Answer:
below
Explanation:
d = distance from ND to A
Average speed = total d / total time
a) total distance = d
= 1/2 t * 55 + 1/2 t * 90 total time = t
average speed = d / t = (1/2 t *55 + 1/2 t*90) / t
= 1/2 *55 + 1/2 * 90 = 72.5 km/hr av
b) time at 55 = 1/2d /55 time at 90 = 1/2 d 90
rate = d / t = d /( 1/2 d 55 + 1/2 d 90) = 1 / ( 1/110 + 1/180) = 68.3 avg
c) and d) are the same question?
total d /total time = avg 2d /( d / 72.5 + d/ 68.3) = 70.3 km/hr
Which of the following is NOT an example of a scalar quantity?
75 degrees Celsius
22.5 miles
2.0 meters, east
258 km
Which of the following is NOT an example of a vector quantity?
75 degrees Celsius
22.5 miles, south
2.0 meters, east
258 km, north
The answers include the following below:
The following which is not an example of a scalar quantity is 2.0 meters, east and is denoted as option C.The following which is not an example of a vector quantity is 75 degrees Celsius and is denoted as option A.What is a Scalar quantity?This is referred to as a quantity or any form of measurement which has magnitude but no direction and examples include 75 degrees Celsius , 22.5 miles etc as no direction is denoted in the measurement which is given in this type of scenario.
On the other hand, vector quantity is the measurement which has both magnitude and direction and examples include 22.5 miles, south , 2.0 meters, east etc which shows the direction in which the body is moving which is therefore the reason why the above options were chosen as the correct answer.
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if it requires energy u to accelerate a rocket fro rest to 1/2c the energy needed to acclerate a rocket from 1/2 c to c would be
The energy needed to accelerate a rocket from 1/2 c to c would be 3 times of U if it require U to accelerate from rest to 1/2c.
Now,we know that kinetic energy of rocket is given by =(1/2)mv² where m is the mass of the rocket and v is the velocity of rocket.
According to work-energy theorem,we know that work done=change in kinetic energy of the body.
Here,we have initial velocity of rocket is =0,and final velocity of rocket =1/2c
So,Work done=(1/2) ×m×(1/2)c² - 0²
=>U=(1 / 4) ×(1/2)×m×c²-------(eq1)
Now,we need to find the required amount of kinetic to accelerate it from 1/2c to c
So, required kinetic energy is Work done=(1/2)mc² - (1/2)×m×(1/2)c²
=>Required kinetic energy=(1/2×m×c²) × (1-1/4)
=>Required kinetic energy=(3/4)×(1/2×m×c²)
=>Required kinetic energy=(3)×((1 / 4) ×(1/2)×m×c²)
=>Required kinetic energy=3 ×times of U(from eq1)
Hence,kinetic energy required is 3 times of U.
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Assuming Birdman flies at a speed
of 35 m/s, how high should Birdman
fly to hit the bucket if the bucket is
placed 147 m from the start of the
field?
The birdman needs to soar 86.43m in the air to hit the bucket.
How can I calculate the horizontal speed?The ball's diameter, d, and the amount of time, t, it takes to cross the photogate can both be used to calculate the beginning horizontal velocity. Vo = d/t, then.
Time of motion of the birdman
The duration of the birdman's motion is the amount of time it takes for him to soar to his highest point.
R = Vₓt
where;
R is the birdman's motion's range or his horizontal distance.
Time of motion is t.
The horizontal speed is Vx.
t = R/Vₓ
t = 147/ 35
t = 4.2 seconds
Maximum height the missile has climbed
h = ¹/₂gt²
where;
The birdman's height is measured in h.
Gravitational acceleration, or g,
h = ¹/₂(9.8)(4.2)²
h = 86.43 m
The birdman must therefore fly to a height of 86.43m in order to hit the bucket.
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100 POINTS IF YOU CAN ANSWER THIS
If the preferred vehicle is a sports car, what is the conditional distribution for females?
(Table Included)
A. 35.6%
B. 54.2%
C. 0.02%
D. 44.3%
E. 62.6%
Answer:44.3
Explanation:
30 points & not that hard
The town of Fairfield, Connecticut is located on the east coast of the United States and is proposing clean energy projects such as solar panel farms to help reduce
carbon dioxide emissions and reduce electrical power costs to the town. The town has created a Clean Energy Task Force to lead these projects. You are going to attend a town meeting to ask questions about their proposals to install solar farms in various locations such as the parking lots of local high schools and over a
former landfill.
List at least 5 questions you should ask the Clean Energy Task Force before you make a decision.
(Please write a minimum of three sentences)
First I would ask
how much their budget is for one year. Next I would ask how they are going to have more clean energy. Other questions I would ask are where will you install the solar farms, will the farms impact local businesses and how much dirty energy they want to get out of the atmosphere
We can see the star sirius and its companion, the pup, moving around each other. careful measurement of this motion can provide: ___________
We can see the star Sirius and its companion, the pup, moving around each other. careful measurement of this motion can provide: the masses of both stars in the system.
a runner has a mass of 89 kilograms. he produces a force of 84 newtons between the ground and his running shoes. how fast does he accelerate?
a thin film of thickness 280 nm and index of refraction 1.4 coats a plate of glass having index of refraction 1.65. if light is perpendicularly incident on the glass, at what wavelength is the reflected light minimal?
If a thin layer with an index of refraction of 1.4 and a thickness of 280 nm coats a glass plate with an index of refraction of 1.65, the minimum wavelength of the reflected light is 182 nm.
What is the wavelength, exactly?When a waveform signal travels across space or down a wire, its wavelength is the distance between two identical locations (adjacent crests) in adjacent cycles. The standard units of measurement for this length in wireless systems are meters (m), centimeters (cm), or millimeters (mm) (mm).
Light is coming from a medium with a lower refractive index (n 1 = 1.50) into a medium with a higher index (n 2 = 1.60), so the net path difference in the reflected rays from the two interfaces will be equal to 2t (where t is the thickness of the thin film), because when that happens, light will enter the higher index medium.
When light travels from air to a thin film, the reflected ray's path shift equals 2; when it travels from a thin film to glass, the reflected ray's path shift equals 2′ /2+2t for constructive interference; 2t=m or 2t=m/n 1 where is the wavelength in the thin film, =546nm (given) wavelength in vacuum, and m=0 (minimum); thus, t
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Visible light has a higher frequency than radio waves on the electromagnetic spectrum. How does the wavelength of visible light compare to radio waves?.
The wavelength of visible light compare to radio waves in the sense that visible light waves have a shorter wavelength than radio waves.
What is wavelength?The wavelength is described as the spatial period of a periodic wave which is the distance over which the wave's shape repeats.
Radio waves are electromagnetic waves that are produced by man with an oscillating circuit.
Radio waves are used in broadcasting, the waves used in television are those of shorter wavelength and those of radio are those of longer wavelength.
Longer radions are reflected in the ionosphere and can be detected in antennas which is located at great distances from the emitting source. The medium waves are less reflected in the ionosphere, due to their large wavelength they can overcome obstacles, so they can travel great distances.
It is known that the visible radiation waves have a wavelength between approximately 400 and 700 nanometers, the radio waves range from 1 centimeter to 1 km, so they have longer wavelengths than the waves belonging to the visible spectrum.
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Which of the following identifies a treatment method developed after the discovery of germ theory?
O Perform a bloodletting procedure.
O Recommend frequent hand washing.
O Induce the patient to vomit.
O Treat the infection with an antibiotic.
Recommend frequent hand washing are the treatment method developed after the discovery of germ theory.
What is the importance and benefits of proper handwashing?Handwashing reduces the spread of contagious diseases: Contaminated hands can transmit a variety of contagious illnesses from one person to another. These illnesses include respiratory infections like the flu, colds, and coronavirus (COVID-19), as well as gastrointestinal infections like salmonellosis.The simplest and most reliable approach we all have to stop the transmission of illnesses spread through touch is to practise good hygiene. Our hands are home to more than 150 different types of germs. Additionally, compared to men, women's hands often have more germs on them.Thus, eliminating germs by handwashing aids in the prevention of diarrhoea, respiratory infections, and maybe even skin and eye diseases.Learn more about steps of proper handwashing refer to :
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jerome wants to photograph runners at a track meet. he wants his photographs to show motion. which type of setting will help emphasize a blur of motion?
XXX high shutter speed is the kind of setting that will help emphasise motion blur.
Motion blur is the appearance of moving objects streaming across a frame or sequence of frames, such as in a video or animation. When there is rapid movement or a long exposure, it occurs when the image being recorded changes throughout the course of one exposure. In both photography and video, motion blur is a result of the shutter speed, or how long the iris of the camera is open and exposed. When exposed for a longer period of time with a slower shutter speed than they would with a faster one, moving objects move further and fuzz more. Both photography and video can capture the motion blur effect, although they do it in somewhat different ways and for slightly different reasons. On the other hand, the effect itself is essentially the same in both mediums.
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using your data, how are you able to determine if conservation of momentum occurs in each collision?
Momentum is conserved if the relative velocities before and after the impact are equal.
What does force momentum mean?In most cases, momentum is the quantity that describes the internal motion of any moving object. Force, on the other hand, is the quantity that modifies the degree of action existing when applied to any object. Momentum is the amount of energy contained within a moving item.
What does momentum within daily life actually mean?Momentum is the amount of motion, to put it simply. Quantity may be assessed in this scenario because if an object is moving and has mass, it has momentum. If something is stationary, it doesn't have momentum.
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a motor lifts a mass m a height of 13 m in a time of 5.2 s. if the power output of the motor is 187 w, what is the mass in kg?
The required mass in kg when the power output, time, height are given is 7.63 kg.
We know that, the formula for power output for a motor is
Power P = (m* g*h)/t
where,
m is the mass in kg
g is the acceleration due to gravity in m/s²
h is the height in m
t is the time in sec
Given that,
P = 187 W
g = 9.8 m/s²
h = 13 m
t = 5.2 s
m = ?
Making m as subject in the above equation, we get,
m = (P* t)/(g* h) = (187* 5.2)/(9.8* 13) = 7.63 kg.
Thus, the required mass in kg is 7.63 kg.
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a 23-month-old child pulls a pan of hot water off the stove and spills it onto her chest and arms. her mother is right there when it happens. what should the mother do immediately?
When it happens mother should have to do cool the burn with tap water for 10 to 20 minutes immediately.
What are the steps to give first aid to a person with a large burn?Stop the burning process. Cool the burn. Supply pain relief.
Before the arrival of qualified emergency help, you should:
Remove restrictive items such as rings, watches, and bracelets.Use a fresh, cool bandage that is moist to cover the burnt area.Raise your hand so that it is higher than your heart.Is burning from boiling water serious?Pain and skin injury from wet heat or vapors can result from hot water scalding. Because the damaged tissues and cells are destroyed, this kind of burn can be deadly. The heat could even cause your body to go into shock. These burns can be fatal in more severe circumstances.
What should I do right away if I am burned?Cool the burn.
Place the affected area under cool (not cold) flowing water for about 10 minutes. Until the pain goes away, apply a cool, wet cloth to the burned area of the face. If you have a mouth burn from hot food or drink, place a piece of ice in your mouth for a while.
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the mass of an electron is 9.10939 x 10-31 kg. calculate the uncertainty in position if the velocity is 100.0 mi/h 1.0 %. ( 1 mi
The uncertainty in position if the velocity is 100.0 mi/h 1.0 % is 5.19 x 10-36 m.
What is velocity?Velocity is a vector quantity that describes the rate and direction of an object's motion. It is typically expressed as the magnitude of the speed of an object in a given direction. Velocity can be determined by measuring the displacement of an object over a certain amount of time. It is an important concept in physics, as it is used to describe the motion of objects. Velocity is closely related to other physical quantities such as acceleration, momentum, and force.
The uncertainty in position can be determined using Heisenberg's Uncertainty Principle. This states that the product of the uncertainty in position and the uncertainty in momentum must be greater than or equal to the Planck constant (h) divided by 4π. The momentum of the electron is equal to its mass multiplied by its velocity. Thus, the uncertainty in position is equal to (h)/(4πmv), where m is the mass of the electron and v is the velocity. In this case, this would be equal to
(6.626 x 10-34 Js)/(4π x 9.10939 x 10-31 kg x (100.0 mi/h x 1609.34 m/mi))
=5.19 x 10-36 m.
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multiple choice
12) When you move your hand or foot, your body has converted potential energy into ________ energy.
13) When coasting while roller skating, you eventually stop due to ________.
14) A ball has 100 J of potential energy when it is on a shelf. The kinetic energy of the ball the instant it hits the floor is ________J.
12). When you move your hand or foot, your body has converted potential energy into kinetic energy.
13). When coasting while roller skating, you eventually stop due to
friction causes kinetic energy to transfer to thermal energy.
14). A ball has 100 J of potential energy when it is on a shelf. The kinetic energy of the ball the instant it hits the floor is Kinetic increases, potential decreases.
What is kinetic energy, and how is it used?Kinetic energy is the force that propels motion, which can be seen in the movement of a particle, an object, or a group of particles. A person walking, a baseball being thrown, a piece of food falling from a table, and a charged particle in an electric field are all examples of objects in motion that use kinetic energy.
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when an apple is resting on top of a table, how many force pairs (number of pairs not individual forces)act on the apple?
The draw of the earth on the apple and the pull of the apple on the earth are forces operating in pairs (number of pairs, not individual forces).
What forces are at work while something is at rest?Since there is no net force acting on the item while it is resting , the downward force (weight) must counterbalance the force acting upward (normal force). Weight travels downhill, therefore it is always negative. For an item to be at rest, all of the forces must be equal to 0.
Can an object at rest be affected by a force?According to Newton's first rule, in order to have no net force exerted on an object, it must be at rest. Because if there is a total force acting on the object, it will change velocity. It will accelerate.
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a pipe of cross sectional area 1.2 m2 narrows to a pipe of cross-sectional area 0.4 m2. if the fluid is traveling at 1.7 m/s in the larger pipe, calculate the fluid speed in the narrower pipe.
The fluid speed in the narrower pipe is 4.5 m/s.
The speed of a fluid traveling through a pipe is determined by its cross-sectional area. In this case, a pipe of cross-sectional area 1.2 m2 is narrowing to a pipe of cross-sectional area 0.4 m2. The fluid is currently traveling at 1.7 m/s in the larger pipe. To calculate the fluid speed in the narrower pipe, the following equation can be used:
Speed = (Cross-sectional area of larger pipe/ Cross-sectional area of smaller pipe) × Speed of fluid in larger pipe
In this case, the equation becomes:
Speed = (1.2/0.4) × 1.7 m/s
Speed = 4.5 m/s
Therefore, the fluid speed in the narrower pipe is 4.5 m/s.
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which has the greatest inertia
A. Jumbo Jet
B. Bird
C. Car
Answer:C car
Explanation:
if betelgeuse were to radiate all of its energy at the peak-intensity wavelength, how many photons per second would it radiate?
if Betelgeuse were to radiate all of its energy at the peak-intensity wavelength, how many photons.
What is energy?
Energy, which is observable in the execution of labour as well as in the form of heat and light, is the quantitative quality that is transferred to a body or to a physical system in physics. It is a mechanically accepted quantity.
a )
Radius of the sun = .69645 x 10⁹ m .
600 times = 600 x .69645 x 10⁹ m
= 4.1787 x 10¹¹ m .
surface area A = 4π (4.1787 x 10¹¹)²
= 219.317 x 10²²
energy radiated E = σ A Τ⁴
= 5.67 x 10⁻⁸ x 219.317 x 10²² x (3000)⁴
= 100695 x 10²⁶ J
To know the wavelength of photon emitted
[tex]\begin{aligned}& \lambda_m T=b \\& \lambda_m=\frac{b}{T}\end{aligned}[/tex]
= 2.89777 x 10⁻³ / 3000
= 966 nm
= 1275 /966 eV
1.32 x 1.6 x 10⁻¹⁹ J
= 2.112 x 10⁻¹⁹ J
No of photons radiated = 100695 x 10²⁶ / 2.112 x 10⁻¹⁹
= 47677.5 x 10⁴⁵
= .476 x 10⁵⁰ .
b )
energy radiated by our sun per second
E₂ = σ A 5800⁴
energy radiated by Betelgeuse per second
E₁ = σ x 600²A x 3000⁴
E₁ / E₂ = σ x 600²A x 3000⁴ / σ A 5800⁴
= 36 X 10⁴ x 3⁴ x 10¹² / 58⁴ x 10⁸
= 25.76 x 10⁸ x 10⁻⁵
= 25760 times .
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Complete Question
The red giant Betelgeuse has a surface temperature of 3000 K and is 600 times the diameter of our sun. (If our sun were that large, we would be inside it!) Assume that it radiates like an ideal blackbody.a) If Betelgeuse were to radiate all of its energy at the peak-intensity wavelength, how many photons per second would it radiate?b) Find the ratio of the power radiated by Betelgeuse to the power radiated by our sun (at 5800 K).
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two parakeets sit on a swing with their combined center of mass 16.0 cm below the pivot. at what frequency (in hz) do they swing?
The two parakeets sitting on the swing with a combined center of mass 16.0 cm below the pivot swings with a frequency of 1.21Hz.
How to calculate frequency of swing?Given the data in the question
Length of pendulum; L=16.0cm =0.16m
Frequency; f=
Using the simple pendulum equation of time:
T2π = √L/9 -------let this be equation 1
Where T is the period of time, L is the length of the pendulum and g is the acceleration due to gravity(9.8m/s² ).
Also formula for Frequency:
f=1/T ------------let this be equation 2
Lets substitute equation 1 into equation 2
f = 1/2π√L/9
f = 1/2π√9/L
We substitute or values into the equation
f=1/2π√[9.8/0.16]
f=1/2π√[57.647-2]
f=1/2π*7.59256s
f=1.21 hZ
Therefore, the two parakeets sitting on the swing with a combined center of mass 16.0 cm below the pivot swings with a frequency of 1.21Hz.
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Hot water is poured into a mug and the mug gets hot. This is an example of which type of energy transfer?
A) Radiation
B) Conduction
C) Convection
D) This is not an energy transfer
Answer:
conduction i think
Explanation:
Answer:Conduction
Explanation:
what is the effective spring constant k of the two-spring system? express the effective spring constant in terms of k 1 and k 2 .
The Effective Spring Constant is [tex](\frac{k1k2}{k1 + k2} )[/tex] for a system of 2 springs with spring constant k1 and k2.
What is Spring Constant ?The term "spring constant" refers to the proportional constant k. It gauges the stiffness of the spring. A spring exerts a force F = -kx in the direction of its equilibrium position when it is stretched or compressed to a length that differs by an amount x from its equilibrium length.
Spring constants are available in plural (physics) a quality of a spring that is determined by the force acting on the spring to the displacement it produces.
K stands for the proportionality constant, commonly referred to as the "spring constant." In layman's words, stiffness and strength are shown by the k variable in Hooke's law (F = -kx). An item requires more force to be stretched to a specific length the greater the value of k.
Let the force actiong be F N
then , if k1 is the spring constant of spring 1
F = x1 * k1
or, x1 = F/k1.
Similarly for spring 2
x2 = F/k2
Now x1 + x2 = F (1/k1 + 1/k2)
or effective displacement
X= [tex]F(\frac{1}{k1} + \frac{1}{k2} )[/tex]
or, F = [tex]X * (\frac{k1k2}{k1 + k2} )[/tex]
So the Effective Spring Constant is [tex](\frac{k1k2}{k1 + k2} )[/tex].
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a btu is defined as the amount of energy required to raise the temperature of one lb of water by one degree celsius group of answer choices true false
A BTU is defined as the amount of energy required to raise the temperature of one lb of water by one-degree celsius is False.
A British thermal unit is a measure of the amount of heat in a fuel or energy source. This is the amount of heat required to raise the temperature of 1 pound of liquid water by 1 degree Fahrenheit, the temperature at which water reaches its maximum density.
BTU is the amount of energy required to raise the temperature of 1 pound of water to 1 degree Fahrenheit above sea level. Technically, this measurement refers to the amount of energy required for this process when water is at its maximum density.
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perceiving the color, motion, and form of a bird in flight illustrates a. parallel processing. %. opponent-process theory. q. trichromatic theory. d. serial processing. place theory.
parallel processing perceiving the color, motion, and form of a bird in flight illustrates.
Option a is correct.
The trichromatic hypothesis of colour perception is what?According to the trichromatic theory, our ability to perceive red, green, and blue hues as well as how they affect our cerebral activity are both explained by cones (Like a projection T.V.). Consequently, the precise colour we see is determined by the proportion of each colour to the others.
What foundation does trichromatic theory have?The three kinds of cone receptors that are responsible for colour vision are the foundation of the trichromatic hypothesis of colour vision. Beginning in the 18th century, this hypothesis has a very long history.
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based on this image alone, approximately how much of the galaxy's total mass is located within 5 kpc of the center, would you say?
The total mass of the galaxy within a radius of 5 kpc is approximately 3.25 billion solar masses.
A galaxy is a system of stars, remnants of stars, interstellar gas, dust, dark matter, bound together by gravity.
By using the equations of Newtonian mechanics, the total mass of the galaxy can be calculated by combining the mass of the stars, gas, dust, and dark matter within the 5 kpc radius.
The calculation can be made more accurate by adding in accurate estimates of the mass of the dark matter and other components of the galaxy.The total mass of a galaxy within a radius of 5 kpc can be calculated using the equation:
Mass = 2.3 x 10⁶ x (5 kpc)² x (1 solar mass/pc³)
Mass = 3.25 billion solar masses.
This calculation provided an approximate total mass for the galaxy, which is estimated to be 3.5 billion solar masses located within 5 kpc of the center.
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Corey, whose mass is 95 kg , stands on a bathroom scale in an elevator. The scale reads 810 N for the first 3.0 s after the elevator starts to move, then 930 N for the next 3.0 s .
Velocity of the elevator after 3 seconds is equal to v₂ = 3.79 m/s. The same two forces that were at play when the elevator was speeding up are still present. The normal force, which is less than at rest.
How to calculate?given,
mass of Corey = 95 Kg
reading of sale for first 3.0 s when elevator start to move = 810 N
scale reading for 3.0 s = 930 N
Gravitation force acting =
F = m g
F = 95 x 9.8
F = 931 N
using newton's second law, due to movement of elevator
F_{net} = m a
W - N = m a₁
930- 810 = 95 x a₁
a₁ = 1.26 m/s²
now,
velocity calculation
v₁ = a₁t
v₁ = 1.26 x 3.0 = 3.78 m/s
now, For second case
931 - 930 = 95 x a₂
a₂ = 0.010 m/s²
now, velocity after 3.0 s
v₂ = v₁ + a₂ t
v₂ = 3.78 + 0.010 x (3 - 3)
(3-3) because velocity after 3 second is calculate we need to calculate velocity after 3 s from beginning.
v₂ = 3.78 + 0.010
v₂ = 3.78 m/s
velocity of the elevator is equal to v₂ = 3.79 m/s.
What two forces are at work on you when an elevator is moving?When a person is moving in an elevator, there are two forces at work on him: gravity and the elevator's normal force. The elevator is stationary or travelling at a constant speed, and the two forces are of equivalent strength. When the elevator is accelerating uphill or downward, their magnitudes are not identical.
What movement does an elevator make as it ascends?Since an elevator will move in a straight path with a constant speed, it exhibits uniform linear motion.
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A robot that is exploring the surface of Mars has a mass of 136 kg. If the gravitational force acting on the robot is 504.6 N downward, what is the free-fall acceleration on Mars?
The free-fall acceleration on Mars is 3.71 m/s²
What do you mean by free fall?A body is said to be in freefall when it only moves in relation to the Earth's gravity. An external force exerted on the ball will cause its motion to accelerate. Gravitational acceleration is another name for this rate of free fall.According to Newton's second law of motion, force (F) = mass (m) times acceleration, an item in free fall will move with an acceleration (a). We can use a little mathematics to determine the object's acceleration in terms of the net external force and the object's mass (a = F / m).Given :
gravitational force acting on the robot is 504.6 N
F= 504.6 N
mass of the robot = 136 kg
a = F/ m
= 504.6/ 136 =3.71 m/s²
The free-fall acceleration on Mars is 3.71 m/s²
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A 1.2-kg spring-activated toy bomb slides on a smooth surface along the x-axis with a speed of 0.50 m/s. At the origin 0, the bomb explodes into two fragments. Fragment 1 has a mass of 0.40 kg and a speed of 0.90 m/s along the negative y-axis. In the figure, the energy released by the explosion is closest to?
The velocity of fragment 2 is equal to 0.88 m/s at 31°.
What is law of conservation of linear momentum?From the law of conservation of momentum, the sum of the momentum before and after the collision must be equal.
m₁ u₁ + m₂.u₂ = m₁ v₁ + m₂.v₂
where m₁ & m₂ is the mass of the collided objects, u₁ & u₂ are their initial speed while v₁ & v₂ is their final speed.
Given, the mass of the spring, m = 1.2 kg
The speed of the spring, v = 0.50 m/s
The mass of the first fragment, m₁ = 0.4 kg
The initial speed of fragment 1, u₁ = 0.9 m/s
The mass of the fragment, m₂ = 1.2 - 0.4 = 0.8 kg
In x-direction: [tex]mucos\theta = m_1v_1 cos\theta + m_2 v_2 cos\theta[/tex]
1.2 ×0.5 ×cos(0) = 0 + 0.8× v₂ cosθ
v₂ cosθ = 0.75
In y-direction: 12 (0) = -0.4(0.9) + 0.8 v₂ sinθ
v₂ sinθ = 0.45
Now, [tex]\displaystyle \frac{v_2sin\theta}{v_2cos\theta} =\frac{0.45}{0.75}[/tex]
tanθ = 0.6
θ = 31°
The value of the velocity of the fragment can be calculated as;
v₂ sinθ = 0.45
v₂ sin31 = 0.45
v₂ = 0.88 m/s
Thus, the magnitude of the velocity of fragment 2 is 0.88 m/s at 31⁰.
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A 30.0-kg load is being held in place using massless wires in the ideal pulley arrangement shown in the figure. What is the magnitude of the force F?
A very light wire is used to hang a series of 8.0-kg bricks. This wire will break if the tension in it exceeds 450 N. The bricks are hung one below the other from a hook in the ceiling using this wire, as shown in the figure.
(a) How many whole bricks can be hung without breaking the wire?
(b) If you add one more brick to the number found in part (a), which string will break?
