The dinosaurs produced a net counterclockwise torque of 9,400Nm about the end of the branch that was attached to the tree. The length of the branch is 4.7m.
τ = Σr × F = rmg
where g is the acceleration caused by gravity, m is the mass, and r is the distance.
Torque has a direct relationship with -
1.the object's mass, in m
2. The mass's separation, r, from the location where the torque is being calculated.
Therefore, the torque will change whether we increase or reduce them.
Therefore, increasing mass will result in an increase in torque, but since we must retain the same torque, we must reduce mass's distance from the location of the torque.
As a result, the mass should be moved closer to the location of the torque.
Total Mass = (80 + 120)kg
= 200kg
Torque = 9400N
τ = Σr × F = rmg
τ = 200 × r × 10
9400 = 200 × r × 10
r = 9400 / 2000
r = 4.7m
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4. Driving home from school one day, you spot a ball rolling out in the street. You brake for 1.20 s, slowing your 950 kg car from 16 m/s to 9.5 m/s. a. What was the average force exerted on your car during braking
As stated in the preceding statement When braking, an automobile experiences an average force of 5,145.8 N.
Describe acceleration:An object is considered to have been pushed if its velocity changes. Depending on whether an item is moving faster, slower, or in a new direction, its velocity may change. Examples of acceleration include a falling fruit, the moon orbiting the earth, and an automobile that has stopped at a stop sign.
v = v o + a t ( the acceleration will be negative )
9.50 = 16.0 + a * 1.2
a * 1.2 = -16.0 + 9.50
a * 1.2 = - 6.5
a = - 6.5 : 1.2
a = - 5.4167 m/s²
F = m * a
950 kg * 5.4167 m/s²
F = 5,145.8 N ( the average force exerted on a car during braking )
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2.1 The sketch below shows a large suitcase with a mass of 32 kg rests on a rough incline at an angle of 30 to the ground. 2.1.1 Define normal force in words. 2.1.2 Draw a labelled free-body diagram of all the forces acting on the suitcase. 2.1.3 Calculate the magnitude of the force of friction that keeps the suitcase stationery on the incline. (2) (3) (3) 2.1.4 Calculate the coefficient of static friction between the suitcase and the incline, if the suitcase is just about to move on the incline. (3)
Answer:
Explanation:
1) Normal force is the upward force applied by the ramp (incline) on the suitcase as the reaction to the downward force of the Weight (Fg) of the suitcase
2) sorry, can't supply a FBD. Brainly doesn't have drawing tools available.
3) Fg = mg = (32 kg)(9.8 m/s²) = 313.6 N
N= y-component of Fg = cos30(313.6 N) = 271.6 N
Ff = (coeff. friction)(N)
3) Ff = x-component of Fg = sin30(313.6) = 156.8 N
4) coeff. friction = Ff/N = 156.8N/271.6N = 0.58
for what emf e does the 200ω resistor in the following figure dissipate no power if δv = 150 v ?
The total power dissipated by the resistor is 150 V x 1.33 A = 199.5W.
Since the voltage of the battery is 150 volts, and the resistance of the resistor is 200ω, then the current through the resistor is equal to 150V/200ω = 1.33 A.
As a result, the resistor dissipates a total of 150 V x 1.33 A = 199.5 W of electricity.
Power in physics is the amount of energy that is transferred and converted in a given amount of time. The International System of Units uses the watt, or one joule per second, as the unit of power. In older texts, power is frequently referred to as activity. Power is a scalar quantity.
Other aspects have been linked to power; for example, the product of a ground vehicle's velocity, traction force on its wheels, and aerodynamic drag equals the power needed to propel the vehicle.
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What is the linear diameter (in meters) of an object that has an angular diameter of 25 arcseconds and a distance of 65 km
The linear diameter of an object with an angular diameter of 25 arcseconds and a distance of 65 km will be 0.067 meters.
Linear Diameter = (Angular Diameter ×Distance) / 206264.81.
In this case, the linear diameter would be 0.067 meters.
To put this into context, a linear diameter of 0.067 meters is approximately equal to 6.7 centimeters, or 2.6 inches. To put this another way, it is approximately the size of a large grape. As such, it is incredibly small and would be difficult to see with the eye.
Therefore the linear diameter of the object is 0.067 meters
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A 0.50-kilogram ball is thrown upward with an initial kinetic energy of 25 joules. Approximately how high will the ball rise
The height will the ball rise when a 0.50-kilogram ball is thrown upward is 5.1 meters.
Given,
Mass = 0.5 kg
Kinetic energy = 25 joules
Potential energy = mgh = 25
= 0.5 × 9.8 × h = 25
= 5.1 meters
In general, the work done by a force on an object between two points does depend on the path taken by the object between the two points. For the special case of conservative forces, we have seen that the work does not depend on the path.
Therefore, we can define, for conservative forces, an associated potential energy that, for a given object, depends only on its location. In particular, when a conservative force acts on an object as it moves between two points, we define the define the change in potential energy associated with that force as minus the work done by that force between those two points.
kinetic energy of the ball was equal to the work done by the gravitational force. By our definition, the change in gravitational potential energy is equal to minus the work done by the gravitational force.
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What type of protein secondary structure does the structure shown here (Fiqure 1) represent? O a-helix O a-sheet
O B- helix O B-sheet O y turn
The correct option is C. β-sheet type of protein secondary structure does the structure shown here (Figure 1) represent.
A shape is an arrangement and organization of interrelated elements in a fabric item or gadget, or the item or system so prepared. material systems encompass guy-made items consisting of homes and machines and natural items which include organic organisms, minerals, and chemical compounds. abstract structures consist of statistics structures in pc science and musical shape.
Sorts of the shape include a hierarchy (a cascade of one-to-many relationships), a network providing many-to-many links, or a lattice presenting connections among additives that can be pals in space.
Built structures are widely divided by using their various design approaches and requirements, into classes together with constructing systems, architectural structures, civil engineering structures, and mechanical structures.
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Complete Question:
What type of protein secondary structure does the structure is shown here (Figure 1) represent?
A). α-helix
B). α-sheet
C). β- helix
D). β-sheet
E). γ turn
Does rain occur most often in warm air masses, cold air masses or at warm fronts where two meet and interact?
Answer:
at warm fronts where two meet and interact
Explanation:
Warm fronts often bring stormy weather as the warm air mass at the surface rises above the cool air mass, making clouds and storms
ps. I'm not very sure if it's correct
A ? is a distortion in a voltage waveform where the voltage quickly drops toward zero and then returns to the correct value.
"A notch is a distortion in a voltage waveform where the voltage quickly drops toward zero and then returns to the correct value."
In general, the primary overcurrent device is not considered to safeguard transformer secondary wires. Transformers with two windings are all isolation transformers.
A voltage waveform distortion known as notching is brought on by intense current bursts of very short duration. These distortions generally show up graphically as a notch in the waveform's time domain representation.
When current commutates from one phase to another during normal operation of power electronic devices, a sort of periodic waveform distortion called voltage notching is created. The most significant instance of voltage notching occurs in three-phase converters. The transition of the current from one phase to another causes the notches.
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A curve in the road is treated as a horizontal circle. A car drives around the curve with a constant translational velocity of 14 m/s, and the total horizontal force on the driver is 130 N. What is the total horizontal force on the driver if the translational velocity around the same curve is 18 m/s
The total horizontal force on the driver if the translational velocity around the same curve is 18 m/s is 215 N.
What is a force?The word 'force' has a precise meaning. At this level, it is completely appropriate to describe a force as a push or a pull. A force is not something that an object contains or 'has in it'.
Calculation -:In ∑F=m rv 2,
both m and r are unknown but remain constant.
Symbolically,
write ∑F slow =( r m )(14.0m/s) 2
and ∑F fast =( r m )(18.0m/s) 2
Therefore, ∑F is proportional to v 2 and increases by a factor of ( 14.018.0 ) 2
as v increases from 14.0m/s to 18.0m/s.
The total force at the higher speed is then
∑F fast =( 14.018.0 )
2 ∑F slow =( 14.018.0 ) 2 (130N)
=215N
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Energy can't be made or destroyed. It is only ever transferred, stored or dissipated. This means that energy is... what?
What are some benefits of dynamic exercises prior to playing volleyball how it will prepare your body leading to the game?
The benefits of dynamic exercises before playing volleyball and how they will prepare your body for the match are:
Increased Muscle Strength and PowerImproved Mobility and FlexibilityImproved Agility and Reaction TimeImproved Balance and CoordinationImproved Cardiovascular EnduranceExplanation of each of the benefits of dynamic exercises before playing volleyball and its preparationIncreased Muscle Strength and Power: Dynamic exercises help to increase muscle strength and power, which is essential for performing explosive movements required in volleyball.Improved Mobility and Flexibility: Dynamic exercises help to improve mobility and flexibility, which can help to reduce the risk of injury.Improved Agility and Reaction Time: Dynamic exercises help to improve agility and reaction time, which can help you to react quickly and effectively to the game.Improved Balance and Coordination: Dynamic exercises also help to improve balance and coordination, which can help you to perform better and avoid unnecessary injuries.Improved Cardiovascular Endurance: Dynamic exercises help to increase your cardiovascular endurance, which can help you to last longer during the game and maintain high intensity throughout.Learn more about dynamic stretching:
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A 64.5 kg astronaut is on a space walk when the tether line to the shuttle breaks. The astronaut is able to throw a 12.0 kg oxygen tank in a direction away from the shuttle with a speed of 14.9 m/s, propelling the astronaut back to the shuttle. Assuming that the astronaut starts from rest, find the final speed of the astronaut after throwing the tank.
The final speed of the astronaut after throwing the oxygen tank can be calculated using the conservation of momentum principle.
This principle states that the total momentum of an isolated system remains constant if no external forces act on the system.The momentum of the oxygen tank is given by the equation.
p_t = m_t*vThe conservation of momentum principle states that the initial momentum of the system is equal to the final momentum of the system.
p_i = p_f
The final momentum of the system is the momentum of the astronaut-tank system after the astronaut throws the tank.
p_f = (m_a + m_t)v_f = (64.5 + 12) * v_f = 76.5 * v_f
So the final momentum of the system is equal to the momentum of the oxygen tank.
p_t = m_tv = 1214.9 = 178.8We can set the two equations equal to each other and solve for v_f
178.8 = 76.5 * v_f
v_f = 178.8 / 76.5
v_f = 2.33 m/s
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a race car is moving at a constant speed around a track.What about the race car is changing and why
A race car is moving at a constant speed around a track. The race car is changing its velocity as the direction of motion changes.
What is velocity?The primary indicator of an object's position and speed is its velocity. It is the distance that an object travels in one unit of time. The displacement of the item in one unit of time is the definition of velocity.
The rate at which a body's displacement changes in relation to time is known as its velocity. Velocity is a vector quantity with both magnitude and direction. SI unit of velocity is meter/second.
As the race car is moving at a constant speed around a track, the magnitude of velocity remains same but during race it may changes its direction of motion, that is why, velocity of it, which depends on both magnitude and direction, may changes.
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3. Calculate the force of gravity that Saturn (mass = 5. 7 x 1026 kg) exerts
on a woman on Earth (mass = 61 kg) when Saturn is closest to Earth,
1. 2 x 10° km.
The force of gravity that Saturn (mass = 5. 7 x 1026 kg) exerts on a woman on Earth (mass = 61 kg) when Saturn is closest to Earth = 1. 2 x 10° km.
Explanation of the given answer:Formula used in step two. F = G m 1 m 2 r 2. Step 3: Determine the gravitational force.
Calculating the gravitational force is step three. F = 6.7 10 11 by changing the values in the formula above. 2 × 10 30 × 6 × 10 24 1 .5 × 10 11 2 F = 3 .
The formula for the gravitational constant of the universe is G = 6.674 x 10 - 11 m3/kg s2. Thus, this is the gravitational pull of the sun on the planet.
F = Gm1m2R2, where G is the gravitational constant of the universe. The gravitational force between two bodies of equal mass that are kept at an equal distance from one another constitutes the universal gravitational constant.
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In the video, Dr. Hewitt lifts a bowling ball on a rope to his teeth, then lets go, the ball swings away and returns. What happens the first time Dr. Hewitt lifts the bowling ball near his teeth and lets go?
answer choices
O The ball returns to Dr. Hewitt, stopping almost exactly at the point where it was released.
O The ball leaves Dr. Hewitt and returns to him, going past the point where it was released.
O The ball leaves Dr. Hewitt and returns to him, stopping short of the point where it was released.
Option 1 is correct choice, The ball returns to Dr. Hewitt, stopping almost exactly at the point where it was released.
Potential energy becomes kinetic energy when a stationary item begins to move. When an item in motion stops moving, its kinetic energy transforms into potential energy.
Here, the energy input from the push is transforming into kinetic energy, which would be later transformed into even more potential energy than the ball had at the beginning of the motion.
The component of swinging is called kinetic energy, and it is the speed at which the ball runs back and forth. The most powerful aspect of swinging is potential energy. The ball achieves more potential energy the higher you go on the swing, so When it comes back to Dr. Hewitt, the ball stops almost exactly where it started.
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A researcher observes hydrogen emitting photons of energy 1.89 eV. What are the quantum numbers of the two states involved in the transition that emits these photons?
The quantum numbers of the 2 states involved in the transition that emits these photons of energy 1.89 eV of hydrogen is n=3 to n=2
The hydrogen atom is the simplest atom in which an electron moves in the spherically symmetric Coulomb potential of the proton. The total energy of an atom in the center of the mass system can only have discrete values for the stationary states described by the quantum numbers.
Energy of the emitted photon, ΔE=1.89eV. The total energy of a hydrogen atom is given as, En=−13.6/n^2eV, Here, n is the principal quantum number.
An electron absorbs or emits radiation in the form of discrete energy, which equals the difference in energies of the final and initial state. Mathematically, ΔE=Ef−Ei. Here, Ef is the energy of the final state and Ei is the energy of the initial state.The difference in energy when an electron makes transition from n=3 to n=2. ΔE3→2= E3−E2=(−1.51eV)−(−3.4eV)= 1.89eV.
Since, ΔE=ΔE3→2. Therefore, the electron makes a transition from n=3 to n=2.
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Imagine you are an astronomer who recently discovered a new planet orbiting a distant star. Which set of characteristics would you use to classify this planet as an inner or terrestrial planet
The characteristics which I would suggest are the planet should be dense, solid and located near star.
All the eight planets of the solar system move around the sun in fixed paths. These paths are elongated. They are called orbits. Mercury is nearest to the sun. It takes only about 88 days to complete one round along its orbit.
Venus is considered as ‘Earth’s-twin’ because its size and shape are very much similar to that of the earth.
Till recently (August 2006), Pluto was also considered a planet. However, in a meeting of the International Astronomical Union, a decision was taken that Pluto like other celestial objects (Ceres, 2003 UB313) discovered in recent past may be called ‘dwarf planets.
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2. Donald Trump has a mass of 108 kg, calculate his velocity when he has the following kinetic energy:
a) 1250 J
d) 1.2 kj
g) 90 kj
Kinetic energy: A) 1250 J: Velocity = √(2*1250/108) = 8.2 m/s, D) 1.2 kj: Velocity = √(2*1200/108) = 82 m/s and G) 90 kj: Velocity = √(2*90000/108) = 819 m/s.
What is Kinetic energy?Kinetic energy is the energy of motion. It is the energy an object has due to its motion. Kinetic energy can be calculated by multiplying half of an object's mass by the square of its velocity. Kinetic energy is a form of energy that is transferred between objects due to their motion. It is the energy of a moving object and is equal to the work done to accelerate the object from rest to its current velocity. Kinetic energy is associated with the motion of an object and is proportional to the square of its velocity. Kinetic energy is a form of energy that is associated with the motion of an object. It is the energy of a moving object and is equal to the work done to accelerate the object from rest to its current velocity.
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Identify work or a task that you’d like to make easier by using a device or tool. Here are a few possibilities: Easily pick up paperclips or pins that have fallen on the floor. Make a bed in less time. Move laundry from a basket into a washing machine without bending down. Sweep the floor without bending down. Rinse a collection of dishes at the same time. Efficiently pass salt and pepper shakers around a table. Rescue somebody from a high place. Choose a task from the list or, better yet, come up with your own. Explain how your tool or device will make the task easier. Note the simple machines that the tool or device will use.
The work or a task that I'd like to make easier by using a device or tool is sweeping the floor without bending down through the use of a vacuum cleaner.
What is a Device?This is referred to as a mechanical or electronic equipment which is made or adapted for a particular purpose and makes work easier and faster through technological advancement.
In the case of sweeping the floor without bending down, a vacuum cleaner is most appropriate as it uses an electric motor that spins a fan, thereby resulting in the sucking in of air and any small particles caught up in it thereby making it the correct device to be used.
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The chord of a circle of radius 5 cm subtends a right angle at its centre. Find the length of the chord (in cm).
The length of the chord of the circle in cm will be equal to 7.07cm.
A chord can be defined as that line segment which joins any two points on the circumference of a circle. The chord of a particular circle is subtending a 90° angle at its center. The radius of the circle is OA = OB =5cm.
To find the length of the chord AB, we use the Pythagorean Theorem
OA² + OB² = AB²
⇒ 5² + 5² = AB²
⇒ AB = √50 = 7.07 cm
The length of the chord AB is equal to 7.07cm.
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What is the density of a sample if its mass is 44.2g and its volume is 22.1cm3?
Taking into account the definition of density, the density of a sample if its mass is 44.2 g and its volume is 22.1cm³ is 2 g/cm³.
Definition of densityDensity is the ratio of mass to volume of a substance. In other words, density is a quantity that allows us to measure the amount of mass in a certain volume of a substance.
The expression for the calculation of density is:
density= mass÷ volume
This means that density (ρ) is equal to mass (m) divided by volume (v) and it is possible to deduce that density is inversely proportional to volume: the smaller the volume occupied by a certain mass, the greater the density.
Density is one of the physical properties of matter that can be observed in its different states: solid, liquid, and gas.
Density of the sampleIn this case, you know that:
Mass= 44.2 gVolume= 22.1 cm³Replacing in the definition of density:
density= 44.2 g÷ 22.1 cm³
Solving:
density= 2 g/cm³
In summary, the density is 2 g/cm³.
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A hunter shoots a bullet horizontally at a rock cliff wall that is 200 m away. They hear the sound of the bullet hitting the rock 0.85 seconds later. Knowing that the speed of sound was 340 m/s, what was the speed of the bullet
The fact is that the speed of the bullet plus the speed of sound is equal to the total distance traveled divided by the total time taken. Speed of bullet + Speed of sound = Total distance traveled / Total time taken.
Calculation-We know the speed of sound is 340 m/s, the distance traveled is 200 m, and the time taken is 0.85 seconds. We can use these values to find the speed of the bullet.
Speed of bullet = (Total distance traveled / Total time taken) - Speed of sound
By substituting the values, we get:
Speed of bullet = (200m / 0.85s) - 340m/s
Speed of bullet = 235.29 m/s
Therefore, the speed of the bullet was 235.29 m/s.
Is a bullet moving at the same rate as light?Nothing can travel faster than the speed of light, according to Einstein's special relativity theory, which was first published in 1905. According to Einstein, this speed is a basic constant of nature since it seems the same to all observers, regardless of where they are in space.
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Calculate the rotational kinetic energy of a 12-kg motorcycle wheel if its angular velocity is 120 rad/s and its inner radius is 0.280 m and outer radius 0.330 m.
According to the question the rotational kinetic energy of a 12-kg motorcycle wheel is 809.14 J
What does rotational kinetic energy?The SI unit for rotational kinetic energy is the joule (J). The rotating kinetic energy formula has a similar structure to a translational kinetic energy equation. Kinetic energy is created by spinning objects around an axis. This type of energy is influenced by the object's mass, weight, and center of mass angle with respect to the axis.
Given data -
Mass = 12-kg
Angular velocity (ω) -120rad/s
inner radius = 0.280 m
outer radius = 0.330 m.
By using the formula
I = ½*M (r1² + r2²)
I = ½ *(12) * (0.2802 + 0.3302)
I = 1.1238 Kgm2
K.E = ½*Iω2
K.E = ½ * (1.1238)*(120)2
K.E = 809.14 J
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Within galaxies there are billions of stars. Analyze the Hertzsprung Russell Diagram below and then choose the statements which are true, based on the diagram.
The Hertzsprung-Russell (H-R) Diagram is a graph that plots the luminosity (or absolute brightness) of stars against their surface temperature (or spectral type). It is used to classify stars based on their properties and understand their evolution.
The following statements are true based on the H-R diagram:
Most stars are located on the main sequence, which runs from the upper left to the lower right of the diagram. This represents stars that are burning hydrogen in their cores and are in a state of equilibrium.Stars located in the upper right corner of the diagram are brighter and hotter than those on the main sequence and are known as "giants" or "supergiants". They have exhausted the hydrogen in their cores and are in a later stage of their evolution.Stars located in the lower left corner of the diagram are cooler and less bright than those on the main sequence and are known as "dwarfs". These stars are in the early stages of their evolution and are still burning hydrogen in their cores.Stars located on the horizontal branch are burning helium in their cores, this represents stars that are in a different stage of their evolution.There is a clear relationship between a star's luminosity and its temperature, with hotter stars being brighter than cooler stars.The diagram shows that there is a wide range of luminosities and temperatures among stars, with some being much brighter and hotter than others.It's important to mention that the H-R diagram is a representation of the stars that are observed, and it's also based on the assumption that all stars are similar in their formation and evolution process.
The answer is general since no option is provided and similar question is nowhere to be found.
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An element has 1st, 2nd and 3rd ionization energies given in kJ mol-1. This element is a member of which group
An element has 1st, 2nd, and 3rd ionization energies given in kJ mol-1. The element in question is likely a member of the group known as the transition metals. This is because the elements in this group generally have higher ionization energies than other elements
For example, the first ionization energy of a transition metal is typically between 400 and 600 kJ/mol, the second ionization energy is typically between 1200 and 1600 kJ/mol, and the third ionization energy is typically between 2500 and 2800 kJ/mol. This range of ionization energies is consistent with the values given in the question. Transition metals are located in the middle of the periodic table, in between the s-block and the p-block elements.
They generally have higher melting points, densities, and boiling points than s-block elements and they display various oxidation states. All transition metals are metals, and they are usually the elements responsible for the color of compounds. Transition metals are also known for their catalytic properties, and they are often used as catalysts in various industrial and chemical processes. Furthermore, many transition metals are essential for life, including iron, cobalt, and copper. In conclusion, the element in question is likely a member of the transition metals group in the periodic table.
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An element has 1st, 2nd and 3rd ionization energies given in kJ mol-1. This element is a member of which group in the periodic table?
If an object was traveling horizontally off a cliff at 9 m/s for 7 seconds, how far did it go?
The object travelled 63 meters at 9m/s for 7 seconds.
What is distance travelled?The length of the trajectory taken between the initial and final positions of the moving body is the distance traveled.
To calculate the distance traveled by an object traveling horizontally off a cliff, you can use the formula:
d = v * t
where d is the distance traveled, v is the velocity (9 m/s), and t is the time (7 seconds).
By substituting the given values into the formula, we get:
d = 9 * 7 = 63 meters
So, the object traveled 63 meters horizontally before it hit the ground after being launched off the cliff at 9 m/s for 7 seconds.
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A 1.5 kg ball falls onto a floor. Just before it strikes the floor, its velocity is 12 m/s. The ball bounces up with a velocity of 10 m/s. Find the impulse on the ball.
Answer:33Ns
Explanation:
An antelope of mass 55 kg that is running at a speed of 10 m/s
and a tiger of mass 140 kg that is running at a speed of 15 m/s.
What's the total linear momentum of the antelope and the
tiger?
The total linear momentum of the antelope and the tiger is 2650 Kg m/s.
Linear momentum: what is it?The result of a system's mass x its velocity is its linear momentum. Linear momentum is denoted by the sign p = m v. The relationship between momentum and an object's mass and speed is straightforward.
Given -
mass of antelope = 55 Kg
mass of tiger = 140 Kg
speed of antelope = 10 m/s
speed of tiger = 15 m/s
from linear momentum formula
P = m × v
For antelope-
P = 55 × 10
P = 550 Kg m/s
For tiger-
P = m × v
P = 140 × 15
P = 2100 Kg m/s
Hence, total momentum is-
550 + 2100
2650 Kg m/s
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A twig floating in a small pond is initially at rest. On the twig is a snail, which begins moving along the length of the twig with a speed of 1.2 cm/s. The twig moves in the opposite direction with a speed of
0.40 cm/s. If the snail's mass is 2.5 g, what is the mass of twig?
The mass of the twig can be calculated using the law of conservation of momentum.
What is law of conservation?The Law of Conservation states that matter and energy cannot be created or destroyed, only changed from one form to another. This law is one of the most fundamental laws of physics, and it applies to all forms of energy, including heat, light, and electrical energy. This law helps explain why energy is always conserved, meaning that it can never be lost, only transferred or converted into another form. This law is also important in understanding the behavior of matter, as it explains why matter can never be completely destroyed, only rearranged or changed in form.
Momentum is equal to the mass times the velocity, so the total momentum of the twig and the snail before the snail starts moving is zero. After the snail starts moving, the momentum of the twig and the snail is equal to the snail's momentum, which is equal to 2.5 g x 1.2 cm/s = 3.0 g cm/s. Since the velocity of the twig is 0.4 cm/s, the mass of the twig must be equal to 3.0 g cm/s / 0.4 cm/s = 7.5 g.
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Bird bones have air pockets in them to reduce their weight. This also gives them an average density significantly less than that of the bones of other animals. Suppose an ornithologist weighs a bird bone in air and in water and finds its mass is 47.0 g47.0 g and its apparent mass when submerged is 3.60 g3.60 g (the bone is watertight). What mass of water is displaced
The mass of water displaced when the mass of bird bone in water and air is given, is calculated to be 43.4 g.
Given that,
Weight of bird bone in air = True weight = 47 g
Apparent weight of the bird bone when submerged = 3.6 g
The equation for apparent weight is known to be,
Apparent weight = True weight - Buoyant force
Making Buoyant force as subject, we have,
Buoyant force = 47 g - 3.6 g = 43.4 g
F b = mw × g = (m wat - m air)× g
mw = m wat - m air = 47 g - 3.6 g = 43.4 g
Thus, the mass of the water displaced is 43.4 g.
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