantageous for some to be green, some yellow, and others brown?
Answer:
because they can all blend in with different surroundings
Lithium has an atomic number of 3. How many electrons does it have?
A 4
B. 1
C. 2
D. 3
Answer:
it has 3 electrons. brainliest please
Derive the Fresnel's equations for reflectivity and transmissivity at the interface of two dielectric media for the case where the electric field of the EM wave is polarized perpendicular to the plane of incidence in the class, we had discussed the case where the electric field of the EM wave was polarized in the plane of incidence)
Fresnel's equations describe the reflectivity and transmissivity at the interface of two dielectric media when the electric field of an electromagnetic (EM) wave is polarized perpendicular to the plane of incidence.
When the electric field of an EM wave is polarized perpendicular to the plane of incidence, the incident wave can be decomposed into two components: the parallel (s-polarized) and perpendicular (p-polarized) components with respect to the plane of incidence.
To derive Fresnel's equations, we consider the boundary conditions at the interface.
At the interface, the tangential components of the electric and magnetic fields must be continuous. By applying these boundary conditions and utilizing Snell's law, the amplitudes of the reflected and transmitted waves can be determined.
The reflectivity (R) and transmissivity (T) can then be calculated by considering the intensity of the incident, reflected, and transmitted waves.
The final expressions for Fresnel's equations for the perpendicular polarization case involve the refractive indices of the two media and the angle of incidence.
These equations provide insights into the reflection and transmission characteristics of EM waves at the interface and are fundamental in understanding the behavior of light at dielectric boundaries.
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you slide a slab of dielectric between the plates of a parallel-plate capacitor while keeping the charges on the plates constant. what happens to v, the potential difference between the two plates, and u, the potential energy of the capacitor?
Decrease in potential difference causes decrease in potential energy.
A dielectric produces an internal electric field when it is exposed to an electric field because the dielectric is polarized. The potential difference between the plates is caused by the internal electric field within the dielectric, which is in the opposite direction of the field between the plates of the capacitor. As a result, the effective electric field between the plates of the capacitor diminishes.
E = ΔV/Δr
Where, Δr = distance between plates, which is constant
Potential energy of a capacitor is;
U = (1/2)qΔV
Where, Charge is constant .
Therefore, potential energy U likewise drops as a result of the potential difference V being smaller.
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. consider the replacement of the 400 mw san juan thermoelectric power plant in puerto rico, which uses heavy fuel oil to generate electricity, with a solar photovoltaic farm. the oil plant has a heat rate of 10,811 btu/kwh and a capacity factor of 53%. a. for installation of south-facing fixed tilt pv arrays, with tilt angle equal to the local latitude in san juan, how many acres of collector surface area would be required to replace the generation from the fuel oil plant? assume that the photovoltaic cells have an efficiency of 17%. b. by how many acres can the surface area in part (a) be reduced if single-axis tracking is added (with the collector tilt angle still equal to the local latitude)? c. what will be the annual fuel cost savings ($) if the oil power plant is retired, if heavy fuel oil costs $290 per metric ton and has a heating value of 39,500 btu/kg?
Annual saving energy produced *cost of oil/heating value is
$ 10020.46177.
Latitude and longitude: what are they?Latitudes are lines that are horizontal and show how far a location is from the equator. In relation to the meridian in Greenwich, England, longitudes are vertical lines that show the east and west directions. Latitude and longitude are used in conjunction to locate points or places on the globe by cartographers, geographers, and others.
Puerto Rico's capital city's latitude and longitude are 18° 27' 58.7988" North and 66° 6' 20.5956" West.
Local San Juan latitude divided by tilt angle equals 18.46 WBAN No. 11641 = for year = 5.5 provides information on solar radiation for flat plate collectors facing south with a fixed tilt.
KWh/m2/day = 5.5 KWh/m2/day (1 day =3600h)
Formula used-
Solar radiation at that place* Collector Area *Collector efficiency = Heat rate * Output
power*Capacity factor
1 KW= 3,412.14 BTU/h
Heat rate* output power* capacity factor = 10,811*400*10^3*0.53 BTU/h = 671699.2855
KW
Collector Area = 671699.2855*3600/5.5*0.17
= 25862218.48 m^2= 6390 acres
C.
Cost of oil = 290$ /10^3 kg
Energy produced= 400*10^3 KW = 1364856 *10^3 BTU/h
Heating value = 39,500 Btu/kg
Annual saving Energy produced *cost of oil/heating value
= $ 10020.46177
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a man weighs 600 n while on the surface of earth. if he is transported to the planet mythos, which has the same mass as earth but a radius that is five times larger than earth's, his weight would be group of answer choices
Human body weight is equal to 600 N. Gravitational acceleration on earth: g = 10 m s 2 Man's weight on Earth is 600 kg. 10 sq . ft = 60 kg Since mass is consistent everywhere, we are aware of this.
What does gravity mean?
The attraction of items by the earth is known as gravitation. The earth's gravity causes objects that are hurled upward to reach a specific height before falling to the ground. 2. Space objects may be drawn to one another by gravity. the attraction force between the sun and the other planets.
Gravitational interaction: What is it?
The weakest of the four basic forces of nature, attraction between physical things having mass or energy is a natural phenomena. also known as gravity. the process or act of moving while being drawn to something. check out gravitational interaction. a movement in the direction of a source of desire: the middle classes' attraction.
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if the mass of the child and sled is 32 kg , what is the magnitude of the average force you need to apply to stop the sled? use the concepts of impulse and momentum
the magnitude of the average force required to stop the sled is 16 times the velocity of the sled in meters per second.
To calculate the magnitude of the average force required to stop the sled, we can use the concept of impulse and momentum. The equation that relates these two concepts is:
FΔt = mΔvwhere F is the force, Δt is the time interval during which the force is applied, m is the mass of the object, and Δv is the change in velocity.Let's assume that the sled was initially moving with a certain velocity v and that you want to bring it to a complete stop.
The final velocity of the sled will be 0 m/s. Since the mass of the child and sled is 32 kg, we can use the following equation to calculate the average force required to stop the sled:
FΔt = mΔvF Δt = (32 kg) (- v)F Δt = -32v
To determine the value of F, we need to know the time interval Δt during which the force is applied. If we assume that it takes 2 seconds to bring the sled to a stop, then:
F (2 s) = -32vF = -16v Newtons
Therefore, the magnitude of the average force required to stop the sled is 16 times the velocity of the sled in meters per second.
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In terms of vectors why does an object slow down? (physics question)
The weight of the water displaced by a person floating the water is 686 N. What is the person's mass?
the beam of a laser pointer (or a helium-neon laser) would spread to a 610- km -diameter circle at the distance of the moon. that is approximately 20 % of the moon's diameter! the light intensity would be so low that it would not be possible to detect the tiny amount of light reflected back to earth by a small mirror. even with a laser much more powerful than a laser pointer, the laser spot on the moon needs to be no more than 2.0 km in diameter in order to detect the reflected light. to achieve this, what is the minimum possible diameter of the laser's exit aperture? continue to use 650 nm as the laser wavelength.
The minimum possible diameter of the laser's exit aperture to achieve a 2.0 km diameter spot on the moon is 2.4 meters.
What is the laser pointer? The laser pointer is a compact laser light-emitting device. A laser pointer operates on the principle of stimulated emission. It is possible to get a bright, coherent light beam when photons come together and stimulate one another's emission.
What is a Helium-Neon Laser? The He-Ne laser or Helium-Neon Laser is a gas laser in which a mixture of helium and neon is used as the active medium. This laser is widely used in research laboratories and industries due to its easy availability and low cost. The wavelength of light produced by He-Ne laser is 632.8 nm.
What is a laser beam? A laser beam is a coherent and collimated light beam of photons traveling in the same direction with the same frequency and amplitude. A laser beam emits light rays that can travel great distances with minimal dispersion, as well as exert an incredibly focused level of energy.
When a laser is pointed at the moon from Earth, the beam is so diffuse that the spot on the lunar surface is roughly 610 km in diameter, approximately 20% of the moon's diameter. The laser spot on the moon needs to be no more than 2.0 km in diameter in order to detect the reflected light.
Given that the wavelength of the laser beam is 650 nm. The minimum possible diameter of the laser's exit aperture can be determined using the formula of diffraction-limited beam radius: r = 1.22 * λ * f / D where, λ = 650 nm, the wavelength of the laser f = focal length of the beam D = diameter of the laser's exit aperture
The diameter of the laser's exit aperture is given by the formula: D = 1.22 * λ * f / r.
To achieve a 2.0 km diameter spot on the moon, the minimum possible diameter of the laser's exit aperture is 2.4 meters.
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What is a car’s acceleration if it increases its speed from 5 m/s to 20 m/s in 3 s? 10 m/s2 –15 m/s2 15 m/s2 5 m/s2
Answer:
5 m/s²
Explanation:
Acceleration = change in speed/time taken
20-5=15
15/3= 5 m/s²
Why is magnetic field perpendicular to current?
Because moving electrons produce a magnetic field, it is perpendicular.
The perpendicular to the speed of the electrons created force. Now let's examine what occurs to the magnetic field when the current is cut off. Current had nowhere to flow because the magnetic field was perpendicular to it.The perpendicular to the speed of the electrons created force. Now let's examine what occurs to the magnetic field when the current is cut off. Current had nowhere to flow because the magnetic field was perpendicular to it. When an electric field inside a wire changes into a magnetic field, this phenomena takes place.To know more about magnetic field
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MICROSCOPIC STRUCTURE: a Dental Plaster: They are Fibrous aggregar of fine cupotal with capitany pares. then guerre Kuyrak Cleavage fragments and b) Dental Stone and prio crystals in the form of mods c) Die Stone Cuboidal Shape Investment DIAGRAMS OF CRYSTALS: Dental Plaster Dental Stone Investment Die Stone 19 DEMONSTRATION: 1. MIC AIM: To study the manipulation of dental plaster and pouring a compound impression GAUGING WATER: W/P = 50ml/100 gms. a PROCEDURE b 1. AIM: To study the manipulation of dental stone and pouring an alginate impression GAUGING WATER: W/P = 30ml/100gms. PROCEDURE 1. AIM: To study the manipulation of die stone and pouring and elastomeric impression GAUGING WATER: W/P = 25ml/100 gms. PROCEDURE
The provided text contains information about the microscopic structures and crystal diagrams of dental plaster, dental stone, and die stone. It also mentions the gauging water ratios and procedures for manipulating and pouring compound impressions using these materials.
The text describes the microscopic structure of dental plaster, which consists of fibrous aggregates of fine cupotal with capitany pares. Dental stone is described as having prior crystals in the form of mods, while die stone is characterized by its cuboidal shape.
The crystal diagrams are mentioned for each material: Dental plaster, dental stone, and die stone.
The text then outlines three different demonstrations, each with a specific aim and gauging water ratio. The demonstrations involve studying the manipulation of dental plaster, dental stone, and die stone, as well as pouring compound impressions using these materials. The procedures for each demonstration are provided.
To learn more about the manipulation of dental plaster, dental stone, and die stone, as well as the pouring of compound impressions, further information can be explored in dental textbooks or dental laboratory manuals.
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Discrete radii and energy states of atoms were first explained by electrons circling the atom in an integral number of:_______
The discrete radii and energy states of atoms were first explained by electrons circling the atom in an integral number of "quantum" or "quantized" levels.
The concept of quantized energy levels was proposed by Niels Bohr in 1913 as part of his atomic model, which explained how electrons are distributed around the nucleus.
According to Bohr's model, electrons occupy specific energy levels or orbits, and they can jump between these levels by absorbing or emitting energy in discrete packets called photons.
These energy levels are quantized, meaning that only certain specific energy values are allowed for the electrons. This quantization of energy is a fundamental aspect of quantum mechanics and has been verified through experimental observations.
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Alex has 3 boxes that he needs to carry across the room. Would he generate more power by carrying them one at a time, or by carrying all
three at once?
To determine whether Alex would generate more power by carrying the boxes one at a time or all three at once, we need to consider the concept of power.
Power is defined as the rate at which work is done or the rate at which energy is transferred. Mathematically, power (P) is calculated as the work (W) divided by the time (t) taken to do the work: P = W/t.
When Alex carries the boxes, he is doing work against the force of gravity to lift and move them. The work done is equal to the force exerted multiplied by the distance over which the force is applied.
Now, let's compare the two scenarios:
1. Carrying the boxes one at a time: If Alex carries each box individually, he will exert a force to lift and move one box at a time. The total work done will be the work done for each box multiplied by the number of boxes. Since the time taken to carry each box is the same, the power will be the total work divided by the total time taken.
2. Carrying all three boxes at once: If Alex carries all three boxes together, he will exert a larger force to lift and move the combined weight of the boxes. The total work done will be the work done for the combined weight of the boxes. Again, since the time taken to carry the boxes is the same, the power will be the total work divided by the total time taken.
The amount of power generated depends on the total work done and the time taken. In both scenarios, the total work done will be the same since the distance and force exerted are the same.
However, the time taken will be shorter when carrying all three boxes at once compared to carrying them one at a time. This is because Alex doesn't need to make multiple trips when carrying all three boxes together.
Therefore, carrying all three boxes at once would result in a higher power output. By combining the work of carrying the boxes into a single effort, Alex can transfer the same amount of energy in less time, resulting in a higher rate of power generation.
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Food moves through the digestive system mainly by gravity. true false
False. Food does not move through the digestive system mainly by gravity.
The movement of food through the digestive system is facilitated by various processes such as muscle contractions and the secretion of digestive juices. Here is a step-by-step explanation of how food moves through the digestive system:
Food enters the mouth, where it is chewed and mixed with saliva.
The tongue helps in pushing the chewed food toward the back of the mouth and into the esophagus.
The food then travels down the esophagus through a series of muscle contractions called peristalsis.
The food enters the stomach, where it is further broken down by stomach acid and enzymes.
From the stomach, the partially digested food enters the small intestine.
In the small intestine, the food is mixed with digestive enzymes and absorbed into the bloodstream.
The remaining undigested food passes into the large intestine, where water and electrolytes are absorbed.
Finally, the waste material is eliminated from the body through the rectum and anus.
The movement of food through the digestive system is not primarily dependent on gravity but is facilitated by various physiological processes.
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An apple dropped from the branch of a tree hits the ground in 0.5 s. If the acceleration of the apple during its motion is 10 ms-2 in the downward direction. Calculate ----- Its speed just before it hits the ground. What is its average velocity during 0.5 s? Calculate the height of the branch of the tree from the ground?
Given that,
Time = 0.5 s
Acceleration = 10 m/s²
(I). We need to calculate the speed of apple
Using equation of motion
\(v=u+at\)
Where, v = speed
u = initial speed
a = acceleration
t = time
Put the value into the formula
\(v=0+10\times0.5\)
\(v=5\ m/s\)
(III). We need to calculate the height of the branch of the tree from the ground
Using equation of motion
\(s=ut+\dfrac{1}{2}gt^2\)
Put the value into the formula
\(s=0+\dfrac{1}{2}\times10\times(0.5)^2\)
\(s=1.25\ m\)
(II). We need to calculate the average velocity during 0.5 sec
Using formula of average velocity
\(v_{avg}=\dfrac{\Delta x}{\Delta t}\)
\(v_{avg}=\dfrac{x_{f}-x_{i}}{t_{f}-t_{0}}\)
Where, \(x_{f}\)= final position
\(x_{i}\) = initial position
Put the value into the formula
\(v_{avg}=\dfrac{1.25+0}{0.5}\)
\(v_{avg}=2.5\ m/s\)
Hence, (I). The speed of apple is 5 m/s.
(II). The average velocity during 0.5 sec is 2.5 m/s
(III). The height of the branch of the tree from the ground is 1.25 m.
True/False
1.lenses bend light by reflection- true/false
2.converging lenses bring rays of light to a point - true or false
3.light bends towards the normal when it goes from air to glass - true/false
4.light bends away from the normal when it goes from air to water - true/false
Answer:
True
Explanation:
A bar magnet is immersed in a heap of iron filings and pulled out. The amount of iron filling clinging to the?
(a) North pole is almost equal to the south pole.
(b) North pole is much more than the south pole.
(c) North pole is much less than the south pole.
(d) Magnet will be same all along its length.
Answer:
(a) North pole is almost equal to the south pole.
Explanation: