An object is dropped from the top of a building and hits the ground 3 seconds after it is released. what is the approximate speed of the object at the instant it hits the ground?
Answers
Once the object is dropped ,The only force acting on it is gravity.so acceleration due to gravity is 9.8 m/\(s^{2}\).
Given,
Initial velocity = u = 0
Time taken = t = 0
Acceleration = g = 9.8 m/\(s^{2}\)
Using \(3^{rd}\) equation of motion ,
v = u + at
v =( 0 )+ (9.8) *(3)
v = 29.4
v≈ 30 m/s
So, the speed of object is 30 m/s.
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Related Questions
Learning Goal: To understand that centripetal acceleration is the acceleration that causes motion in a circle. Acceleration is the time derivative of velocity. Because velocity is a vector, it can change in two ways: the length (magnitude) can change and/or the direction can change. The latter type of change has a special name, the centripetal acceleration. In this problem we consider a mass moving in a circle of radius R with angular velocity ω, r⃗ (t)=R[cos(ωt)i^+sin(ωt)j^] =Rcos(ωt)i^+Rsin(ωt)j^. The main point of the problem is to compute the acceleration using geometric arguments. (Figure 1) Part A What is the velocity of the mass at a time t? You can work this out geometrically with the help of the hints, or by differentiating the expression for r⃗ (t) given in the introduction. (Figure 2) Express this velocity in terms of R, ω, t, and the unit vectors i^ and j^. V⃗ (t) = Part Assume that the mass has been moving along its circular path for some time. You start timing its motion with a stopwatch when it crosses the positive x axis, an instant that corresponds to t=0. [Notice that when t=0, r⃗ (t=0)=Ri^. ] For the remainder of this problem, assume that the time t is measured from the moment you start timing the motion. Then the time − t refers to the moment a time t before you start your stopwatch. Part B What is the velocity of the mass at a time − t? Express this velocity in terms of R, ω, t, and the unit vectors i^ and j^. V⃗ (−t) = SubmitMy AnswersGive Up Part C What is the average acceleration of the mass during the time interval from − t to t? (Figure 3) Express this acceleration in terms of R, ω, t, and the unit vectors i^ and j^.
Answers
Part A :The position of the particle in vector form is given by\(r⃗ (t)=R[cos(ωt)i^+sin(ωt)j^]\)where R is the radius of the circle and ω is the angular velocity.The velocity of the particle is given by taking the derivative of the position vector with respect to time.
Taking derivative with respect to time on both side we get \(v⃗ (t)=d/dt R[cos(ωt)i^+sin(ωt)j^]= R[-in(ωt)ωi^+cos(ωt)ωj^]=ωR[-sin(ωt)i^+cos(ωt)j^]v⃗ (t)=ωR[-sin(ωt)i^+cos(ωt)j^]\)Thus the velocity of the mass at a time t is given by \(v⃗ (t)=ωR[-sin(ωt)i^+cos(ωt)j^]\).
Part B :
We have to find the velocity at time -t. The velocity of the particle is given by taking the derivative of the position vector with respect to time. Thus the velocity of the mass at a time -t is given by \(v⃗ (-t) = ωR[sin(ωt)i^ - cos(ωt)j^]\)
\(v⃗ (-t) = ωR[sin(ωt)i^ - cos(ωt)j^]\)Part C :
The average acceleration of the particle can be computed using the formulaa = \(Δv/Δt\)The velocity at time t is given by\(v⃗ (t) = ωR[-sin(ωt)i^+cos(ωt)j^]\)
The velocity at time -t is given by \(v⃗ (-t) = ωR[sin(ωt)i^ - cos(ωt)j^]\)
\(v⃗ (-t) = ωR[sin(ωt)i^ - cos(ωt)j^]\)The change in velocity over the interval from -t to t is therefore
\(Δv = v(t) - v(-t) = 2ωR[sin(ωt)i^ + cos(ωt)j^]\)
The time interval over which this change occurs is\(Δt = 2t\)Thus the average acceleration of the particle is given by a = \(Δv/Δt = ω^2R[sin(ωt)i^ + cos(ωt)j^]/t\)
\(a = Δv/Δt = ω^2R[sin(ωt)i^ + cos(ωt)j^]/t\)
The acceleration can be expressed in terms of R, ω, t, and the unit vectors \(i^ and j^\) as \(a = ω^2R[sin(ωt)i^ + cos(ωt)j^]/t\).
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Which measurement can she expect once the water begins to boil??
Answers
Answer:
200
Explanation:
has to be long this us just random words anseer is b. 100
scientific notation expresses a value as the product of a number between 1 and 10 and_____
Answers
Answer:
and the power to which the number should be raised:
1.50E2 = 1500
4.167E4 = 41,760
4.167E-4 = .0004176
Mass of the earth = 5.98 * 10^24 kg = 5.98E24 kg
Some examples of scientific notation
Answer:
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If you shake one end of a rope up and down , a wave passes through the rope. Which type of wave is it?
Answers
Answer: a transverse wave
Explanation:
Answer:
a transverse wave
Explanation:
I think
When two materials that are in contact have the same temperature, the materials are said to be in thermal
Answers
When two materials that are in contact have the same temperature, the materials are said to be in thermal equilibrium.
Thermal equilibrium is a state in which there is no net flow of heat between two objects in contact. In this state, the temperature of the objects does not change over time, as there is no temperature gradient between them. This is a fundamental principle of thermodynamics, and it is the basis for the design and operation of many thermal systems.
The concept of thermal equilibrium is also important in fields such as materials science, engineering, and physics, where it is used to describe the behavior of materials and their interactions with the environment.
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--The complete question is, When two materials that are in contact have the same temperature, the materials are said to be in ______.--
Calculate: An object’s weight is determined by its mass (m) and the acceleration due to gravity (g) affecting that object: w = mg. On Earth, g = 9. 8 m/s2.
What are the masses (in kilograms) of the three objects on the Gizmo? (Note: 1 N = 1 kg × m/s2)
Answers
The masses (in kilograms) of the three objects on the Gizmo is 14N object=1.42 kg, 80N object = 8.16kg, 98N object = 10kg
In physics, is gravity always 9.8?Gravity always accelerates objects at a rate of 9,8 m/s2 as it draws them toward the ground. Unless air resistance favors one item over another, all objects of study to the same rate due to gravity, despite differences in mass. Any two masses, bodies, or particles can be attracted to one another by the force of gravity.
Generally
For a Gizmo Bearing Mass of defined as integers
Say
14N, 80N, 98N
Therefore
For 14N
ω = m×g
14 = m×9.8
m1 = 1.42 kg
For 80N
ω = m×g
80 = m×9.8
m2 = 8.16kg
For 98N
ω = m×g
98 = m × 9.8
m3 = 10Kg
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An egg is dropped from a treehouse and takes 1.5 seconds to reach the ground. We can ignore air resistante What is the egg's displacement?
Answers
Answer:
d = -11.025 m
Explanation:
Given that,
An egg is dropped from a treehouse and takes 1.5 seconds to reach the ground. We need to find the egg's displacement. It can be calculated using second equation of motion as follows :
\(s=ut+\dfrac{1}{2}at^2\)
u is initial speed, the initial speed of egg is 0 as it was at rest initially.
a = -g (as the stone is coming downward direction)
t is time.
si is egg's displacement
\(s=0-\dfrac{1}{2}gt^2\\\\s=\dfrac{1}{2}\times 9.8\times 1.5^2\\\\d=-11.025\)
-ve sign shows the displacement of the egg in opposite direction of its motion and its magnitude is 11.025 meters.
45. On a dry day, your body can accumulate static charge from walking across a carpet or from brushing your
hair. If your body develops a charge of -15 uC (microcoulombs), how many excess electrons has it acquired?
What is their collective mass?
Answers
The body has acquired approximately 9.375 x 10^13 excess electrons. It has a collective mass of approximately 8.54 x 10^-17 kilograms.
To determine the number of excess electrons acquired, we can use the charge of a single electron, which is approximately -1.6 x 10^-19 coulombs.
Given that the body has a charge of -15 uC, we can calculate the number of excess electrons using the formula:
Number of excess electrons = (total charge) / (charge of a single electron)
Substituting the values:
Number of excess electrons = (-15 x 10^-6 C) / (-1.6 x 10^-19 C)
Calculating this, we find that the body has acquired approximately 9.375 x 10^13 excess electrons.
To find the collective mass of these electrons, we need to know the mass of a single electron, which is approximately 9.109 x 10^-31 kilograms.
The collective mass of the excess electrons can be calculated using the formula:
Collective mass = (number of excess electrons) x (mass of a single electron)
Substituting the values:
Collective mass = (9.375 x 10^13) x (9.109 x 10^-31 kg)
Calculating this, we find that the collective mass of the excess electrons is approximately 8.54 x 10^-17 kilograms.
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As a light ray enters water from air at an angle of 15 degrees with respect to the normal, it
A. always bends toward the normal. B. always bends away from the normal. C. sometimes bends towards the normal. D. sometimes bends away from the normal. E. does not bend.
Answers
Answer:
When the light ray enters the water from the air it always bends toward the normal
A is the correct answer
Explanation:
The phenomenon due to which a light ray on entering the water from the air bends towards the normal is called refraction. If the medium in which light is entering is denser than the previous one then light always bends towards the normal as in this case.
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An elephant pushes with 2000 N on a load of trees. If it takes the elephant 45 seconds to move trees 15 meters, how much power did the elephant generate?
Answers
Answer:
Power generate by elephant = 666.67 W
Explanation:
Given:
Force = 2,000 N
Change in time = 45 Seconds
Distance = 15 meter
Find:
Power generate by elephant ?
Computation:
⇒ Work Done = Force × Distance
⇒ Work Done = 2,000 × 15
⇒ Work Done = 30,000
⇒ Power = Work Done / Time taken
⇒ Power generate by elephant = 30,000 / 45 seconds
⇒ Power generate by elephant = 666.67 W
a baseball player friend of yours wants to determine his pitching speed. you have him stand on a ledge and throw the ball horizontally from an elevation 5.0 m above the ground. the ball lands 25 m away.
Answers
The pitching speed is found to be 24.5 m/s if The initial horizontal velocity of the baseball can have a horizontal from an elevation of 5.0m above ground and the ball lands 25m.
Assuming the baseball is thrown horizontally, we can use the kinematic equation for horizontal motion to find the initial horizontal velocity (v_x) of the ball:
x = v_x*t
where x is the horizontal distance the ball travels and
t is the time it takes to travel that distance
. In this case, x = 25 m, so we have:
v_x = x/t
To find t, we can use the kinematic equation for vertical motion:
y = 1/2gt²
where y is the vertical distance the ball falls and
g is the acceleration due to gravity (9.8 m/s^2).
In this case, y = 5.0 m, so we have:
t = \sqrt(2y/g) = \sqrt(25.0/9.8) = 1.02 s
Substituting this value of t into the equation for v_x, we get:
v_x = x/t = 25/1.02 = 24.5 m/s
Therefore, the initial horizontal velocity of the ball (and hence the pitching speed) is 24.5 m/s.
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Is gravitational pull strengthened by distance?
Answers
I'm not sure but I think that if objects are closer (less distant), than the gravitational pull is stronger. I'm sorry if I couldn't really help I remember learning about this kind of.
Compare and contrast types of radioactive decay involving alpha particles, beta particles, and gamma radiation.
Answers
In alpha decay, the nucleus loses two protons, in beta decay, the nucleus either loses or gains a proton whereas in gamma decay, no change in proton number occurs only energy is released.
How do the types of radioactive decay compare?Alpha decay is a type of radioactive decay in which the nucleus of an atom emits an alpha particle which leads to transforming into a new atomic nucleus by losing two protons. During beta decay, the proton in the nucleus is transformed into a neutron and and neutron is transformed into proton while on the other hand, gamma decay is a type of decay in which nucleus changes from a higher energy state to a lower energy state due to the release of electromagnetic radiation.
So we can conclude that In alpha decay, the nucleus loses two protons, in beta decay, the nucleus either loses or gains a proton whereas in gamma decay, no change in proton number occurs only energy is released.
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Which action would help reduce global warming?- Eat less red meat so fewer cattle need to be raised.- Ride a bicycle rather than walk to school.- Clear more forests to produce more farmland.- Use more fertilizers to increase crop production.
Answers
Eating less red meat so fewer cattle need to be raised would help reduce global warming.
What are the precautions to reduce by global warming?The production of red meat, particularly beef, is a major contributor to greenhouse gas emissions. Cattle produce methane, a potent greenhouse gas, and the production of feed for cattle also requires large amounts of energy, water and land. Additionally, the clearing of forests for grazing land and feed production also contributes to carbon emissions.
Riding a bicycle rather than walking to school would also help reduce global warming because it would decrease the amount of CO2 emissions produced by cars and other vehicles.
Clearing more forests to produce more farmland and using more fertilizers to increase crop production would not help to reduce global warming, as the clearing of forests causes a release of stored carbon into the atmosphere and the use of fertilizers and pesticides also has an environmental impact.
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Michael’s mom is driving the soccer carpool. They leave the field at 7 pm, with an odometer reading of 78,753 km. Combined the minivan and players have a mass of 2900 kg. After all the players are dropped off, it is 7:56 pm and the odometer reads 78,802 km. What was the average velocity of the minivan while traveling?
Answers
Answer:
0.875 miles/minute
Explanation:
The formula for velocity if final position - initial position divided by final time - initial time. Here, the final position
of the van was 49 km away from house, and its initial was 0, because you didn't travel anywhere initially. The final time was 56 minutes because that was how long it took to get home, and the initial was 0, because you were 0 minutes into travel at the beginning.
An atom has 15 neutrons, 19 electrons, and 20 protons. What is the charge of this atom?
Answers
Because the number of electrons and protons in a neutral atom is the same, this atom's charge is zero.
The number of electrons in a neutral atom is the same as the number of protons. In the case of this atom, there are 19 electrons and 20 protons, resulting in a charge of +1. This atom is a cation since it has more protons than electrons.The atomic number of an element is determined by the number of protons in its nucleus, and it is represented by the symbol Z. The total number of protons and neutrons in an atom's nucleus is called its mass number, and it is represented by the symbol A. The number of neutrons in an atom can be determined by subtracting the atomic number (Z) from the mass number (A).In this particular atom, there are 20 protons and 15 neutrons. The mass number is 20 + 15 = 35. The atomic number, on the other hand, is 20. As a result, this element is a neutral atom with 20 electrons.
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Does increasing mass also increase the energy transferred to another object? What is your evidence to support this claim?
Increasing mass (will / will not) increase the energy put into another object.
Answers
Answer:
Energy is essentially work done by an object or on object.
From,
W = Fd
It's directly proportional to mass.
from,
K. E = 1/2mv²
Energy is directly proportional to mass.
P. E = mgh
Energy is directly proportional to mass.
H = mc∆T
Energy is directly proportional to mass.
Thus increasing mass will increase the energy also imparted on another object since all the above eqns show that relationship.
And for 2 moving bodies
K.Ei = K.Ef(energy conservation)
m1u²1 + m2u²2 = m1v²1 + m2v²2
The relationship is the same that the greater mass the greater the impact.
to minimize conductor insulation damage and arcing damage to electrical equipment during a ground fault or a short circuit, ___ should be minimized.
Answers
To minimize conductor insulation damage and arcing damage to electrical equipment during a ground fault or a short circuit, the fault current should be minimized.
The fault current refers to the amount of current that flows through a fault or short circuit. By minimizing the fault current, the amount of heat and energy released during the fault is reduced, which helps protect the conductor insulation and electrical equipment from damage. Additionally, using appropriate protective devices such as fuses or circuit breakers can also help limit the fault current and prevent damage
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When an object slides,there is less friction than when it rolls
Answers
Answer:
False
Explanation:
Rolling friction takes place when an object rolls on the surface. Sliding friction takes place when two surfaces are rubbed against each other. Rolling friction is much less than sliding friction for same pair of bodies. When one body rolls upon another, there is theoretically no sliding or slip between them.
Assuming the Pressure Gradient Force is the same in both a trough and a ridge, the trough will have the faster winds. True False
Answers
False
The Pressure Gradient Force (PGF) is the force that drives air from areas of high pressure to areas of low pressure. In both a trough and a ridge, the PGF is the same.
However, the winds will not be the same in both features.
In a trough, the winds tend to move towards the center of the trough, where the air is rising, and this causes convergence and lifting. This upward motion causes a decrease in pressure, leading to a steeper pressure gradient, which means stronger winds. On the other hand, in a ridge, the winds move away from the center of the ridge, where the air is sinking, and this causes divergence and sinking. This sinking motion causes an increase in pressure, leading to a weaker pressure gradient and lighter winds.
Therefore, assuming the same PGF, the trough will have the faster winds compared to the ridge.
At which position is the kinetic energy of a particle executing SHM greatest?
A) at Its extreme position
B) at its maximum displacement
C) somewhere between amplitude and equilibrium position
D) at its equilibrium position
Answers
Explanation:
The kinetic energy of a particle in SHM is given by :
\(K=\dfrac{1}{2}m\omega^2(A^2-x^2)\)
Where
m is the mass of a particle
A is the amplitude
x is the distance
\(\omega\) is the angular frequency
The kinetic energy of a particle executing SHM is maximum at its equilibrium position and minimum at a maximum displacement from the equilibrium point.
_______ is in continuous motion in _____, spinning as it moves around the _______. Fill in the blank..
Answers
Answer: Earth is in a continuous motion in space, spinning as it moves around the sun.
(Hope this helped!)
Answer:
motion in space and moves around the sun
Explanation:
I hope this helps
the earth had a mass of 6,000,000,000,000,000,000,000,000 kg. and a radius of 6,371,000 m, what will be the gravitational force experienced by a puppy with a mass of 4.6 kg playing on the earth sur face
Answers
Answer:
Mass of Earth (M1) = 6×10^24 kg
Mass of Puppy (M2) = 3.6 kg
Radius (R) = 6371000 m
Universal Gravitational Constant (G) = 6.67 × 10^11
Now,
Gravitational Force = G×M1×M2 / R^2
GF = 6.67 × 10^11 × 6 × 10^24 × 3.6 / (6371000)^2
GF = 144.072 × 10^35 / 40,589,641,000,000
GF = 3549.477 × 10^20
A Galapagos tortoise weighs 59 Newtons (on Earth). What is its mass in kilograms?
Answers
Answer:
It is 6.02 kilograms.
Explanation:
One kilogram is equal to 9.81 Newtons. To convert Newtons to Kilograms,divide by 9.81. For instance, 20 Newtons would be equivalent to 20/9.81 or 2.04 kilograms
The noble gas neon is used for filling neon signs. Like other noble elements, it has a full octet (complete outer energy level) of electrons, which makes the gas A. freeze at room temperature. B. react with other gases in the air. C. unlikely to combine with other elements. D. solidify at standard pressure and temperature, chiny pray-colored solid at room
Answers
Answer:
C. unlikely to combine with other elements.
Explanation:
In Chemistry, electrons can be defined as subatomic particles that are negatively charged and as such has a magnitude of -1.
Valence electrons can be defined as the number of electrons present in the outermost shell of an atom. Valence electrons are used to determine whether an atom or group of elements found in a periodic table can bond with others. Thus, this property is typically used to determine the chemical properties of elements.
Noble gases are chemical elements with eight valence electrons and as such have a full octet. Some examples are argon, neon, etc.
Hence, the full octet makes the gas (neon) unlikely to combine with other elements.
What does an increases in concentration do to a material?
Answers
Answer:
it will increase the frequency of collisions between the two reactants
Explanation:
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2. What is the structure of electric circuits? Can a branch of a circuit contain three elements? Can there be a branch which doesn’t contain any circuit elements21?
Answers
First electric circuit means, the circuit has elements like resistors, capacitors, and inductors along with sources. Any electric circuit comprises nodes, branches, and meshes.
The joining point of two elements is called a node. The element between two nodes is called a branch. In branch, only one series element is possible to connect but in parallel, it can have N number of elements. No branch without elements in electric circuits.
A resistor is an electrical aspect that limits or regulates the go with the flow of electrical modern-day in a digital circuit. Resistors can also be used to offer a selected voltage for an energetic device together with a transistor.
The resistor is described as. A passive electrical issue with two terminals that can be used for both limiting or regulating the glide of electric contemporary in electric circuits. the main cause of the resistor is to lessen the modern-day go with the flow and to lower the voltage in any unique part of the circuit.
A resistor works by using proscribing the float of current, it may try this in one in all 3 approaches: first off, by using a much less conductive cloth, secondly by making the conductive fabric thinner, and sooner or later by making the conductive fabric longer.
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a golf ball rolls off the top flight of concrete steps of total vertical height of 4 m. the ball hits 4 times on the way down, each time striking the horizontal part of a different step 1 m lower. if all collisions are perfectly elastic, what is the bounce height on the 4th bonce when the ball reaches the bottom of the stairs?
Answers
The bounce height on the 4th bounce is 1.5 m.
The ball will lose some energy with each bounce, so the bounce height will decrease each time.
Assuming the ball starts from rest and the collisions are perfectly elastic, we can use the conservation of energy to find the bounce height on each bounce.
On the first bounce, the ball will reach a height of:
h1 = mgh/2
where m is the mass of the ball, g is the acceleration due to gravity, and h is the height of the first bounce.
On the second bounce, the ball will reach a height of:
h2 = (mgh/2) / 2
On the third bounce, the ball will reach a height of:
h3 = (mgh/2) / 4
On the fourth bounce, the ball will reach a height of:
h4 = (mgh/2) / 8
So the fourth bounce height will be 1.5 m.
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Consider the situation of throwing wet toilet paper at a wall and having it stick. How much momentum (in terms of magnitude) is transferred into the wall in this perfectly inelastic collision
Answers
In a perfectly inelastic collision, the momentum of the two objects after the collision is equal to the momentum of the two objects before the collision. In this case, the toilet paper has momentum in one direction, and the wall has no momentum.
After the collision, the toilet paper is stuck to the wall, so the two objects have the same momentum. Therefore, the momentum transferred into the wall is equal to the momentum of the toilet paper before the collision.
The momentum of an object is equal to its mass times its velocity. The mass of the toilet paper is relatively small, so its momentum is also relatively small. However, the velocity of the toilet paper can be quite high, so the momentum can still be significant.
For example, if a wet toilet paper ball with a mass of 10 grams is thrown at a velocity of 10 meters per second, it will have a momentum of 0.1 kg * 10 m/s = 1 kg⋅m/s. If the toilet paper sticks to the wall, the wall will gain a momentum of 1 kg⋅m/s.
The amount of momentum transferred into the wall can be increased by throwing the toilet paper with a higher velocity or by using a heavier toilet paper ball.
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Complete question :
Consider the situation of throwing wet toilet paper at a wall and having it stick. How much momentum (in terms of magnitude) is transferred into the wall in this perfectly inelastic collision?
A meteor moving through space speeds up as it gets closer to Earth. What force causes the meteor's speed to increase the closer it gets to Earth?
PLS Help
Answers
Answer:
gravity
Explanation:
its hard to explain its one of the resons we do gravity assists for space probes and such the meteor will catch earths gravity and be pulled in by it if you look at sednas orbit as it gets closer to the sun it speeds up.
The force that causes the meteor's speed to increase as it gets closer to Earth is the gravitational force of earth.
What is meant by gravity ?Gravity is defined as the force by which a planet attracts another body towards its center.
Here,
The meteor was moving through space and the speed of the meteor started increasing as it moves closer to the earth.
This is because of the gravitational force of earth that is being exerted on the meteor. Gravitational force of earth is defined as the force of attraction that the earth exerts on another body in its gravitational field and draws them towards the center of the earth.
As the meteor moves towards the earth's , it gets accelerated by the earth's gravitational field such that the speed of the meteor increases and thus it attains more kinetic energy. As a result, the meteor moves faster when it gets closer to earth. This is because of the force of gravity of the earth.
Hence,
The force that causes the meteor's speed to increase as it gets closer to Earth is the gravitational force of earth.
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