The maximum power of the pump is 24,000 W.
How did we get the value?To determine the maximum power of the pump, we need to calculate the work done by the pump in lifting the water to a height of 60m.
First, we need to find the weight of the water that is pumped per minute:
40 litres of water * 1 kg/litre = 40 kg
Next, we can calculate the work done by the pump using the formula for work done by a force:
W = F * d
Where W is the work done, F is the force applied and d is the distance moved.
Since the weight of the water is the force acting on it, we can use that in the above formula:
W = 40 kg * 10 m/s^2 * 60 m = 24,000 J/minute
Finally, we can convert the work done per minute to power, using the formula:
P = W / t
Where P is the power and t is the time taken.
Since we know that 40 litres of water are pumped in 1 minute, we can use that as t:
P = 24,000 J/minute / 1 minute = 24,000 W
So, the maximum power of the pump is 24,000 W.
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knowing that the tension in cable ab is 155 lb and that the resultant of the load p and of the forces exerted at a by the two cables must be directed along oa, determine the magnitude of the load p.
Magnitude of the load p, the resultant of the load p and of the forces exerted at a by the two cables must be directed along is 16.22 lb.
In engineering, the word "load" is widely used to refer to the force applied to a surface or mass.
Tab = 155 lb
Tab = Tab λ ab
= 155 x (-48)i + 29j + 24k/61
Tab = (-121.92)i + 73.66j + 60.96 k
Tac = Tac λac
= -48/65Tac i + 25/65Tac j - 36/65Tac k
For resultant to be directed along OA i.e x-axis
Tac = 110.06 lb
R = (-121.92lb i + 73.66lb j + 60.96lb k) + [-48/65Tac i + 25/65Tac j - 36/65Tac k]
To find the magnitude of P we take only J variable
73.66 + 25/65 Tac - P = 0
P = 73.66 + 25/65(110.66)
P = 16.22 lb is the magnitude of the load.
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a system containing 1 atm of an ideal gas is doubled in temperature and halved in volume. what is the new pressure?
The amount of moles of gas n=RT PV using the Ideal gas equation
P ′ = 2P new pressure
T ′ = 2T new temperature
V ′ =V/2 new volume
Hence, the number of moles of gas n ′ = (2P)/(V/2) / R(2T) (2P)(V/2) = n/2
When all other variables are held constant, pressure is directly proportional to force (F) and inversely proportional to area (A). As a result, when Area A is doubled, the pressure is cut in half. Area A is cut in half. The pressure P has been doubled. At STP (standard temperature, 273.15 K and pressure, 1 atm), the volume of 1.00mol of any gas is measured to be 22.414L. 1 atm equals 760 mm Hg. The Pascal, on the other hand, is the standard international unit for pressure. 1 atm Equals 101325 Pa. The English physicist Robert Boyle conducted a series of pressure tests and arrived at a general law—that the volume of a gas varies inversely with pressure—in 1662. PV stands for constant.
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Transcribed image text: 26) Light enters glass from air. The angle of refraction will be A) greater than the angle of incidence. B) equal to the angle of incidence. C) less than the angle of incidence. Answer: C 27) Water waves pass by a piece of cork floating on the water that bobs up and down on complete cycle each second. The waves are 2 meters long. What is the speed of the wave? A) 0.25 m/s B) 0.50 m/s C) 1.0 m/s D) 4 m/s E) 2 m/s 28) What kinds of waves can show interference? A) Only longitudinal waves show interference. B) Only waves that are out of phase with each other show interference. C) All waves show interference. D) Only transverse waves show interference. 29) If the index of refraction of a material is 2, this means that light travels A) 2 times as fast in air as it does in vacuum. B) 2 times as fast in the material as it does in air. C) 2 times as fast in vacuum as it does in the material. D) 2 times as fast in the material than it does in vacuum. E) 1/2 as fast in air as it does in the material. 30) Light having a speed in vacuum of 3.0 x 108 m/s enters a liquid of refractive index 2.0. In this liquid, its speed will be A) 6.0 × 108 m/s B) 3.0 × 108 m/s C) 1.5 × 108 m/s D) 0.75 x 108 m/s E) 0.67 × 108 m/s
(1) C) less than the angle of incidence. (2) C) 1.0 m/s (3) C) All waves show interference. (4) B) 2 times as fast in the material as it does in air. (5) D) 0.75 x 108 m/s
1. When light travels from a less dense medium (air) to a more dense medium (glass), it bends towards the normal. This causes the angle of refraction to be less than the angle of incidence.
2. The formula for the speed of a wave is v = fλ, where v is the speed, f is the frequency, and λ is the wavelength. The frequency is 1 cycle per second, and wavelength is 2 meters. The speed of the wave is v = 1 Hz x 2 m = 2 m/s.
3. Interference occurs when two or more waves meet and their amplitudes add together. This can occur with any type of wave.
4. The index of refraction of a material is the ratio of the speed of light in a vacuum to the speed of light in that material. If the index of refraction of a material is 2, this means that light travels 2 times as fast in a vacuum as it does in the material.
5. The speed of light in a medium is given by v = c/n, where v is the speed of light in the medium, c is the speed of light in a vacuum, and n is the refractive index of the medium. Substituting the given values, v = (3.0 x 10^8 m/s) / 2.0 = 1.5 x 10^8 m/s.
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--The complete question is, 1) Light enters glass from air. The angle of refraction will be
A) greater than the angle of incidence.
B) equal to the angle of incidence.
C) less than the angle of incidence.
2) Water waves pass by a piece of cork floating on the water that bobs up and down on complete cycle each second. The waves are 2 meters long. What is the speed of the wave?
A) 0.25 m/s
B) 0.50 m/s
C) 1.0 m/s
D) 4 m/s
E) 2 m/s
3) What kinds of waves can show interference?
A) Only longitudinal waves show interference.
B) Only waves that are out of phase with each other show interference.
C) All waves show interference.
D) Only transverse waves show interference.
4) If the index of refraction of a material is 2, this means that light travels
A) 2 times as fast in air as it does in vacuum.
B) 2 times as fast in the material as it does in air.
C) 2 times as fast in vacuum as it does in the material.
D) 2 times as fast in the material than it does in vacuum.
E) 1/2 as fast in air as it does in the material.
5) Light having a speed in vacuum of 3.0 x 108 m/s enters a liquid of refractive index 2.0. In this liquid, its speed will be
A) 6.0 × 108 m/s
B) 3.0 × 108 m/s
C) 1.5 × 108 m/s
D) 0.75 x 108 m/s
E) 0.67 × 108 m/s--
the amount of incoming solar radiation available at various places on the earth depends mainly on
This is based on a location's latitude. As latitude rises, the sun's rays' angle with the earth's surface decreases, resulting in slanted sunrays. Vertical rays always cover less area than rays that are angled.
What amount of incoming solar radiation on the earth?The amount of incoming solar energy that is accessible varies on the longitude, day of the year, time of day, and degree of cloud cover. The amount of solar energy received at a given latitude would not change throughout the year if the earth were not tilted from the vertical.
The solar radiation that reaches the surface of the earth is known as insolation. The quantity of solar energy absorbed per square centimeter every minute is used to calculate it.
Therefore, the amount of insolation (incoming solar energy) that is received each day mostly relies on. the Sun's angle above the horizon, also known as the solar incidence angle. the amount of time the surface is exposed to the Sun, as well as the atmosphere.
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two oppositely-charged plates are set up in the lab, where the positive plate is placed north of the other plate. in which direction would the electric field lines between the plates be pointing of a diagram was drawn?
Answer:
Explanation:
which of the following statements concerning the motion of a physical pendulum is incorrect? responses the period is changed if the mass of the bob is doubled and the length of the pendulum is halved the period is changed if the mass of the bob is doubled and the length of the pendulum is halved the time interval between conditions of maximum potential energy is one period. the time interval between conditions of maximum potential energy is one period. the kinetic energy is a minimum when the displacement is a maximum. the kinetic energy is a minimum when the displacement is a maximum. the acceleration is a maximum when the displacement is a maximum
The statement that is incorrect is: The time interval between conditions of maximum potential energy is one period.
The time interval between conditions of maximum potential energy is not always one period. The period of a pendulum is the time it takes for the pendulum to complete one full cycle of motion, which is determined by the length of the pendulum and the acceleration due to gravity. The time interval between conditions of maximum potential energy depends on the initial conditions of the pendulum, such as the initial angle and the initial velocity. If the initial angle or the initial velocity is changed, then the time interval between conditions of maximum potential energy will change as well.
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if both the speed and stopping distance of a driver are doubled, by what factor does the force exerted on the driver change? g
If both the speed and stopping distance of a driver are doubled, the force exerted on the driver will be reduced by a factor of 2 (or 50%).
The force exerted on the driver when stopping a car is given by the formula:
[tex]F = (mv^2) / (2d)[/tex]
Where:
m = mass of the car
v = velocity of the car before braking
d = stopping distance
If both the speed and stopping distance of the car are doubled, then the new velocity and stopping distance will be 2v and 2d, respectively. Therefore, the new force exerted on the driver will be:
[tex]F' = (m(2v)^2) / (2(2d))[/tex]
[tex]F' = (4mv^2) / (4d)[/tex]
[tex]F' = (mv^2) / d[/tex]
Comparing this to the original formula for force, we can see that the new force exerted on the driver is simply half of the original force:
[tex]F' = (mv^2) / d = 1/2 * (mv^2) / (1/2 * d) = 1/2 * F[/tex]
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What kind of motion does a torque tend to impart to an object?
A torque tends to impart rotational motion to an object and is responsible for keeping the object in rotation.
Torque in rotational motion is the same as force in linear motion. It is the main factor that maintains an object's rotation. An object rotates at an acceleration inversely proportional to its moment of inertia when a torque is applied to it. Torque is mathematically determined by:
Γ= Ia
where, I is the moment of inertia and a is the acceleration with which the object rotates. Torque has both magnitude and direction and is, thus, a vector quantity. Torque is expressed in Newton metre or Nm.
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what is the length l of the pipe? an air-filled pipe is found to have successive harmonics at 480 hz , 800 hz , and 1120 hz . it is unknown whether harmonics below 480 hz and above 1120 hz exist in the pipe. what is the length of the pipe?
Using the formula for the frequency of harmonics in an air-filled pipe, we can write:f_n = nv/(2L), where the pipe's length L, the air's sound speed (v), and harmonic number (n) are all variables.
What can be determined about the length of the pipe?Solving for L, we get:L = nv/(2f_n)For the third harmonic (n=3), we have:L = (3v)/(2f_3) = (3343 m/s)/(21120 Hz) = 0.137 m or 13.7 cm.
Using the given harmonic frequencies, we can determine the length of the pipe by applying the formula: wavelength = speed of sound / frequency.
From this, we can calculate the wavelengths of each harmonic and determine the ratio of their wavelengths. The ratio of the wavelengths will be in the form of 1:3:5 for the 1st, 2nd and 3rd harmonics respectively.
We can then use this ratio to determine the length of the pipe using the formula: length = wavelength x (n/2), where n is the harmonic number.
Therefore, the length of the pipe is approximately 13.7 cm. Using the given harmonic frequencies,
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The density equation is
ρ = m/v
The density of water is 1gram per 1milliliter of water. Written as 1g/1ml.
Use the density of water and the density equation to calculate the mass of 334 ml of water.
A 334 grams of water
B 334 grams/ml of water
C .003 grams/ml of water
D .003 grams of water
Answer:
We can use the density equation to find the mass of 334 ml of water.
Explanation:
Given that the density of water is 1 g/ml, we can substitute the values into the density equation:
ρ = m/v
ρ = 1 g/ml
v = 334 ml
So, m = ρ x v
m = 1 g/ml x 334 ml
m = 334 g
Therefore, the mass of 334 ml of water is 334 g, which is answer option A: 334 grams of water.
Calculate the weight of an object of mass 15Kg kept on the earth. If the same object is taken to mars, what change will happen to its mass and weight?(freefall acceleration on mars=3.7 m/s2)
Answer:
Weight on Mars = 55.5 Newtons
Approximately 37.72% of weight on earth
Explanation:
Mass of an object is unchanged throughout the universe
Therefore mass on Mars = mass on Earth = 15kg
Weight = mass x freefall acceleration
Weight on Earth = 15 kg x 9.81 m/s² = 147.15 Newtons (N)
Weight on Mars = 15 x 3.7 m/s² = 55.5 N
Therefore weight on Mars/ weight on earth = 55.5 N/147.15N
≈ 0.3772
= 37.72 % of weight on earth
a 30.0-kg child sits on one end of a long uniform beam with a mass 20.0 kg and a 40.0-kg child sits on the other end. the beam balances when a fulcrum is placed below the beam a distance 1.10 m from the 30.0-kg child. how long is the beam? 1.93 m 2.07 m 2.20 m 1.98 m 2.12 m
The length of beam such that the beam balances when a fulcrum is placed below the beam a distance 1.10 m from the 30.0-kg child is 2.07m
To calculate this, we can use the equation for moment of inertia:
We know that the M = (m1 × d1) + (m2 × d2)
Where m1 and m2 are the masses of the two children and d1 and d2 are the distances from the fulcrum to either child.
In this case, m1 = 30.0 kg, m2 = 40.0 kg, d1 = 1.10 m and d2 is the variable we are solving for.
So, we can rearrange the equation to solve for d2:
d2 = (M - (m1 × d1)) / m2
d2 = (0 - (30.0 kg × 1.10 m)) / 40.0 kg
d2 = -2.07 m
Therefore, the length of the beam is 2.07 m.
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while a _______ is a group of closely related phenomena or observations, _______ is a logical idea that can be tested.
While a theory is a group of closely related phenomena or observations, hypothesis is a logical idea that can be tested.
How would you define hypothesis?
An assumption or concept is given as a hypothesis for the purpose of debating it and testing if it might be true. In the scientific process, the hypothesis is developed before any pertinent research—aside from a basic background review—has been conducted.
In addition to explaining existing facts, a theory also enables scientists to forecast what observations they should expect to see if the theory is correct. Scientific hypotheses can be tested. A theory should be consistent with new data.
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a 2 coulomb charge is moved from a to b in the presence of an electric field created by other charges. the potential energy when the charge is at point b is 30 j higher then the potential energy when the charge was at a. the voltage (created by the other charges) at point a was 10 volts. what is the voltage at point b?
When the charge is at point b, the potential energy is 30 j, and the voltage produced at point b by the other charges is 25 volts.
We can use the formula for potential energy in an electric field to relate the change in potential energy to the difference in voltage between the two points:
ΔU = qΔV
here,
ΔU is change in potential energy,
q is charge, and
ΔV is difference in voltage.
We are given that
q = 2 C, and
That the change in potential energy
= ΔU = 30 J.
Therefore, we can solve for the difference in voltage between points a and b:
ΔV = ΔU / q
ΔV = 30 J / 2
ΔV = 15 V
This means that the voltage at point b is
10 V + 15 V = 25 V,
because the potential energy when the charge is at point b is 30 J higher than at point a.
Therefore, the voltage created by the other charges at point b is 25 volts.
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The amount of energy required to remove an electron from an isolated atom or molecule is the ionisation potential. There is an ionization energy for each successive electron removed. true or false?
The following statement "The amount of energy required to remove an electron from an isolated atom or molecule is the Ionization potential. There is an ionization energy for each successive electron removed" is true.
A molecule is a collection of two or more atoms bound together by chemical bonds; depending on the context, the phrase may or may not include ions that meet this definition.
In quantum physics, organic chemistry, and biochemistry, the difference between ions and molecules is lost, and the term molecule is frequently used to refer to polyatomic ions. A molecule can be homonuclear, consisting of atoms of one chemical element, such as two atoms in the oxygen molecule (O2), or heteronuclear, consisting of more than one element.
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the nearest star is at a distance of 4.4 light-years. given that light travels at 300,000 km/s in space, how far away is the nearest star in kilometers (km)? (1 year
The nearest star is approximately 40.1 trillion kilometers away from us.
The nearest star is located 4.4 light-years away from us. Since one light-year is defined as the distance that light travels in one year and light travels at a speed of 300,000 km/s.
we can calculate the distance to the nearest star in kilometers by multiplying the speed of light by the number of seconds in a year and then multiplying by 4.4:
Distance to nearest star = 300,000 km/s * 60 seconds/minute * 60 minutes/hour * 24 hours/day * 365 days/year * 4.4 years
= 40,152,000,000,000 kilometers
Therefore, the nearest star is approximately 40.1 trillion kilometers away from us.
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Which energy associated with movement is energy while energy is stored energy? Kinetic Energy | Potential Energy | Mecanic Energy | Biodiesel Energy
The energy associated with movement is Kinetic Energy, while energy that is stored is Potential Energy.
What is Kinetic vs Potential energy?Two types of energy—kinetic energy and potential energy—describe the condition of a system. While potential energy is the energy stored in an object or system based on its location or configuration, kinetic energy is the energy of motion.
The energy that an object has as a result of motion is known as kinetic energy. The formula KE=1/2mv2 can be used to calculate an object's kinetic energy, which depends on its mass and speed. In this instance, m stands for the object's mass and v for its speed. An object has more kinetic energy the faster it moves. For instance, a moving vehicle has more kinetic energy than a vehicle that is stationary.
On the other hand, potential energy is the energy that an object has as a result of its position or configuration. It is frequently referred to as the energy that a thing possesses as a result of its capacity for labor. Gravitational potential energy, or the energy an item has as a result of its position with respect to a reference point like the ground, is the most typical illustration of potential energy. A lower-altitude item has less gravitational potential energy than a higher-altitude object. PE=mgh, where m is the object's mass, g is the acceleration brought on by gravity, and h is the object's height above the reference point, is the formula for gravitational potential energy.
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a cold beer initially at 35of warms up to 40of in 3 min while sitting in a room of temperature 70of. how warm will the beer be if left out for 20 min?
The temperature of the beer if left out for 20 mins would be 53.1°F.
Newton's law of coolingWe can use Newton's law of cooling to estimate how warm the beer will be after 20 minutes. Newton's law of cooling states that the rate of change of the temperature of an object is proportional to the difference between the object's temperature and the temperature of its surroundings. In this case, the rate of change of the beer's temperature is:
d(T)/dt = k(T - T_s)
where T is the temperature of the beer, T_s is the temperature of the surroundings, and k is a constant of proportionality.
From the problem, we know that the initial temperature of the beer is T(0) = 35°F and that it warms up to T(3) = 40°F in 3 minutes. Therefore, we can use this information to find the value of k:
k = [T(3) - T(0)] / [(T(3) - T_s) * t] = [40 - 35] / [(40 - 70) * 3] = 1/30
Now we can use this value of k to estimate the temperature of the beer after 20 minutes:
T(20) - T_s = [T(0) - T_s] * exp(-kt) = (35 - 70) * exp(-(1/30)*20) = -35 * exp(-2/3) ≈ -16.9°F
Therefore, the temperature of the beer after 20 minutes will be approximately 70°F - 16.9°F = 53.1°F.
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which of the following does not accurately describe earth's distance from the sun? which of the following does not accurately describe earth's distance from the sun? earth is closest to the sun in january (perihelion). due to earth's circular orbit, it is always equidistant from the sun throughout the year. the earth-sun distance averages 150 million kilometers (93 million miles). it takes light an average of 8 minutes and 20 seconds to travel from the sun to earth. earth is farthest away from the sun in july (aphelion).
The following are incorrect estimates of Earth's distance to the Sun:
The earth constantly orbits the sun equally throughout the year because of its round orbit.it takes light an average of 8 minutes and 20 seconds to travel from the sun to earth. Explain the revolution of earth around sun?Revolution is the name for the earth's fixed orbital motion around the sun.
The Sun's gravitational force causes the Earth to revolve, creating an elliptical orbit.
An elliptical orbit is just a circle that has been flattened or has an extended route with two distinct foci. The eccentricity of the Earth's orbit, or how far from a circle it deviates from, is roughly 0.01671.According to the stars, the Earth orbits the sun in 365 days, 6 hours, and 9 minutes, rotating at a speed between 29.29 and 30.29 km/s. Every four year, which is known as a leap year, the 6 hours, 9 minutes add up to roughly one extra day, with February 29th being the added day. The eccentric orbit of Earth makes its closest point to a sun, or perihelion, on or around January 4th of every year. Six months later, at 152,100,000 km, is aphelion.Thus, the following are incorrect estimates of Earth's distance to the Sun:
The earth constantly orbits the sun equally throughout the year because of its round orbit.it takes light an average of 8 minutes and 20 seconds to travel from the sun to earth.To know more about the revolution of earth, here
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What is the scientific definition of energy that relates it to work?
the ability to use the change in direction of an object
the ability to use an applied force to make an object move
the ability to use the stored potential of an object
the ability to use the change in temperature of an object
The capacity to perform work, which entails applying force to move an object across a distance, is another definition of energy. Energy is moved from one item to another while work is done. Thus, option B is correct.
What type of energy that relates it to work?The definition of energy as the “power to accomplish work" refers to the capacity to apply a force that moves an object.
Any force that is exerted on an object, whether by a person or another object, is referred to as an applied force. An applied force is exerted on an object when someone pushes it across the room.
Energy is referred to by scientists as the capacity to work. Modern civilization is made possible by the discovery of how to change energy from one form to another and use it to complete activities.
Therefore, the ability to use an applied force to make an object move.
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After which action would the concentration of a solution remain constant?(1 point)
removing solution from the container
adding water to the solution
evaporating water from the container
adding solute to the solution
Answer:
The action that would cause the concentration of a solution to remain constant is removing solution from the container.
What is concentration of a solution?
The concentration of a solution is the measure of the amount of solid particles (solute) that has been dissolved in the given amount of a solvent.
Adding water to a solution will dilute the solution, hence changes the concentration of the solution.
Also, adding solute will change the concentration of the solution.
Thus, the action that would cause the concentration of a solution to remain constant is removing solution from the container.
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what is the magnitude of the force caused by air resistance, fr in newtons? (maintain the assumption that the truck's velocity is constant.)
The same as long as the other variables in the equation (Cd, A, and rho) remain unchanged.
What is variables?A variable is a symbolic name that represents a value that can be changed. Variables are used in programming to store values that can be used throughout the program or in specific functions. Variables can be any type of data including numbers, strings, Booleans, and objects.
The magnitude of the force caused by air resistance, fr, in Newtons is determined by the drag equation: fr = 0.5*Cd*A*rho*v^2, where Cd is the drag coefficient, A is the frontal area, rho is the density of the air, and v is the velocity. Since the truck's velocity is assumed to be constant, the magnitude of the force caused by air resistance (fr) will remain the same as long as the other variables in the equation (Cd, A, and rho) remain unchanged.
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i] Observe the following picture and answer the given question which evidence of evolution is shown in above picture? what does this evidence indicate? give one more example of evidence of evolution.
The evolution that is shown in the picture that we have here is the evolution of humans from Chimpanzees.
What is evolution?
Evolution is the process by which species of living organisms change over generations through a combination of genetic variation, mutation, natural selection, and genetic drift. The theory of evolution explains how species have changed over time to become the diverse forms that exist today, and provides a scientific explanation for the relatedness of different species.
The evidence in the picture tells us that came to be through mutations and generic drift from the Chimpanzee.
An example of evolution would be: evidence that is gotten from fossils.
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If a box of 11.54 kg is sliding down the ramp at an angle of 31.04 at a constant velocity, what is the force of friction acting on the box?
The frictional force acting on the box is just opposite to the normal force acting on the box by its weight. Here, the frictional force is,
What is friction ?Friction is a kind force that opposes the normal force acting on an object. The frictional force, is a resistive force having a negative sign always. The frictional force increases as the roughness of the surface through which the object is moving.
Here, the mass of the box m = 11.54 kg
angle of sliding = 31.04 °
acceleration due to gravity of earth = 9.8 m/s²
The frictional force that opposes the motion of the box sliding down the surface is just opposite to the normal force on the box by its own weight.
F = - mg cosθ
= - 11.54 kg × 9.8 m/s² × 31.04°
= -105.9 N
Therefore, the frictional force acting on the box is -105.9 N.
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the moon is decreasing in light between a full moon and a last quarter moon called___
The moon is decreasing in light between a full moon and a last quarter moon called the waning phase.
What is waning phase?
The waning phase is the third phase of the four phases of the moon. It takes place when the moon is visible in the night sky and its shape appears to be decreasing in size. During the waning phase, the moon is moving away from the Earth and its illuminated side is decreasing. This phase begins when the moon is a full moon and gradually decreases in size until it reaches new moon. During the waning phase, the moon is visible in the night sky during the evening hours and is visible as a thin crescent. This phase is also known as the "waning gibbous phase" or the "last quarter phase". During the waning phase, the moon is gradually getting darker and less illuminated until it reaches the new moon phase.
Therefore, The moon is decreasing in light between a full moon and a last quarter moon called the waning phase.
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what would the minimum value of the coefficient of static friction need to be for the system not to move when released from rest?
The minimum value of the coefficient of static friction necessary for the system not to move when released from rest would be 2 (10 N / 5 N = 2).
What is static friction?Static friction is the force that resists movement between two surfaces that are in contact with each other. It is the friction that acts to prevent movement between two objects, such as a car and the road, from taking place. This force is always present regardless of the objects’ motion and is perpendicular to the surfaces in contact. It is also known as stiction, sticky friction, limiting friction, or static coefficient of friction.
In order for an object to remain at rest when released from rest, the static friction force must be equal to or greater than the force of gravity acting on the object. Therefore, the minimum value of the coefficient of static friction necessary for the system not to move when released from rest is equal to the ratio of the force of gravity to the normal force between the two surfaces. This ratio is known as the static friction coefficient.
For example, if the force of gravity is 10 N and the normal force between the two surfaces is 5 N, the minimum value of the coefficient of static friction necessary for the system not to move when released from rest would be 2 (10 N / 5 N = 2).
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what must be the mass m2 of the hanging block if it is to descend 9.50 m in the first 3.00 s after the system is released from rest? express your answer with the appropriate units.
The mass [tex]m_{2}[/tex] of the hanging block is 20 kg.
A body of coherent matter, typically of undefined form and structure, or maybe even a grouping of incoherent components, components, or things viewed as comprising one body.
Suddenness of movements or operation; promptness; quickness as well as mechanical the measured or counted at which a body's position changes in a specific direction.
For this it is important to assume a tension value, otherwise, it is impossible to determine the value of mass m, in Newton's second law equation.
According to the question,
Initial velocity, [tex]$V_o=0 \mathrm{~m} / \mathrm{s}$[/tex]
Time, t = 3 sec
We know,
[tex]$\Rightarrow y=v_o \times t+0.5 \times a \times t^2$[/tex]
By substituting the values,
0.01 = [tex]0.5 \times a \times(3)^2 \\[/tex]
a = 0.0022 m / [tex]\mathrm{s}^2[/tex]
Hence, T- mg = ma
or,
[tex]$\Rightarrow m & =\frac{T}{g-a} \\[/tex]
[tex]$& =\frac{196}{9.81-0.00222} \\[/tex]
= 20 kg
Therefore the answer is 20 kg.
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a merry-go-round makes one complete revolution in 12.71 s. a 34.12 kg child sits on the horizontal floor of the merry-go-round 2.34 m from the center. what minimum coefficient of static friction is necessary to keep the child from slipping? the acceleration of gravity is 9.8 m/s 2 .
To prevent the kid from slipping, static friction needs to be at least 1 coefficient.
Examples of static friction are given below./A force called static friction prevents an object from moving along the path. This friction happens when two materials are slid over one another. Conflict is there all around us. For instance, when we walk, our feet are in contact with the ground.
Newton's second rule of motion can be used to calculate the amount of force needed to prevent the kid from slipping:
ΣF = ma
where ΣF is the sum of the forces acting on the child, m is the mass of the child, and a is the acceleration of the child. Since the child is not slipping, the force of static friction f must equal the force of gravity on the child Fg:
f = Fg
where Fg = mg, and g is the acceleration due to gravity.
The acceleration of the child can be expressed in terms of the angular acceleration of the merry-go-round, α, using the formula:
a = rα
where r is the distance of the child from the center of the merry-go-round.
The angular acceleration can be found from the time it takes for the merry-go-round to make one complete revolution, T, using the formula:
α = 2π / T
Substituting these values into the equations above, we get:
f = Fg
μs N = mg
μs mg = mg
μs = 1
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a hamster runs at a speed of 13 centimeters per second in a wheel of radius 14 centimeters. a) what is the angular velocity of the wheel? (in radians/sec) incorrect radians/sec correctradians/sec no decimals allowed. b) how fast will the wheel spin in revolutions per minute? incorrect rev/min correctrev/min no decimals allowed.
The angular velocity of the wheel is 0.9286 radians/sec and the number of revolutions per minute is 8.84 rpm
The angular velocity of the wheel in radians per second is given by the formula:
ω = v/r where ω is the angular velocity in radians per second, v is the linear velocity in cm/s, and r is the radius of the wheel in cm.
Therefore, the angular velocity of the wheel is:
ω = 13 cm/s / 14 cm = 0.9286 radians/sec
To calculate the revolutions per minute (rpm), we use the formula:
rpm = ω * 60 / (2π)
where 2π is the number of radians in a full revolution.
Therefore, the wheel will spin at a rate of:
rpm = 0.9286 radians/sec * 60 / (2π) = 8.84 rpm
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A power line consists of two wires, each carrying a current of 400 A in the same direction. The lines are perpendicular to the earth’s magnetic field and are separated by a distance of 5. 0 m. Which is larger: the force of the earth’s magnetic field on each wire, or the magnetic force between the wires?
The magnetic force between the two wires is larger than the force of the Earth's magnetic field on each wire.
The magnetic force between the two wires is larger than the force of the Earth's magnetic field on each wire. The magnetic force between the two wires can be calculated using the formula
F = μ * I1 * I2 * L / 2 * d
here,
μ is magnetic constant
I1 and I2 are current of each wire,
L is length of each wire,
d is distance between the wires.
Reserving the values,
= F
= [tex]4 * \pi * 10^-^7 * 400 * 400 * 5 / 2 * 5[/tex]
= 0.16 N.
On the other hand, the force of the Earth's magnetic field on each wire can be calculated using the formula:-
F = μ * B * I * L,
here,
B is Earth's magnetic field strength.
Reserving the values,
= F
= [tex]4 * \pi * 10^-^7 * 5 * 10^-^5 * 400 * 5[/tex]
= 0.04 N.
Therefore, the magnetic force between the two wires is larger than the force of the Earth's magnetic field on each wire.
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