The work done to the mower is the product of the external force applied on the object and the distance covered by the object which is equal to 40,811 Joules.
What is Work done?Work done on an object can be defined as the product of external force applied on the object and the distance over which the force is being applied on the object. Work is done on an object when a force is applied to an object and the object is moved through certain distance.
From this we can see that the horizontal component of the force:
X-Component (horizontal component):
cos(θ) = x/F
Then,
X= F cos(θ).…..(1)
Now putting the values of F and θ in equation (1) we get,
X = 72 N × cos(40)
X = 72 N × 0.766
X= 55.15 N this is the x-component force
The work done to the mower is:
W = F × d
W = 55.15 × 740
W = 40,811 Joules
The work done to the mower is 40811 Joules.
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A man lifts various loads with the same lever. The distance of the applied force from the fulcrum is 2.00 m and the distance from the fulcrum to the load is 0.500 m. A graph of resistance force vs. effort force is shown. What is the mechanical advantage of the lever? What is the ideal mechanical advantage of the lever? What is the efficiency of the lever? Show your work.
The mechanical advantage of the lever is 3.5.
The ideal mechanical advantage of the lever is 4
The efficiency of the lever is 87.5 %.
What is the mechanical advantage of the lever?The mechanical advantage of the lever is the ratio of the load overcame by the lever to the effort applied by the lever.
M.A = Load / Effort
From the graph we will find the change in load to change in effort is calculated as;
M.A = ( 160 N - 20 N ) / ( 50 N - 10 N )
M.A = 3.5
The ideal mechanical advantage of the lever is calculated as follows;
I.M.A = distance travelled by effort / distance travelled by load
I.M.A = ( 2 m ) / ( 0. 5 m )
I.M.A = 4
The efficiency of the lever is calculated as follows;
E = M.A / I.M.A x 100%
E = ( 3.5 / 4 ) x 100%
E = 87.5 %
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Question 5 of 15:
Select the best answer for the question
5. Eighteen cubic feet of air having a pressure of 60 psia and a temperature of 190 F is to be compressed, together with 28 cu ft of air having a pressure of 40 psia and a temperature
of 60 F, in a vessel whose volume is 22 cu ft. What will be the temperature of the mixture, if its pressure is 100 psia?
7
O A. 370 F
O B. 577 F
O C. 117 F
O D. 90 F
90 F. The temperature of the mixture can be calculated using the Ideal Gas Law.
This states that the product of the pressure, volume, and absolute temperature of a gas is equal to the product of the number of moles of the gas and the universal gas constant.
Using this equation, we can solve for the temperature of the mixture, given the total pressure and the total volume of the mixture.
We can first calculate the total number of moles of the mixture, by assuming both gases are ideal:
18 cu ft of gas at 60 psia and 190 F = 1.64 moles
28 cu ft of gas at 40 psia and 60 F = 1.28 moles
Total moles of the mixture = 2.92 moles
Using the Ideal Gas Law, we can then calculate the temperature of the mixture:
(100 psia x 22 cu ft x T) = (2.92 moles x 0.082)
T = 90 F.
What is the Ideal Gas Law?
The Ideal Gas Law is an equation that describes the relationship between pressure, volume, temperature, and amount (in moles) of an ideal gas. It states that: PV = nRT, where P is the pressure, V is the volume, n is the amount of substance, R is the ideal gas constant, and T is the temperature.
Hence, Option D is correct.
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Why the specific heat of water changed as the water state changed?
Answer:
Infinity. Yes, specific value of water during phase change is infinity. This is because, as long as water is present and it is changing phase (at boiling point or at any other constant temperature), the temperature of the water does not change no matter what amount of heat you are supplying to the water. Thus, its specific heat value is infinity.
The leaning tower of Pisa is about 56 meters tall. A ball released from the top takes 3.4 seconds to reach the ground. The final velocity of the ball before it hits the ground is 33 meters/second. Assuming that the ball experienced a constant acceleration throughout this descent, calculate the magnitude of the acceleration.
The magnitude of the constant acceleration of the ball is 9.7 m/s².
What is acceleration?Acceleration is the rate of change of velocity.
To calculate the constant acceleration of the ball, we use the formula below.
Formula:
a = (v-u)/t................. Equation 1From the question,
Given:
a = Acceleration,v = Final velocityu = Initial velocityt = TimeFrom the question,
Given:
v = 33 m/su = 0 m/s t = 3.4 secondsSubstitute these values into equation 1
a = (33-0)/3.4a = 9.7 m/s²Hence, the acceleration is 9.7 m/s².
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A man is attempting to train his dog. He is pulling on the dog with a force of 52.4 Newtons at an angle of 35.1 degrees above the horziontal. Fimd the X and Y component of the applied Force
The formula for the horizontal component (Fx), which is the angle the force makes with the horizontal, is Ftens•cosine(). Ftens• sine() can be used to compute the upward component (Fy), where is the angle that the force produces with the horizontal.
What is the force's horizontal component?The portion of a force that works horizontally with regard to a body is known as its horizontal component. Its vertical component is known as its vertical component.
Why is moving the box with the rope horizontal easier?The pulling of the box is with the rope horizontal. When the rope is angled Because Is less than, the horizontal component (= F cos ) is less. As a result, it is the proper response.
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Which of the following does NOT take place at the mission control center?
Doing contracting work for government agencies of private businesses
International Space Center
Sending signals to the space craft
Planning the details of the mission
Doing contracting work for government agencies of private businesses
The mission control center is a facility that is responsible for controlling and coordinating the operations of a spacecraft during a mission. It is typically run by NASA or another space agency and is used to monitor and communicate with spacecraft, as well as to plan and execute mission objectives. The mission control center is not typically involved in contracting work for government agencies or private businesses.
Hope This Helps You!
Write 3 – 4 sentences evaluating the use of nuclear fission to generate electric energy. Provide at least one point in favor of and two points against using fission.
Answer:
One point in favor of using nuclear fission to generate electric energy is that it is a relatively low-carbon option, producing fewer greenhouse gas emissions than fossil fuels. However, there are several points against using fission as an energy source. One is that it produces radioactive waste that can be difficult and costly to dispose of safely. Another is that there is the risk of accidents or leaks, which can have serious consequences for both people and the environment. Additionally, the construction of nuclear power plants is expensive and time-consuming, and the plants themselves have a limited lifespan.
1) Calculate the time required for a 6,000.-newton
net force to stop a 1,200.-kilogram
traveling at 10. meters per second. Show all
work, including the equation and substitution
with units.
PLEASE HELP!!
I need equation, substitution with units and final answer +explanation. TYSM
According to the given statement The time required is 2 seconds.
What is Force ?An unseen factor is an agent that has the power to alter the resting or moving condition of a body. It has a direction or a magnitude. The stress applied is the location at which force is applied, and the direction where the force applied is known also as direction of the force.
The vector composition of mass (m), acceleration, and the amount of force is used to express force (a). Mathematically, the equation or equation for force may be written as follows:
Force = mass x acceleration.
We know the force and the mass, so we can write:
6,000 N
= (1,200 kg) x (acceleration).
i.e. Acceleration = 6000N/1200kg = 5 m/s² .
That's the acceleration. The speed changes by 5 m/s each second
that the force acts on it. If the force pushes from behind, then it goes
5 m/s per second faster. It moves 5 m/s slower each second if the force is pushing from the front.
We wish to slow it down from its current speed of 10 m/s to 0 m/s. Therefore, the force must push from the front, and the task will be finished in (10/5) = 2 seconds.
So, time required is 2 seconds.
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helpp tyy
Which of the following is a way to make magnets?
heating
freezing
pressure
heating or pressing but heating is most appropriate, so the answer is heating.
In the figure below, what is the maximum speed of a 2.0 g particle that oscillates between x = 2.0 mm and x = 8.0 mm?
In the figure below, the maximum speed of a 2.0 g particle that oscillates between x = 2.0 mm and x = 8.0 mm is 63 m/s.
What is oscillation?Periodic or oscillatory motion is defined as a motion that repeats itself. Due to a restoring force or torque, an object in such motion oscillates around an equilibrium position.
Energy is conserved in oscillation.
So, the maximum loss in Potential Energy = Maximum gain in Kinetic energy
5 J - 1 J = Maximum gain in Kinetic energy
Maximum gain in Kinetic energy = 4 J
[tex]0.5 \times m \times vmax^2 = 4\\0.5 \times 2.0 \times 10^-3\; Kg \times vmax^2 = 4 J\\vmax^2 = 4 \times 10^3 m^2/s^2\\vmax = 63.2 m/s[/tex]
Therefore, the maximum speed of a 2.0 g particle that oscillates between x = 2.0 mm and x = 8.0 mm is 63 m/s.
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Which of the following is not a safety tip for outdoor activities
The following which is not a safety tip for outdoor activities is to go alone for a sense of oneness with nature and is therefore denoted as option A.
What is Safety?This is referred to as the condition of being protected from harm or other danger and it involves the use of various methods and activities and an example is to ensure that a basic first aid kit is available so as to help in the incident of an injury.
However going alone for a sense of oneness with nature is not a safety tip as should in case any issue arises there will be no one to support and rescue such individual.
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The full question is:
Which of the following is not a safety tip for outdoor activities
a. go alone for a sense of oneness with nature
b. bring a basic first aid kit
c. bring a flashlight or headlamp
d. pack plenty of water and energy-dense food
What is electronic dispersion theory?
Dispersion in wave theory is the phenomena where a wave's phase velocity changes depending on its frequency. The article can explore different definitions. This is the typical definition for dispersion (waves).
When sinusoidal waves with various wavelengths propagate at various speeds, a wave packet with mixed wavelengths has a tendency to disperse in space. Dispersion in wave theory is the phenomena where a wave's phase velocity changes depending on its frequency.
The article can explore different definitions. This is the typical definition for dispersion (waves).
A full set of approximate solutions to the one-electron Schrödinger equation are found in a three-dimensional atomic lattice that is randomly filled with atoms of different kinds and has, on average, the periodicity of a Bloch wave.
Equations are provided that enable the calculation of each wave's energy, average behavior, absent a phase factor, close to any sort of atom, and damping parameter.
A comparison is made between a periodic lattice with a complicated, energy-dependent potential and a random A-B lattice. The dispersion relation of the system is obtained by solving the eigenvalue problem in this potential using any of the established techniques for periodic potentials.
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How do you add sound waves?
The addition of two sound waves produces a new wave of higher amplitude if their compressions and refractions line up. It is also known as constructive interference.
What is interference?Interference can be described as a phenomenon in which two waves combine by adding at every single point in space and time, to form a resultant wave of greater or lower amplitude.
Constructive and destructive interference occurs in the interaction of waves that are correlated with each other because they come from the same source.
When two sound waves propagate in the same direction in phase with each other, their amplitude gets added, and the resultant wave is produced from constructive interference.
When two waves interfere with each other and have a displacement in the opposite direction. When a crest of a wave meets the trough of another wave, the waves undergo destructive interference.
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8. A 2kg object explodes and divides into three pieces, one piece has a mass of 800g and has a velocity of [30] m/s, a second piece has a mass of 500g and has a velocity of [520] m/s. What is the velocity of the third mass?
Answer:
v3 = 0 gm/s / 700g
Explanation:
To solve this problem, you need to use the principle of conservation of momentum, which states that the total momentum of a system remains constant unless acted upon by an external force. In this case, the total momentum of the system (the 2kg object before it explodes) is equal to the sum of the momenta of the three pieces after the explosion.
You can calculate the momentum of each piece by multiplying its mass by its velocity:
P1 = 800g * 30 m/s = 24,000 gm/s
P2 = 500g * 520 m/s = 260,000 gm/s
The total momentum of the system is the sum of these two momenta:
Ptotal = P1 + P2 = 24,000 gm/s + 260,000 gm/s = 284,000 g*m/s
The third piece has a mass of 2kg - 800g - 500g = 700g. We can use the conservation of momentum equation to find its velocity:
Ptotal = (700g * v3) + (800g * 30 m/s) + (500g * 520 m/s)
v3 = (Ptotal - (800g * 30 m/s) - (500g * 520 m/s)) / 700g
v3 = (284,000 gm/s - (800g * 30 m/s) - (500g * 520 m/s)) / 700g
v3 = (284,000 gm/s - 24,000 gm/s - 260,000 gm/s) / 700g
v3 = (284,000 - 24,000 - 260,000) gm/s / 700g
v3 = 0 gm/s / 700g
The velocity of the third mass is 0 m/s.
Hope this helps.
A solenoid is connected to a battery as shown in the figure, and a bar magnet is placed nearby. What is the direction of the magnetic force that this solenoid exerts on the bar magnet? (Hint: Think of the solenoid as a bar magnet, and identify what would be its north and south poles.)
According to the right-hand rule, the magnetic field of the solenoid will be directed towards the left direction.
What is Right-hand rule?Right Hand Thumb Rule is the rule which is used If a current carrying conductor is imagined to be held in the right hand direction such that the thumb always points along the direction of the current flow, then the direction of the wrapped fingers in the hand will give the direction of the magnetic field lines of the bar magnet.
By the application of the right-hand rule, the magnetic field of the solenoid will be directed towards the left hand direction.
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A force of 20 Newtons moves a box 2.0 meters and does 40 N*m of work. How many Joules is this?
1 N*m = 1 Joule
40 N*m = 40 joules
3. Which of the forms of electromagnetic radiation listed below has the greatest energy?
Ogamma rays
O infrared
O ultraviolet
radio waves
Answer:
Choice A. gamma rays
Explanation:
Find the location of the CM of a system of three particles arranged such that two of the particles with mass m are separated by distance I along the y-axis. The third mass 2m lies on the x-axis and is separated by a distance I from one of the masses.
Answer:
CM of a system ( 0.5l , 0.25l )
Explanation:
x = (m1.x1 +m2.x2 +m3.x3) / ( m1 + m2 +m3)
x = ( m x 0 + m x 0 + 2m x l ) / ( m+m+2m)
x = 2m x l / 4m
x = 0.5 l
y = (m1 x y1 +m2 x y2 +m3 x y3) / ( m1 + m2 +m3)
y = (m x 0) + m x l + 2m x 0 ) / ( m + m + 2m )
y = m x l / 4m
y = 0.25 l
5. If a jump rope is shaken fast enough to produce a wave with a wavelength of 0.5 m and
the crest of the wave passes a specific point 6 times per second, what is the velocity of the
wave?
Answer:
After solving the equation the wave is traveling at a velocity of 3 m/s.
What is velocity?Velocity is a vector quantity that describes the rate at which an object changes its position. It is a measure of both the speed and the direction of an object. Velocity is typically expressed in terms of meters per second (m/s). When an object is in uniform motion, its velocity is constant, meaning that it is not changing in magnitude or direction. If an object is accelerating, its velocity is changing over time, either in magnitude, direction, or both.
The velocity of the wave can be calculated using the following equation:
Velocity = Wavelength x Frequency
In this case, the wavelength is 0.5 m and the frequency is 6 Hz (6 cycles per second). So, the velocity of the wave is:
Velocity = 0.5 m x 6 Hz = 3 m/s
This means that the wave is traveling at a velocity of 3 m/s.
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How much potential energy does a log have if it weighs 112.7 N and is 3.400 m above the ground
Answer:
total potential energy is 383.18.
Explanation:
It is because that when we hold something at the influence of gravity than work is done . Similarly we know that
Potential Energy is Equal to the product of m g and h.Here weight gives the product of mass and acceleration due to gravity.so
PE = mgh
= 112.7×3.4
=383.18 joule
Unit of energy is joule
A thin rod has a length of 0.609m and rotates in a circle on a frictionless tabletop. The axis is perpendicular to the length of the rod at one of its ends. The rod has an angular velocity of 0.606rad/s and a moment of inertia of 1.05 x 10^-3 kg•m^2. A bug standing on the axis decides to crawl out to the other end of the rod. When the bug (whose mass is 5 x 10^-3 kg) gets where it’s going, what is the change in the angular velocity of the rod?
Answer:
-0.0069 rad/s
Explanation:
The change in angular velocity of the rod can be determined by using the conservation of angular momentum equation: Lf = Li.
The initial angular momentum of the rod is Li = Iwo and the final angular momentum of the rod is Lf = Iwf.
Plugging in the given values, we get:
(1.05 x 10^-3 kg•m^2)(0.606 rad/s) + (5 x 10^-3 kg)(0.609 m)^2(wf) = (1.05 x 10^-3 kg•m^2)(wo).
Solving for wf, we get wf = -0.0069 rad/s.
Therefore, the change in angular velocity of the rod is -0.0069 rad/s.
1. Compare and contrast sensation and perception.
2. Describe an example of sensory adaptation that you have experienced.
3. Why would it be difficult to play a sport such as baseball or basketball without the ability
to perceive depth?
4. Do you think that subliminal messages should be banned from advertising? Why or why
not?
5. What is your opinion about extrasensory perception? Do you think it exists? Explain your
answer.
What is meant by half life ?
A box is dropped out of a moving airplane. The airplane is traveling at 50m/s East. The box is dropped from rest with respect to the airplane. The box travels a vertical distance of 40 m before landing on a trampoline. The airplane continues traveling at a constant speed after the box is dropped and the wind resistance on the falling box is negligible
The horizontal distance travelled by the box is 143 m.
What is the horizontal distance travelled by the box?
The horizontal distance travelled by the box is calculated by determining the time of motion of the box and the horizontal velocity of the airplane.
The time of motion of the box from the vertical height in which it was dropped is calculated as follows;
h = vt + ¹/₂gt²
where;
v is the initial vertical velocity of the box = 0t is the time of motion of the boxg is acceleration due to gravityh is the height of fall of the boxh = 0 + ¹/₂gt²
t = √ ( 2h / g )
t = √ ( 2 x 40 / 9.8 )
t = 2.86 seconds
The horizontal distance travelled by the box is calculated as follows;
d = Vₓ t
where
Vₓ is the horizontal velocity of the airplanet is the time of motiond = ( 50 m/s ) x ( 2.86 s )
d = 143 m
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The complete question is below;
A box is dropped out of a moving airplane. The airplane is traveling at 50m/s East. The box is dropped from rest with respect to the airplane. The box travels a vertical distance of 40 m before landing on a trampoline. The airplane continues traveling at a constant speed after the box is dropped and the wind resistance on the falling box is negligible. Find the horizontal distance travelled by the box.
if a referee tosses a basketball in the air and hits the floor, at what point will the ball have no mechanical kinetic energy (hint: this occurs at more than one point)
the ball have no mechanical kinetic energy:
Just before the ball is set in motion in the air. Just after it hits the floor.What is mechanical kinetic energy?This refers to the energy that an object possessed due to its motion or due to its position. It is calculated by getting the product of the mass of the object and its velocity and dividing it by two. It is measured in joules, J.
if a referee tosses a basketball in the air, the ball will not have mechanical kinetic energy:
Just before the ball is set in motion in the air. ( Potential energy that is energy due to an object's position).Just after it hits the floor. ( Potential energy that is energy due to an object's position).Learn more about kinetic energy on
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The Earth wire only carries a current if there is a _____ in the
circuit. What one word completes the sentence?
Answer:
Fault
Explanation:
it only carries a current if there is a fault.
How does heat transfer?
Kind of energy a piece of radioactive metal contains
Answer:
Radioactive materials give off a form of energy called ionizing radiation.
when a resistor is connected to a battery, current flows through the resistor. If the voltage of the battery is doubled, the current will be?
Resistors limits the current/amps but keep the voltage the same.
What happens if you connect the resistor to the battery?You don't want to attach them together with a wire since there would be too much current loose through, such that the battery heats up till it blows or something.
Current is directly corresponding to voltage; a doubling of the voltage will double the current. But the current is also inversely comparable to the resistance; a doubling of the resistance will halve the current.
So we can conclude that Resistance residue is the same, but power becomes four times i.e. multiplication. If the current is I and the voltage is V,
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Mention four factors on which the amount of precipitation intercepted by vegetal cover depend on
Precipitation amount, storm frequency, and severity, storm duration, kind of precipitation, wind during storm, and wind during evaporation are the main precipitation and storm elements that influence interruption loss (Kenneth, 1996).
What does it signify when vegetation blocks precipitation?All procedures that stop rainfall from instantly reaching the soil are referred to as interceptions. The two main ways that vegetation intercepts water are by catching it on leaf surfaces throughout the canopy and by depositing litter on the ground.
Intercepted precipitation: What is it?Precipitation that is intercepted by leaves, plant branches, and the forest floor prevents it from reaching the soil and instead stays on the surface.
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