The graph that best represents the relationship between the gravitational potential energy of a freely falling object and the object's height above the ground is the last graph.
What is Gravitational potential energy ?
Gravitational potential energy is the energy possessed by a body by virtue of its position. The formula is expressed as:
E = mgh
m is the mass of the object
g is the acceleration due to gravity
h is the height of the object
Note that the formula shows that the gravitational potential energy is directly proportional to the height of the object
This direct proportionality shows that the required graph will have a positive slope.
This shows that the graph that best represents the relationship between the gravitational potential energy of a freely falling object and the object's height above the ground is the last graph.
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Which of the following best describe a displacement pump? A. Reciprocating pump B. Propeller pump C. Centrifugal D. Jet pump
Emptying trenches, filling tanks, supplying water for boilers, and all of the above tank refuelling
What do you name a drainage trench?An exclusive variety of floor drain with a predominately trough- or channel-shaped body is known as a trench drain (also known as a channel drain, line drain, slot discharge, linear drain, or strip drain). It is utilised to contain utility lines or industrial pollution as well as for the quick evacuation of surface water.
What makes a trench different from a drain?Aside from what we've mentioned here, the distinction between a French dump and a trench drain is that the former French drain is used for water that is underground, whilst a trench drain redirects extra water from a surfac.e
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A series of four direct shear tests were conducted on a dry sand. The initial size of the specimens were 50 mm by 50 mm (in horizontal plane) and 20 mm high. The following test results were reported. Test Number Vertical stress (kPa) 50 100 200 400 Shear Stress at Failure (kPa) 35.5 71 142 284 Plot the test results in normal stress-shear stress space, draw the best-fit Mohr-Coulomb failure envelope, and report the friction angle. [Note: assume that the cohesion intercept is zero.] Friction angle (degrees)
35.375 degrees is the friction angle. Four direct shear tests were performed for on a dry sand. The specimens were 50 mm by 50 mm in size at first.
Angle of internal friction, often known as friction angle, is a parameter indicating how well a unit of rock or soil can sustain a shear force. When failure simply results from a shearing stress, an angle (), measured between the normal force (N) and resultant force (R), is reached ( S ). A shear test is intended to exert stress on a test sample so that it slides out of alignment with the applied forces along a plane.
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when striking, the pike, a predatory fish, can accelerate from rest to a speed of 4.0 m/s in 0.14 s .
The acceleration of the predatory fish is 28.57 m/s².
What is the acceleration of predatory fish?
The acceleration of the predatory fish is the rate of change of velocity of the predatory fish with time.
Mathematically, the formula for acceleration is given as;
a = Δv / Δt
where;
Δv is the change in velocity of the predatory fishΔt is the change in time of motion of the predatory fishThe given parameters include the following;
the change in velocity of the predatory fish = 4 m/sthe change in time of motion of the predatory fish = 0.14 sa = (4 m/s) / (0.14 s)
a = 28.57 m/s²
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The complete question is below:
when striking, the pike, a predatory fish, can accelerate from rest to a speed of 4.0 m/s in 0.14 s . find the acceleration?
9. after a nice dinner around the campfire on a camping trip, you and a friend decide to get away from the fire to observe the stars. as you get farther and further away, you see the brightness of the fire:
Decrease as the distance squared after a nice dinner around the campfire on a camping trip, you and a friend decide to get away from the fire to observe the stars. as you get farther and further away.
The amount of thermal energy that a huge fire has transferred is more than that of a little fire, thus you must stand closer to a small fire to feel the same warmth you do when you are farther away. The reaction generates a lot of thermal energy in a huge fire. Less thermal energy is released from the reaction in a tiny fire.
When the temperature rises, a type of energy called thermal energy is produced. The amount of thermal energy is directly inversely proportional to the object's change in temperature. Thermal energy takes the form of heat.
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what is the buoyant force acting on the block?; what is the weight wb of the ball?; what is the density of the unknown liquid rhounknown ?; what is the pressure p2 of the fluid at the bottom of the beaker; what lift force must the shark's fins provide if the shark is swimming in seawater?; what is the force that her fist exerts on the top of the bottle?; rank these blocks on the basis of the scale reading when the blocks are completely submerged.
The weight of the liquid the object displaces determines the buoyant force that pulls an object upward when it is floating (or submerged).
Does the buoyant force pushing against the block exceed, fall short of, or be equal to its weight?The idea behind Archimedes' principle is that the weight of the fluid that an object displaces is equal to the buoyant force acting on it.
Is an object under the influence of buoyancy?A fully or partially submerged object is subject to an upward force known as the buoyant force. Upthrust is another name for this thrust upward. A body that is partially or completely submerged in a fluid appears to lose weight, or to be lighter, due to the buoyant force.
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what happens when light passes from air into water? does it slow down; when light travels from glass to air; when light travels from air to glass the ray of light bends; when light travels from air to glass what happens to the speed; when light travels from air to water does wavelength change; what happens when light travels from air to water; light refraction; what happens to a light ray when it travels from water into air?
When light passes from air into water, it slows down and bend towards the normal.
When light travels from glass to air its speed increases and bend away from the normal.
When light travels from air to glass, speed decreases.
When light travels from air to water wavelength increase as refractive index of air is less than the water.
When light travels from water into air, its speed increases and it bend away from the normal.
Refraction is defined as the bending of light at the surface of two media when it changes medium of propagation.
When light passes from an optically rarer medium to optically denser medium. its speed decreases and it bend towards the normal. When light passes from the denser medium to a rarer medium, its speed increases and it bends away from the normal.
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Which statement about the transfer of thermal energy is correct?
When two items come into close proximity, thermal energy moves from the warmer object (which has faster-moving particles) to the colder object (with slower-moving particles).
Which thermal energy transfer direction is correct?First, heat is transferred from the lower-temperature object to the higher-temperature object, then it is transferred back to the lower-temperature object, and so on, until the objects are in thermal equilibrium.
What is the true statement concerning heat radiation?
Thermal radiations have a frequency range in the infrared and are electromagnetic in nature. All bodies that have an absolute temperature that is not zero emit these. Since they are electromagnetic, heat radiations can bounce off of them and move through space at the speed of light. All of the statements are true.
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make sure the piston screw is still loosened (counterclockwise). move the piston to the lowest position possible by releasing the air by disconnecting the pressure sensor tube, then re-attaching. now put a 100g or 200g mass on top of the piston platform and predict what will happen when you immerse the gas bulb in hot water. do the experiment, note the results and explain them in terms of the first law and the work done on or by the mass. again, think of whether this process is a constant pressure or constant volume one. (10 pts)
In this given experiment the piston rises a little bit.
Piston compressors, also known as reciprocating compressors, piston air compressors work with the help of large pistons driven by a crankshaft.These are the more traditional type of compressor, with a lot of moving parts. This design characteristic contributes to some of a piston compressor’s biggest downsides because it increases friction and heat. Screw compressors use two helical screws to compress the air, but the key difference is that the screws don’t touch each other.Since there’s no contact, there’s less wear and tear, reducing maintenance needs for screw compressors and making them more reliable. This mechanism provides other benefits for heat production, noise level, size, efficiency and oil content in output air.One of the most valuable benefits of a screw compressor is the ability to run one continuously. Since there’s less risk for overheating and wear, it can run without a duty cycle.To know more about compressors visit:
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radio frequencies (rf) can set off electronic initiating devices and some very sensitive explosives in the same manner as static electricity. electronic communication transmissions should not occur within a minimum of of suspected explosives.
Radio frequency (RF) is a unit of measurement used to describe the rate of oscillation of electromagnetic radiation spectrum, or electromagnetic radio waves, with frequencies as high as 300 gigahertz (GHz) and as low as 9 kilohertz (kHz).
What is RF in radio?The electromagnetic "spectrum" refers to all electromagnetic radiation in its collective form. Electromagnetic energy includes, for example, the radio waves and microwaves that transmitting antennas emit. "Radiofrequency" or "RF" energy or radiation is the term used to refer to all of them.The most often used frequencies are those that range from 500 MHz to 3 GHz because they provide a balanced set of benefits in terms of transmission range, capacity to handle large data rates, and antennae size. Most radar systems employ the X bands (8–12 GHz).Furthermore, you must have your radio receiver tuned to a specific frequency in order to pick up the information carried by these waves. It so happens that 2.4 GHz and 5 GHz are the WiFi frequencies. Your microwave's frequency and these waves are extremely comparable.To Learn more About Radio frequency refer To:
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The gravitational force between two bodies varies inversely as the square of the distance between them. If the force between two bodies is 18 N when the distance between them is 10 km, find the fource between the bodies when the distance between them is 7.5 km.
The statement states that the force between both the bodies at a distance of 7.5 km equals F = 32 N.
What is gravitational force?This force that earth applies to a body is referred to as gravitational force. Its down motion of water in the river, the downwards motion if water in a stream, or an upwards motion of a ball being thrown are examples of motion brought on by gravitational influence.
Briefing:F = k/d² where k is the inverse variation's constant.
18 N = k / (10 km)²
18 N = k / 100 km²
k = (18 N) (100 km²)
k = 1800 (N)(km²)
F = ?
d = 7.5 km
k = 1800 (N) (km²)
F = 1800 (N)(km²) / (7.5 km)²
F = 1800 (N) (km²) / (55.25 km²)
F = 32 N
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A photon is incident on a Hydrogen atom that is in the ground state, resulting in an ejected electron. Which of the following regions of the electromagnetic spectrum could that photon be associated with? Visible Infrared Radio UV?
UV (Ultraviolet) is the regions in the electromagnetic type of spectrum that could photon must be associated with it. Option (4)
Ultraviolet radiation will reaches the Earth's floor is made of forms of rays, referred to as UVA and UVB. Ultraviolet radiation additionally comes from solar lamps and tanning beds. It can reason pores and skin damage, untimely aging, melanoma, and different forms of pores and skin cancer.
A photon become absorbed via way of means of a hydrogen atom in its floor state, and the electron become precipitated to the 5th orbit. When the excited atom returned. to its floor state, seen and different quanta had been emitted. Absorbed mild is mild that is not visible at the same time as emitted mild is mild this is visible. Emission is while electrons go back to power levels. Absorption is while electrons advantage power and soar to better power levels.
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Correct Question:
A photon is incident on a Hydrogen atom that is in the ground state, resulting in an ejected electron. Which of the following regions of the electromagnetic spectrum could that photon be associated with?
1. Visible
2. Infrared
3. Radio
4. UV (Ultraviolet).
When forces are balanced they?
Answer:
There is no change in motion it is constant
Explanation:
Balanced forces are equal in size and opposite in direction. When forces are balanced, there is no change in motion. In one of your situations in the last section, you pushed or pulled on an object from opposite directions but with the same force.
in free fall the initial velocity of the object is always; inertia keeps the ball moving horizontally. the force of gravity acts on the object, causing; what is free fall in physics; what is the acceleration of an object in free fall; in the absence of air resistance, objects fall at constant; forces acting on a falling object; how does air resistance affect falling objects; free fall description
All objects descend toward the Earth's surface with a constant acceleration of g start text, g, end text in the absence of air resistance. g = 9.8 m s 2 g applies to Earth's surface.
When something descends without any air resistance, that is called free fall.Objects that are claimed to be falling freely do not actually experience much air resistance; instead, gravity is the only force acting on them as they fall. Regardless of their mass, all objects will fall with the same rate of acceleration under these circumstances.
What is an object's constant acceleration in free fall?The acceleration of a free falling object can be solved using algebra. The acceleration is constant and equal to the gravitational acceleration g, which at sea level on Earth is 9.8 meters per square second.
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Which may result an increase in friction?; Which may result from an increase in friction decreased traction?; Which may result from an increase in friction Brainly?; How can rolling friction be increased?
Considering both the object's mass and the surface's coefficient of friction In relation to heat energy, friction is a resistive force.
What are heat energy and what is its unit?According to physics, heat is a type of energy that moves from a hotter body to a cooler one or it is the movement of atoms and molecules within a substance; the faster the atoms or molecules move, the more energy the substance has. The SI unit of heat is the joule (J).
What are the top ten heat sources?Natural gas, propane (Mp), oil, coal, firewood, electricity, water heaters, ground source heat pumps, and solar energy are just a few of your many options for heating energy sources. Offering goods that are both extremely energy-efficient and wise investments is a goal of Radiantec.
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How did ibn Sina changed the science of forces
Ibn Sina, also known as Avicenna, was a Persian polymath who made significant contributions to a wide range of fields, including philosophy, medicine, and science. However, his work in the field of the science of forces is not as well known as his contributions to other areas.
Ibn Sina's most significant contributions to the science of forces were in the field of mechanics, the study of motion and the forces that cause it. In his work, he described the concept of momentum, which is the product of an object's mass and velocity, and he also made important contributions to the study of the motion of projectiles.
However, it is important to note that while Ibn Sina made some important contributions to the science of forces, his work in this field was not as influential as the work of other scientists and philosophers, such as Sir Isaac Newton, who made more significant contributions to the development of the laws of motion and the theory of universal gravitation.
Which if the following is an example of good conflict mangament
An example of good conflict management is empathizing with other players. The Option C is correct.
What is a conflict management?Conflict management refers to the process of limiting the negative aspects of conflict while increasing the positive aspects of conflict. Furthermore, a conflict management means the practice of being able to identify and managing conflicts sensibly, fairly and efficiently.
Since conflicts are a natural part of the workplace, it is very important that there are people who understand conflicts and know how to resolve them. As everyone is striving to show how valuable they are, this can lead to disputes with other members of the team.
Some of the aim of conflict management is to enhance learning and group outcomes including an effectiveness or performance in an organizational setting. Properly managed conflict can improve group outcomes.
Missing options " A. Letting an opponent's "trash-talking" break your focus. B. Throwing a baseball bat down in anger. C. Empathizing with other players. D. Yelling at other players.
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The overall length of a piccolo is 32.0 cm. The resonating air column vibrates as in a pipe that is open at both ends.Find the frequency of the lowest note a piccolo can play, assuming the speed of sound in air is 340 m/s. Opening holes in the side effectively shortens the length of the resonant column. If the highest note a piccolo can sound is 4000 Hz, find the distance between adjacent antinodes for this mode of vibration.
The lowest note a piccolo can play has a frequency of (f)= 531.25 Hz. and for this mode of vibration, the distance (d) between neighboring antinodes is equal to 4.25 cm.
(a)The formula f = v/2L can be used to determine the frequency of the lowest note a piccolo can play
where v = 340 m/s, the speed of sound in air and
L is length = 32 cm is equal to 0.32 meters as given ,
therefore f = 340/(2 * 0.32)
f = 531.25 Hz
(b) The wavelength formula is λ = v/f.
Thus; λ = 340/4000 \s
λ = 0.085 m
Now, for the specified mode of vibration,
the distance between consecutive antinodes is given by (d )= λ/2 = 0.085/2
d = 0.0425 m.
As a result, d = 4.25cm
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Two 460g blocks of wood are 2.0 m apart on a frictionless table. A 12g bullet is fired at 400m/s?
toward the blocks. It passes all the way through the first block, then embeds itself in the second block. Th e speed of the first block immediately after ward is 6.2m/s.
What is the speed of the second block after the bullet stop
When two 460g blocks of wood are placed on a frictionless surface, 2.0 m apart, and the bullet stops, the second block moves at a speed of 2.5 m/s. 400m/s is the velocity of a 12g bullet.
comparison of frictionless synonyms continuous creamy easy effortless flat fluid gentle glossy mild tranquil polished serene
M = 460 g for the block's mass
Blocks are separated by x metres.
The bullet's weight is 12 g.
initial bullet speed = u = 400 m/s
final block velocity was 6.2 m/s.
The bullet's speed as it travels through the first block will initially be determined as follows:
mv + mu = Mv
(12)(400) = 12v+460(6.2) (6.2)
v = 162 m/s
V' = m/(m+M)*162
V' = 12/(12+460) *100
V' = 0.0254*100
V' = 2.5m/s
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earth's atmosphere is most transparent to all wavelengths of light. earth's atmosphere is most transparent to all wavelengths of light. infrared visible x-ray ultraviolet both visible and ultraviolet
Earth's atmosphere is transparent for waves like visible light and microwaves is correct statement.
A wave is a planned, systematic transfer of disturbances from one place to another. In addition to the waves that move across the water's surface, which are the most well-known waves, there are also waves in sound, light, and the motion of subatomic particles. In the simplest waves, the disturbance oscillates repeatedly at a fixed frequency and wavelength (see periodic motion). Mechanical waves, like sound, need a medium to move, in contrast to electromagnetic waves, which can do so in a vacuum and do not need one (see electromagnetic radiation). How a wave moves through a medium depends on its properties.
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what is the magnetic field amplitude of an electromagnetic wave whose electric field amplitude is 12 v/m ? express your answer to two significant figures and include the appropriate units.\
The magnitude of the amplitude of the ⁸magnetic field in the Electromagnetic wave is 36 x 10⁸ T.
The energy of an electromagnetic wave in terms of electric field is given by,
E = 1/2e₀E²
Where,
e₀ is the permittivity of free space,
E is the the electric field amplitude.
The energy of an electromagnetic wave in terms of magnetic field is given by,
E = B²/2u₀
Where,
u₀ is the permeability of free space,
B is the the Magnetic field amplitude.
Both these energies are equal hence,
We can write,
E/B = √e₀u₀
Putting the standard values of e₀ and u₀ and E,
B = 12 x 3 x 10⁸
B = 36 x 10⁸ T
So, the amplitude of the magnetic field is 36 x 10⁸ T.
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An old campfire is uncovered during an archacological dig. Its charcoal is found to contain less than 1/1000 the normal amount ofC. Find the minimum age (in years) of the charcoal. Carbon-14 has a half-life of 5730 years which means half of it will be gone aftler 5730 years. You may find the equality 210- 1024 to be useful, Numeric : A numeric value is expected and not an expression. min
Answer:
57104 yrs old
Explanation:
Its charcoal is found to contain less than 1/1000 the normal amount ofC-14.
1/1000 = (1/2)^n n = number of half lives = 9.965 half lives
9.965 half lives * 5730 yrs/half life = 57,104 years
an ammonia refrigeration cycle involves the conversion of 0.93 kg of liquid ammonia into vapor every minute at the boiling-point temperature.
The rate at which ammonia absorbs energy, according to the question, is 32166.7 W.
What does physics mean when it refers to temperature?Temperature is a unit used to represent hotness or coolness on any of a range of scales, including F and Celsius. According to temperature, heat energy will naturally move from a hotter (body with a temperature higher) to a colder (body with a lower temperature) (one at a lower temperature).
Briefing:Heat of evaporation (L) is equal to 1369.5*10³ J/kg.
Mass (m) = 1.41 kg
Formula:
Q = m*L = 1.41 * 1369.5*10³
Q = 1.93 * 10⁶ J
Finally, the rate of energy absorption by ammonia is:
Q/t = 1.93 * 10⁶/60
= 32166.7 W
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The complete question is-
10 of 10 An ammonia refrigeration cycle involves the conversion of 1.41 kg of liquid ammonia into vapor every minute at the boiling-point temperature. At what rate does the ammonia absorb energy?
In the figure below, the driver of a car on a horizontal road makes an emergency stop by applying the brakes so that all four wheels lock and skid along the road. The coefficient of kinetic friction between tires and road is 0.42. The separation between the front and rear axles is L = 4.2 m, and the center of mass of the car is located at distance d = 1.8 m behind the front axle and distance h = 0.70 m above the road. The car weighs 11 kN. Find the magnitude of the following. (Hint: Although the car is not in translational equilibrium, it is in rotational equilibrium.)
(a) The braking acceleration of the car.
m/s2
(b) The normal force on each rear wheel.
N
(c) the normal force on each front wheel.
N
(d) the braking force on each rear wheel.
N
(e) the braking force on each front wheel.
N
Equation gives a straight result of 8.2*10^2N for friction on each rear wheel. In a similar way, 1.4*10^2N is the result for friction on the front rear wheel. The acceleration is 4.112m.s^2 in magnitude.
We can apply Equation, as suggested in the problem statement. Taking into account the torques around the Centre of mass of the vehicle and the fact that the friction forces are exerted horizontally at the bottom of the wheels, the total friction force there is 3.92m, located 0.75 metres vertically below the centre of mass.
Equation gives the following results for friction on each rear wheel:
friction = (0.42)(3929/2), which is 8.2*10^2N.
In a similar vein, friction on the front and back wheels
friction is (0.42)(7071/2) = 1.4 * 10^2 N
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An air-filled cavity for producing electromagnetic standing waves has two parallel, highly conducting walls separated by a distance L. One standing-wave pattern in the cavity produces nodal planes of the electric field with a spacing of 1.50 cm. The next-higher-frequency standing wave in the cavity produces nodal planes with a spacing of 1.25 cm. What is the distance L between the walls of the cavity?
The distance between the wall of the cavity is 7.5 cm
Distance is the length of a space between two points at rest or in motion.
It has the SI unit as meter denoted by letter 'm'.Since the waves are travelling within two parallel, highly conducting walls, i.e. both the ends are rigid and closed, the general formula for the distance (L) between both closed ends is (n+1) λ/2
for n = 0, λ/2 = 1.5 cm
λ = 3.0 cm
for λ(n+1/2) = 1.25
λ(n+1) = 2.5
(n + 1) * 1.5 = (n + 2) * 1.25
n = 4
L = (n+1) λ/2
L = (4+1) 3/2
L = (5) * 3 / 2
L = 7.5 cm
The distance L between the walls of the cavity is 7.5 cm.
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primary motor neurons of the direct motor pathway issue impulses for control of skeletal muscles; primary motor neurons of the indirect motor pathway issue impulses for control of skeletal muscles.
Primary motor neurons of the direct motor pathway produce impulses that cause skeletal muscles to contract voluntarily, whereas primary motor neurons of the indirect motor pathway produce impulses that cause skeletal muscles to contract involuntarily.
What is the main pathway for movement?For higher motor neuronal signals coming from the cerebral cortex and from basic brainstem motor nuclei, the motor route, also known as the pyramidal tract or the corticospinal tract, acts as the motor pathway. In the corticospinal tract, upper and lower motor neurons are present.
Which route is responsible for the head's skeletal muscles?The cranial nerves' higher motor neurons make up the corticobulbar tract. The corticobulbar system, which terminates on motor neurons, regulates the muscles of the face, head, and neck.
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the wires of a toaster carry electrical current between the electrical outlet and the toaster. the wires inside the toaster also carry electrical current. during its operation, the wires inside the toaster get hot enough to glow, yet the wires to the outlet do not. list some factors that might determine how hot a wire will get when it conducts electricity. answer:
Some factors that might determine how hot a wire will get when it conducts electricity is Current, Material and Ambient temperature.
Resistance of the wire: The resistance of a wire determines how easily electricity can flow through it. Wires with higher resistance will tend to get hotter when conducting electricity because they resist the flow of current more than wires with lower resistance.
Current: The amount of current flowing through the wire can also affect how hot it gets. Higher current means more electrons are flowing through the wire, which can cause it to heat up more.
Length and diameter of the wire: The length and diameter of the wire can also affect how hot it gets. Longer wires or wires with a larger diameter will tend to have lower resistance, which means they will conduct electricity more easily and may not get as hot as shorter or thinner wires.
Material: The material of the wire can also play a role in how hot it gets. Different materials have different electrical conductivity and resistance properties, which can affect how hot the wire gets when conducting electricity.
Ambient temperature: The ambient temperature of the environment in which the wire is located can also influence how hot it gets. If the ambient temperature is higher, the wire may heat up more quickly due to increased thermal energy.
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How do you calculate the rotation speed for a rotating living quarters on a spaceship for 1 g?
To produce the equal of 1 G, you would require a superstructure with a diameter of around 900m and a leisurely 1rpm.
For artificial gravity, how so many rotations per minute are required?Solution:The orbiter must rotate at a rate of 0.04 revolutions per second, or 2.4 revolutions per minute, to imitate Earth's gravity.
How do you determine the g-force in a turn?Just use following formula to translate rotations per minute (RPM) into relative centrifugal (RCF), also known as g force:RCF = (RPM)2 × 1.118 × 10-5 × r.The length of the particle from the rotating center and the rotational speed, measured in RPM, both affect the relative centrifugal force.
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A gas is compressed at a constant pressure of 0.800 atm from 9.00 L to 2.00 L. In the process, 400 J of energy leaves the gas by heat.Requirements:(a) What is the work done on the gas?(b) What is the change in its internal energy?
The gas has undergone work of 567.42 J, and the internal energy has changed by 167.42 J.
What exactly is inner energy?It is the summation of all the potential and kinetic energy of the atoms and molecules that make up the material that is represented in the system.
Briefing:
As given in the problem a gas is compressed at a constant pressure of 0.800atm from 9.00 L to 2.00 L. In the process, 400 J of energy leaves the gas by heat.
1 atm = 101325.00 N/m²
0.800 atm = 0.800×101325.00
=81060 N/m²
The work done by the gas under constant pressure
W = P×( V₂ -V₁)
=81060×(2- 9)×10⁻³
= - 567.42 J
A negative sign represents that work is done on the gas
By using the first law of the thermodynamics
ΔQ = ΔU +W
-400 = ΔU - 567.42
ΔU = 167.42 J
Thus, The work done on the gas is 567.42 J and the change in the internal energy would be 167.42 J
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A 110 kg running back carries the ball south at 8 m/s. A 130 kg linebacker runs to make the tackle going
north at 5 m/s. In their collision, the linebacker wraps his arms around the runner and makes it an inelastic
collision. How fast are they moving right after the collision (before they fall to the ground)?
The speed of the runners after the inelastic collision is 0.96 m/s towards the south.
What is the final speed of the runners after the collision?
The final speed of the runners after the collision is calculated by applying the principle of conservation of linear momentum as follows;
m₁u₁ + m₂u₂ = v(m₁ + m₂)
where;
m₁ is the mass of the running backu₁ is the mass of the running backm₂ is the mass of the linebackeru₂ is the initial speed of the linebackerv is the final speed of the runners after the collision110 (8) + 130(-5) = v (110 + 130 )
880 - 650 = 240v
230 = 240 v
v = 230 / 240
v = 0.96 m/s
Thus, after the collision the runners will be running at lower speed towards the south. The collision of the runners is inelastic meaning they will have the same velocity after the collision.
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for the following surface, what is the minimum number of area vectors would you need to fully describe the area?
Only 1 area type of vector is necessary as the given surface is flat and the area vector must point either +x or -x-direction only. Option(2) is correct.
According to triangle regulation of vector addition minimal 3 coplanar vectors are had to get 0 resultant. We understand that best triangle is closed determine of minimal facet, Sides of triangle constitute vector, So the minimal range of unequal vectors whose vector sum may be 0 is 3.
Two vectors may have most cost while they're in identical direction, i.e. the perspective among them is 0°. And may have minimal cost while they're simply in contrary direction, i.e. perspective among them is 180°. Polygon described as a closed aircraft determine, having 3 or greater immediately aspects. So, the minimal range of the facet in a polygon is 3. So, a polygon with a minimal range of aspects is known as triangle.
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Correct Question:
For the following surface, what is the minimum number of area vectors would you need to fully describe the area?
