Answers
The ball reaches a height of 9.57 meters against gravity.
The acceleration an object experiences as a result of gravitational force is known as acceleration due to gravity. M/s2 is its SI unit. Its vector nature—which includes both magnitude and direction—makes it a quantity. The unit g stands for gravitational acceleration. At sea level, the standard value of g on the earth's surface is 9.8 m/s2.
A body is drawn toward the center of the earth by the force of gravity. Let's have a look at two bodies with masses ma and mb. When two bodies are subjected to equal forces, the force in terms of mass is given by:
The inertial mass of a body is defined as mb = ma [aA/aB].
In response to the gravitational pull of two bodies,
FA = GMmA/r2,
FB = GMmB/r2,
mB = [FB/FA] × mA
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Related Questions
2. What does the term Brownian motion mean?
Answers
Answer:
The term Brownian motion is the random movement of particles in a liquid repeatedly collapsing with other molecules.
Explanation:
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In an experiment, measurement of a ball moving at constant velocity finds that it traveled (3.2 ± 0.2) m during a time interval of (7.4 ± 0.8) s. What is the speed of the ball (best estimate and uncertainty) in proper form? Give vbest in the first blank and δv in the second. Avoid the use of scientific notation; it will not be necessary in this case as there will be one non-zero digit directly before or after the decimal.
Answers
(0.43 ± 0.08)m/s is the speed of the ball.
Velocity is the pace and direction of an object's movement, whereas speed is the time rate at which an object is traveling along a path. Speed can be thought of as the rate at which an object travels a distance, and it is a scalar quantity that denotes "how rapidly an object is traveling."
A fast-moving object travels at a high speed and completes a significant distance in a brief period of time. This is in contrast to an object traveling slowly, which travels a relatively short distance in the same length of time. Zero speed refers to an object that is not moving at all.
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A baseball is popped straight up with an initial speed of 25.9 meters per second. What is the ball's velocity after it has traveled a total distance of 50.0 meters? Include units in your answer.
Answers
The ball's velocity after it has travelled a total distance of 50.0 meters is 40.63 m/s
Data obtained from the questionThe following data were obtained from the question:
Initial velocity (u) = 25.9 m/sAcceleration due to gravity (g) = 9.8 m/s²Height (h) = 50 mFinal velocity (v) = ?How to determine the final velocityWe can obtain the final velocity as illustrated below:
v² = u² + 2gh
v² = 25.9² + (2 × 9.8 × 50)
v² = 670.81 + 980
v² = 1650.81
Take the square root of both sides
v = √1650.81
v = 40.63 m/s
Thus, the velocity after travelling 50 m is 40.63 m/s
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A ship sets sail with an initial velocity of 20 m/s and a constant
acceleration of 5 m/s2. What's the ship's velocity after a half
minute (in m/s)?
Answers
The ship's velocity after a half minute (in m/s) is 170 m/s
What is acceleration?This is defined as the rate of change of velocity which time. It is expressed as
a = (v – u) / t
Where
a is the acceleration v is the final velocity u is the initial velocity t is the time How to determine the velocity after half minuteInitial velocity (u) = 20 m/sTime (t) = 1/2 minute = 0.5 minute = 0.5 × 60 = 30 sAcceleration (a) = 5 m/s² Final velocity (v) = ?The final velocity can be obtained as illustrated below:
5 = (v – 20) / 30
Cross multiply
v – 20 = 5 × 30
v – 20 = 150
Collect like terms
v = 150 + 20
v = 170 m/s
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2. 100 grams of oil (specific heat capacity 2200 J/kg °C) heated to 80°C are added
to 200 grams of water (specific heat capacity 4200 J/kg °C) at 20°C. Find the
resulting temperature. Assume heat loss to the surroundings is negligible.
Answers
100 grams of oil-heated to 80°C are added to 200 grams of water at 20°C. Then the resulting temperature would be 55.48°C.
What is thermal energy?It can be defined as the form of the energy in which heat is transferred from one body to another body due to their molecular movements, thermal energy is also known as heat energy.
As given in the problem 100 grams of oil (specific heat capacity 2200 J/kg °C) heated to 80°C is added to 200 grams of water (specific heat capacity 4200 J/kg °C) at 20°C
mCΔT for oil =mCΔT for water
100×2200×(80-T) = 200× 4200×(T-20)
1760-22T = 84 T -1680
62T = 1760+1680
T = 55.48°C
Thus, the resulting temperature of the mixture would be 55.48°C.
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what is the total moved without regard to direction
Answers
The entire motion of an object, regardless of direction.
In physics, motion is that the phenomenon in which an object changes its position with respect to time. Motion is mathematically described in terms of displacement, distance, velocity, acceleration, speed, and frame of regard to an observer and measuring the change in position of the body relative to that frame with change in time. The branch of physics describing the motion of objects without regard to their cause is called kinematics, while the branch studying forces and their effect on motion are named dynamics.
If an object isn't changing relative to a given frame of reference, the thing is said to be at rest, motionless, immobile, stationary, or to possess a constant or time-invariant position with reference to its surroundings. Modern physics holds that, as there's no absolute frame of reference, Newton's concept of absolute motion can't be determined
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Question 11 (2 points)
Observe the diagram below. A person starts at A, walks along the bold path and finishes at B. Each square
is 1 km along its edge. Use the diagram in answering the next two questions.
Answers
This person walks a distance of ____31____ km.
This person has a displacement of ____3____km.
Since we can see in the figure, it is also stated in the question that each square has a 1km boundary. A bold line runs across 31 edges from A to B.
As a result, the total distance traveled from A to B is 31 kilometers.
Because displacement is the distance between the original and final positions. The displacement in the diagram is 3km. As there is a three-block discrepancy between the beginning and end positions.
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If Sandy moves rightward 10 meters, what is true about her displacement?
Her displacement is zero.
O Her displacement is positive.
Her displacement negative.
Answers
d) A Body of mass 12.0 kg is placed on an orange tree 20.0 metres above the ground.
i. Calculate its potential energy with respect to the ground.
ii. If the body is released from this height, what will be its kinetic energy just before it hits the ground.
[Take g = 10 ms2]
Answers
Answer:
here's the answer
Explanation:
given:
h= 20.0m
M= 12.0kg
g=10m/s²
solution:
potential energy = mgh = (12.0kg)(10m/s²)(20.0m)
= 2400
potential energy = 2400J
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You are conducting an experiment inside a train car that may move along level rail tracks. A load is hung from the ceiling on a string. The load is not swinging, and the string is observed to make a constant angle of 10∘ with the vertical. No forces are acting on the load. Which of the following statements are correct?
Select all 3 that apply.
a. The train is an inertial frame of reference
b. The train is not an inertial frame of reference
c. The train may be instantaneously at rest
d. The train may be moving at a constant speed in a straight line
e. The train may be moving at a constant speed in a circle
f. The train must be speeding up
Answers
The train is not an inertial frame of reference, and the train may be moving at a constant speed in a straight line or the train may be instantaneously at rest.
What is uniform speed and Acceleration?The pace at which an object's position changes about relation to a frame of reference and time is known as its velocity.
Uniform velocity is the state in which a body travels the same distance in the same amount of time. When the amplitude and direction of a body's average velocity (v) over time (t) do not change over time, the body is said to be moving at a uniform velocity. An illustration of uniform motion is the moon's orbit around the earth.
As the rate of change of velocity, acceleration is an illustration of a vector quantity.
When an item is moving in a straight path with an increase in velocity occurring at regular intervals of time, it is said to be experiencing uniform acceleration. The uniform acceleration of an object during free fall is one example.
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A body of mass 20g performs simple harmonic motion at a frequency of 10Hz. Its position is 10cm from the mean position, calculate its velocity
Answers
D=distance in cm
V=20 X 10 X 10
V=2000hz/cm
An atom is most balanced when it has an equal number of protons and electrons. True False
Answers
Answer: It is true.
Explanation: In all atoms, the number of electrons and protons is always equal. This preserves the atom's electrical neutrality by balancing positive and negative charges. If the amount of electrons and protons in an atom is not equal, the atom will have a net positive or negative charge, forming a cation or an anion.
An 80% furnace's discharge air temperature is 125 degrees F and is adding heat to a space at the rate of 80,000 BTU's an hour. What is the input rating of the furnace?
a. 60,000 Btu's
b. 120,000 Btu's
c. 75,000 Btu's
d. 100,000 Btu’s
Answers
D. The input rating of the furnace is determined as 100,000 BTU.
What is input rating?Input power rating means the power, expressed in Watts or one of its multiples, for which the energy storage unit has been designed to operate at nominal conditions.
eff = (output rating / input rating) x 100%
80/100 = 80,000 BTU / input rating
0.8 = 80,000 BTU / input rating
input rating = 80,000 BTU/0.8
input rating = 100,000 BTU
Thus, the input rating of the furnace is determined as 100,000 BTU.
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What is the purpose of the Unified Standard?
a. It creates one size of universal thread among all fasteners.
b. It makes it possible to translate fastener names from one language to another.
Oc. It makes it possible to interchange fasteners from one country to another.
d. All of the above are true
Answers
The purpose of the Unified Thread Standard is to create one size of universal thread among all fasteners.
The Unified Thread Standard describes standard thread forms and sizes along with allowances, tolerances and designations. It is common in United states and Canada until 1949. Then it became incompatible with the newer standards so that it became obsolete from then.
It is a standard used for a wide variety of fasteners. The profile in this standard is 60°. 1 / 8 th of the outer side is cut off and 1 / 4 th of the inner side is cut off.
Therefore, the purpose of the Unified Thread Standard is to create one size of universal thread among all fasteners ( a ).
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True or False—The vector for a negative acceleration points in the opposite direction when compared to the vector for a positive acceleration.
Answers
Answer:
True
Explanation:
Opposites point in opposite directions
Which set of labels should be used to correctly complete the atomic model below?
a.
1 - Electron
2 - Nucleus
3 - Neutron
4 - Proton
b.
1 - Proton
2 - Electron
3 - Neutron
4 - Nucleus
c.
1 - Neutron
2 - Proton
3 - Nucleus
4 - Electron
d.
1 - Proton
2 - Neutron
3 - Electron
4 - Nucleus
Answers
Answer:
d. 1-proton 2-nuetron 3-electron 4-nucleus
A 190 g block hangs from a spring with spring constant 9.0 N/m. At t=0s the block is 29 cm below the equilibrium point and moving upward with a speed of 116 cm/s.
What is the block's oscillation frequency?
What is the block's distance from equilibrium when the speed is 57 cm/s ?
What is the block's distance from equilibrium at t = 7.0 s ?
Answers
The block's oscillation frequency is 1.1 Hz.
The block's distance from equilibrium when the speed is 57 cm/s is 14.2 cm.
The block's distance from equilibrium at t = 7.0 s is 10.37 cm.
Oscillation frequency of the block
The oscillation frequency of the block is calculated as follows;
f = 1/2π√(k/m)
f = 1/2π √(9/0.19)
f = 1.1 Hz
Angular speed of the blockω = 2πf
ω = 2π x 1.1
ω = 6.91 rad/s
Equation of the block's motionx(t) = A cos(ωt + Φ)
at t = 0, phase constant is calculated asωX sin(Ф) = v
6.91 x 29 sin(Ф) = 116
sin(Ф) = 116/200.39
sin(Ф) = 0.579
Ф = arc sin(0.579)
Ф = 0.62 rad
Amplitude of the wave29 = A cos(6.91 x 0 + 0.62)
29 = A cos(0.62)
29 = A(0.814)
A = 35.63 cm
Distance of the block at given speedwhen the speed is 57 cm/s, the distance of the block is calculated as follows;
ωX sin(Ф) = v
(6.91)X sin(0.62) = 57
X(4.015) = 57
X = 57/4.015
X = 14.2 cm
Distance of the block at given timex(t) = A cos(ωt + Φ)
x(7) = 35.63 cos(6.91 x 7 + 0.62)
x(7) = 10.37 cm
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The outline of a partial periodic table is shown below.
You are making observations of an unknown metal. In which section of the periodic table should the unknown metal be located? a. Section 1 b. Section 2 c. Section 3 d. Section 4
Answers
Answer:
section 2
Explanation:
section 2 contains Alkali, Alkaline, Transition, and Post-transition metals
5. You are concentrating on an exam, deciding between two answers that could possibility be right
for one of the questions. What part of the brain is activated during this task?
a. Temporal lobe
b. Occipital lobe
C.
Parietal lobe
d. Prefrontal cortex
Answers
Answer: D. prefrontal cortex
Explanation: The Prefrontal Cortex (PFC) and hippocampus are the most critical parts of the human brain for decision making
Why does a mirror or glass polished by dry cloth on a dry day soon gets dirty
Answers
As per the given question;
On a dry day, a mirror or window polished with a dry cloth quickly develops dust. Dry cloth friction on glass produces charged static electricity, which attracts microscopic non-charged dust particles.
What is static electricity?Static electricity can cause problems or even pose a risk. Your hair standing on end energy can also destroy electronics and cause explosions. However, it can also be a huge asset to modern life when properly managed and manipulated.
When the positive and negative charges are out of balance, static electricity is produced. While electrons like to jump all over the place, protons and neutrons don't move around that much. A negative charge is present when an object (or person) has extra electrons.
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would anyone be able to help me? I'm struggling with the last 2 parts
Answers
The time taken for the train to stop is 8.9 seconds.
The distance traveled by the train during acceleration is 9,984 m.
The distance traveled by the train during deceleration is 17.8 m.
Time taken for the train to stop
Use the following kinematic equation to determine the time taken for the train to stop.
v = u + at
where;
v is the final velocity of the train = 0u is the initial velocity = 4 m/sa is the deceleration = -0.45 m/s²t is time of motion0 = 4 - 0.45t
0.45t = 4
t = 4/0.45
t = 8.89 seconds = 8.9 seconds
Distance traveled by the train during accelerations = ut + ¹/₂at²
where;
t is time of motion = 8 min = 480 secondss = (4)(480) + ¹/₂(0.07)(480)²
s = 9,984 m
Distance traveled by the train during decelerations = ut + ¹/₂at²
s = (4 x 8.9) + ¹/₂(-0.45)(8.9)²
s = (4 x 8.9) - ¹/₂(0.45)(8.9)²
s = 17.8 m
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A force of 20 N gives an object an acceleration of 5 m/s^2.
A)What force would be needed to give the same object an acceleration of 1 m/s^2
B) what force would be needed to give it an acceleration of 10 m/s^2
Answers
The question can be solved using the principle of Newton's second law of Motion. Newton's second law of motion is often stated as F=ma, which means the force acting on an object is equal to the mass (m) of an object times its acceleration.
F=ma
According to the given data,
Force of 20N is applied to the object
acceleration of 5 m/s^2 is obtained on the object
From Newton's second law of motion,
F=ma
20N =m x 5
m=4kg
To obtain an acceleration of 1 m/s^2, the force required will be
F= ma
F= 4 X 1 = 4 N
To obtain an acceleration of 10 m/s^2, the force required will be
F=ma
F= 4 x 10
= 40 N
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While John is traveling along a straight interstate highway, he notices that the mile marker reads 252km. John travels until he reaches the 145km marker and then retraces his path to the 177km marker. What is John's resultant displacement from the 252km marker? Answer in units of km.
Answers
John's resultant displacement from the 252km marker when traveling along a straight interstate highway is 75 km
Δx = [tex]x_{2}[/tex] - [tex]x_{1}[/tex]
Δx = Displacement
[tex]x_{2}[/tex] = Final position
[tex]x_{1}[/tex] = Initial position
[tex]x_{2}[/tex] = 177 km
[tex]x_{1}[/tex] = 252 km
Δx = 177 - 252
Δx = - 75 km
Displacement is the shortest distance between initial and final positions. It is denoted using Δx. Since, it is a measure of length, its unit is usually meter.
Therefore, John's resultant displacement from the 252km marker when traveling along a straight interstate highway is -75 km
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The driver of a car slams on the brakes, causing the car to slow down at a rate of 17.0ft/s2 as the car skids 172ft to a stop
How long does the car take to stop?
What was the car's initial speed?
Answers
The time taken for the car to stop is 4.5 seconds and the initial speed of the car is 76.47 ft/s.
Initial speed of the carThe initial speed of the car is calculated as follows;
v² = u² + 2as
where;
v is the final velocity, when the car stops, v = 0u is the initial velocitya is the accelerations is the distance traveled0 = u² + 2as
0 = u² + 2(-17)(172)
0 = u² - 5858
u² = 5848
u = 76.47 ft/s
Time of motion of the carv = u + at
0 = 76.47 - 17t
17t = 76.47
t = 4.5 seconds
Thus, the time taken for the car to stop is 4.5 seconds and the initial speed of the car is 76.47 ft/s.
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Which of the following branches studies the particles moving at any speed,
including very high speeds.
A. Optics
B. Thermodynamics
C. Astrophysics and Cosmology
D. Relativity
Answers
The correct answer is option D. That is, the branch of Physics that study the particles movement at any speed, including very high speeds is Relativity
Difference between Kinematic and Dynamics
Kinematic is a branch of Physics that deal with a study of particle's motion without considering the cause of the motion. While dynamics deals with the motion of a particle as well as the causes of the motion.
The branch of Physics that study the particles movement at any speed,
including very high speeds is Relativity.
We have relativity of mass, relativity of time and relativity of length. All deal with the speed of light which is the fastest speed on earth as of now.
Therefore, the correct answer is option D. That is, the branch of Physics that study the particles movement at any speed, including very high speeds is Relativity.
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Q1]. An electric field has a magnitude of 400 N/C and makes an angle
60
o
with the perpendicular to the surface of a flat surface of dimensions 30 cm by 20 cm. Calculate the electric flux through the surface.
Q2. Two large horizontal, parallel metal plates are 2.0 cm apart in air and the upper plate is maintained at a positive potential relative to the lower plate so that field strength between them is
2.5x10^5 vm^1.
An electron is released from rest at the lower plate. What is its speed on reaching the upper plate? [e=1.6x10^19 ;me=9.1x10^31kg].
Answers
Answer:
An electric field has a magnitude of 400 N/C and makes an angle
60
o
with the perpendicular to the surface of a flat surface of dimensions 30 cm by 20 cm. Calculate the electric flux through the surface.
Explanation:
order the list to describe the balls morion as it drops into the spring
Answers
The list in order that best describes the ball's motion as it drops into the spring is e, b, d, a, f and c.
The order is as follows:
e) The ball is dropped from rest and then negatively accelerates due to gravityb) The push from the spring exceeds the force of gravity. The ball momentarily comes to rest.d) Acceleration of the ball changes from negative to positive due to an upward push from the spring.a) The acceleration of the ball decreases as the spring extendsf) The ball leaves the spring with a large positive velocity. The acceleration is negative due to gravity.c) The velocity decreases due to negative gravitational acceleration.Option (e) come first because it the starting point. (b) comes next as the ball comes to rest as the spring is fully compressed. (d) comes next as the ball started its upward movement. (a) comes next as the spring is extending. (f) comes next as the ball has completely left the spring. (c) comes next as it indicates the balls movement after leaving the spring.+
Therefore, e, b, d, a, f and c is the correct order of explanation of the ball's movement.
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We have 3 gears meshed with the following teeth. A – 20; B – 50; C – 30. Another set of gears have the following teeth. X – 20; Y – 25; Z – 30. Assuming gears A and X are running at the same rpm. Which statement is correct?
Answers
gear C and Z will run at the same RPM
RPM is not a unit, according to the International System of Units (SI). The word "revolution" is a semantic annotation rather than a unit, which explains this. RPM formula sign must be f for (rotational) frequency and or for angular velocity due to the measured physical quantity. s−1 or Hz is the basic SI-derived unit that corresponds. The radians per the second unit are used to express angular speed.
As a result, a disc rotating at 60 RPM is considered to be rotating at either 2 rad/s or 1 Hz, where the former refers to angular velocity and the latter to the rate of revolutions per second.
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Fan B has an efficiency of 55% and usefully transfers 10J of energy to its kinetic energy store each second. Calculate how much energy is supplied to fan B per second
Answers
Fan B has an efficiency of 55% and usefully transfers 10J of energy to its kinetic energy store each second. 18.18 J of energy is supplied to fan B per second.
What definition of effectiveness is the best?Efficiency is the capacity to do a task with little or no wastage, effort, or energy. Being effective is maximizing the use of the resources at your disposal to achieve your objectives. Simply put, something is efficient if there is no waste and every process is optimized.
To calculate the input energy use the following formula
Efficiency = Energy(out) / Energy(in) * 100%
Efficiency = 55%
Energy(out) = 10J
Energy(in) = ?
On putting the given values we get,
55 = Energy(in) / 10 * 100%
On solving we get,
Energy(in) = 18.18J
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Which process is a change from gas to liquid?
OA. Freezing
B. Melting
OC. Vaporization
OD. Condensation
Answers
Answer:
Condensation
Explanation:
When water vapour (gas) is cooled it undergoes CONDENSATION to form water(liquid).