The north and west components of this displacement are 9.19 km and -7.71 km respectively.
North component of the displacement
The north component of the displacement is calculated as follows;
Dy = D sinθ
Dy = 12 km x sin50
Dy = 9.19 km
West component of the displacementDx = D x cosθ
Dx = - 12 km x cos(50)
Dx = -7.71 km
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Lacie kicks a football from ground level at a velocity of 13.9 m/s and at an angle of 25.0° to the ground. How long will the ball be in the air before it lands? Round your answer to the nearest tenth.
s
How far will the football travel before it lands? Round your answer to the nearest tenth.
m
Answer:
See below
Explanation:
vertical velocity=13.9 sin 25
When it hits the ground y = 0
0 = vo t - 1/2 a t^2
0 = 13.9 sin 25 t - 1/2 (9.81)t^2
0 = 13.9 sin 25 - 1/2 (9.81) t shows t = 1.1976 ~ 1.2 sec
horizontal speed x time = distance
13.9 cos 25 x 1.1976 =15 .1 meters
What does it mean for the forces acting on an object to be balanced?
When the forces are said to be balance, it means that net force is zero.
What is Net force?When two or more forces are acting on the system of objects, then the to attain equilibrium, net force must be zero.
The resultant of all the forces in horizontal and vertical direction is zero, when the forces are balanced.
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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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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
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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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.
Trivia Time!! At what velocity does light move?
Explanation:
Light Light from a moving source travels at 300,000 km/sec (186,000 miles/sec).
Note:
The Speed of Light Is Constant.
Explanation:
LIGHT TRAVELS AT A CONSTANT VELOCITY OF 300,000 km/sec.
A 10 kg ball Is released from the top of the hill how fast is the ball going when it reaches the base of the hill
The velocity of the ball going when it reaches the base of the hill will be 5.5 m/sec.
What is velocity?The change of distance concerning time is defined as speed. Speed is a scalar quantity. It is a time-based component. Its unit is m/sec.
The complete question is;
A 10 kg ball is released from the top of a hill. How fast is the ball going when it reaches the base of the hill? Approximate g as 10 m/s2 and round the answer to the nearest tenth.
hy = 2 m
h = 0.5 m
The given data in the problem is
m is the mass of block = 10 Kg
u is the initial velocity of fall = 0 m/sec
h is the distance of fall = 2.5 m
g is the acceleration of free fall =10 m/sec²
v is the hitting velocity of =?
According to Newton's third equation of motion;
[tex]\rm v^2=u^2+2g(h_2-h_1) \\\\ \rm v^2=0+2g(h_2-h_1) \\\\ v = \sqrt{2g(h_2-h_1)}\\\\ v = \sqrt{2 \times 9.81 \times (2-0.5)|}\\\\ v =\sqrt{2 \times 9.81 \times 1.5 } \\\\ v = 5.5 \ m/sec[/tex]
Hence, the velocity of the ball going when it reaches the base of the hill will be 5.5 m/sec.
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What is the resultant of the two vectors shown?
Explanation:
The correct is (c). cuz, the tail of A and the tip of B will join
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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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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Analyze the relationship between total internal reflection and the critical angle.
Answer:
5.15 when the angle of incidence is equal to critical angle the angle of reflection is equal to 90 if the angle of incidence is bigger than the critical anger the reflected ray will not emerge from the medium but will be reflected back into the medium this is called total internet reflection
Explanation:
hope it's helpful
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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My predicted height was lower than the final height i measured. this is because friction slowed the puck as it was sliding along the track. do you agree or disagree with khadija
I disagree since friction will cause the ultimate height to be lower than what was anticipated. To reduce the height, resist the action.
What is the height?
The vertical distance between an object's top and the bottom is defined as its height.
It is measured in centimeters, inches, meters, and other units. The height of the cliff is obtained by the Newton equation of motion.
My actual height was less than what I had anticipated. this is because the puck's movement along the track was impeded by friction.
To the Khalida, I object. Disagree, since friction will cause the ultimate height to be lower than the anticipated height. To reduce the height, resist the action.
Hence, I disagree with Khalida.
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how many wavelengths are represented
Answer:
two wavelength are present
as wavelength is counted either from crest to crest or trough to trough and there are only 2
When in contact with hydrochloric acid, which mineral gives off bubbles of carbon dioxide gas?.
Answer:
calcite
Explanation:
two conducting spheres
Answer:
[tex]\fbox {F: +3C, G: +3C}[/tex]
Explanation:
When two conducting spheres come in contact, their charges will become the mean of their charges. This takes place by the transfer of charges from the greater charged sphere to the lesser charged one.
Then :
⇒ F + G / 2
⇒ -14 + 20 / 2
⇒ 6/2
⇒ 3C
∴ Hence, both sphere F and sphere G will have a charge of +3 C.
Average speed equals distance divided by time. on a journey to the
alpha centauri star system, a space probe travels a distance of
meters in 1.73x10 10 seconds. (a) find its average speed in
meters per second. (b) how long did the journey take in years? use
365.24 days per year.
4.12x1016
2e-12%
The average speed will be 2.38×10⁶ m/sec.The average speed of an object indicates the pace at which it will traverse a distance. The metric unit of speed is the meter per second.
What is the average speed?The total distance traveled by an object divided by the total time taken is the average speed.
The speed calculated at any particular instant of time is known as the instantaneous speed.
Given data;
Distance travelled = 4.12x10¹⁶ meter
Time period= 1.73x10¹⁰ sec
The average speed is found as
[tex]\rm V_{avg}= \frac{d}{t} \\\\\ \rm V_{avg}= \frac{4.12 \times 10^{16}}{1.73 \times 10^{10} } \\\\\ V_{avg}=2.38 \times 10^6 \ m/sec[/tex]
Hence, the average speed will be 2.38×10⁶ m/sec.
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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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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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Select the appropriate shape for the given volume form
V = πr²h
V = πr³
V = lwh
V== πr²h
A firework with a mass of 1.5 kg shoots up into the air with a velocity of 25 m/s. It then explodes. Use this information to work out the total momentum of all the pieces after the firework explodes
Answer:
37.5 kg⋅m/s
Explanation:
p = mv
p = (1.5)(25) = 37.5 kg⋅m/s
Momentum is conserved in all collisions and explosions!
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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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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Siobhan wants to measure the mass of the bag of flour.what should she do?
Answer:
Weight it in beam balance or any other weight mesuring device
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
A car accelerates from a standstill to 60 km/hr in 10.0 seconds. What is its acceleration?
The acceleration of the car is 1.66 m per sec square.
How to calculate acceleration?The rate at which an item changes its velocity is known as acceleration, a vector quantity. If an object's velocity is changing, it is accelerating.
Initial velocity=0
Final velocity= 60km/hr
To convert it into m/sec
1 km=1000 m
1 hr=3600 sec
So= (60×1000)÷3600=16.66 m/sec
time=10 sec
We know that acceleration is the rate of change of velocity per unit of time.
acceleration=(final velocity-initial velocity)÷ time taken
= (16.66-0)÷10
= 1.66 m per sec square
So, Acceleration will be, 1.66 m per sec square
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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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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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