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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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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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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If the output work is 500 J and the input work is 380 J, what is the machine efficiency?
If the output work is 500 J and the input work is 380 J, then the machine efficiency can be calculated as 130 % as per the efficiency formula.
How do you determine a machine’s efficiency?Divide the output work by the input work to get a machine’s efficiency, then multiply the result by 100%.
Efficiency is equal to output times 100%.
How is energy efficiency calculated?You may determine the efficiency by figuring out what proportion of the energy input results in the desired output: Efficiency is defined as EnergyOut/EnergyIn 100%.
What is an example of energy efficiency?Utilizing less energy to deliver an energy service is referred to as energy efficiency. LED light bulbs, for instance, use between 75 and 80 percent less electricity to generate the same amount of light as incandescent bulbs.
According to efficiency formula we know
Efficiency = [tex]\frac{580}{380}[/tex] * 100 = 130%
But technically this is not possible as no engine has efficiency greater than Carnot engine i.e., 100%
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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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URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS
Mariana conducted an experiment where she burned a 5 g strip of magnesium metal in an open flame. The result was a 3.5g white ash collected in a crucible, a bright white flame, and smoke. Was the law of conservation of matter upheld in Mariana's experiment?
A. no, because mass decreased after the magnesium was burned
B. yes, because the missing mass was trapped by the closed system
C. yes, because the missing mass was released as smoke
D. no, because the magnesium was burned so mass was not lost
Answer:
B, Yes
Explanation:
Since the 5g of magnesium became 3.5g and white fire and smoke, it still has the same mass. It is just in a different form.
Yes, the law of conservation of matter was upheld in Mariana's experiment because the missing mass was released as smoke, therefore the correct answer is option C.
What is the matter?Anything which has mass and occupies space is known as matter, mainly there are four states of matter solid liquid gas, and plasma.
These different states of matter have different characteristics according to which they vary their volume and shape.
As given in the problem Mariana conducted an experiment where she burned a 5 g strip of magnesium metal in an open flame. The result was a 3.5g white ash collected in a crucible, a bright white flame, and smoke.
Yes, the law of conservation of matter was upheld in Mariana's experiment because the missing mass was released as smoke, therefore the correct answer is option C.
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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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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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Figure 2 shows a series circuit.
R₁1
Figure 2
R₂
Resistor R₂ breaks. What happens to the reading on the ammeter?
Answer:
sleep well
Explanation:
bukas nalbg yan pree
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.
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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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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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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a customer sits in an amusement park ride in which the compartment is to be pulled downward in the negative direction of ayaxis with an acceleration magnitude of 1.24g,with g
The magnitude of the downward acceleration of the customer is 12.15 m/s².
What is downward acceleration?
A downward acceleration is the acceleration experienced by an object moving downwards.
During the downward motion of an object, the velocity of the object increases while the downward acceleration acceleration remains constant.
The velocity increases and eventually become maximum before the object hits the ground.
Also, another observation is that, the acceleration of the object is always directed downwards.
The magnitude of the downward acceleration of the customer on amusement park is calculated as follows;
a = 1.24 g
where;
g is acceleration due to gravity = 9.8 m/s²a = 1.24 x 9.8 m/s²
a = 12.15 m/s²
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The complete question is below:
a customer sits in an amusement park ride in which the compartment is to be pulled downward in the negative direction of ayaxis with an acceleration magnitude of 1.24g,with g. find the magnitude of the acceleration.
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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what mass of limestone (in kg ) would be required to completely neutralize a 15.2 billion-liter lake that is 1.9×10−5 m in h2so4 and 8.6×10−6 m in hno3 ?
The mass of limestone (in kg ) required to neutralize the lake is 3542 kg.
First we have to balance the chemical equations:
[tex]H_{2}[/tex] [tex]SO_{4}[/tex]
[tex]CaCO_{3}[/tex] + [tex]H_{2}[/tex] [tex]SO_{4}[/tex] → CaS[tex]O_{4}[/tex] + [tex]H_{2}[/tex]O + C[tex]O_{2}[/tex]
HN[tex]O_{3}[/tex]:
CaC[tex]O_{3}[/tex] + 2HN[tex]O_{3}[/tex] → Ca(N[tex]O_{3})2[/tex] + [tex]H_{2}[/tex]O + C[tex]O_{2}[/tex]
It tells us that 1 limestone is needed for 2 moles of Nitric Acid.
Now, calculate number of moles by getting the product of volume and molarity.
moles [tex]H_{2}[/tex] [tex]SO_{4}[/tex]= 1.9 × [tex]10^{15}[/tex] M * (15.2 x [tex]10^{9}[/tex] L)
moles [tex]H_{2}[/tex] [tex]SO_{4}[/tex] = 288800 mol
moles HN[tex]O_{3}[/tex] = 8.6 × [tex]10^{-6}[/tex] M * (15.2 x [tex]10^{9}[/tex] L)
moles HN[tex]O_{3}[/tex] = 130720 mol
Total moles of limestone:
Moles of limestone = 288800 + 130720
Moles of limestone = 354160 mol
Multiply mol of limestone with its molar mass.
mass of limestone = 354160× 100.086
mass of limestone = 3542 kg
Thus, The mass of limestone (in kg ) required to neutralize the lake is 3542 kg.
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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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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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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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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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you throw a rock straight up into the air with a speed of 11.5ms how long does it take to reach its highest point
The time taken for the rock to reach its highest point is 1.2 seconds.
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 rock to reach its maximum or highest point is calculated as follows;
v = u - gt
where;
v is the final velocity of the rock at the highest pointu is the initial velocity of the rockg is acceleration due to gravityt is time of motionAt the maximum height, the final velocity of the object is zero.
0 = u - gt
]gt = u
t = u/g
t = (11.5 m/s) / (9.8 m/s²)
t = 1.2 seconds
Thus, we can conclude that time from the initial position of the rock to the highest position of the rock is 1.2 seconds.
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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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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 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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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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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 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 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 bird is flying 77.0 meters above the ground, holding a stick with its feet. If the bird were to drop the stick, how long would it take for the stick to reach the ground below?
A: 1.96s
B: 2.45s
C: 3.96s
D: 3.84s
The time taken for the stick that the bird dropped to reach the ground is 3.96 seconds.
What will be the time taken for the stick that the bird dropped to reach the ground?The time taken for the stick that the bird dropped to reach the ground is determined the using formula below:
h = ut + ¹/₂ * g * t²
where the given parameters are given below:
h = 77.0 meters
u = 0
t = ?
g = 9.81 m/s²
Solving for the time required:
77.0 = 0 * t + ¹/₂ * 9.81 * t²
t² = 77.0 * 2 / 9.81
t² = √15.7
t = 3.96 seconds
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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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