Geremy rolled a can of soup off the kitchen table. The can landed 0.75m from the table. The height of the table is 1.35m. At what velocity did Geremy roll the can horizontally?
Please show all work, thank you
Answers
The velocity used by Geremy to roll the can horizontally is 1.44 m/s
How do I determine the horizontal velocity used by Geremy?First we shall obtain the time taken for the can to reach the ground. This is shown below:
Height (h) = 1.35 mAcceleration due to gravity (g) = 9.8 m/s²Time (t) =?h = ½gt²
1.35 = ½ × 9.8 × t²
1.35 = 4.9 × t²
Divide both side by 4.9
t² = 1.35 / 4.9
Take the square root of both side
t = √(1.35 / 4.9)
t = 0.52 second
Finally, we shall determine the velocity used by Geremy to roll the can horizontally. Detail below:
Horizontal distance (s) = 0.75 mTime (t) = 0.52 secondHorizontal velocity (u) = ?s = ut
0.75 = u × 0.52
Divide both sides by 0.52
u = 0.75 / 0.52
u = 1.44 m/s
Thus, we can conclude that the horizontal velocity used is 1.44 m/s
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Related Questions
How does earthing provides safety to electrical appliances?
Answers
Answer:
The act of immediately discharging electrical energy into the Earth directly with the aid of a low-resistance wire is known as earthing. Electrical earthing is accomplished by attaching the equipment's non-current-carrying component or the supply system's neutral section to the ground.
Four reasons why it's crucial to ground electrical equipment:
1. Increased longevity of appliances: Grounding electrical appliances results in less stress on the equipment and a reduction in the exposure of the appliances to hazardous currents.
2. Eradication of fire risk: If there is a problem with the insulation, there may be a spark, which could cause a fire and damage to property. The risk of fire is decreased by grounding electrical equipment by sending leakage current from insulation faults to the ground.
3. Protection from electrical surges: Electrical surges, whether brought on by lightning or for other reasons, produce dangerously high voltage. All the hazardous electricity will flow to the ground rather than causing harm to the electrical system if your appliances or electrical system as a whole is grounded.
4. Voltage Stabilization: Ideally, the ground's potential is zero. Therefore, all electrical devices use the earth as a point of reference. Calculating the required potential for each electrical appliance would be challenging without a reference point.
Electrocution is the term for when electricity enters the body. Burns, respiratory failure, neurological effects, and heart failure are all results of high-current electric shock. It might even result in death. Therefore, in the event of an insulation fault, a safe path for the current to flow must be provided via earthing.
Explanation:
The Earth serves as an efficient pathway for the flow of electrons that escape the insulation because it is a good conductor of electricity. Additionally, the Earth's enormous size creates a pathway for the safe discharge of electric charge. No current escapes from a device that is properly grounded. In the event that the device develops an internal problem, this stops people from being shocked or electrocuted. Electronic equipment is stabilized by earthing. It shields appliances from over-current or excessive voltage. Earthing is another fire safety measure. Overvoltage can cause a device to spontaneously combust due to overheating.
general questions: a small car and a large suv are at a stoplight. the car has a mass equal to half that of the suv, and the suv can produce a maximum accelerating force equal to twice that of the car. when the light turns green, both drivers push their accelerators to the floor at the same time. which vehicle pulls ahead of the other vehicle after a few seconds?
Answers
After a few seconds, no vehicle will pull ahead, it is a tie because the acceleration for the small car and the SUV are the same.
According to Newton's second law F = ma where m is the mass of the object, F is the force that works on the object, and a is the acceleration.
Mass of the SUV = m₂ = mMass of the small car = m₁ = half of the SUV = 0.5mAccelerating of the small car = F₁ = FAccelerating of the SUV = F₂ = 2FThe bigger acceleration of a car, it will make the car move further and faster. So we have to calculate the ratio of acceleration for both cars.
F₁ : F₂ = m₁ a₁ : m₂ a₂
F : 2F = 0,5m a₁ : m a₂
1 : 2 = 0,5 a₁ : a₂
2 × 0,5 a₁ = 1 × a₂
a₁ = a₂
The acceleration for the small car is the same as the acceleration for the SUV. It is a tie.
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What is the mass of an object that has 795J of moving kinetic energy and is moving at 3.5 m/s ?
Answers
Given data
*The given energy is k = 795 J
*The speed of the object is v = 3.5 m/s
The formula for the kinetic energy of the object is given as
[tex]k=\frac{1}{2}mv^2[/tex]*Here m is the mass of the object
Substitute the known values in the above expression as
[tex]\begin{gathered} 795=\frac{1}{2}m(3.5)^2 \\ m=129.79\text{ kg} \end{gathered}[/tex]Hence, the mass of the object is m = 129.79 kg
Energy can be transferred between objects or systems; momentum cannot be transferred and is only gained or lost from an object or system.
Answers
In a collision when two or more objects collide, the momentum will be transferred between the objects involved in the collision. But the total momentum of a system will always be conserved. Thus the system will never lose or gain momentum.
Thus the given statement is false.
A 6.25-gram bullet travelling at 365 m/s strikes and enters a 4.50-kg crate. The crate slides 0.15 m along a wood floor until it comes to rest.1. Find the friction force between the crate and the floor.
Answers
In order to determine the friction force, proceed as follow:
Take into account that total momentum of the system must conserve, then, you have:
m*v = (m + M)v'
where,
m: mass of the bullet = 6.25g = 0.00625kg
v: initial speed of the bullet = 365m/s
M: mass of the crate = 4.50kg
v': speed of both crate and bullet after the impact = ?
Solve the equation above for v', replace tha values of the other parameters and simplify:
[tex]\begin{gathered} v^{\prime}=\frac{mv}{m+M} \\ v^{\prime}=\frac{(0.00625kg)(365\frac{m}{s})}{0.00625\operatorname{kg}+4.50\operatorname{kg}} \\ v^{\prime}\approx0.506\frac{m}{s} \end{gathered}[/tex]Now, consider that the work done by the friction force is given by:
W = Fr*d
where,
Fr: friction force = ?
d: distance = 0.15m
Furthermore, the work done is equal to:
W = 1/2*(m+M)v'^2 that is, the change in kinetic energy is equal to the work
Then, you can equal the previous expressions for W, solve for Fr, replace and simplify:
[tex]\begin{gathered} F_rd=\frac{1}{2}(m+M)v^{\prime}^2 \\ F_r=\frac{1}{2}\frac{(m+M)v^{\prime2}}{d} \\ F_r=\frac{1}{2}\frac{(0.00625kg+4.50kg)(0.506\frac{m}{s})^2}{0.15m} \\ F_r\approx3.846N \end{gathered}[/tex]Now, take into account that the friction force can be written as follow:
Fr = μN = μ(m+M)g
where,
μ: coefficient of kinetic friction between crate and floor
g: gravitational acceleration constant = 9.8m/s^2
Solve the equatio above for μ, replace the values of the other parameters and simplify:
[tex]\begin{gathered} \mu=\frac{F_r}{(m+M)g} \\ \mu=\frac{3.846N}{(0.00625kg+4.50kg)(9.8\frac{m}{s^2})} \\ \mu\approx0.087 \end{gathered}[/tex]Hence, the coefficient of kinetic friction is approximately 0.087
a certain planet has equatorial radius about 0.463 times that of the earth, and mass only 0.110 times that of the earth. calculate the free-fall acceleration due to gravity on this planet in units of gg (earth's gravitational acceleration).
Answers
Using the theories of gravitation, we got that 3.42×[tex]10^{11}[/tex]m/sec² is the free-fall acceleration due to gravity on a a certain planet has equatorial radius about 0.463 times that of the earth, and mass only 0.110 times that of the earth.
We know that acceleration due to gravity on the planet is given by
=Gm/r²
where G is the earth's gravitational constant, m is the mass of the planet and r is the radius of the planet
We are given that mass of the planet is 0.110 times that of the earth.
and radius of the planet is 0.463 times that of the earth.
We know that value of G is 6.67×[tex]10^{11}[/tex].
So putting the values, we get
Acceleration of planet=[6.67×[tex]10^{11}[/tex]×0.110 Mass of the earth]/(0.463)² radius of the earth
=>Acceleration of planet=[(6.67×0.110)× [tex]10^{11}[/tex]]/(0.463×0.463)
=>Acceleration of planet = (0.7337/0.2143)×[tex]10^{11}[/tex]
=>Acceleration of planet =3.42×[tex]10^{11}[/tex]m/sec²
Hence, for a certain planet has equatorial radius about 0.463 times that of the earth, and mass only 0.110 times that of the earth, the free-fall acceleration due to gravity on this planet is 3.42×[tex]10^{11}[/tex]m/sec².
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what is the ratio of the gravitational force that earth exerts on the sun in the winter and the force that it exerts in the summer?
Answers
1:1 is the ratio of the gravitational force that earth exerts on the sun in the winter and the force that it exerts in the summer because it is independent of temperature.
F=GMm/R²
Any action that aims to maintain, alter, or deform a body's motion is considered a force in mechanics. In his Principia Mathematica, Isaac Newton frequently used his three laws of motion to demonstrate the concept of force (1687).
According to Newton's first law, a body will remain in either its resting or equally moving condition along a straight path in the absence of an external force. The second law states that when an external force acts on a body, the body accelerates (changes velocity) in the direction of the force.
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A 40. 0-kg child stands at one end of a 40. 0-kg boat that is 4. 00 m in length. The boat is initially 3. 00 m from the pier. The child notices a turtle on a rock near the far end of the boat and proceeds to walk to that end to catch the turtle. Neglecting friction between the boat and the water, where is the child relative to the pier when he reaches the far end of the boat?.
Answers
When the boy reaches the far end of the boat, his position in relation to the pier is 61.5 m away.
Explain about the friction?The force produced when two surfaces slide against and touch one another is referred to as frictional force. There are a few things that affect the frictional force: The surface texture of these forces and the amount of force pressing them together have the biggest impact.
The imperfections on the two surfaces in contact, friction is produced. Small irregularities can be found on even the smoothest surfaces, and when two surfaces interact with one another, they cause friction.
Two surfaces interacting produces the common force known as friction. This interaction raises the heat energy of the two surfaces as they slide against one another (the temperature goes up).
Boat mass M = 40 kg
The child weighs 40kg.
3 meters separate the boat's near end from the pier.
Boat length is 4 meters.
= 40 *(3/2) + 40 *3/ 40+ 40
= 60 +120/ 80
=61.5 meter
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Dominic made the table below to organize his notes about mixtures. A 1-column table. The first column labeled properties of mixtures has entries has no set composition, must have more than one state of matter, must have more than one substance. What mistake did Dominic make? The title should read “Properties of Solutions” because some mixtures do not have all of the properties listed. There is a definite recipe to make each mixture, so the composition of a mixture is set. Although it is possible to have more than one state, it is also possible to have only one state. A single substance can be used to make a mixture if the substance is composed of more than one element. Mark this and return
Answers
The mistake that Dominic made is that C. Although it is possible to have more than one state, it is also possible to have only one state
What exactly is a mixture?A mixture in chemistry is a material composed of two or more simpler components that are not chemically linked.
Individual substances retain their properties in a mixture, but their properties may change if they form a compound; when mixed, individual substances retain their properties in a mixture, but their properties may change if they form a compound.
When matter is mixed, such as with clouds, it can take on characteristics from various states. As a result, while it is possible to have more than one state, it is also possible to have only one state.
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what is the name of the side of angle x
Answers
a meter stick has a mass of 0.172 kg and balances at its center. when a small chain is suspended from one end, the balance point moves 21.8 cm toward the end with the chain. determine the mass of the chain.
Answers
If the stick stays in the above-shown horizontal position at rest, m is 5 kg.
What is meant by mass?The amount of matter in a substance or an object is measured by its mass. The kilogram (kg) is the fundamental SI unit of mass, while lower masses can also be measured in grams (g). A balance is what you would use to measure mass. In physics, mass is a quantitative measurement of inertia, a basic characteristic of all matter. It essentially refers to a body of matter's resistance to changing its speed or position in response to the application of a force.In the event that the torques around the suspension point are balanced, the stick will stay at rest in the horizontal position.
[tex]\tau_{\mathrm{CCW}} &=\tau_{\mathrm{CW}} \\[/tex]
[tex]r_1 F_1 &=r_2 F_2 \\[/tex]
[tex]r_1 m_1 g &=r_2 m_2 g \\[/tex]
[tex]m_2 &=\frac{r_1 m_1}{r_2}=\frac{(50 \mathrm{~cm})(3 \mathrm{~kg})}{30 \mathrm{~cm}}=5 \mathrm{~kg}[/tex]
It should be noted that finding m2 could also be done using the center of mass formula, but doing so would require algebra. The balance point can typically be located using the center of mass formula. It is typically simpler to apply torque if the balance point is known.
The complete question is:
A uniform meter stick of mass 1 kg is hanging from a thread attached at the stick’s midpoint. One block of mass m = 3 kg hangs from the left end of the stick, and another block, of unknown mass m, hangs below the 80 cm mark on the meter stick. If the stick remains at rest in the horizontal position shown above, what is m ?
A. 4 kg
B. 5 kg
C. 6 kg
D. 8 kg
E. 9 kg
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Energy is produced in the Sun’s...
A. corona
B. photosphere
C. chromosphere
D. core
Answers
Particle Mass (amu)
proton 1.007593
neutron 1.008982
deuterium 2.014186
tritium 3.016448
helium 3 3.015779
helium 4 4.003873
1.0 ev = 1.6 · 10-19 j
1.0 amu = 931 Mev
1 angstrom () = 1 X 10-10m
h = 6.63 · 10-34 J-s.
Always use significant figure rules. Remember that these rules apply to all numbers that are measurements.
The mass of a deuterium nucleus 21H is less than its components masses. Calculate the binding energy.
Mev
Answers
The binding energy of deuterium is 2.224 MeV.
Given parameters:
Mass of proton = 1.007593 amu.
Mass of neutron = 1.008982 amu.
Mass of deuterium = 2.014186 amu
We know that: deuterium atom is made up with one proton and one neutron.
So, mass of the components of the deuterium = 1.007593 amu + 1.008982 amu. = 2.016575 amu.
Hence, mass loss = mass of the components of the deuterium - Mass of deuterium
= 2.016575 amu - 2.014186 amu.
= 0.002389 amu.
We know that, 1.0 amu = 931 Mev
So, binding energy = mass loss x 931 Mev
= 0.002389 x 931 Mev
= 2.224 MeV.
Hence, the binding energy of deuterium is 2.224 MeV.
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Astronomers have measured light from stars in galaxies that
are billions of years old. Which of the following must be true
about energy for this to be possible?
When stars emit energy in the form of light it travels to Earth faster
than other places in the Universe.
Energy in the form of light can only travel toward objects.
When energy in the form of light is redshifted it is no longer
measurable.
Energy in the form of light travels across space and cannot be
destroyed
Answers
The statement that is true about energy is that "energy in the form of light travels across space and cannot be destroyed" Option D.
What is energy?We know that in physics, energy is generally defined as the ability to do work. There are several kinds of energy that are in existence and we know that light energy is only one of the kinds of energy.
Energy in the form of light is produced by stars and these stars have been in existence for several billion years and they are still able to produce light that can be visible to the astronomers that study the outer space.
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A car tyre has a constant volume. Why does the pressure of the air in the tyre increase when its
temperature increases?
A) The air molecules hit each other less often.
B) The air molecules hit the inside of the tyre less often.
C) The average speed of the air molecules in the tyre is greater.
D) There are more air molecules in the tyre
Answers
Answer:
C) The average speed of the air molecules in the tyre is greater.
Explanation:
As temperature increases the speed of the molecule increases too.
What is the length of our milky way? (astronomy)
Answers
Answer:
about 100,000 light years away
Explanation:
What is the milky way galaxy.It's where our solar system is. Scientists gave it that name because it looks like someone spilled a glass of milk.
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An electric space heater draws 25.0 A from a 200 V source. It is operated, on the average, for 10.0 h each day.At AED 0.30 per kWh, how much does it cost to operate the heater for 15 days?
Answers
The cost of energy consumption to operate the heater for 15 days is $2.25
Voltage (V) = 200 V
Current (I) = 25 A
Power (P) = VI = 200 * 25 = 5,000 W
Now, the calculation of the energy consumption for 15 days in KW/h
We will convert W to kW,
1000 W = 1kW
Therefore,
5,000 W = 5000 W × 1 KW / 1000 W = 5kW
The daily energy consumption will be calculated. This is attainable as follows,
P = 5kW
Time(t) = 10 h
Energy (E) = P/t = 5/10 = 0.5 kW/h per day.
Finally, we will calculate the energy usage for the next 30 days. This is attainable as follows:
1 day = 0.5 kW
Cost of one day = 0.5 * 0.30 = $ 0.15
Now, the cost to operate the heater for 15 days = $ 15 * 0.15 = $2.25
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Which two substances are among the six most abundant elements in living things?
Answers
Answer:Oxygen. Oxygen is the most abundant element contained within living organisms, composing about 65% of the human body. ...
Carbon. ...
Hydrogen. ...
Nitrogen. ...
Sulfur. ...
Phosphorus.
Explanation:
a constant force is applied to a body that is already moving. the force is directed at an angle of 60 degrees to the direction of the body's velocity. what is most likely to happen is that group of answer choices
Answers
the body will gradually change direction more and more toward that of the force while speeding up.
In physics, pressure is a power that may trade the movement of an object. A pressure can purpose an object with mass to exchange its speed (e.g. transferring from a country of relaxation), i.e., to boost up. pressure also can be defined intuitively as a push or a pull. A force has each importance and direction, making it a vector quantity. Its miles are measured within the SI unit of newton (N). force is represented via the symbol F (formerly P).
The authentic shape of Newton's second law states that the internet pressure acting upon an object is the same as the fee at which its momentum changes with time. If the mass of the item is steady, this regulation implies that the acceleration of an item is immediately proportional to the internet pressure acting at the item, is in the route of the net force, and is inversely proportional to the mass of the object.
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How much energy is stored in a spring with a spring constant of 150 N/m when it is compressed 2 cm?
Answers
The energy stored in a spring is elastic potential energy. The formula for calculating the elastic potential energy is expressed as
elastic potential energy = 1/2kx^2
where
k represents spring constant
x represents the distance through which the spring was compressed
From the information given,
k = 150 N/m
x = 2cm
we would convert 2cm to m
recall, 100cm = 1 m
2 cm = 2/100 = 0.02 m
By substituting these values into the formula,
elastic potential energy = 1/2 x 150 x 0.02^2
elastic potential energy = 0.03 J
A current of 11.37 A passes through a wire. How many electrons pass through the wire in 18.19 seconds ?
Answers
Explanation
An Ampere is in the SI base unit of electric current equal to one coulomb per second.
[tex]\text{ 1 Ampere=}\frac{1\text{ C}}{s}[/tex]and remember that the charge of an electron is
[tex]Q_e=-1.6*10^{-19\text{ }}C[/tex]Step 1
a) let
[tex]\begin{gathered} I=11.37\text{ Amperes} \\ I=11.37\text{ A}*(\frac{\frac{1C}{s}}{A})=11.37\frac{C}{s} \\ also \\ time\text{ =}18.9\text{ s} \end{gathered}[/tex]so
[tex]\begin{gathered} I=\frac{Q}{time} \\ replace \\ 11.37A=\frac{Q}{18.19} \\ multiply\text{ both sides by 18.19} \\ 11.37A*18.19=\frac{Q}{18.19}*18.19 \\ 206.8206\text{ C}=Q \end{gathered}[/tex]b) now , to find the number o f electrons , divide the total a}charge by the charge of an electron
[tex]Number\text{ of electrons=}\frac{206.8206C}{\lvert{-1.6*10^{-19\text{ }}C}\rvert}=1.29*10^{21}\text{ electrons}[/tex]therefore, the answer is
[tex]\begin{equation*} =1.29*10^{21}\text{ electrons} \end{equation*}[/tex]I hope this helps you
A 55 kg ice skater is gliding along at 3. 5 m/s. Five seconds later her speed has dropped to 2. 8m/s.
Answers
If a 55 kg ice skater is gliding along at 3. 5 m / s has her speed has dropped to 2.8 m / s in 5 s, the force required is - 7.7 N
a = v - u / t
a = Acceleration
v = Final velocity
u = Initial velocity
t = Time
u = 3.5 m / s
v = 2.8 m / s
t = 5 s
a = ( 2.8 - 3.5 ) / 5
a = - 0.7 / 5
a = - 0.14 m / s²
According to Newton's second law of motion,
F = m a
F = Force
m = Mass
a = Acceleration
m = 55 kg
F = 55 * - 0.14
F = - 7.7 N
The negative sign indicates that the force is applied on the opposite direction of motion
Therefore, the force required to drop the speed is - 7.7 N
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ill give brainliest if you help me
Answers
Stay blessed
When a block of steel at 90 degrees celsius is placed in a bucket of water at 30 degrees celsius, what happens?.
Answers
When a block of steel at 90 degrees Celsius is placed in a pail of water at 30 degrees Celsius, there is a differential in temperature.
What is the formula for temperature change?Where T is the final temperature and Ti is the initial temperature, gives the change in temperature. Every substance has a unique specific heat that is measured in either K units depending on how T is expressed.
What causes changes in temperature?The balance between energy entering and leaving the planet's system determines the temperature of Earth. The Earth warms as incoming solar energy is absorbed by the Earth system. Earth does not warm when solar energy is reflected back into space.
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What causes a ship carrying heavy cargo to take more time to come to a stop than an identical ship carrying lighter cargo if both ships are traveling at the same speed?.
Answers
The greater momentum causes a ship carrying heavy cargo to take more time to come to a stop than an identical ship carrying lighter cargo if both ships are traveling at the same speed.
The amount of motion has momentum. If a thing is moving and has mass, it has momentum. If an object is stationary, it has no momentum. A body's motion is defined by its intensity as momentum. As the body's motion depends on both velocity and direction, momentum also depends on both. Momentum is a vector quantity. For instance, a baseball with a small mass thrown quickly can have the same momentum as a bowling ball with a big mass that is moving slowly. Another example is a big truck moving.
Mathematically,
p = mv
Momentum = Mass × Velocity
Its SI Unit is Kg.m.s⁻¹
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A ball is thrown vertically upward. As it rises, what happens to its kinetic energy?.
Answers
The kinetic energy and potential energy of an object continue to decrease when thrown vertically upward.The ball retains the same total energy.The ball will only have potential energy when it reaches its highest point, when its velocity is zero and it has no kinetic energy.
What happens to a ball's kinetic energy when it is thrown vertically up?Zero kinetic energy is produced. The transformation of kinetic energy into potential energy occurs in accordance with the law of conservation of energy. At this height, potential energy is at its highest.
Is there an increase in kinetic energy when a ball is thrown up?We transfer potential energy to the ball when we throw it in the upward direction, allowing it to gain kinetic energy and allow it to rise to a certain height. However, the ball's kinetic energy decreases as it continues to rise in height, eventually reaching zero.
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The current theory of the structure of the
Earth, called plate tectonics, tells us that the
continents are in constant motion.
Assume that the North American continent
can be represented by a slab of rock 5500 km
on a side and 29 km deep and that the rock
has an average mass density of 2960 kg/m3
.
The continent is moving at the rate of about
5 cm/year.What is the mass of the continent?
Answer in units of kg.What is the kinetic energy of the continent?
Answer in units of J.A jogger (of mass 73 kg) has the same kinetic
energy as that of the continent.
What would his speed be?
Answer in units of m/s.
Answers
Based on the data provided:
The mass of the continent is 2.596 * 10²¹ kgThe kinetic energy of the continent is 6525 JWhat is the mass of the rock?The mass of the rock is determined using the formula below:
Mass = density * volumeThe density of the rock = 2960 kg/m³
The volume of the rock = area of side * depth of rock
Volume of the rock = 5.5 * 10⁶ m x 5.5 * 10⁶ m x 2.9 * 10⁴ m
Volume of the rock = 8.77 * 10¹⁷ m³
Mass of the rock = 8.77 * 10¹⁷ m³ * 2960 kg/m³
Mass of the rock = 2.596 * 10²¹ kg
B) The kinetic energy is found using the formula below:
Kinetic Energy = ½mv²Kinetic Energy = ½ x 2.596 * 10²¹ kg x (5.0 cm/year x 1m/100cm x 1yr/365 day x 1day/24hr x 1hr/3600s)²
Kinetic Energy = 6525 J
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A rock is thrown upward with a velocity of 27 meters per second from the top of a 35 meter high cliff on the way back down. When will the Rick be 5 meters from ground level? Round your answer to two decimal places
Answers
Given data
*The given veloicty of the rock is u = 27 m/s
*The given height of the cliff is h = 35 m
*The given height of the Rick from the ground level is s = 5 m
*The value of the acceleration doue to gravity is g = 9.8 m/s^2
The formukla for the time taken by the Rick at 5 meters from the ground level is given as
[tex]s=h+ut+\frac{1}{2}at^2[/tex]Substitute the known values in the above expression as
[tex]\begin{gathered} 5=(35)+(27)(t)+\frac{1}{2}(9.8)t^2 \\ 4.9t^2-27t-30=0 \\ t=6.45\text{ s} \end{gathered}[/tex]Hence, the time taken by the Ric at 5 meters above the ground lel is t = 6.45 s
Answer:
6.45 s
Explanation:
df = final position = 5 m a = accel of gravity = -9.81 m/s^2
do = original position = 35 m vo = original velocity = 27m/s
df = do + vot + 1/2 at^2
5 = 35 + 27t - (1/2)9.81t^2
-4.905 t^2+ 27t +30 = 0
Use quadratic formula a = -4.905 b = 27 c = 30
to find t = 6.45 s
(Ignore the negative value found with the Quadratic Formula)
Fully explain step-by-step Questions number one a,b,c,d solve for all required
Answers
(1) The equation is
[tex]v_2=v_1+a\Delta t[/tex]For v_1,
[tex]\begin{gathered} v_2=v_1+a\Delta t \\ Subtract\text{ a}\Delta t\text{ on both sides.} \\ v_2-a\Delta t=v_1+a\Delta t-a\Delta t \\ v_2-a\Delta t=v_1 \end{gathered}[/tex]For a,
[tex]\begin{gathered} v_2=v_1+a\Delta t \\ \text{Subtract v}_1\text{ on both sides} \\ v_2-v_1=v_1-v_1+a\Delta t \\ v_2-v_1=a\Delta t \\ \text{Divide }\Delta t\text{ on both sides.} \\ \frac{v_2-v_1}{\Delta t}=a\frac{\Delta t}{\Delta t} \\ \frac{v_2-v_1}{\Delta t}=a \end{gathered}[/tex]For time,
[tex]\begin{gathered} v_2=v_1+a\Delta t \\ \text{Subtract v}_1\text{ on both sides} \\ v_2-v_1=v_1-v_1+a\Delta t \\ v_2-v_1=a\Delta t \\ \text{Divide }a\text{ on both sides.} \\ \frac{v_2-v_1}{a}=\frac{a}{a}\Delta t \\ \frac{v_2-v_1}{a}=\Delta t \end{gathered}[/tex]A rocket moving upward at 2.50 km/s
discards its first stage and continues to
accelerate upward at 40.0 m/s² for
another 120 s. How much altitude does it
gain during this time (km)?
[?] km
Answers
The altitude gained by the rocket is 588km
If an object's velocity changes, it is said to have been accelerated. An object's velocity can alter depending on whether it moves faster or slower or in a different direction.
Since acceleration has both a magnitude and a direction, it is a vector quantity. Additionally, it is the first derivative of velocity with respect to time or the second derivative of position with respect to time.
We know that the second equation of motion is
h = ut + 1/2 at²
Initial speed, u = 2.50km/s
acceleration, a = 40m/s² = 0.04km/s² [1m = 0.001km]
time, t = 120s
Altitude gain during this time, h
h = ut + 1/2 at²
h = 2.50 * 120 + 1/2 * 0.04 * 120²
h = 588km
Hence, the altitude gained by the rocket is 588km
Learn more about acceleration here:
https://brainly.com/question/12550364
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