The angular momentum of the moon in its orbit around the earth is 28854.80* 10³⁰ kg.m²/s.
Given that,
Mass of the moon = 7.35 * 10²² kg
Radius of the orbit = 3.84 * 10⁸ m
Let us find the tangential velocity,
v = 2π* r/ T = (2π* 3.84 * 10⁸ )/ 2.36 * 10⁶ = 1022.35 m/s
T is transformed from days to seconds.
T = 27.3 * 86400 sec/ 1 day = 2.36 * 10⁶ s
The formula to find out angular momentum is, L = r *m* v
where, L is the angular momentum
r is the radius
m is the mass
v is the tangential velocity
L = 3.84 * 10⁸ * 7.35 * 10²² * 1022.35 = 28854.80* 10³⁰ kg.m²/s
Thus, the angular momentum of the moon in its orbit around the earth is 28854.80* 10³⁰ kg.m²/s.
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A pendulum has a period of 0.25 seconds. How many cycles will it have in one
second?
A wire carries a 12. 55 μA current. How many electrons pass a given point on the wire in 2. 39 s? Round to two decimal places and express your answer in terms of scientific notation, for example: 3. 2.00E+11
Answer:
Q = N e where N is number of electrons and Q is total charge
I = Q / t where I is current and t = sec
I = Q / t = 12.55E-6 Coul / Sec
Q = 12.55E-6 Coul/sec * 2.39 sec = 3.00E-5 Coul total charge
N = 3.00E-5 coul / 1.60E-19 coul = 1.87E14 electrons
(electronic charge = 1.60E-19 Coul)
Which of the following correctly lists our "cosmic address" from small to large?
a. Earth, solar system, Milky Way Galaxy, Local Group, Local Supercluster, universe
b. Earth, solar system, Local Group, Local Supercluster, Milky Way Galaxy, universe
c. Earth, Milky Way Galaxy, solar system, Local Group, Local Supercluster, universe
Our "cosmic address" from small to large are earth, solar system, milky way galaxy, local group, local supercluster, universe (option A)
The "smallest" is earth, it is the planet where we live and the third of the eight planets in the solar system.
The solar system is a collection of celestial bodies consisting of a star called the sun and all the objects that are bound by its gravitational force. And the milky way galaxy is the galaxy that contains our solar system. It is a barred spiral galaxy 100,000-120,000 light years in diameter containing 100-400 billion stars.
The local group is the group of galaxies that includes the milky way among others. It consists of more than 54 galaxies, including dwarf galaxies.
The local supercluster is one of the largest known cosmic structures in the universe. They are large, threadlike formations, with a typical length of 50 to 80 megaparsecs h-1, which form the boundaries between the great voids in the universe.
The universe is isotropic, the distance to the edge of the observable universe is approximately the same in all directions. That is, the observable universe is a spherical (spherical) volume centered on the observer, regardless of the shape of the universe as a whole.
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Answer:
Our "cosmic address" from small to large are earth, solar system, milky way galaxy, local group, local supercluster, universe (option A)
Question
Which experience of colonial America most likely influenced George Washington to discourage future presidents from serving more than 2 terms?
Responses
European traditions and holidays
tyrannical rule of King George III
encountering Native Americans
exploring land west of the colonies
Answer: encountering Native Americans and Exploring land west of the Colonies
Explanation:
America was buit from people form europe who were white man who wanted power over other people
Answer:C
Explanation:
Which statement explains why 49 is a perfect square?
Answer:
It’s the product of 7 x 7. The square root of 49 is 7
Explanation:
It’s the product of 7 x 7. The square root of 49 is 7
Which of these words describes a chemical property of gold?
A. Shiny
B. Insoluble
C. Inert
D. Malleable
Answer:
D. Malleable
Explanation:
Gold is metallic, with a yellow colour when in a mass, but when finely divided it may be black, ruby, or purple. It is the most malleable and ductile metal; 1 ounce (28 g) of gold can be beaten out to 300 square feet. It is a soft metal and is usually alloyed to give it more strength.
A DC motor is powered with Ea = 400V, the armature resistance is Ra = 20, the torque constant of the motor is K+ = 1 Nm/A. What gear ratio G is required to drive this load at its maximum operating speed? Hint: The load torque intercepts the motor torque in two places, only one will be positive, dwop you will again need to solve = 0. dG
A DC motor is powered with Ea = 400V, the armature resistance is Ra = 20, the torque constant of the motor is K+ = 1 Nm/A.
What gear ratio G is required to drive this load at its maximum operating speed?The load torque intercepts the motor torque in two places, only one will be positive, drop you will again need to solve = 0. d the given details are Ea = 400VRa = 20K+ = 1 Nm/A
To find; Gear ratio G required to drive this load at its maximum operating speed.
Formula used: θ=K+ * Ia The motor torque, Tm = K+ * Ia The load torque, TL = J * dw / G The armature current, Ia = (Ea - V) / Ra By equating the motor torque and load torque, we have; K+ * Ia = TL The load torque is positive, so we have;TL = J * dw / G Since the load is operating at maximum speed, d w = 0So, TL = 0 = J * 0 / G
Thus, G is not found in the equation.
So, we can conclude that G does not affect the maximum speed of the motor. The maximum speed is determined by the back EMF, Ea, and the motor constants, K+ and Ra.
So, the gear ratio G is irrelevant in determining the maximum speed of the motor.
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A(n) _____ is an area where an individual bird lives.
knee Explanation:
knee grows
this force acting on the wind flow at little rock was directed generally toward the ______.
This force acting on the wind flow at Little Rock can be described as being directed generally toward a particular direction.
However, it is important to note that wind patterns are influenced by various factors, including local topography, weather systems, and seasonal variations. Therefore, the precise direction of the wind force at any given moment can vary.
Little Rock, the capital city of Arkansas, is located in the southeastern United States. The prevailing wind patterns in this region are influenced by the general weather patterns and geographic features of the area.
In the United States, wind patterns are commonly influenced by the movement of weather systems from west to east. Based on this general pattern, the prevailing winds in Little Rock often come from the south or southwest. This is because air masses tend to move in a counterclockwise direction around low-pressure systems, resulting in a southerly flow of air.
Additionally, Little Rock is situated near the southern edge of the Central Plains, which can also contribute to a south or southwest wind component. The presence of the Ozark Mountains to the north and the Gulf of Mexico to the south can further influence wind patterns in the region.
However, it is important to note that wind direction can change based on daily weather conditions, seasonal variations, and local influences. Therefore, while the prevailing wind direction in Little Rock is generally from the south or southwest, specific wind events and local conditions can cause temporary variations in wind direction.
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Which statement best explains why there could be a force of attraction
between two electrically charged objects?'
because they have like charges
because they have unlike charges
because they have the same number of protons
because they have the same number of electrons
how much work needs to be done when a 68kg object needs to be lifted by 5.3m
In this case, the force required to lift the object is equal to its weight, which is the product of its mass and the acceleration due to gravity is approximately 3,585.6 joules.
The work done on an object is given by the equation:
work = force × distance.
In this case, the force required to lift the object is equal to its weight, which can be calculated using the formula:
weight = mass × acceleration due to gravity.
The mass of the object is given as 68 kg, and the acceleration due to gravity is approximately 9.8 m/s².
Therefore, the weight of the object is
(68 kg) × (9.8 m/s²)
= 666.4 newtons.
Now, we can calculate the work done by multiplying the force (weight) by the distance lifted. The distance lifted is given as 5.3 m.
Therefore, the work done is
(666.4 N) × (5.3 m)
= 3,585.6 joules.
Hence, approximately 3,585.6 joules of work needs to be done to lift the 68 kg object by 5.3 m.
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3. A physics student starting at rest skis down a 225 m long hill, accelerating at a constant 2.0 m/s². How long
does it take her to reach the bottom of the slope?
The amount of time it would take this physics student to reach the bottom of the slope is 15 seconds.
How to calculate the time?In order to determine the amount of time it would take this physics student to reach the bottom of the slope, we would apply the second equation of motion. Mathematically, the second equation of motion is given by:
S = ut + ½at²
Where:
S represents the distance travelled or covered.t represents the time.u represents the initial velocity.a represents the acceleration.Making time, t the subject of formula, we have:
Time, t = 1/a[-u ± √(u² + 2aS)]
Substituting the given parameters into the formula, we have;
Time, t = 1/2.0 × [0 ± √(0² + 2 × 2.0 × 225)]
Time, t = 1/2.0 × [0 ± √(900)]
Time, t = 1/2.0 × [30]
Time, t = 15 seconds.
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you are driving a car. as you prepare to turn, you see a motorcycle coming toward you. the motorcycle is likely to appear farther away than it is because it is ______.
The motorcycle is likely to appear farther away than it actually is because it is smaller in size than your car. This phenomenon is known as the size-distance illusion, where our brains tend to perceive smaller objects as farther away, even if they are not. This is because our brain assumes that larger objects are closer and smaller objects are farther away.
Moreover, the visual angle of the motorcycle, which is the angle that the motorcycle subtends on your eye, is smaller than that of your car due to its smaller size. Hence, our brain interprets this smaller visual angle as an indication that the motorcycle is farther away than it actually is.
As a driver, it is crucial to be aware of this illusion and take necessary precautions while turning or changing lanes to avoid accidents with smaller vehicles such as motorcycles. One should always check their surroundings thoroughly and double-check before making a move.
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11. What kind of force did the levitating rings display? What does this say
about the magnetic domains of these objects? Record your evidence.
answer :
force is called the magnetic force of repulsion, and it happens when two magnets have the same poles (either both north or both south) and they push away from each other.
When all the domains in a material are aligned in the same direction, the material becomes strongly magnetized.
explanation :
magnetic domains in the rings were stable and strong enough to resist the force of gravity.
In the case of the levitating rings, the magnetic domains were aligned in such a way that they created a strong magnetic field, which allowed the rings to levitate in mid-air.
tiny regions within ferro magnetic material that have their own magnetic fields are called magnetic domains.
Magnetic domains in the rings refer to the tiny regions within the ring's ferro magnetic material that have their own magnetic fields.
A mercury manometer is connected to a container of gas. (a) The height of the mercury column on the side connected to the gas is 22.0 cm (measured from the bottom of the manometer). What is the height of the mercury column on the open side if the gauge pressure is measured to be 13.3 kPa? (b) If the gauge pressure of the gas doubles, what are the new heights of the two columns?
Answer:
(a) The height of the mercury on the open side if the gauge pressure is measured to be 13.3 kPa is 9.97395 cm
(b) When the gauge pressure is doubled;
The height of the mercury on the open side becomes 19.9479 cm
The height of the mercury on the side connected to the gas becomes 12.02605 cm
Explanation:
(a) The given parameters are;
The height of the mercury column on the side connected to the gas = 22.0 cm
The gauge pressure = 13.3 kPa
The gauge pressure is the pressure in the gas container relative to the atmospheric pressure, therefore, we have;
ΔP = P - P₀ = ρ × g × h
Where;
ΔP = The gauge pressure = P - P₀ = 13.3 kPa = 13,300 Pa
P₀ = The atmospheric pressure
P = The pressure of the gas in the container
ρ = The density of the mercury = 13593 kg/m³
g = The acceleration due to gravity = 9.81 m/s²
ΔP = ρ × g × h, by substitution gives
13,300 = 13593 × 9.81 × h
h = 13,300/(13593 × 9.81) ≈ 0.0997395 m = 9.97395 cm
The height of the mercury on the open side if the gauge pressure is measured to be 13.3 kPa is 9.97395 cm
(b) Given that the gauge pressure for the gas doubles, we have;
13,300 × 2 = 13593 × 9.81 × h
Therefore, h = 2 × 9.97395 = 19.9479 cm
The height of the mercury on the open side, h = 19.9479 cm
Therefore, the height of the mercury on the side connected to the gas becomes, 22 - 9.97395 = 12.02605 cm
Consider the vector field F(x, y) = (-2xy, x² ) and the region R bounded by y = 0 and y = x(2-x) (a) Compute the two-dimensional curl of the field. (b) Sketch the region (c) Evaluate BOTH integrals in Green's Theorem (Circulation Form) and verify that both computations match.
The two-dimensional curl of the vector field F(x, y) = (-2xy, x²) is computed to be 4x - 2. The region R bounded by y = 0 and y = x(2-x) is sketched as a triangular region in the xy-plane. By applying Green's Theorem in the circulation form, the integrals are evaluated and shown to be equal, confirming the consistency of the computations.
(a) To compute the two-dimensional curl of the vector field F(x, y) = (-2xy, x²), we need to find the partial derivatives of the components of the vector field and take their difference. The curl is given by the expression:
\(\[\nabla \times \textbf{F} = \left( \frac{\partial}{\partial x} (x^2) - \frac{\partial}{\partial y} (-2xy) \right) \textbf{i} + \left( \frac{\partial}{\partial y} (-2xy) - \frac{\partial}{\partial x} (x^2) \right) \textbf{j}\]\)
Simplifying this expression yields:
\(\[\nabla \times \textbf{F} = (0 - (-2x)) \textbf{i} + (4x - 0) \textbf{j} = 2x \textbf{i} + 4x \textbf{j} = \boxed{2x \textbf{i} + 4x \textbf{j}}\]\)
(b) The region R is bounded by the y-axis (y = 0) and the curve y = x(2-x). Sketching this region in the xy-plane, we find that it forms a triangular region with vertices at (0, 0), (1, 0), and (2, 0).
(c) Applying Green's Theorem in the circulation form, which states that the line integral of a vector field around a closed curve is equal to the double integral of the curl of the vector field over the region enclosed by the curve, we can evaluate both integrals. Let C be the boundary of the region R.
Using the circulation form of Green's Theorem, the line integral becomes:
\(\[\oint_C \textbf{F} \cdot d\textbf{r} = \iint_R (\nabla \times \textbf{F}) \cdot d\textbf{A}\]\)
The first integral is evaluated over the boundary curve C, and the second integral is evaluated over the region R. Substituting the given vector field and the computed curl, we have:
\(\[\oint_C \textbf{F} \cdot d\textbf{r} = \iint_R (2x \textbf{i} + 4x \textbf{j}) \cdot d\textbf{A}\]\)
Integrating this expression over the triangular region R will yield a specific result. By evaluating both integrals, it can be verified that they are equal, confirming the consistency of the computations.
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A satellite is in orbit 36000km above the surface of the earth. Its angular velocity is 7.27*10^-5 rad/s. What is the velocity of the satellite? (The radius of the earth is 6400km.)
Answer:
v = 3.08 km/s
Explanation:
Given that,
The angular velocity of the satellite = \(\omega=7.27\times 10^{-5} rad/s\)
A satellite is in orbit 36000km above the surface of the earth.
The radius of the earth is 6400 km
Let v is the velocity of the satellite. It can be calculated as :
\(v=r\omega\\\\v=(36000\times 10^3+6400\times 10^3)\times 7.27\times 10^{-5}\\\\v=3082.48\ m/s\\\\v=3.08\ km/s\)
So, the velocity of the satellite is 3.08 km/s.
A sports car and a minivan run out of gas and are pushed to the side of the road. Which is easier to push, and why?
the minivan, because it has more mass and therefore more inertia
the minivan, because it has less mass and therefore less inertia
the sports car, because it has more mass and therefore more inertia
the sports car, because it has less mass and therefore less inertia
Answer:
the last one
Explanation:
Just took the test
The sports car is easier to push because it has less mass and therefore less inertia.
What is mass and inertia?Inertial mass is the property of an object that determines how its motion changes when a force acts on it.
Inertia is the resistance of any physical object to a change in its velocity. This includes changes to the object's speed, or direction of motion. An aspect of this property is the tendency of objects to keep moving in a straight line at a constant speed when no forces act upon them.
The tendency of an object to resist changes in its state of motion varies with mass. Mass is that quantity that is solely dependent upon the inertia of an object. The more inertia that an object has, the more mass that it has. The amount of inertia an object has is determined by its mass. The mass of a substance or object is based on the number and density of atoms in it.
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A girl who is watching a plane fly tells her friend that the plane isn't moving at all. Describe a frame of reference in which the girl's description would be true.
The girl's reference frame must be moving with the same speed as the plane.
If an observer is stationary and he watches a car moving he can observe that the car has a momentum and is moving with certain speed. But if the observer is in the car or moving with same speed, the car does not appear to move away form the observer. Likewise, two observers moving with different speed will have different observation about the same car.
Similarly, if the girl describes the plane is not moving that means either she is in the plane or moving with the same speed along with the plane.
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A Ferris wheel with a radius of 15 m makes one complete rotation every 12 seconds. a) Using the fact that the distance traveled by a rider in one rotation is 2πr, the circumference of the wheel, find the speed with which the riders are moving. b) What is the magnitude of their centripetal acceleration? c) For a rider with a mass of 50 kg, what is the magnitude of the centripetal force required to keep that rider moving in a circle? Is the weight of the rider large enough to provide this centripetal force at the top of the cycle? d) What is the magnitude of the normal force exerted by the seat on the rider at the top of the cycle? e) What will happen if the Ferris wheel is going so fast that the weight of the rider is not sufficient to provide the centripetal force at the top of the cycle?
a) The distance traveled by a rider in one rotation is equal to the circumference of the Ferris wheel, which is given by the formula:
C = 2πr
where r is the radius of the Ferris wheel.
Substituting the given radius of 15 m into the equation, we have:
C = 2π(15) = 30π ≈ 94.25 m
Since one rotation occurs every 12 seconds, we can calculate the speed as the distance traveled divided by the time taken:
Speed = Distance / Time = 94.25 m / 12 s ≈ 7.854 m/s
Therefore, the speed at which the riders are moving is approximately 7.854 m/s.
b) The magnitude of centripetal acceleration can be calculated using the formula:
ac = v² / r
where v is the speed and r is the radius of the circular path.
Substituting the values, we get:
ac = (7.854 m/s)² / 15 m ≈ 4.07 m/s²
Therefore, the magnitude of the centripetal acceleration is approximately 4.07 m/s².
c) The magnitude of the centripetal force required to keep the rider moving in a circle can be calculated using the formula:
Fc = m * ac
where m is the mass of the rider and ac is the centripetal acceleration.
Substituting the given mass of 50 kg and the calculated centripetal acceleration of 4.07 m/s², we get:
Fc = (50 kg) * (4.07 m/s²) ≈ 203.5 N
The weight of the rider, which is the force due to gravity acting on the rider, can be calculated as:
Weight = m * g
where g is the acceleration due to gravity (approximately 9.8 m/s²).
Weight = (50 kg) * (9.8 m/s²) = 490 N
Comparing the centripetal force required (203.5 N) to the weight of the rider (490 N), we can see that the weight of the rider is larger than the centripetal force required. Therefore, the weight of the rider is sufficient to provide the centripetal force at the top of the cycle.
d) At the top of the cycle, the normal force exerted by the seat on the rider is equal in magnitude and opposite in direction to the weight of the rider. So, the magnitude of the normal force is 490 N.
e) If the Ferris wheel is going so fast that the weight of the rider is not sufficient to provide the centripetal force at the top of the cycle, the rider will experience a net upward force.
As a result, the rider will feel lighter and may even lose contact with the seat. This can lead to a dangerous situation, as the rider may be thrown off the Ferris wheel.
Therefore, it is essential for the centripetal force to be provided by a combination of the rider's weight and the normal force exerted by the seat.
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An open system starts with 52 J of mechanical energy. The energy changes
to 45 J of mechanical energy and 2 J of thermal energy. What is the final total
energy of the system?
A. 50 J
B. 54 J
C. 47 J
O D. 9 J
Answer:
ITS C 47
Explanation:
each of the following is a form of energy except one, which one is the exception?
a. heat
b. water
c. light
d. x-radiation
b. water
Heat is a form of energy that is transferred from one body to another as a result of a difference in temperature. This transfer of thermal energy can occur through conduction, convection, and radiation. Correct option is A.
Water, on the other hand, is not a form of energy, but it is a crucial component in many energy-producing processes. For example, water is used in hydropower generation to generate electricity.
Light is a form of electromagnetic radiation that is visible to the human eye. Light energy travels in waves and can be harnessed for various purposes, such as lighting and solar power generation.
X-radiation, also known as X-rays, is a form of high-energy electromagnetic radiation. X-rays are used in medical imaging to produce images of bones and other internal structures of the body. X-rays are also used in scientific research and in industrial applications, such as material testing and inspection.
In conclusion, heat, light, and x-radiation are all forms of energy, while water is not a form of energy, but it is a necessary component in many energy-producing processes.
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The maximum pressure most organisms can survive is about 1000 times the atmospheric pressure. Only small, simple organisms such as bacteria can survive such high pressures. What then is the maximum depth at which these organisms can live under the sea (assuming that the density of seawater is 1025 kg/m3)
Answer:
h = 10000 m
Explanation:
The pressure applied at a depth of the liquid is given by:
P =ρgh
where,
P = Maximum Pressure to Survive = (1000)(Atmospheric Pressure)
P = (1000)(101325 Pa) = 1.01 x 10⁸ Pa
ρ = Density of sea water = 1025 kg/m³
g = 9.8 m/s²
h = maximum depth to survive = ?
Therefore,
1.01 x 10⁸ Pa = (1025 kg/m³)(9.8 m/s²)h
h = (1.01 x 10⁸ Pa)/(1025 kg/m³)(9.8 m/s²)
h = 10000 m
what does it mean to say that a beam of light is polarized? the beam has a magnetic field, but no electric field. the beam itself is charged, carrying either positive or negative charge. the direction of the beam's electric field alternates between two possibilities. the beam has an electric field, but no magnetic field.
Plane polarized light consists of waves that has magnetic field in which the direction of vibration is the same for all waves.
Polarization, in Physics, is defined as a phenomenon caused due to the wave nature of electromagnetic radiation.Sunlight travels through the vacuum to reach the Earth, which is an example of an electromagnetic wave. These waves are called electromagnetic waves because they form when an electric field interacts with a magnetic field.Light is the interaction of electric and magnetic fields travelling through space. The electric and magnetic vibrations of a light wave occur perpendicularly to each other. The electric field moves in one direction and the magnetic field in another ‘perpendicular to each other. So, we have one plane occupied by an electric field, another plane of the magnetic field perpendicular to it, and the direction of travel is perpendicular to both.Plane polarized light consists of waves in which the direction of vibration is the same for all waves.The process of transforming unpolarized light into polarized light is known as polarization.
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If you wanted to know how long
it would take you to get to the store and back, which would be more
useful, average speed or average velocity? Explain why.
The average velocity will be more useful if you wanted to know how long it would take you to get to a store and come back.
What are Average Speed and Average velocity?The overall distance the object covers in a given amount of time is its average speed. The scalar quantity represents the average speed. It does not have direction; it is represented by magnitude.
Average Speed=\(\frac{total distance}{total time}\)
Average velocity is a vector quantity. The change in position or displacement divided by the time periods during which the displacement happens is known as average velocity. Depending on how the displacement is displaced, the average velocity may be positive or negative. Meters per second (m/s), the SI unit of average velocity, is used.
Average Velocity=\(\frac{Total displacement}{Total time}\)
So, in average speed no particular direction is given there can be multiple ways to go to the store and come back so average speed can be different every time.
But in case of average velocity there must be particular shortest route that is known as displacement and that would give an accurate time to go to the store and come back
Hence, average velocity is more useful as compared to average speed.
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Convert 130 pounds (lbs) to kilograms (kg) where 2.2 lbs = 1 kg. Round to the nearest whole
number
Formula: pounds/2.2 = kg
Answer:
That is 59 kg.Explanation:
You have the formula, so I dont think I have to explain, but just do 130 divided by 2.2 and you'll get 59
Both pound and kilograms are units of mass of a substance. One pound is 0.453 Kg. Then 130 pounds is equal to 58.89 kilograms.
What is mass?Mass is a physical quantity measuring the overall amount of a substance or an object. The mass can be mathematically said as the volume times density.
Mass of substances vary very much with their volume and how closely their particles are packed. There are several units for mass. The SI unit of mass is gram (g). Other units are kg, pound, tone etc.
Pound is one unit of mass from imperial unit system. Abbreviated as lb.
one pound = 0.453 Kg
then 130 pounds = 0.453 × 130 = 58.89 kg.
Therefore, the weight in kg for 130 pound of an object is 58.89 kg.
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What does kinetic energy do when it go up a hill?what do potential energy do when it does up a hill?
Answer:
Kinetic energy decreases as you go up hill
Potential energy increases as you go up hill
you kick a soccer ball, delivering an impulse of 23 kg • m/s. if the force you exert on the ball lasts for 0.25s, what is the magnitude of the force
Answer:0.25s
Explanation:
You kick a soccer ball,delivering an impulse of 23 m/s. If the force you exert on the ball lasts for 0.25s.
A cannon is fired with an initial horizontal velocity of 20 m/s and initial vertical velocity of 25 m/s. After 3s in the air, the canon hits it’s target. How far away(in meters) was the canon from its target? Answer:_____m
Answer:
60 m
Explanation:
After 3 seconds of travel at 20 m/s, the projectile is 3·20 = 60 meters horizontally from the cannon.
__
The vertical height after 3 seconds is 0.9 m, so the straight-line distance from cannon to target is √(60^2 +0.9^2) ≈ 60.007 meters.
What’s the main idea of this paragraph in one sentence?
Answer:
All forces are either balanced or unbalanced and each force acts in different ways.