The velocity of the ball at position A is 3.13 m/s.Since all energy is converted to KE.
What is potential energy?The potential energy is due to the virtue of the position and the height. The unit for the potential energy is the joule.
A person has the most potential energy due to her position. when he is sitting on the highest point.
Given data;
Mass,m = .5 kg
Height,H = 0.5 m
Acceleration due to gravity,g = 9.8 m/s²
H is the height
The potential energy is found as;
The potential energy is mainly dependent upon the height of the object.
Potential energy = mgh
The potential energy at point B;
PE = mgh
PE = ( 1.5 kg) ( 9.8 m/s2) (0.5 m)
PE = 7.35 J
Since all energy is converted to KE, the kinetic energy at point B;
KE = 0.5mv^2
KE = PE
7.35 = 0.53(1.5) v^2
V = 3.13 m/s
Hence, the velocity of the ball at position A is 3.13 m/s.
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A man walks 30 m to the west, then 5 m to the east in 45 seconds.
a. What is his displacement?
b. What was his total distance walked?
c. What is his average velocity?
Answer:
a. Displacement=30²+5²=925= 30.4m
b. Total distance=30m+5m=35m
c. V=s/t. = 30.4/45=0.6m/s
A cliff diver jumps off a 57m cliff and lands in the water 4.3 seconds later, a distance of 2.15m from the cliffs edge. What was the magnitude and direction of his starting velocity
The cliff diver jumps off with a velocity of 7.85m/s at an angle of 86° with respect to the ground.
The height of the cliff = 57m
The horizontal distance from the cliff = 2.15m
The time is taken = 4.3s
The acceleration due to gravity g = 9.81m/s²
Consider the vertical y-axis
d = 57mWe know the equationd = ut +1/2gt²
57 = u (4.3) + 1/2 (9.81) (4.3)²
57 = 4.3u + 90.69
u = -7.836m/s
The y component of initial velocity is in the upwards direction
Consider the horizontal x-axis
d = 2.15 mWe know the equation, in case of no accelerationd = ut
2.15 = u (4.3)
u = 0.5 m/s
The net velocity is the square root of the summation of the squares of the x and y components of velocity
Net velocity = 7.85m/s
For the direction, tan θ = y/x = 15.67
θ= 86°
So the cliff diver jumps off with a velocity of 7.85m/s at an angle of 86° with respect to the ground.
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In which of the three states of matter do the particles transfer significant amounts of energy by both conduction and convection?
In the gaseous state, particles transfer significant amounts of energy by both conduction and convection.
What is convection?The term convection refers to a pattern of heat transfer in which there is the movement of a significant amount of matter. In convection, the particles of a fluid are moved from one point to another.
Thus, in the gaseous state, particles transfer significant amounts of energy by both conduction and convection.
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4. T or F X-rays, ultraviolet light, and gamma rays all can travel through interplanetary space, so they are examples of waves.
5. What happens to the amplitude of water waves as you get farther from the disturbance that caused them? Why?
4. The X-rays, ultraviolet light, and gamma rays all can travel through interplanetary space, so they are examples of waves is a False.
5. The amplitude of water waves as you get farther from the disturbance that caused them decreases.
What is electromagnetic spectrum?The electromagnetic spectrum consists of the range of all types of EM radiation. Radiation is packet of energy that travels and spreads out. It has radio waves, infrared waves, visible light waves, ultraviolet rays and microwaves.
They possess high energy even to penetrate deep within the material. The electromagnetic spectrum has longer wavelength and less frequency.
4. The Earth's environment is thick an adequate number of that for all intents and purposes no X-beams can come through from space the entire way to the Earth's surface. This is great as far as we're concerned yet in addition terrible for stargazing. We need to put X-beam telescopes and identifiers on satellites.
Thus, X-rays, ultraviolet light, and gamma rays all can travel through interplanetary space, so they are examples of wave is a False statement.
5. The amplitude of the wave decreases as the time period increases. But when we get far from the disturbance, the amplitude increases.
Thus, the amplitude of water wave increases as we get farther from the disturbance.
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A cube of metal of side 10cm is fully immersed in a liquid of relative density 0.8.Calculate the upthrust experienced by the body. Take density of water=1000kgm3 and g=10ms-1
The upthrust experienced by the cube of metal is determined as 7.84 N.
Upthrust experienced by the body
The upthrust experienced by the body is calculated as follows;
Fu = ρVg
where;
ρ is density of the bodyV is volume of the bodyg is acceleration due to gravityDensity of the bodyS.G = density of the body / density of water
density of the body = S.G x density of water
ρ = 0.8 x 1000 kg/m³
ρ = 800 kg/m³
Volume of the bodyV = L³
V = (0.1)³
V = 0.001 m³
Upthrust = ρVg
Upthrust = 800 x 0.001 x 9.8
Upthrust = 7.84 N
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A results force of 25newtons acts on a mass of 0.50kilogram starting from rest .find acceleretion in m/s2 , the final velocity after 20seconds, the distance moved in m
Answer: See below
Explanation:
a) Using Newton's 2nd Law, rearranging and solving for acceleration
[tex]a &= \frac{F}{m}\\ &= \frac{25\ \text{N}}{0.5\ \text{kg}}\\ &= \boxed{50\ \text{m/s}^2}[/tex]
b) Using the acceleration 50 m/s^2 and the initial velocity v = 0 (since the object starts from rest), the final velocity at t = 20, v can be determined using a suitable equation as follows:
[tex]v &= u+ at\\ &= 0+ 50\ \text{m/s}^2(20\ \text{s})\\ &= \boxed{100\ \text{m/s}}[/tex]
c) To determine the distance s traveled in the 20 seconds, we'll use a suitable equation:
[tex]s &= ut+\frac{1}{2}at^2\\ &= 0+\frac{1}{2}(50 \text{m/s}^2)(20\ \text{s})^2\\ &= \boxed{10\ 000\ \text{m}}[/tex]
The tip of a fan blade is 0.61 m from the center of the fan. the fan turns at a constant speed and completes 2 rotations every 1.0 s. what is the centripetal acceleration of the tip of the fan blade?
The centripetal acceleration of the tip of the fan blade is 96.23 m/s²
What is centripetal acceleration?The acceleration developed when a body is moving in circular way, directed towards the center of the circular path.
The tip of a fan blade is 0.61 m from the center of the fan. the fan turns at a constant speed and completes 2 rotations every 1.0 s
ac = ω²r
where ω = angular speed = 2πN/60, N = Rotation per minute
From the question, N = 2 x 60/1 = 120 RPM
So, the angular speed will be
ω = 2π x 120 /60
ω = 12.56 rad/s
Then, the centripetal acceleration is
ac = (12.56)² x 0.61 m
ac = 96.23 m/s²
Thus, centripetal acceleration of the tip of the fan blade is 96.23 m/s²
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What's the difference between the speed and velocity of an object?
question 1 options:
speed refers to the distance an object travels over time, whereas velocity represents the speed only at a given moment.
speed refers to the distance the object travels only, whereas velocity accounts for the acceleration of the object.
speed refers to the distance an object travels per unit of time only, whereas velocity also indicates the direction of travel.
speed accounts for the distance traveled and the direction, whereas velocity considers only the distance traveled per unit of time.
Answer:
C
Explanation:
velocity is a vector unit, meaning it isn't scalar so also gives direction, same as distance vs. displacement.
Which of the following describes an action-reaction pair?
A. You push on a wall, and the wall pushes back on you.
O B. You sit on a chair, and the chair is pulled down by gravity.
O C. A cup pushes down on a table, and the table pushes down on the
ground.
D. The Moon's gravity pulls on Earth, and your gravity pulls on the
Moon.
Answer:
A) only the wall is involved for both forces (action-reaction)
A woman takes her dog rover for a walk on a leash. She pulls on the leash with a force of 30.0 N at an angle of 29° above the horizontal sidewalk. What force is tending to lift Rover vertically off the ground?
Please help I'm stuck.
19.8 N force is tending to lift Rover vertically off the ground.
What is horizontal and vertical component?The horizontal velocity component ([tex]v_{x}[/tex]) describes the influence of the velocity in displacing the projectile horizontally. The vertical velocity component ([tex]v_{y}[/tex]) describes the influence of the velocity in displacing the projectile vertically.
According to the question,
The women pulls the dog with a force of 30 N at an angle of 29° from the horizontal.
Horizontal component= 30cos(29°) = 22.2 N
Vertical component = 30sin(29°) = 19.8 N
Therefore,
The horizontal component would tend to make the dog move forward and the vertical component would tend lift it off the ground.
Hence,
19.8 N force is tending to lift Rover vertically off the ground.
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An arrow is shot horizontally from the top of a building and it lands 200m from the foot of the building after 10s. assuming air resistance is negligible, calculate the initial velocity of the arrow, find also the height of the building
The initial velocity and the height of this building are 29 m/s and 780 meters respectively.
How to calculate the initial velocity?In order to calculate the initial velocity, we would apply the second equation of motion:
S = ut - ½at²
200 = u10 - ½(9.8 × 10²)
200 = u10 - 490
u10 = 490 - 200
u10 = 290
u = 290/10
Initial velocity, u = 29 m/s.
Next, we would determine the height of the building:
H = ut + ½at²
H = 29(10) + ½(9.8 × 10²)
H = 290 + 490
Height, H = 780 meters.
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What is the magnitude of the magnetic dipole moment of the bar magnet
The magnitude of the magnetic dipole moment of the bar magnet is 1.2 Am²
Magnetic dipole moment of the bar magnet
The magnitude of the magnetic dipole moment of the bar magnet at distance from its axis is calculated as follows;
[tex]B = \frac{2\mu_0m}{4\pi r^3} \\\\m = \frac{4\pi r^3 B}{2\mu_0}[/tex]
where;
B is magnetic fieldm is dipole momentμ is permeability of free spacem = (4π x 0.1³ x 2.4 x 10⁻⁴)/(2 x 4π x 10⁻⁷)
m = 1.2 Am²
The complete question is below:
What is the magnitude of the magnetic dipole moment of the bar magnet from 0.1 m of its axis and magnetic field strength of 2.4 x 10⁻⁴ T.
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Select the appropriate shape for the given volume form
V = πr²h
V = πr³
V = lwh
V== πr²h
3. in adlerian therapy, clients learn how core beliefs that have been helpful in the past might not work well now and then to put that understanding to use in the real world. what therapeutic process is referred to jim to overcome his core beliefs and move forward? as a counselor, how do you make him understand?
Adlerian therapy is a method in which a therapist collaborates with a client to pinpoint challenges and develop successful solutions for achieving their objectives.
Key Takeaways: Adlerian Therapy
Individual therapy, often known as Adlerian therapy, places an emphasis on the patient's capacity to effect good change in his or her own life.
Adlerian therapy consists of four stages: engagement, assessment, insight, and reorientation.
In Adler’s theory, individuals work to overcome feelings of inferiority and to act in ways that benefit the social interest.
Four Stages of Adlerian Therapy :
Engagement
Assessment
Insight
Reorientation
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All stars go through a lifecycle.
The star Mira will go through a supernova stage in its lifecycle but the Sun will not.
How is the star Mira different to the Sun?
Mira is much bigger than the Sun.
Only very massive stars will go through a supernova stage, causing the outer layer to explode away and the core to collapse in on itself, becoming very dense.
The work function for magnesium is
3.70 eV. What is its cutoff frequency?
Hint: 1 eV 1.60 x 10-19 J
[ ? ] × 10⁰ ² ) Hz
]
The cut off frequency of the magnesium atom is obtained as 8.9 * x 10^18 Hz.
What is the cut off frequency?The cut off frequency is the lowest frequency of the incident ray at which photoelectric effect occurs.
Given that;
1 eV gives 1.60 x 10-19 J
3.70 eV gives 3.70 eV * 1.60 x 10-19 J/1 eV
= 5.92x 10^-19 J
Now;
Wo = hfo
fo = Wo/h
fo = 5.92x 10^-19 J/6.6 * 10^-34
fo = 8.9 * x 10^18 Hz
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When in contact with hydrochloric acid, which mineral gives off bubbles of carbon dioxide gas?.
Answer:
calcite
Explanation:
red dwarf stars (stars between 0.08 and 0.5 solar masses) evolve very differently than other stars as they age because ____.
Red dwarf stars evolve very differently than other stars as they age because their interiors are well mixed, through strong convection.
What are red dwarf stars?
Red dwarf stars are the smallest and coolest kind of stars on the main sequence.
Red dwarf stars (stars between 0.08 and 0.5 solar masses) evolve very differently than other stars as they age because their interiors are well mixed, through strong convection.
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How much heat is needed to raise the temperature of 100.0 g of water by 85.0°C ? A. 8,500 J 35,500 J B. C. 1.1 J
The quantity of heat required to raise the temperature of the water is approximately 35,500 J.
Heat required to raise the temperature of water
The quantity of heat required to raise the temperature of the water is calculated as follows;
H = mcΔθ
H = 100 x 4.18 x 85
H = 35,530 J
Thus, the quantity of heat required to raise the temperature of the water is approximately 35,500 J.
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as the mass of the central star increases, the distance to the habitable zone __________ and the size (width) of the habitable zone __________.
As the mass of the central star increases, the distance to the habitable zone increases and the size (width) of the habitable zone increases.
How the does the size and mass of a star affect its habitable zone?A star is a large luminous object found in space which produces heat and light energy as well as electromagnetic radiation.
The habitable zone of a star is the zone or area where liquid water can be found.
The distance habitable zone of a star increases with increase in mass of the star.
Therefore, as the mass of the central star increases, the distance to the habitable zone increases and the size (width) of the habitable zone increases.
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4.Which of the following is the best description of combustion. Combustion is when you ___________________.
A. Use carbon dioxide and light energy to make oxygen and heat energy.
B. Use oxygen to convert a fuel to heat and light energy.
C. Use carbon dioxide and a fuel to produce water vapor and energy.
D. Use oxygen and a sugar to make energy and carbon dioxide.
Answer:
B. Use oxygen to convert a fuel to heat and light energy.
What is combustion?
Combustion is a chemical process in which a substance reacts rapidly with oxygen and gives off heat. The original substance is called the fuel, and the source of oxygen is called the oxidizer.
The fuel can be a solid, liquid, or gas, although for airplane propulsion the fuel is usually a liquid.
For example, charcoal is combining with oxygen.
Combustion is commonly called burning, and the substance that burns is usually referred to as fuel.
To summarize,
For combustion to occur three things must be present:
a fuel to be burned.a source of oxygen a source of heat.As a result of combustion, exhausts are created and heat is released. You can control or stop the combustion process by controlling the amount of the fuel available, the amount of oxygen available, or the source of heat.
Therefore,
Combustion is when you use oxygen to convert a fuel to heat and light energy.
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An Object weighs 600N on Earth. What would its weight be on on another planet of gravitational acceleration 8N/kg?
Answer:
Correct option is A)
Weight on earth = 600N
Let g= 10m/s2 on earth
Mass on earth = 10600=60 kg
Now, since mass is a constant quantity so, it will remain 60 kg on the moon also.
Now, weight on moon = mg′
m= mass =60 kg
g′ = acc. due to gravity on moon = 61th the value on earth
So, Weight on moon = 61th of the weight on earth
⇒ Weight on the moon =600×61=100 N
If you separate vector B into its components. How many components will it have? Those components will be called?
The vector B will have two components and those components will be called resultant vectors.
What is a component vector?
A component vector is a unit vector that represents a given vector in a particular direction.
A vector can be represented in x - direction and y - direction.
x - component of the vector = Bcosθy - component of the vector = BsinθThus, the vector B will have two components and those components will be called resultant vectors.
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what are challenges of securing a crime scene
At any crime scene, the two greatest challenges to the physical evidence are contamination and loss of continuity.
What is the meaning of physical evidence?In evidence law, physical evidence (also called real evidence or material evidence) is any material object that plays some role in the matter that gave rise to the litigation, introduced as evidence in a judicial proceeding (such as a trial) to prove a fact in issue based on the object's physical characteristics.
The two types of evidence at crime scenes:
Biological evidence (e.g., blood, body fluids, hair and other tissues)
Latent print evidence (e.g., fingerprints, palm prints, footprints)
The biggest impediment to an investigation is the removal or loss of a piece of evidence from the scene of a crime.
Hence, at any crime scene, the two greatest challenges to the physical evidence are contamination and loss of continuity.
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suggest why it is better to use light gates and a computer than to use a stopwatch and a ruler to measure the speed of a toy car
Human response times are eliminated from time measurement using light gates. if the stopwatch is damaged, the data logger terminates it.
What is speed?Speed is defined as the rate of change of the distance or the height attained. it is a time-based quantity. it is denoted by u for the initial speed while u for the final speed. its si unit is m/sec.
To measure the speed of a toy automobile, it is preferable to utilize light gates and a computer as opposed to a stopwatch and a ruler.
Because Light gates eliminate the effects of human reaction delays for measuring time. is damaged,
The stopwatch is stopped by the data logger. With no reaction time, the uncertainty is substantially reduced.
The average speed may be determined by measuring the distance between the two light gates.
Hence, it is better to use light gates and a computer than to use a stopwatch and a ruler to measure the speed of a toy car.
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Kylie has a modern quarter with a mass of 5.623\,\text{g}5.623g5, point, 623, start text, g, end text and an older silver quarter with a mass of 6.24\,\text{g}6.24g6, point, 24, start text, g, end text. What is the combined mass of the quarters
The combined mass the quarters, given that the modern and old quarters has masses of 5.623 g and 6.24 g respectively is 11.863 g
Data obtained from the questionMass of modern quarter = 5.623 gMass of old quarters = 6.24 gCombine mass =?How to determine the combine massThe combine mass of the quarter can be obtained by simply adding the masses of the individual quarters together. This is illustrated below:
Combine mass = mass of modern + mass of old
Combine mass = 5.623 + 6.24
Combine mass = 11.863 g
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A tennis ball moving with velocity v₁ hits a stationary tennis ball. The collision is inelastic and the two balls start travelling
together, as shown in the picture. What is the velocity of the two tennis balls moving
together?
A. 2v1
B. 1/2v1
C. 1/3v1
D. V1
Answer:
B.1/2v1 that's the answer
You are trying to measure the mass of several different objects when you realize that there is a large wad of gum stuck to the underside of the balance pan. Removing the gum will improve the __________ of your measurements.
Answer:
accuracy
Explanation:
You are trying to measure the mass of several different objects when you realize that there is a large wad of gum stuck to the underside of the balance pan. Removing the gum will improve the accuracy of your measurements.
What observation method exposes people to frustrations, temptations, pressure, and boredom in a controlled environment, and is used for firearms training in police departments?
Virtual reality is the observation method that exposes people to frustrations, temptations, pressure, and boredom in a controlled environment, and is used for firearms training in police departments.
What is virtual reality?Virtual reality is an observation technique that is utilized in police agencies for weapons training. It exposes individuals to frustrations, temptations, pressure, and boredom in a controlled setting.
Police officers' psychophysiological reactions are impacted when participating in virtual reality weapons training exercises.
Electroencephalographic (EEG) and heart rate variability (HRV) measurements, as well as VR simulator performance metrics, are used as outcome measures.
In order to facilitate the design of a biocybernetic adaption layer that generates real-time modulations in simulation difficulty based on specific physiological responses, we propose a psychophysiological model.
Hence, virtual reality is the observation method that exposes people.
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The object has a redshift of 7.6 and the JWST observes the object at a wavelength of 2 microme-
tres (mid-infrared light).
(b) What is the wavelength of the light emitted by the object? (c) What type of radiation was originally emitted by the object?
b. The wavelength of light emitted by the object is 233 nm
c. The type of radiation originally emitted by the object is ultraviolet radiation.
To find the wavelength, we need to know what redshift is.
What is redshift?Redshift is the increase in wavelength and the corresponding decrease of frequency and photon energy of electromagnetic radiation.
Redshift is given by z = λ'/λ - 1 where
λ' = observed wavelength and λ = emitted wavelength.Making λ subject of the formula, we have
λ = λ'/(1 + z)
Given that has a redshift of 7.6 and the JWST observes the object at a wavelength of 2 micrometres (mid-infrared light).
So,
z = 7.6 and λ' = 2μm(b) What is the wavelength of the light emitted by the object?Substituting the values of the variables into the equation, we have
λ = λ'/(1 + z)
λ = 2μm/(1 + 7.6)
λ = 2μm/8.6
λ = 0.233 μm
λ = 233 nm
So, the wavelength of light emitted by the object is 233 nm
c. What type of radiation was originally emitted by the object?
Since the wavelength is 233 nm and the wavelength is in the range of ultraviolet radiation 200 nm - 315 nm.
So, the type of radiation originally emitted by the object is ultraviolet radiation.
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