The kinetic energy of a bowling ball moving at speed is 100 J. The correct option is B.
What is kinetic energy?The kinetic energy of an object is associated with its motion. It can be related to the mass and velocity as
K.E = 1/2 mv²
Given is the Mass of a bowling ball, m =8 kg and Velocity of a baseball, v = 5 m/s
substitute the values, we have
K.E = 1/2 x 8 x (5)²
K.E = 100 J
Hence, the kinetic energy of the bowling ball is 100 J.
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A screw having 50% efficiency is driven by a rod and 25 cm. The pitch of the screw is 1/10cm Calculate velocity ratio and mechanical advantage of the screw.
(a) The velocity ratio of the screw is 1570.8.
(b) The mechanical advantage of the screw is 785.39.
Velocity ratio of the screw
The velocity ratio of the screw is calculated as follows;
V.R = 2πr/P
where;
P is the pitch = 1/10 cm = 0.1 cm = 0.001 mr is radius = 25 cm = 0.25 mV.R = (2π x 0.25)/(0.001)
V.R = 1570.8
Mechanical advantage of the screwE = MA/VR x 100%
0.5 = MA/1570.8
MA = 785.39
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A proton in a high-energy accelerator is given a kinetic energy of 50.0 GeV. Determine (a) the momentum and (b) the speed of the proton.
(a) The momentum of the proton is determined as 5.17 x 10⁻¹⁸ kgm/s.
(b) The speed of the proton is determined as 3.1 x 10⁹ m/s.
Momentum of the protonThe momentum of the proton is calculated as follows;
K.E = ¹/₂mv²
where;
m is mass of proton = 1.67 x 10⁻²⁷ kgv is speed of the proton = ?Speed of the protonv² = 2K.E/m
v² = (2 x 50 x 10⁹ x 1.602 x 10⁻¹⁹ J)/(1.67 x 10⁻²⁷)
v² = 9.6 x 10¹⁸
v = 3.1 x 10⁹ m/s
Momentum of the protonP = mv = (1.67 x10⁻²⁷ x 3.1 x 10⁹) = 5.17 x 10⁻¹⁸ kgm/s
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Diffraction gratings with 10,000 lines per centimeter are readily available. Suppose you have one, and you send a beam of white light through it to a screen 2.00 m away. Find the angles for the first-order diffraction of the shortest and longest wavelengths of visible light (380 and 760 nm).
The angles for the first-order diffraction of the shortest and longest wavelengths of visible light are 22.33 ⁰ and 49.46 ⁰ respectively.
Angle for the first order diffractionThe angle for the first order diffraction is calculated as follows;
dsinθ = mλ
sinθ = mλ/d
For shortest wavelength (λ = 380 nm)d = 1/10,000 lines/cm
d = 1 x 10⁻⁴ cm x 10⁻² m/cm = 1 x 10⁻⁶ m/lines
sinθ = (1 x 380 x 10⁻⁹)/(1 x 10⁻⁶)
sinθ = 0.38
θ = sin⁻¹(0.38)
θ = 22.33 ⁰
For longest wavelength (λ = 760 nm)sinθ = (1 x 760 x 10⁻⁹)/(1 x 10⁻⁶)
sinθ = 0.76
θ = sin⁻¹(0.76)
θ = 49.46 ⁰
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For an object on a flat surface, the force of gravity is 10 newtons downward and the normal force is 10 newtons upward. The applied force is 15 newtons toward the right and the frictional force is 12 newtons toward the left. What is the magnitude and direction of the net force?
3 newtons toward the left
3 newtons upward
3 newtons downward
3 newtons toward the right
The magnitude of the angular momentum of the two-satellite system is best represented by
The magnitude of the angular momentum of the two-satellite system is best represented as, L=m₁v₁r₁-m₂v₂r₂.
What is angular momentum.?The rotational analog of linear momentum is angular momentum also known as moment of momentum or rotational momentum.
It is significant in physics because it is a conserved quantity. the total angular momentum of a closed system remains constant. Both the direction and magnitude of angular momentum are conserved.
The magnitude of the angular momentum of the two-satellite system is best represented as;
L=∑mvr
L=m₁v₁r₁-m₂v₂r₂
Hence, the magnitude of the angular momentum of the two-satellite system is best represented as, L=m₁v₁r₁-m₂v₂r₂.
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Use your knowledge of the Law of Conservation of Mechanical Energy to evaluate the
following scenarios about a frictionless roller coaster if the coaster starts from rest at the
top of a hill and then rolls down the hill.
A. Where is KE-PE?
B. Where is KE=0?
C. Where is PE=0?
The diagram shows an incomplete scale drawing to find the resultant of two 10N forces acting at a point in the direction shown
The resultant of the two 10N forces acting at a point in the given direction is the single force which will have the same effect as all the forces acting at that point.
What is the resultant of forces?The resultant of two or more forces is that single force which will have the same effect as all the forces acting at that point in a given direction.
Since forces are vector quantities, the resultant force is obtained by vector addition.
The direction of the forces are also obtained.
Therefore, the resultant of the two 10N forces acting at a point in the given direction is the single force which will have the same effect as all the forces acting at that point.
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Can you have curly hair even though your hair is short and soft? (Women)
Why is it not possible to achieve a higher resolution in the light microscope?.
Higher resolution cannot be achieved with a light microscope because wavelength of light is larger that wavelength of electrons.
What is light microscope?Light microscope is defined as the type of microscope that makes use of visible light to magnify objects into images that can be observed.
The wavelength of light is larger than that of the electrons, therefore, higher resolution cannot be achieved with a light microscope.
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What is the direction of a vector that has the following components: x = -44 m y = -59 m
The direction of a vector that has the following components is 233°.
What is direction of a vector?
The direction of a vector is where its endpoint points. However, when at least one of the characteristics mentioned above is different, we say that the vectors are different.
In this case, this calculus will be:
[tex]tan\theta= \frac{59}{44} \\\theta= tan^{-1}(\frac{59}{44})\\ \theta= 233\°[/tex]
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The vector with components x = -44 m and y = -59 m has a direction of approximately 52.16 degrees counterclockwise from the positive x-axis.
The direction of a vector with components x = -44 m and y = -59 m can be determined using trigonometry. In this case, we have:
x-component (x) = -44 m
y-component (y) = -59 m
We can use the inverse tangent function to find the angle.
The direction angle (θ) can be calculated as:
θ = arctan(y / x)
θ = arctan((-59 m) / (-44 m))
Calculating this expression:
θ ≈ arctan(1.341)
To find the actual angle, we can use a calculator or table to determine the inverse tangent of 1.341.
θ ≈ 52.16 degrees
Therefore, the direction of the vector is approximately 52.16 degrees in the counterclockwise direction from the positive x-axis.
The vector with components x = -44 m and y = -59 m has a direction of approximately 52.16 degrees counterclockwise from the positive x-axis.
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Which two changes would decrease the gravitational force between two objects?
A. Increase the distance between the objects B. Increase the mass of both objects
C. Decrease the mass of one of the objects
D. Increase the mass of one of the objects
E. Decrease the distance between the objects
The gravitational force will decrease when we increase the distance between the objects and decrease the mass of both objects.
What are the factors affecting gravitational force?The factors affecting gravitational force are the masses of the objects and the distance separating the objects.
The gravitational force increases with increase in mass and decreases with increase in distance of separation and vice versa.
Therefore, the gravitational force will decrease when we increase the distance between the objects and decrease the mass of both objects.
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A simulation shows whether changing various weather conditions increases the likelihood that a hurricane will form. which type of model is this?
The type of model used is most likely to be conceptual because it shows the relationship between cause and effect.
What is a simulation?A simulation can be defined as a model which is designed and developed to imitate the operation of an existing (proposed) real-life system or natural phenomenon, so as to enhance the ability to study, analyze, and make informed decisions about it.
Generally, there are different types of simulation and these include the following:
Mathematical model.Conceptual model.Computer-generated model.Physical model.In this scenario, the simulation which shows whether changing various weather conditions increases the likelihood that a hurricane will form is missing.
Thus, I would infer that the type of model used is most likely to be conceptual because it shows the relationship between cause and effect.
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Three cars, car x, car y, and car z, begin accelerating from rest, at the same time. car x is more massive than car y, which is more massive than car z. the net force exerted on each car is identical. after 10 seconds, which car has the most amount of momentum?
When the net force exerted on each car is identical. after 10 seconds, the amount of momentum is same for all cars.
What is impulse?The change in momentum is equal to the product of impact force applied while colliding and time for that impact.
F. t = m (Vf -Vi)
where, Vf is the final velocity and Vi is the initial velocity.
For car X, Fx x t = Mx Vx
For car Y, Fy x t = My Vy
For car Z, Fz x t = Mz Vz
The force applied is same for all and the the time is also same equal to 10 seconds. The impulse is same for all the cars.
Thus, the three cars have same momentum.
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#1 explain why there is no such thing as a quick and easy way to lose weight.
#2 why can’t you not always trust “before and after” photos?
#3 what are three things you should do before you buy exercise equipment?
#4 name a exercise equipment, how it is supposed to work and why you are skeptical about it?
Exercise is a vigorous activity that tends to help us to burn calories and loose weight in the process.
What is exercise?Exercise is a vigorous activity that tends to help us to burn calories and loose weight in the process. There is no quick way to loose weight because the calories were added on gradually and must also be lost gradually.
Before and after photos does not show the loss in calories. This can only be determined by measurement.
Before you buy exercise equipment;
Ensure that the equipment meets your unique needsEnsure that you can afford itEnsure that you have enough space to contain the equipmentAn example of an exercise equipment is a stationary bicycle. It works when you sit or stand on it and cycle repeatedly though it doesn't move. I am skeptical about it because it may not help you burn a lot of calories except you use it for long periods of time.
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When two surfaces interact, some mechanical energy leaves the system as thermal energy
due to
a) surrounding heat
b) water
c) friction
d) fusion
When two surfaces interact, some mechanical energy leaves the system as thermal energy due to Friction.
We have a really confusing question and I would appreciate the help
Q. consider how much each type of energy transfer plays a role in heat loss/insulating a building and why?
Thermal insulation reduces unwanted heat loss and also reduces unwanted heat gain.
What is insulation?Insulation creates a barrier between the hot and the cold object by reducing heat transfer by either reflecting light radiation.
Insulating materials are bad conductors of electricity and heat. So, insulating reduces the heat loss via conduction.
Thermal energy is prevented to increase the temperature of building in summers and decrease in winters. The thermal energy transfer plays vital role in insulating a building.
Thus Thermal insulation reduces unwanted heat loss and also reduces unwanted heat gain.
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A source charge of 3 µc generates an electric field of 2.86 × 105 n/c at the location of a test charge. what is the distance, to the nearest hundredth, of the test charge from the source charge?
Hi there!
Recall the equation for the electric field produced by a point charge:
[tex]E = \frac{kQ}{r^2}[/tex]
E = Electric field (2.86 × 10⁵ N/C)
k = Coulomb's Constant (8.99 × 10⁹ Nm²/C²)
Q = Charge (3 × 10⁻⁶ C)
r = distance from center of charge (? m)
Rearrange the equation to solve for 'r'.
[tex]r^2 = \frac{kQ}{E}\\\\r = \sqrt\frac{kQ}{E}}}\\\\r = \sqrt{\frac{(8.99\times10^9)(3\times10^6)}{(2.86\times 10^5)}} = \boxed{0.307 m}[/tex]
Answer:
0.307
Explanation:
edge22
During a certain chemical reaction, energy is transferred from the reaction system to its surroundings. Which statement is true in this situation? OA. The particles differ in potential energy instead of kinetic energy. B. The particles in the reaction system have more kinetic energy. C. The particles in the surroundings have more kinetic energy. OD. The kinetic energy of the particles in the system and its surroundings are the same.
The particles in the reaction system have more kinetic energy than the surroundings.
What is exothermic reaction?Exothermic reaction is a type of reaction in which energy is lost to the environment.
Internal energy (E) = kinetic energy (K.E) + potential energy (P.E)
Change in internal energy (ΔE) = K.E (particles) - K.E (surroundings)
Since energy is lost to the environment, we can conclude that the particles in the reaction system have more kinetic energy than the surroundings.
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i need help with this!!
Answer:
183
Explanation:
Ohm's Law states that Resistance = Voltage / Current, so:
220/1.2 = 183.333
A manufacturer supplies plastic cups that are placed under the legs of the chair
A manufacturer supplies plastic cups that are placed under the legs of the chair. The manufacturer's claim is that there will be no marks of chair due to pushing or pulling on the floor.
Who is a manufacturer?A manufacturer is a person who converts his idea of developing and constructing any item using some set of machines.
A manufacturer supplies plastic cups that are placed under the legs of the chair.
When there is a relative motion between two objects, friction force causes the opposition to this motion. Between chair and floor, there will be high magnitude of force. But if we insert plastic cups in the legs of chair, then the friction between cup and floor will be less. This keeps the floor protected form any scratches.
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Sound waves move the most quickly through which materiel?
A. Water
B. Iron
C. Milk
D. Air
What is the direction of a current that experiences the magnetic force shown above
east
south
north
west
Answer: Up
Explanation:
A baseball is thrown horizontally at 55m/s. The ball slows down at a rate of -10 m/s2. How long is the ball in the air before coming to rest?
The time of motion of the ball before coming to rest is determined as 5.5 s.
Time of motion of the ball
The time of motion of the ball before coming to rest is calculated as follows;
v = u + at
when the ball comes to rest, v = 0
0 = u + at
0 = 55 + (-10)t
0 = 55 - 10t
10t = 55
t = 5.5s
Thus, the time of motion of the ball before coming to rest is 5.5 s.
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After three half-lives have elapsed, the amount of an 8.0 g sample of a radionuclide that
(hint: pizza slices)
a. remains undecayed is 1.0 g
b. has decayed is 7.09
c. remains undecayed is one-third the original amount
d. more than one correct response
e. no correct responsel
After three half-lives have elapsed, the amount of an 8.0 g sample of a radionuclide that remains undecayed is 1.0 g.
What is Half-Life?Half-Life refers to the time it takes for half the amount of a substance to disappear or change.
The nucleus of the atoms of radioactive elements disintegrate to half their starting amounts after every Half-Life.
After three half-lives one-eight of the original atoms remain.
Therefore, after three half-lives have elapsed, the amount of an 8.0 g sample of a radionuclide that remains undecayed is 1.0 g.
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In which stage of life will the sun undergo the most change?.
What type of chemical reaction is this
Cu + 2AgNO3 → Cu(NO3)2 + 2Ag
Answer:
redox reaction
Explanation:
Question 25 (Mandatory) (1 point)
◄) Listen
Explain the value of being able to disagree respectfully with another person.
A
It's very important for an individual to possess the ability to disagree respectfully with another person because strengthens one's relationships.
What is a conflict?A conflict is any form of disagreement, misunderstanding, or struggle that arises between two (2) or more parties, especially due to any of the following reasons;
Differing opinionsIncompatibilitiesA difficult challengeSuperiorityHowever, it's very important for an individual to possess the ability to disagree respectfully with another person because of the following:
Working through conflicts peacefully.It strengthens one's relationships and understanding of others.It mitigates the chances of physical confrontations and assaults.Read more on conflict here: brainly.com/question/24769299
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A student investigates the efficiency of a scale model of an electricity generating wind turbine using the equipment in figure 1.
the student changed the number of sales on the turbine and measures the power output from the turbine's generator. the air blower is supplied with 533w and has efficiency of 0.62.
when using two sails, the efficiency of turbine was 13%. calculate the power generated.
Based on the efficiency of the airblower of 62%, power generated by the airblower is 330.5 W.
What is efficiency of a machine?Efficiency of a machine is a ratio of the work output and the work input of a machine.
Efficiency = work output/work input × 100%The power generated by the airblower = ?
Power input to th air blower = 533 W
Efficiency = 0.62 or 62 %
Power generated by the airblower = Efficiency × work input/100
Power generated by the airblower = 62 × 533/100 = 330.5 W
Therefore, the power generated by the airblower is 330.5 W.
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Suppose you look at the huge clock on the Big Ben Tower in London and it reads 12 noon. If you could travel away from the clock at the speed of light and view it with a telescope, it would
Answer:
Remain at 12 noon - you would be traveling with the wavefront that reads 12 noon:
Also Δt' = Δt / (1 - β^2)^1/2
Where Δt is the proper time interval (at the clock)
Since the denominator is zero the measured time interval is also infinite and the time between "ticks" is infinite
a waddling armadillo of mass 500kg moves at 5 m/s. how much kinetic energy does it have?
Answer:
K=6.250 J
Explanation:
m=500kg
v=m/s
Kinetic energy= ½mv²=½(500×25) J= 6.250 J