Answer:
the inertia of an object
An arrow is fired from a bow horizontally and lands 54.3 meters away. The arrow was 9.5 meters high off the ground when it was fired.
Assuming that acceleration due to gravity is 9.8 m/s2, what was the velocity (v) of the arrow when it left the bow?
The horizontal velocity (v) of the arrow when it left the bow is 39.1 m/s.
What is time of motion?The time of motion of an object is the time taken for the object to travel from its initial position to the final position.
The time taken for the arrow to travel down the given height is calculated as follows;
h = vt + ¹/₂gt²
where;
v is the initial vertical velocity of the arrow = 0g is acceleration due to gravityt is the time of motion of the arrowh is height of fallh = ¹/₂gt²
2h = gt²
t² = 2h/g
t = √(2h/g)
t = √(2 x 9.5 / 9.8)
t = 1.39 seconds
The velocity (v) of the arrow when it left the bow is calculated as follows;
X = Vₓt
where;
X is the horizontal distance of the arrowVₓ is horizontal speed of the arrow as it left the bowt is the time of motionVₓ = X/t
Vₓ = (54.3 m) / (1.39 s)
Vₓ = 39.1 m/s
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A dropped object reaches 41.65m/s in its fall. How long did it take to reach this speed?
With the use of formulas, it will take time 4.25 seconds for the object to reach the speed 41.65 m/s when dropped.
What is Speed ?Speed is the distance travelled per time taken. It is a scalar quantity and it is measured in m/s
If an object is dropped and reached 41.65 m/s in its fall, Let us first know the height at which it was dropped by using the formula
v² = u² + 2as
Since the object was dropped, u = 0
41.65² = 0 + 2 × 9.8 × H
1734.72 = 19.6H
H = 1734.72/19.6
H = 88.51 m
To know how long it takes to reach this speed, let us use this formula
H = ut + 1/2gt²
where u = 0
88.51 = 1/2 × 9.8 × t²
88.51 = 4.9t²
t² = 88.51/4.9
t² = 18.06
t = √18.06
t = 4.25 s
Therefore, it takes 4.25 seconds of time to reach this speed.
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A hot air balloonist puts 125,000 Liters of air into their balloon at 27 °C and atmospheric pressure. When they heat the air to 200 °C at constant pressure, what is the final volume of the air in the balloon?
The final volume of the balloon is 197,083 L.
They are proportional to each other if the pressure does not change. However, there are pitfalls. To perform calculations we have to use the so-called absolute temperature. Increased external air pressure compresses the balloon.
Using equation;
PV =nRT
here constants are P,n, R
so the relation between P and T is
V₁ /T₁= V₂/T₂
V₂ = (V₁ /T₁)×T₂
= (125,000/300)×473
= 197,083 L.
As the volume of the balloon decreases the pressure inside the balloon increases. After all external air pressure can compensate. It becomes a balloon filled with dense cold air. According to Boyle's law, the volume of a gas of constant mass at constant temperature is inversely proportional to its pressure. The air around you has weight and pushes away everything it touches. This pressure is called atmospheric pressure or barometric pressure. This is the force exerted on a surface by the air above as gravity pulls the surface toward the Earth.
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an automobile differential with a mass of 76.0 kg is 1.00 m from the end of a 2.22 m workbench. what mass, in kg, must each end of the workbench support?
Here, we have a workbench whose entire length is 2.2 meters, together with the weight of the car differential. The mass is supported by the left and always will be, hence 409.3 divided by 9.8 kg equals one divided by G.
We now have 76.0 kilos of cramp. Additionally, the left end of this workbench has been kept one meter away from the auto differential. Therefore, this or conversation difference will have a weight of 76 in two gravitational acceleration. where G is the gravitational acceleration.
We must determine the weight that is supported by the two ends of this workbench at a distance of 1.0 meters.
The entire upward forces, which represent and one placenta, should be equal to the downward forces, which represent the weight of that Auto differential, which is 76 into 9.8 newtons, if these words are and one an end to first utilizing translational equilibrium for this workbench. And the result will be 744 8 Northern.
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a piston–cylinder device, whose piston is resting on a set of stops, initially contains 6 kg of air at 200 kpa and 27°c. the mass of the piston is such that a pressure of 400kpa is required to move it. heat is now transferred to the air until its volume doubles. the gas constant of air is r
By using internal energy, the heat transferred to the air until its volume doubles is 5570.69 joule.
We need to know about internal energy to solve this problem. For a closed system, with matter transfer excluded, the changes in internal energy are due to heat transfer and due to thermodynamic work done by the system on its surroundings. It can be determined as
ΔU = Q - W
where ΔU is the change in internal energy, Q is heat transferred and W is work done.
From the question above, we know that
m = 6 kg
P1 = 200 kPa
T1 = 298 K
P2 = 400 KPa
The internal energy should be
ΔU = Q - W
m(U2 - U1) = Q2 - W2
at the second state the work is zero
m(U2 - U1) = Q2
Assume constant specific heats
Q2 = m . Cv (T2 - T1)
Using the ideal gas
P1/T1 = P2/T2
200/298 = 400/T2
T2 = 596 K
Q2 = m . C . (T2-T1)
Q2 = 6 . 3.1156 . (596-298)
Q2 = 5570.69 joule
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Please solve for the tension force {F=ma
The tension force of the system is 395 N.
The acceleration of the system is 3.95 m/s².
What is the net force on the system?
The net force on the system is obtained by applying Newton's second law of motion as follows;
Net vertical force on the masses;
Fu = m₁g cosθ + m₂g
where;
m₁ is first massm₂ is second massg is acceleration due to gravityFu = (100 kg x 9.8 m/s²) cos(25) + (100 kg x 9.8 m/s²)
Fu = 1,868.2 N
Apply the formula for Newton's second law of motion,
m₂a - Ff = -m₁a
where;
F is the tension forceFf is the frictional forcea is the acceleration of first massm is the mass of the systemm₂a + m₁a = Ff
a(m₂ + m₁) = Fu sinθ
a = Fu sinθ / (m₂ + m₁)
a = (1868.2 x sin25) / (100 + 100)
a = 3.95 m/s²
The tension force is calculated as follows;
F(tens) = m₂a
F(tens) = 100 kg x 3.95 m/s² = 395 N
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What is the torque experienced by a magnetic dipole moment m placed
with its axis at angle theta with a uniform magnetic field B?
The torque experienced by a magnetic dipole moment M placed with its axis at angle theta with a uniform magnetic field B is τ = MB sin θ
Torque = Force * Perpendicular distance
F = m * B
F = Force
m = Magnetic pole strength
B = Magnetic field
τ = Torque
τ = m * B * 2 * l * sin θ
Magnetic dipole moment, M = 2 * m * l
τ = ( 2 * m * l ) * B * sin θ
τ = M B sin θ
Therefore, the torque experienced by a magnetic dipole moment M placed with its axis at angle theta with a uniform magnetic field B is τ = MB sin θ
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Earth's mass is approximately 80 times the moon's mass. The centers of Earth and the moon are 384,000,000 meters apart. Earth exerts a gravitational force of 1.99x10²⁰ newtons on the moon. What is the magnitude of the gravitational force the moon exerts on Earth?
The magnitude of the gravitational force the moon exerts on Earth if Earth exerts a gravitational force of 1.99 x 10²⁰ newtons on the moon is 1.99 x 10²⁰ N
F = G m1 m2 / r²
F = Gravitational force of attraction
m1 = Mass of Earth
m2 = Mass of moon
r = Distance between moon and Earth
In this equation all the mentioned variables are constant for both gravitational force exerted by moon on Earth and by Earth on moon. So the value will be equal for both.
The equation mentioned above is the result of Newton's law of gravitation. This law states that any object in the universe attracts another object with a force which is directly proportional to product of both the masses and inversely proportional to the squared value of distance between them.
Therefore, the magnitude of the gravitational force the moon exerts on Earth is 1.99 x 10²⁰ N.
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The two concepts or issues that you chose and explain how each either has contributed to or detracted from social change, specifically in the form of racial and ethnic equality.
Racial equality directed to a scenario in which individuals of all races and ethnicities exists treated equally, regardless of any differences in physical characteristics.
What is meant by racial equality?Racial equality occurs when organizations, like schools, give people of all races equal chances regardless of their physical characteristics, such skin color. It has always been difficult for ethnic minorities to achieve equality, especially in educational institutions.
According to research, black pupils face fewer expectations from their teachers and are more likely to be suspended or expelled than white students. They are also less likely to be enrolled in gifted programs.
The term "racial equality" describes a situation in which people of all races and ethnicities are treated equally, regardless of any physical distinctions. Racial equality occurs when institutions uphold people's moral, legal, and political rights.
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Does the law of conservation of energy apply to open systems? Explain.
No, law of conservation of energy is not applicable to open systems.
Law of conservation of energy states that energy present anywhere can neither be created nor be destroyed by any means, it can only be converted from one form of energy to other form of energy. It means total energy of an isolated system remains same.
An open system is a system that can exchange energy and matter from the surroundings. The flow of energy takes places in an open system. Therefore, the law of conservation does not apply to an open system as it can lose or gain energy, hence its total energy will not be constant and will violate law of conservation of energy.
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a particle is moving along the curve . as the particle passes through the point , its -coordinate increases at a rate of units per second. find the rate of change of the distance from the particle to the origin at this instant.
When the coordinate increases at a rate of units per second, the rate of change of the distance from the particle to the origin at this instant would be 0.3 units per second.
What is a coordinate and how it increases at units per second?Coordinate is the system in Mathematics in which different points or position is connected or other geometric elements on the manifold.By using coordinate phenomena, we may also find points on Earth.When a particle moves along the curve its coordinate increases at a rate of units per second, its rate increases.The distance from the particle to the origin at this instant will increase at 0.3 units per second.We use coordinates in geography too to determine the location coordinates in specific regions.To know more about the coordinates visit:
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Calculate the speed of a car that has traveled 300 miles in 6 hours.
Answer:
D= 300 miles
t= 6 hours
Speed = [tex]\frac{300}{6}[/tex] = 50 miles/h
The speed of the car is 50miles/h.
[tex]\frac{50}{3}[/tex] * 5 km/h
= 83.34 km/h
The speed of the car is 83.34 km/h.
Explanation: The answer has been given in both miles per hour and kilometer per hour.
Determine how many helium-filled balloons will be needed to lift a person whose mass is 70 kg. the air density is pair = 1.20 kg/m3 , the helium density is phe = 0.17 kg/m3, and the balloon's volume is vm = 30 liters.
2265 helium-filled balloons will be needed to lift a person whose mass is 70 kg.
Bouyancy, also known as upthrust, is an upward force applied by a fluid against the weight of an object that is partially or completely submerged. According to Achimede's principle, a force acts in opposition to an object's weight; if the force is higher than the object's weight, the object will float, but if the force is less than the object's weight, the object will sink. As a result, the helium balloon's weight must be more than the man's weight in order to lift him.
Vm = 30L
Mass = 70kg
Air density = 1.20kg/m^3
Helium density = 0.17kg/m^3
Overall density = Air density - Helium density
= 1.20 - 0.17
= 1.03kg/m^3
Convert the overall density to kg/liter
1.03/1000
0.00103kg/liter
Force on balloon
F = Overall density × vm
= 0.00103 × 30
= 0.0309kgf
Number of ballons is
70kgf/ 0.0309kgf
= 2265.37 ballons
=2265 ballons
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As a scientist, you find an gold rock in the desert that has a
density of 19.3 g/cm³. After using a triple balance, you find
the gold rock consist of 312,000 mg. If the gold rock was
melted and put in liquid form, what would its volume
be?SHOW YOUR WORK
I don’t know how to solve this
The volume of the gold found by the scientist whose density and mass is given in the question is 16.26 cm³.
What is density?
Density describes how compact or concentrated something is. Suppose you have two boxes, one is large and other one is small. However, their weight is same. That means the small box has a higher density as compared to the large box.
As given in the question,
The density of the gold rock is 19.3 g/cm³.
and the mass calculated is 312,000 mg which is equal to 312 g.
The equation for density is:
[tex]Density = \frac{mass}{volume}[/tex]
Putting the value from the question,
312/19.3 = volume
volume = 16.16 cm³.
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if the astronaut throws the tool with a force of 16.0 n , what is the magnitude of the acceleration a of the astronaut during the throw? assume that the total mass of the astronaut after she throws the tool is 80.0 kg .
The magnitude of the acceleration a of the astronaut during the throw is 0.2 m/s².
What is astronaut?
An astronaut is a person who has been prepared, outfitted, and sent into space as part of a human spaceflight program to serve as a commander or crew member. The phrase is occasionally used to refer to anyone who travels into space, including scientists, politicians, journalists, and tourists, despite the fact that it is typically designated for professional space travelers.
According to Newton's second law, an object's acceleration is inversely proportional to its mass and proportional to both the resulting force and the resultant force.
∑F = m. a
where, F = force, m = mass, a = acceleration of astronaut.
As per the information given in the question,
F = 16 N
M = 80 kg
putting these value in the equation,
16 = 80a
a = 16/80
a = 0.2 m/s²
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Which wavelength, of electromagnetic radiation has the highest energy?
5.9x10^-3 m
O2.45x10^8 m
4.29x10^3 m
8.1x10^-8 m
The characteristics of electromagnetic radiation include amplitude (brightness), wavelength, frequency, and period. We have shown that the frequency of a light wave is proportional to its energy by the equation E = h v or E=hnu
so
Radiation with a wavelength of 8.1 X 10^-8 m has the highest energy
Why is it called electromagnetic?When a charged particle, like an electron, changes its velocity—that is, when it is accelerated or decelerated—electromagnetic radiation is created. The charged particle is responsible for losing the energy of the electromagnetic radiation that is thus created.Since the electric and magnetic fields are oscillating, the waves of energy are known as electromagnetic (EM). They are categorized by scientists based on their frequency or wavelength, from high frequency to low frequency (short to long wavelength).The characteristics of electromagnetic radiation include amplitude (brightness), wavelength, frequency, and period. We have shown that the frequency of a light wave is proportional to its energy by the equation E = h v or E=hnuTo learn more about : Electromagnetic radiation
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During nearly every Seahawks game Russell Wilson struggles to find an open receiver and opts to run the ball to the 1st down line.
If the ball is snapped to him on the 20 yard line and he jumps back 7 yards to find a receiver before running to the 50 yard line before being tackled, all during a 10 second play, what was his velocity during this time?
Answer in yards per second. Answer to the nearest whole number.
From the description of the problem, the total velocity is obtained as 3.7 yards/ second.
What is the velocity?The term velocity is the ratio of the distance to the time taken. Let us note that in this case we are being asked for the average velocity of the ball and that is what we shall set to do after a consideration of the problem.
We are told that the ball is snapped to him on the 20 yard line and he jumps back 7 yards to find a receiver before running to the 50 yard line before being tackled, all during a 10 second play.
We can see that the total distance that has been covered by the ball is 7 yards + 30 yards = 37 yards and the time that has been taken is 10 seconds.
Thus velocity = distance / time = 37 yards /10 seconds
= 3.7 yards/ second
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what can you say about the specific heats of a and b? what can you say about the specific heats of a and b? the specific heat of the object a is greater than the specific heat of the object b. the specific heat of the object b is greater than the specific heat of the object a. the specific heats of both the objects are approximately the same. the information given is insufficient to compare the specific heats of the objects.
The information given is insufficient to compare the specific heat of the objects.
The specific heat capacity, commonly known as the specific heat capacity or cp in thermodynamics, is the product of the heat capacity of a sample of a substance and its mass. Informally, it is the quantity of heat that has to be added to a substance's mass in order to raise its temperature by a given amount. J kg 1 K, or specific heat capacity, is the SI unit for temperature. The specific heat capacity of water, for instance, is 4184 J kg 1 K1, or the amount of energy needed to elevate 1 kilogram of water by 1 K in temperature.
For each state of matter, specific heat capacity differs and frequently fluctuates with temperature.
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A fridge uses about 200 watts of power. This means that the fridge uses 200 joules per second of energy. If managed to turn 1 g of matter into energy, according to Einstein's equation E = mc², how long would I be able to power my fridge with that energy?
Answer:
Approximately [tex]4.50 \times 10^{11}\; {\rm s}[/tex].
Explanation:
The speed of light is [tex]c \approx 3.00\times 10^{8}\; {\rm m\cdot s^{-1}}[/tex].
Note that the standard unit of energy, joule, is a derived unit. In terms of the standard base units:
[tex]\begin{aligned}1\; {\rm J} &= (1\; {\rm N})\, (1\; {\rm m}) \\ &= (1\; {\rm kg \cdot m \cdot s^{-2}})\, (1\; {\rm m}) \\ &= 1\; {\rm kg \cdot m^{2} \cdot s^{-2}} \end{aligned}[/tex].
Apply unit conversion and ensure that the unit of mass is in the standard unit kilogram ([tex]{\rm kg}[/tex]):
[tex]\begin{aligned} m &= 1\; {\rm g} \times \frac{1\; {\rm kg}}{10^{3}\; {\rm g}} &= 10^{-3}\; {\rm kg}\end{aligned}[/tex].
Apply the equation [tex]E = m\, c^{2}[/tex] to find the energy equivalent to [tex]m = 10^{-3}\; {\rm kg}[/tex] of matter:
[tex]\begin{aligned}E &= m\, c^{2} \\ &= (10^{-3}\; {\rm kg})\, (3.00 \times 10^{8}\; {\rm m\cdot s^{-1}})^{2} \\ &= 9.00\times 10^{13}\; {\rm kg \cdot m^{2} \cdot s^{-2}} \\ &= 9.00\times 10^{13}\; {\rm J} \end{aligned}[/tex].
Divide energy [tex]E[/tex] by power [tex]P[/tex] to find the duration [tex]t[/tex] of the power consumption:
[tex]\begin{aligned} t &= \frac{E}{P} \\ &\approx \frac{9.00 \times 10^{13}\; {\rm J}}{200\; {\rm J \cdot s^{-1}}} \\ &= 4.50 \times 10^{11}\; {\rm s}\end{aligned}[/tex].
In other words, the energy equivalent to [tex]1\; {\rm g}[/tex] of matter could power this fridge for approximately [tex]4.50 \times 10^{11}\; {\rm s}[/tex].
If a box is being pushed 50-N to the left, what would the reaction force be
The reaction force of the box will be 50 N in opposite direction.
What is Newton's third law of motion?
Newton's third law of motion states that for every action there is equal and opposite reaction.
According to this law, the force exerted on an object is equal to the reaction experienced by the object.
The applied force is equal in magnitude but opposite in direction to the reaction of the impact.
Mathematically, this law can be illustrated as follows;
Fa = -Fbb
where;
Fa is the applied forceFb is the reaction experiencedThus, we can conclude that if a box is pushed to the left by a certain force, the reaction force will be equal in magnitude to the applied force but opposite in direction.
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What occurs when the velocity of Earth is doubled?
a. The orbit of Earth around the Sun becomes smaller
c. The Earth escapes the Sun
b. The orbit of Earth does not change
d. The orbit becomes more elliptical
couldnt comment on anyone elses/add answers so to anyone looking for it, THE ANSWER IS C - THE EARTH ESCAPES THE SUN!!!!
When the velocity of Earth is doubled, the orbit of Earth around the Sun becomes smaller ( A ).
v = √ G M / r
v = Orbital velocity
G = Gravitational constant
M = Mass of the celestial body
r = Radius of the celestial body
Rearranging for r,
√ r = √ ( G M ) / v
Squaring on both sides,
r = G M / v²
If the velocity of Earth is doubled,
v' = 2v
r' = G M / v'²
r' = G M / ( 2 v )²
r' = G M / 4 v²
r' = r / 4
So the radius of orbit of Earth becomes one-fourth its initial radius.
Therefore, when the velocity of Earth is doubled, the orbit of Earth around the Sun becomes smaller ( A ).
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A child sits on the floor and twirls a 0. 100 kg ball connected to a 1. 0 m string in a horizontal circle along the floor with a speed of 2. 0 m/s. What forces are acting on the ball?.
The correct response that shows the forces that act on the ball is "all of the above."
What force acts on the ball?Let us recall that a force is that which is able to impart acceleration to a body and also to change the direction of the object. We also have to know that from the Newton's law, force must always be able to produce an acceleration in an object.
As the child is sitting on the floor and is twirling the ball round the circle there are three forces that acts on the ball and all these force are given as;
1) Tension force
2) Gravitational force
3) Normal force
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the acceleration due to gravity on the moon is about one- sixth what it is on earth. if an object is thrown vertically upward on the moon, how many times higher will it go than it would on earth, assuming the same initial velocity?
If thrown with the same initial speed, the object will go six times higher on the Moon than Earth.
What exactly is velocity ?Velocity is the pace and direction of an object's movement, whereas speed is the timekeeping at which an object is travelling along a path. In those other words, velocity is a vector, whereas speed is a scalar quantity.
What defines how velocity changes over time?Any time an object moving in a horizontal path experiences an acceleration, it is either speeding up, slowing, or spinning around because acceleration is described as any change in velocity over time.
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the 0.5???????? collar c starts from rest at ???? and slides with negligible friction on the fixed rod in the vertical plane. determine the velocity ???? with which the collar strikes end ???? when acted upon by the 5 ???? force, which is constant in direction. neglect the small dimensions of the collar.
The velocity with which the collar strikes end B is 2.32 m/s.
How to calculate the work done by external forces on a body?
We conclude from the work energy theorem that any work performed on a body results in a change in total energy.
Given, mass of the collar = m = 0.5 kg
Therefore, effective weight of the collar = m*g = (0.5)*(9.81) = 4.905 N
Force acting on the collar = 5 N
We know, work done by external forces equates to the change in kinetic energy of the body.
Thus, ΔU = T ⇒ 0.5 * 0.5 * (v²-0) = 0.2[5 cos(30°) - 5 sin(30°) + 4.905)
⇒ v² = 5.39 m²/s² ⇒ v = 2.32 m/s.
Therefore, the velocity with which the collar strikes end B when acted upon by the 5N force is 2.32 m/s.
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on land, coal is transported primarily by train. a typical large coal train maybe about a mile long and may consist of 120 cars, each holding 110 tons of coal. as each ton of coal has an equivalent energy content (in terms of the stored chemical energy it contains), a moving coal train represents a flow of (chemical) energy or power. for a coal train traveling at 60 mph, calculate the equivalent power in watts. one ton of coal has an energy content of 2.8×10^10 j. use the letter e for exponent; for example, 3x10^8 should be written as 3e18.
The equivalent power of coal transported in a mile long train containing 120 cars, each holding 110 tons of coal travelling at 60 mph is 6.04 * 10e12 J
P = E / t
P = Power
E = Energy
t = Time
Distance of train = 1 mile
Number of cars in the train = 120
Tons of coal in 1 car = 110 tons
Velocity of train = 60 mph
Energy of one ton coal = 2.8×10e10 J
Total coal = 120 * 110
Total coal = 13200 tons
Total energy of coal = 13200 * 2.8×10e10
Total energy of coal = 369.6 * 10e12 J
v = d / t
v = Velocity
d = Distance
t = Time
t = d / v
t = 1 / 60
t = 0.017 h
t = 61.2 s
P = ( 369.6 * 10e12 ) / 61.2
P = 6.04 * 10e12 J
P = 6.04 pJ
Therefore, the equivalent power of coal is 6.04 * 10e12 J
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a screw is a heavy-duty cylinder with a screw mechanism in it that is turned by a lever to multiply its mechanical advantage hundreds of times.
A jack is a heavy-duty cylinder with a screw mechanism.
What is a mechanical advantage of simple machine?The mechanical advantage is the number of times a machine multiplies the effort force. The longer the distance over which the effort force is applied, the greater the mechanical advantage of the machine.
Friction is the force that resists motion when the surface of one object comes into contact with the surface of another.
The common principle of all screws is that a rotating helix can cause linear motion.
In a third-class lever, the effort force lies between the resistance force and the fulcrum. Some kinds of garden tools are examples of third-class levers.
for example, a pair of tweezers, a hammer, or the jaw. The arm of effort is smaller than the arm of the load.
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A hockey puck slides across the ice at a constant velocity. Is it in equilibrium? Why or why not? Select ALL the answers that are true.
A hockey puck slides across the ice at a constant velocity. Is it in equilibrium? Why or why not? Select ALL the answers that are true.
Yes, it is in equilibrium.
There is no net force acting on it because there is no acceleration.
There is a net force acting on it because it's moving with a constant velocity.
No, it's not in equilibrium.
Answer:
The first two answers are true.
Since F = M a and there is no acceleration there is no net force acting on the puck.
a scale used to weigh fish consists of a spring hung from a support. the spring's equilibrium length is 10.0 cm. when a 4.0 kg fish is suspended from the end of the spring, it stretches to a length of 13.4 cm.
The spring constant approximately is 1153 N/m.
When an 8 kg fish is suspended in the spring, its new length is 16.8 cm.
How to find the spring constant?
The details provided are
The spring's length is 10.0 cm (L1).
Fish mass, m = 4 kg
L2, the spring's final length, is 13.4 cm
The spring's extension is determined by the formula:
x = L2 - L1 x = 13.4 cm - 10.0 cm x = 3.4 cm
The following formula is used to get the spring's spring constant;
F = kx
mg = kx
k = mg/x = 4 * 9.8/0.034 = 1,152.94M/m
The new spring extension when an 8 kg fish is hung on it;
x = mg/k = 8 * 9.8/1152.94 = 0.068m = 6.8cm
6.8 cm + 10 cm = 16.8 cm is the spring's new length.
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a 2,300-kg pile driver is used to drive a steel i-beam into the ground. the pile driver falls 4.80 m before coming into contact with the top of the beam, and it drives the beam 15.2 cm farther into the ground as it comes to rest. using energy considerations, calculate the average force the beam exerts on the pile driver while the pile driver is brought to rest.
The term "force" also refers to the effect that occurs when the body is moved from its position or is distorted. Force can be defined as the drive or pull of an item. We applied force to a wall, for example, but it did not move or change shape. even though we cannot see the distortion in a wall because it is a rigid body, there is still an exertion of force in actual practice.
Force
A force in pharmaceuticals is an influence that can alter how an object stirs. An object having mass can modify its speed—that is, accelerate—by being subjected to a force. Intimate synonyms for force include drive and pull. A force is a vector volume because it has both magnitude and direction. It is expressed as a newton in the SI system ( N). Force is denoted by the letter F. ( formerly P).
The net force acting on an item is equal to the rate at which its instigation changes with time, according to the original formulation of Newton's alternative law.
This rule, however, suggests that an item's acceleration is directly proportional to the net force acting on the object.
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A toy car with a mass of 2 kg is at rest. a horizontal force is applied to the trolley and it starts to move in the direction of the applied force at 4m * s ^ - 1 calculate the kinetic energy of the toy car after it has experienced this force
The kinetic energy of the toy car after it has experienced the force is: 16 Joules
The kinetic energy formula and the procedure we will use is:
K.E. = 1/2 * m * v²
Where:
v = speedm = massJoules = Kg m²*s²Information of the problem:
v = 4 m/sm = 2 kgApplying kinetic energy formula we get:
K.E. = 1/2 * m * v²
K.E. = 1/2 * 2 kg (4 m/s)²
K.E. = 1/2 * 2 kg * 16 m²/s²
K.E. = 1/2 * 32 kg *m²/s²
K.E. = 16 kg*m²/s²
K.E. = 16 Joules
What is kinetic energy?It is the energy possessed by a body due to its relative motion. It is usually expressed in Joules (J).
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