Potential energy (PE) = m g h
Where:
m = mass = 425 kg
g = gravity = 9.8 m/s2
h = height
PE = 72250J
Replacing:
72250 J = 425 kg * 9.8 m/s^2 * h
Solve for H
72250 J/ (425 kg * 9.8 m/s^2) = h
h = 17.35 m
WHAT IS THE MEAING OF- Grouping Data
Grouping data refers to the process of categorizing or organizing data based on specific criteria or attributes.
It involves grouping similar data points together to gain a better understanding of patterns, relationships, and trends within the dataset. By grouping data, you can simplify complex information and derive meaningful insights from large amounts of data. The purpose of grouping data is to create subsets or clusters that share common characteristics.
This enables easier analysis, summarization, and comparison of data within each group. Grouping can be performed on various types of data, such as numerical, categorical, or time-based data. Grouping data allows for the exploration of data at different levels of granularity.
For example, you can group sales data by region to analyze regional performance, or group customer data by demographics to identify specific customer segments. This process helps in identifying outliers, detecting patterns, and making data-driven decisions.
Common techniques for grouping data include using functions like GROUP BY in SQL or utilizing data visualization tools to create charts or graphs that illustrate the grouped data. Grouping can be applied in various fields, such as marketing, finance, healthcare, and research, to uncover insights and support decision-making processes.
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passengers on an airplane move from rest to 73 meters per second before the airplane takes off. if the airplane takes 100 seconds to take off what is the acceleration, in m/s^2, of the airplane? show your answer to one decimal point.
Answer:
0.73m/s2
Explanation:
The speed at which the passengers move is the final speed of the plane
Hence acceleration = V-U/t; change in velocity and t is time taken. U is the initial velocity which is 0m/s
a = 73-0/100= 0.73m/s2
A mechanical lift is used to pull an engine out of a car. The engine is attached
to the lift with chains and lifted straight up. The free-body diagram below
shows the engine when it is suspended in the air.
Force 1
Force 2
What is force 2 in this diagram?
O A. Weight
B. Tension
C. Normal force
D. Friction
Answer:
the answer is weight
Explanation:
Answer:
Weight
Explanation: Just took the quiz
Jane (m=50kg) wants to save Tarzan (m= 80kg) who is standing in the middle of a ring of fire of 5.0 m diameter. Jane has a vine (conveniently attached to a branch right above Tarzan, at a height of 33 m above the ground. Jane holds onto the vine and climbs a tree, growing 16 m away from Tarzan, until she reaches a height of 5.3 m above the ground. She swings down and grabs Tarzan around his waist (1.0m above ground). If they let go of the vine when they reach their highest point, where will they land, relative to Tarzan's original position?
The height that will illustrate the distance will be d = 6.36m
How to calculate the height?Based on the information given, the length of the vine will be:
L = ✓(16² + 27.7)²
L = 32m
The velocity of Jane when she reaches position B will be:
V = ✓2gh
V = ✓(2 × 9.8 × 4.3)
V = 9.18m/s
We will apply the conversation of momentum. This will be:
50 × 9.18 = (50 + 80)V1
V1 = 3.53m/s
Therefore, the height that will illustrate the distance will be:
31.36² + d² = 32²
d² = 32² - 31.36²
d = 6.36m
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there are three basic rules of electric charge
The three basic rules for the electric charge are like charges repel each other, unlike charges attract each other and the charges in the system are constant. The unit of charge is coulomb (C).
Electric charge is of two types and they are positive and negative charges. The negative charge is free electrons and the positive charges are the holes in the conductors. The basic rules are, two positive charges repel each other and two negative charges repel each other and they are called like charges.
One positive and one negative charge attract each other and hence they are unlike charges. The attractional force and repulsion force increase with a decrease in the distance of separation. The charges remain constant in the system and it is called as law of conservation of charges in the system.
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gravitational potential is the energy due to an object's:
a. motion
b. spring stretch or compression
c. position in a gravity field
d. chemical bonds.
position in a gravitation field (c)
Answer:
The answer is C. position in a gravity field
What is the wave where the oscillation is perpendicular to the direction
of motion.
What is the period of a wave that has a frequency of 3 Hz?
A. 30 s
B. 0.3 s
C. 300 S
D. 3 S
Answer:
B.) 0.3s
Explanation:
The period of a wave that has a frequency of 3 Hz is 0.3s. Hence option B is correct.
What is wave ?Wave is is a disturbance in a medium that carries energy as well as momentum . wave is characterized by amplitude, wavelength and phase. Amplitude is the greatest distance that the particles are vibrating. especially a sound or radio wave, moves up and down. Amplitude is a measure of loudness of a sound wave. More amplitude means more loud is the sound wave.
Wavelength is the distance between two points on the wave which are in same phase. Phase is the position of a wave at a point at time t on a waveform.
There are two types of the wave longitudinal wave and transverse wave.
Longitudinal wave : in which, vibration of the medium (particle) is parallel to propagation of the wave. Sound wave is a longitudinal wave. Transverse wave : in which, vibration of the medium (particle) is perpendicular to propagation of the wave. Light wave is a transverse wave.
Time period of the wave is inverse to the frequency of the wave.
T = 1/f
T = 1/3
T = 0.333 s
Hence option B is correct.
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What is the smallest value of n for which the wavelength of a Balmer series line is less than 400 nm
Answer:
The smallest value is n= 2
Explanation:
The balmer equation is given below
1/λ = R(1/4 - 1/n₂²).
R= 1.0973731568508 × 10^7 m^-1
λ= 400*10^-9 m
(400*10^-9)= 1.0973731568508 × 10^7 (1/4-1/n²)
(400*10^-9)/1.0973731568508 × 10^7
= 1/4 - 1/n²
364.51 *10^-16= 1/4 - 1/n²
1/n²= 1/4 -364.51 *10^-16
1/n² = 0.25-3.6451*10^-14
1/0.25= n²
4= n²
√4= n
2= n
The smallest value is N= 2
Dalton’s theory states about a molecule of water?
According to Dalton,
Water molecules are made of two different kinds of atoms, which are considered hydrogen and Oxygen
Water molecules have twice as many hydrogen atoms as Oxygen atoms
Water molecules have one oxygen atom for every two hydrogen atom
What type of force is jumping a trampoline?
Answer:
Tension
Explanation:
define projectile in your own .
Answer:
a body which was thrown in space ,moves under the influence of gravity only is defined as projectile.
Answer:
projectile is defined as a body thrown in space , moves under the influence of gravity .hope it is you
You launch a model rocket from ground level. It moves directly upward with a constant acceleration of 71.0 m/s2 for 1.45 seconds, at which point it runs out of fuel. Assuming air resistance on the rocket is negligible, what is the maximum altitude (above the ground) achieved by the rocket?
m
Answer:
74.0 meters
Explanation:
We can use the kinematic equation for displacement with constant acceleration to solve this problem:
Δy = v0t + 1/2at^2
where Δy is the displacement (i.e., the change in height), v0 is the initial velocity (which is 0), a is the constant acceleration, and t is the time taken.
Plugging in the given values, we get:
Δy = 0 + 1/2(71.0 m/s^2)(1.45 s)^2
Δy = 74.0 m
Therefore, the maximum altitude achieved by the rocket is 74.0 meters above the ground.
Ohm's law relates the current, voltage, and resistance in a circuit. Use Ohm's law to determine what will happen to the remaining variable if one is held constant and another is changed. Assume that, originally, the resistance is R0, the current is ????0, and the voltage is V0. If the original voltage is held constant but the current is doubled, how does the new resistance compare to the original resistance?
Answer:
R = ½ R₀
Explanation:
This is an exercise in Ohm's law,
V = IR
in the initial case
V₀ = I₀ R₀ (1)
indicates that the voltage remains constant and the current is doubled
I = 2 I₀
V₀ = I R
we substitute
V₀ = 2 I₀ R
R = ½ V₀ / I₀
we replace by equation 1
R = ½ R₀
How far does a person travel in coming to a complete stop in 38 ms at a constant acceleration of 60 g ?
The distance traveled by the person to come to a complete stop in 38 ms at a constant acceleration of 60 g is approximately 273.42 meters.
The distance that a person covers to come to a complete stop in 38 ms at a constant acceleration of 60 g can be calculated using the kinematic equation.
The formula is given by, d = (v^2 - u^2) / 2a, where d is the distance traveled, v is the final velocity, u is the initial velocity, and a is the acceleration given in g units.
To solve the problem, we need to first convert the acceleration given in g units to meters per second squared (m/s²). We know that 1 g is equivalent to 9.8 m/s².
Hence, 60 g is equivalent to 60 × 9.8 m/s² = 588 m/s².
Substituting the values in the above formula, we get,d = (0 - u^2) / 2a= u^2 / 2a, since the final velocity is 0 when the person comes to a complete stop= u^2 / 2 × 588= u^2 / 1176 m
The time taken, t = 38 ms = 0.038 s.
Now, we know that acceleration, a = (v - u) / t.
We can rearrange the above equation to find the final velocity, v. We get,v = u + at
Substituting the values, we get,588 = u + (588 × 0.038)u = 588 - (588 × 0.038)u = 567.816 m/s
Using the value of u, we can now find the distance traveled using the kinematic equation as, d = u^2 / 1176= (567.816)^2 / 1176≈ 273.42 m.
Therefore, the distance traveled by the person to come to a complete stop in 38 ms at a constant acceleration of 60 g is approximately 273.42 meters.
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Mars had an orbital period of 1.88 years. In two or more complete sentences,explain how to calculate the average distance from mars to the sun, then calculate it
The average distance from mars to the sun if Mars had an orbital period of 1.88 years is 2.27 * \(10^{8}\) km
P² = a³
P = Orbital period
a = Average distance
P = 1.88 years
a³ = 1.88²
a³ = 3.53
a = 1.52 AU
a = 1.52 * 1.496 * \(10^{8}\) km
a = 2.27 * \(10^{8}\) km
The formula used to solve the given problem is derived from Kepler's third law of planetary motion. AU is the abbreviated from of Astronomical unit. 1 AU = 1.496 * \(10^{8}\) km
Therefore, the average distance from mars to the sun is 2.27 * \(10^{8}\) km
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A 24.4kg dog is running northward at 2.14m/s, while a 5.53kg cat is running eastward at 3.56m/s. Their 78.5kg owner has the same momentum as the two pets taken together. Find the direction of the owner's velocity. Find the magnitude of the owner's velocity.
The owner's velocity is in the opposite direction of the combined velocity of the dog and the cat, and its magnitude is approximately 0.916 m/s.
To solve the given problem, we can use the principle of conservation of momentum to find the direction and magnitude of the owner's velocity.
Let's denote the velocity of the dog as v1 (northward), the velocity of the cat as v2 (eastward), and the velocity of the owner as v (unknown).
According to the conservation of momentum, the total momentum before the interaction is equal to the total momentum after the interaction.
The total momentum before the interaction is given by:
Total momentum before = (mass of the dog * velocity of the dog) + (mass of the cat * velocity of the cat) + (mass of the owner * velocity of the owner)
Mass of the dog (m1) = 24.4 kg
Velocity of the dog (v1) = 2.14 m/s
Mass of the cat (m2) = 5.53 kg
Velocity of the cat (v2) = 3.56 m/s
Mass of the owner (m3) = 78.5 kg
Velocity of the owner (v) = unknown
Total momentum before = (24.4 kg * 2.14 m/s) + (5.53 kg * 3.56 m/s) + (78.5 kg * v)
The total momentum after the interaction is zero since the owner has the same momentum as the pets taken together.
Total momentum after = 0
Equating the two expressions:
(24.4 kg * 2.14 m/s) + (5.53 kg * 3.56 m/s) + (78.5 kg * v) = 0
Simplifying the equation:
(52.216 kg·m/s) + (19.6488 kg·m/s) + (78.5 kg * v) = 0
71.8648 kg·m/s + (78.5 kg * v) = 0
Solving for v:
78.5 kg * v = -71.8648 kg·m/s
v = -71.8648 kg·m/s / 78.5 kg
v ≈ -0.916 m/s
Therefore, the direction of the owner's velocity is opposite to the combined velocity of the dog and the cat, and the magnitude of the owner's velocity is approximately 0.916 m/s.
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The diagram shows the electric field lines due to two charged parallel metal plates. We conclude
that:
a.
an electron at X could have its weight balanced by the electrical force
b.
a proton at X experiences a greater force than if it were placed at Z
c.
the upper plate is positive and the lower plate is negative
d.
a proton at X experiences less force than if it were placed at Z
e.
a proton at X would experience the same force if it were placed at Y
Based on the given diagram, we can only reasonably conclude statement c, that the upper plate is positive and the lower plate is negative
What is Electric Field?
Electric field is a concept used in physics to describe the influence that an electric charge exerts on other charges in its vicinity. It is defined as the force experienced by a positive test charge placed in the vicinity of an electric charge, divided by the magnitude of the test charge
The upper plate is positive and the lower plate is negative: This statement is a common convention for charged parallel metal plates in a capacitor. The positive plate is usually considered as the plate with electric field lines originating from it (in this case, the upper plate), and the negative plate is usually considered as the plate with electric field lines terminating on it (in this case, the lower plate). So, this statement is likely to be true based on convention.
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A man pushes a 10-kg block 10 m, along a rough, horizontal
surface with a 40-N force directed 37° below the horizontal. If
the coefficient of kinetic friction is 0.2, calculate the total
work done on the block
Answer:
hope you can understand
The practice of science can answer only scientific questions. And scientific questions guide the design of investigations. What must be true of the possible answers to a scientific question?
A) they are at odds with established scientific theories
B) they support an established scientific theory
C) they could be shown to be false by evidence
D) they do not require the use of physical measurements
Answer:
answer is C
-they could be shown to be false by evidence
You are pushing your old dishwasher of mass 35.0 kg up the ramp into the truck bed. You are applying a force of 225 N along the ramp which is inclined at 22.0 degrees. There is a frictional force of 45.0 N between the ramp and the dishwasher. can you please help with b?
The acceleration of the dish washer is obtained as 5.1 m/s^2.
What is a free body diagram?A free body diagram is a type of image that physicists use to illustrate the forces operating on an item in a certain circumstance.
By dissecting the motion of the object into its component forces and displaying the direction and amount of each force acting on the object, the diagram may be used to study the motion of the object.
We know that;
Net force =Applied force - Frictional force
35a = 225 - 45
a = 225 - 45/35
a = 5.1 m/s^2
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A kid is standing on a merry-go-round 1.14 m from the center rotating at 2.38 rad/s. What is his linear velocity?
Answer:
\(\huge\boxed{\sf v = 2.7\ m/s}\)
Explanation:
Given data:Radius = r = 1.14 m
Angular velocity = ω = 2.38 rad/s
Required:Linear velocity = v = ?
Formula:v = rω
Solution:v = (1.14)(2.38)
v = 2.7 m/s\(\rule[225]{225}{2}\)
what happens at a transform boundary
Answer:
Answer is "two tectonic plates slide past eachother" ( for a pe x)
Explanation:
explain how wind erosion changes land forms
Answer:
the wind carries abrasive materials
Explanation:
such as sand and salt over time theses small particles slowly strip way at the land form sculpting it by eroding the softer layers first
Brianna pushes a 20 kg box with a force of 50N to achieve an acceleration of 2.5 m/s/s. In order to push a 30
kg box at the same acceleration, how much force will Brianna need to apply? She applies _ N of force.
Answer:
She applies 75N of force
Explanation:
F=ma
50=20(2.5)
F=30(2.5)
F=75 N
A 31.0 kW electric motor drives a vehicle at an average velocity of 9.20 m/s. Assuming a constant force is applied in the direction of the vehicles motion, what is the magnitude of the applied force?
The magnitude of the applied force is 3369.57 N.
What is Force?
Force can be defined as the product of mass and acceleration.
To calculate the magnitude of the applied force, we use the formula below.
Formula:
P = Fv................ Equation 1Where:
P = Power of the electric motorF = Applied forcev = Velocity
Make F the subject of the equation
F = P/v................. Equation 2
From the question.
Given:
P = 31 kW = 31000 Wv = 9.2 m/s
Substitute these values into equation 2
F = 31000/9.2F = 3369.57 N
Hence, the magnitude of the applied force is 3369.57 N.
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With an average acceleration of -0.50 m/s^2, how long will it take a cyclist to bring a bicycle with an initial speed of 13.5 m/s to a complete stop?
The time taken for the bicycle to come to a complete stop with an initial velocity of 13.5 m/s is 27 seconds.
What is time?Time can be defined as the calculable measure of motion with respect to before and afterness.
To calculate the time it takes the cyclist to bring the bicycle to complete stop, we use the formula below.
Formula:
t = (v-u)/a.......... Equation 1Where:
t = Timev = Final velocityu = Initial velocitya = AccelerationFrom the question,
Given:
v = 0 m/s (to stop)u = 13.5 m/sa = -0.5 m/s²Substitute these values into equation 1
t = (0-13.5)/-0.5t = -13.5/-0.5t = 27 seconds.Hence the time taken for the bicycle to stop completely is 27 seconds.
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Raju completes one round of a circular track of diameter 200m in 30s. Calculate
a. The distance travelled by Raju
b. The magnitude of displacement travelled by Raju at the end of 30 s.
Explanation:
Given:
Diameter = 200 m
Radius, r = 200/2 = 100 m
Time taken, t = 30 seconds
Formula to be used:
Distance traveled, = circumference of circle = 2πr
Answer:
Putting all the values, we get
Distance traveled = 2πr
Distance traveled = 2 × 22/7 × 100 Distance traveled = 4400/7 Distance traveled = 628.57 mSo, the distance traveled by Raju is 628.57 m.
Now, magnitude of the displacement,
At the end of 30 seconds, Raju will come to starting position or initial position, so displacement is zero.
determine the resultant force that water exerts on the overhang sea wall along abc. the wall is 2 m wide.
The resultant force that water exerts on the overhang sea wall along abc is 179 kN.
What is force?Force is a physical quantity that describes the interaction between two objects, such as a push or a pull. It is defined as any influence that causes an object to undergo a change in motion or deformation. Force is a vector quantity, meaning that it has both magnitude (size or strength) and direction.
Component that is horizontal. Because AB is horizontal, there is no horizontal component. The horizontal component of BC's force is.
(Fbc)h =γwhˉA=(1000kg/m3)(9.81m/s2)(1.5m+21(2m))(2m(2m))=98.1(103)N.
Component that is vertical. The weight of the water contained in blocks Abefa and Bcdeb (shown shaded in Fig. a) is equal to the force on AB and the vertical component of the force on BC. Here,
Aabefa=1.5m(2.5m)=3.75m2and
2Abcdeb=(3.5m)(2m)–4π(2m)2=(7–p)m2. Then,
Fab=γwVabefa=(1000kg/m3)(9.81m/s2)[(3.75m2)(2m)] =73.575(103)N=73.6N (FBC)v=γwVbcdeb=(1000kg/m3)(9.81m/s2)[(7–π)m2(2m)] =75.702(103)N
Therefore,
Fbc=(Fbc)²h2+(Fbc)²v2=√[98.1(10³)N]²+[75.702(10³)N]²=123.91(10³)N=124KN
FR² =(Fbc)²H2+[Fab+(Fbc)v]²
==[98.1(10³)N]² + [(73.6(10³)N)²+75.702(10³)N²]
=178.6(10³)N = 179 kN.
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At a carnival, you can try to ring a bell by striking a target with a 9.00-kg hammer. In response, a 0.400-kg metal piece is sent upward toward the bell, which is 5.00 m above. Suppose that 25.0% of the hammer's kinetic energy is used to do the work of sending the metal piece upward. How fast must the hammer be moving when it strikes the target so that the bell just barely rings?
The hammer must be moving at a speed of 12.0 m/s in order to just barely ring the bell.
Steps
When the hammer strikes the target, it transfers its kinetic energy to the metal piece, causing it to move upwards. This means that the kinetic energy of the hammer is converted into potential energy (PE) of the metal piece, given by:
PE = mgh
where m is the mass of the metal piece, g is the acceleration due to gravity, and h is the height of the bell above the metal piece. Substituting the given values, we get:
PE = (0.400 kg)(9.81 m/s²)(5.00 m) = 19.62 J
Since 25.0% of the hammer's kinetic energy is used to do this work, we can write:
0.25KE_hammer = PE
where KE_hammer is the kinetic energy of the hammer before the collision. Solving for KE_hammer, we get:
KE_hammer = 4PE = 4(19.62 J) = 78.48 J
Finally, we can use the formula for kinetic energy to find the velocity (v) of the hammer:
KE_hammer = (1/2)mv²
where m is the mass of the hammer. Rearranging and substituting the given values, we get:
v = sqrt(2KE_hammer/m) = sqrt(2(78.48 J)/(9.00 kg)) = 12.0 m/s
The hammer must be moving at a speed of 12.0 m/s in order to just barely ring the bell.
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