Answer:
The relative density of mercury is 13.6, this means that mercury is 13.6 times as heavy as an equal volume of water.
1. A cannon launches a shell with mass 100 kg toward a target. When the shell is at a height of 12 m its
velocity is 45 m/s. What is total mechanical energy of the shell?
Potential energy plus kinetic energy are combined to form mechanical energy. According to the principle of mechanical energy conservation, mechanical energy is constant in an isolated system when only conservative forces are acting on it.
E mechanical = U + K
E mechanical = mechanical energy
U = potential energy
K = kinetic energy
Mechanical energy, also known as kinetic energy or potential energy, is the energy that an object possesses when it is in motion or the energy that an object stores due to its location.
Renewable energy is also fueled by mechanical energy. In order to efficiently produce electricity or convert energy, many sources of renewable energy depend on mechanical energy.
Applying,
Mechanical Energy (M.E.) = ((1/2)mv²) + (m × g × h)
= ((1/2)*100*45²)+(100*9.8*12)
= 101250+ 11760
= 113010 J
m is the object's mass, v is its speed, g is its gravitational acceleration, and h is its height above the ground.
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on a local road, there are a honda moving at 72 km/h and a porsche moving at 90 km/h, approach each other. the driver of the honda seeing the porsche was excited, so he honked with a frequency of 650 hz. if the speed of the sound waves in air is 350 m/s, then what is the frequency of sound heard by the driver of the porsche?
The frequency of the sound heard by the driver of the Porsche is 689.39 Hz and 614.8 Hz.
What is Frequency?In physics, frequency is the number of waves that pass a fixed point in a unit of time as well as the number of cycles or vibrations that a body in periodic motion experiences in a unit of time.
(a) as when a person is in front of the car:
f' = (350 - 0/350 - 20) x f = 350/330 x 650 = 689.39 Hz
(b) when a person is behind the car (source is moving away):
f'' = (350 - 0/350 + 20) x f° = 350/370 x 650 = 614.8 Hz
V(source) = 72 km/h = 20 m/s
V(sound) = 350 m/s
f° = 650 Hz
Hence, the frequency of the sound heard by the driver of the Porsche is 689.39 Hz and 614.8 Hz.
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Your yo-yo toy is resting on the floor has a mass of 5 kg and the string is from the yo-you to your finger. With what force must you lift with the string to pick up the yo-yo from the floor?
The force you must lift with the string to pick up the yo-yo from the floor is 49 N.
What is weight?
The weight of an object is defined as the force acting on the object due to gravity.
Weight is a vector quantity, because it has both magnitude and direction.
The weight of every object is the force acting downwards due to effect of gravity on the object. The force needed to pick the yo-yo from the floor must be equal or greater than the weight of the yo-yo.
F = W = mg
where;
m is mass of the yo-yog is acceleration due to gravity = 9.8 m/s²F = 5 kg x 9.8 m/s²
F = 49 N
Thus, the force needed to pick the yo-yo must be equal or greater than its weight.
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what is the required flight visibility and distance from clouds if you are operating in class e airspace at 9,500 feet msl with a vfr-on-top clearance during daylight hours?
It is to be noted that the required flight visibility and distance from clouds, if you are operating in class e airspace at 9,500 feet MSL with a VFR-on-top clearance during daylight hours, is given as "3 statute miles 1,000 above 500 Below and 2,000 horizontal"
What is flight visibility?Flight visibility is the average forward horizontal distance from the cockpit of a flying aircraft at which conspicuous unlighted objects can be seen and identified during the day and significant lighted objects can be seen and identified during the night.
Visibility requirements are the minimal visibility for flying.
According to Aviation Rules,
(a) No individual may fly an aircraft under VFR in restricted airspace when the ceiling is less than 1,000 feet unless flight vision is at least 2 miles, according to aviation rules.
(b) No person shall operate a helicopter under VFR at or below 1,200 feet above the ground or within the lateral boundaries of a designated Class B, C, D, or E airspace surface area of an aerodrome unless there is clear visibility. is at least -
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Which diagram shows the resulting wave when they cross at point X?
We can see that the images show that the waves are moving towards each other hence they interfere constructively as shown in the first image or option A.
What is a wave?The term wave has to do with a disturbance along a medium which transfers energy. We know that the wave could be transverse or longitudinal. A longitudinal wave is one in which the direction of the propagation is the same as that of the disturbance that is producing the wave.
The image that have been shown is that of the interference of waves. Recall that waves could interfere constructively or destructively. The waves that interfere constructively tend to increase the magnitude of the disturbance while the waves that interfere destructively tends to cancel out each other.
Here, it is obvious that the interference of the waves is quite a constructive one as the disturbance increases clearly from the images shown.
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A ball travels along a straight path, perpendicular to a wall. The ball bounces off the wall and returns with the same magnitude of momentum, p, with respect to a ground observer at rest. What expression shows the change in momentum as observed by the ground observer?.
From the question, we can see that the momentum is a vector thus the change in the momentum with respect to the ground observer ought to be zero.
What is momentum?The term momentum has to do with the product of the mass and the velocity of a body. Let us recall that the momentum of a body is a vector quantity thus we have to consider the magnitude as well as the direction of the vector.
With this said, we are going to consider the question more critically. We are told that; a ball travels along a straight path, perpendicular to a wall. The ball bounces off the wall and returns with the same magnitude of momentum, p, with respect to a ground observer at rest.
Looking at the fact that the momentum of the body is a vector and we have seen told that the ball bounces off the wall and returns with the same magnitude of momentum the it follows that the change in the momentum is zero.
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Missing parts;
A ball travels along a straight path, perpendicular to a wall. The ball bounces off the wall and returns with the same magnitude of momentum, p, with respect to a ground observer at rest. What expression shows the change in momentum as observed by the ground observer?
a. 0
b 0.5p
c 2p
d 1.5p
How do you get a resultant vector?
A. Multiply two vectors.
B. Multiply two scalars.
C. Add two or more vectors.
D. Add two scalars.
Correct option is C. To get a resultant vector, Add two or more vectors.
As a combination of direction and magnitude, vectors are written with an alphabet and an arrow over them (or) with an alphabet written in bold.
The two vectors a and b can be combined using vector addition, and the resulting vector is denoted by the notation a + b. Before learning about the characteristics of vector addition, it is important to comprehend the conditions that must be met.
These are the prerequisites:
Vectors can only be inserted if they are the same kind.
For instance, while adding acceleration, mass should not be considered.
The addition of scalars and vectors is not possible.
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How long does it take you to run 100 m if you run at 5.7 m/s
a 18.0-kg child descends a slide 2.20 m high and reaches the bottom with a speed of 1.50 m/s .how much thermal energy due to friction was generated in this process?
The heat generated due to the friction in the given process is 367.83 J.
Frictional heat generates when two surfaces slide against each other. The heat generated due to the friction in the given process is 6.92.7 J.
Frictional heat:
This heat is generated when two surfaces slide against each other.
Potential energy :-
U= m g h;
Put the values
U= 18.0-kg* 9.8 m/s^2 *2.20 m
U=388.08 J
The Kinetic energy in the bottom:
K = 1/2 * m * v^2
= 1/2 * 18.0* 1.50^2
K= 20.25 J
So the friction heat,
Hf = U - K
Hf = 388.08 J -20.25 J
Therefore, the heat generated due to the friction in the given process is 367.83 J.
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Which factors are needed to determine the amount of heat absorbed by an aluminum cube after it is warmed? check all that apply. final temperature of the cube initial temperature of the cube mass of the cube melting point of aluminum specific heat of aluminum volume of the cube
Factors that are needed to determine the amount of heat absorbed by an aluminum cube are the initial and final temperatures of aluminum cube.
Heat absorbed by aluminum is the amount of heat taken during the heating process.
To calculate the heat absorbed durring heating process, we use the formula:
Q = mc(T1 - T2)
Where:
T1 = initial temperature
T2 = final temperature .
c = specific heat capacity of the aluminum.
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Answer:
The correct options are A, B, C, and E!
Explanation:
I just got it right on edge.
Hope this helps - brainliest would be appreciated!
Have a great day everyone!
Acceleration is directly proportional to what
Answer:
magnitude of the force acting on the object
F = ma. The higher the Force, higher the acceleration
Explanation:
Acceleration is directly proportional to the magnitude of the force
AccelerationForce and acceleration are clearly inversely proportional. Think of a body that is at rest. You now exert a force that causes the body to begin moving with a set velocity. Our sense of the world around us leads us to believe that the more force we exert, the more velocity the body will acquire in the same amount of time. We are aware that acceleration is the rate at which velocity changes over time. Now that we are aware that the force we apply will directly affect the velocity of the body when it is initially at rest, we may draw the conclusion that force directly affects acceleration.
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The volume of a piece of wood (which floats in water) can be measured as shown. Write a brier paragraph to describe the procedure. State the volume of the wood.
When an item sinks under force, its volume can be calculated. For this reason, the item is fastened to another readily sinkable object. Since the floating object will sink in the water, its volume may be determined.
How can the volume of a piece of wood, an irregular solid that floats on water, be calculated?One method to determine the volume of a floating object is to weigh it down using a heavy object. It's crucial to figure out the water's depth both with the heavy object submerged and with it pulling the floating object down into the water.
An object floats when the water's upward push balances the weight force acting on it. Untainted by water depth, the amount of the object immersed increases the water is probably upward push.
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Suppose a ball is thrown straight up and experiences no appreciable air resistance. What is its acceleration just before it reaches its highest point?.
The acceleration of the ball just before it reaches its highest point is 9.8m/s2.
At the highest point the velocity turns out to become zero.
Then acceleration = acceleration due to gravity = 9.8 m/s2
Explain what acceleration is.Acceleration is the rate at which a moving object's speed and direction change over time. Something is said to be accelerating when it starts to move faster or slower. Motion on a circle accelerates even while the speed is constant because the direction will always be changing.What three forms of acceleration are there?The three main types of accelerated motions are uniform acceleration, non-uniform acceleration, and average acceleration. The motion in which an item moves in a straight line while increasing in velocity at regular intervals is referred to as uniform acceleration.What is an acceleration unit?The meter per second square (m/s2) is unit of acceleration.
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Question 19
2 pts
What would happen to the gravitational force between Earth and the moon if the
distance between them increased? (2 points)
It would decrease.
O It would stay the same.
OIt would increase.
It would double.
The gravitational force between Earth and the moon would decrease if them distance between them increased.
What does gravity mean?The gravitational force is focused at the system's barycenter rather than at the centers of either object when two objects are gravitationally linked together. It has a similar concept to a see-saw.
We are aware that the gravitational force's equation is F=GMm/r2.
Where M is the force of one object, m is the force of another object, r is the distance between them, and G is the gravitational constant.
As we can see, since F is inversely correlated to r, the gravitational force will grow as their separation widens.
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How is density important to aquatic lives in the ocean? answer in simple.
The density of seawater plays a vital role in causing ocean currents and circulating heat because of the fact that dense water sinks below less dense. Salinity, temperature and depth all affect the density of seawater.
What is density?Mass per unit of volume is referred to as density. Although the Latin letter D can also be used, the sign most frequently used for density is.
Mass divided by volume is how density is mathematically defined:
[tex]{\displaystyle \rho ={\frac {m}{V}}}[/tex]
the volume is V, the mass is m.
The fact that water loses density as temperature drops from 4° C to the point at which it freezes makes it one of the peculiar characteristics of water. This enables a variety of aquatic life forms to endure the winter. If ice were more dense than water, it would continue to freeze and sink until the lake was completely frozen.
The density of seawater plays a vital role in causing ocean currents and circulating heat because of the fact that dense water sinks below less dense. Salinity, temperature and depth all affect the density of seawater.
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what is the correct definition for protein
Answer:
Proteins are organic compounds containing nitrogen that are made of long, linked chains of amino acids and are a part of all living organisms.
suppose you have a 142 kg wooden crate resting on a wood floor, with coefficient of static friction 0.500 between these wood surfaces. (enter the magnitudes.) (a) what maximum force (in n) can you exert horizontally on the crate without moving it?
The maximum force I can exert horizontally on the crate without moving it is 588.6 Newtons.
What is force?
A force is a push or pull that an object feels as a result of interacting with another thing. Each time two things come into contact, a force is applied to each one of them. When the interaction is finished, the force is no longer sensed by the two objects. Forces are only real when there is interaction.
The max force I can exert horizontally on the crate without moving it is equal:
[tex]F_{smax} = {\mu_s} \times M \times g[/tex]
where,
μs is the static friction, g is the gravitational force by substituted and M is the mass:
Fsmax = 0.5 * 120Kg * 9.81 m/s2
Fsmax = 588.6 N
when, F= Fsmax
Therefore,
The answer is the force F = 588.6 N
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A closed container with a volume of 6.00 l holds 10.0 g of liquid helium at 25.0 k and enough air to fill the rest of its volume at a pressure of 1.00 atm. the helium then evaporates and the container warms to room temperature (293 k). what is the final pressure inside the container?
According to the given statement the final pressure inside the container P = 1015 atm.
How is the final partial pressure calculated?Partial pressures can be calculated in one of two ways: To determine the individual pressure of each gas in a mixture, use PV = nRT. Calculate the proportion of pressure from the total pressure that may be assigned to each individual gas using the mole fraction of each gas.
Briefing:You use the ideal-gas law:
PV = nRT
We are aware of V (volume), R (the ideal gas law constant, which, when applied to L and moles, is 8.314), and T. (293 K)
There are 10 g of helium, we divide by helium's molar mass in order to find the amount of moles.
10 g / (4.00 g/mol) = 2.5 moles of Helium
Since we now know all the variables, we can use the ideal-gas law to find the pressure. We'll take the equation and solve for P:
PV = nRT
P = (nRT)/(V)
P = (2.5)(8.314)(293)/(6)
P = 1015 atm
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A massless rod is fixed to a wall on one end. A cable is attached to the wall and the center of the rod. The cable makes an angle of 60° to the wall. If the maximum tension of the cable is 10 n, what is the maximum amount of weight that can hang from the end of the rod?.
The maximum amount of weight that can hang from the end of the rod is 8.66 N.
What is the maximum amount of weight on the rod?
The maximum amount of weight that can hang from the end of the rod is calculated as follows.
Apply the formula for tension using Newton's second law of motion. Newton's second law of motion states that the force experienced by an object is directly proportional to the product of the mass and acceleration of the object.
T sinθ = W
Where;
T is the maximum tension in the cableθ is the angle of inclination of the cableW is weight of the cable.
10 sin(60) = W
8.66 N = W
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an interstellar dust grain, roughly spherical with a radius of 3 ×10−7 m, has acquired a negative charge such that its potential is −0.15 volt. how many extra electrons has it picked up? what is the strength of the electric field at its surface?
V = k q / d
V = Electric potential difference
k = Coulomb's constant
q = Electric charge
d = Distance from the point charge
Since it is spherical in shape, according to Gauss law, the dust grain can be treated as a point charge.
[tex]q_{net}[/tex] = - n e
[tex]q_{net}[/tex] = Net charge
n = No. of excess electrons
e = Charge of an electron
V = - 0.15 V
d = 3 * [tex]10^{-7}[/tex] m
k = 9 * [tex]10^{9}[/tex] N
e = 1.6 * [tex]10^{-19}[/tex] C
[tex]q_{net}[/tex] = - n ( 1.6 * [tex]10^{-19}[/tex] )
V = k [tex]q_{net}[/tex] / d
- 0.15 = - n ( 9 * [tex]10^{9}[/tex] ) ( 1.6 * [tex]10^{-19}[/tex] ) / 3 * [tex]10^{-7}[/tex]
n = 31 electrons
E = k q / r²
E = Electric field strength
E = - k n e / r²
E = - ( 9 * [tex]10^{9}[/tex] ) ( 31 ) ( 1.6 * [tex]10^{-19}[/tex] ) / ( 3 * [tex]10^{-7}[/tex] )²
E = 5 * [tex]10^{5}[/tex] V / m
Therefore,
Number of extra electrons picked up by the dust grain = 31The strength of the electric field at its surface = 5 * [tex]10^{5}[/tex] V / mTo know more about number of excess electrons
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sarah just bought a telescope and is telling you all about what she saw last night, but she keeps mentioning that every object she pointed it towards seemed to have a fuzzy glow. what type of telescope was she most likely using?
From the description, the type of telescope was she most likely using is the radio telescope.
What is a telescope?The telescope is the kind of device that could be used to find the and see the objects that are in the outer space. There are several kinds of telescopes such as;
radio telescoperefracting telescopecompound telescope reflecting telescopeThe radio telescope is the kind of telescope that is able to convert the radio signals into a format that could be used study the parameters that concern the universe. The clarity of the telescope is most times dependent on the location of the person using the telescope.
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Missing parts;
Sarah just bought a telescope and is telling you all about what she saw last night, but she keeps mentioning that every object she pointed it towards seemed to have a fuzzy
glow. What type of telescope was she MOST likely using?
A. radio telescope
B. refracting telescope
C. compound telescope
D. reflecting telescope
Answer:
She is most likely using a refracting telescope.
Explanation:
These telescopes are easily accessible to the general public and are popular for new astronomers but may produce a fuzzy glow around objects they magnify.
students work together during an experiment about newton’s laws. the students use a setup that consists of a cart of known mass connected to one end of a string that is looped over a pulley of negligible friction, with its other end connected to a hanging mass. the cart is initially at rest on a horizontal surface and rolls without slipping when released. the inertia of the cart's wheels is negligible. students have access to common laboratory equipment to make measurements of components of the system.
The tension in the string gets doubled when we double the mass of the cart as well as of the mass that hangs from the string.
We know, Newton's Second law states that the force applied to a body is directly proportional to the mass and the acceleration of the body, i.e.,
F = ma
where F is the force applied to the body or the tension in the cart, m is the mass of the body and a is the acceleration of the body.
Since, the mass of the cart is doubled, the tension on the string becomes:
[tex]F_{2}[/tex] = (2m)a
[tex]F_{2}[/tex] = 2ma
[tex]F_{2}[/tex] = 2F
Therefore, the tension in the string also gets doubled.
Complete Question: students work together during an experiment about newton’s laws. the students use a setup that consists of a cart of known mass connected to one end of a string that is looped over a pulley of negligible friction, with its other end connected to a hanging mass. the cart is initially at rest on a horizontal surface and rolls without slipping when released. the inertia of the cart's wheels is negligible. students have access to common laboratory equipment to make measurements of components of the system. The students double the mass that hangs from the string. They also replace the original cart with a new cart that has double the mass. By doubling both masses, how will the tension in the string and the acceleration of the cart change?
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The final velocity of a rock dropped from the Empire State Building was 100 m/s. How much time did it take to reach the ground? (neglect air resistance)
Answer:
t= 10 seconds
Explanation:
Using the equation of motion with constant acceleration v=u+at
where t is time
a is acceleration of gravity
u is initial speed and f is final speed.
take the downward direction as negative
[tex]u = 0 \\ v = - 100 \frac{m}{s} \\ a = - 10 \frac{m}{{s}^{2} } [/tex]
then
[tex] - 100 = 0 - 10t \\ - 100 = - 10t \\ t = 10s[/tex]
If the earth had three times the radius but the same mass, how would this change the weight of the object?
Answer:
It will be 1/9 of its previous value
Explanation:
Weight = mass x gravity
Gravity = GM / r² (G is the constant)
Since the new radius is three times r, we plug in 3r:
New gravity = [tex]\frac{GM}{(3r)^{2} }[/tex]
Since the new gravity is 1/9th of the original gravity, the new weight is 1/9th the original weight.
find the resultant of the following vectors
1. 100N,37 degree east of north+60N.west
2. 100N,37 degree west of north+50N,53 degree east of north
The resultant vector of 1. 130N and 2. 155 N respectively.
A resultant vector is described as a single vector that produces the identical effect as is produced through a number of vectors collectively.
1. 100 N, 37° east of north + 100 N 60°North -west
Let Force₁ = 100 N sin37°
= 100 N × 4/5
= 80 N North
Force₂ = 100 N cos 60°
= 100 N × 1/2
= 50 N
Now, the angle between F₁ and F₂ is 0
Resultant force = [tex]\sqrt {F₁^{2} +\sqrt F₂^{2} + 2abcos°}[/tex]
= [tex]\sqrt{(80)^{2} +(50)^{2}+2*80*50}[/tex]
= [tex]\sqrt{6400+2500+8000}[/tex]
= [tex]\sqrt{16900}[/tex]
= 130N
2. 100N, 37° west of north + 50N,53° east of north
Force₁ = 100N, 37° west of north
=100N cos 37°
= 100N × 5/4
= 125 N north
Force₂ = 50N,53° east of north
= 50N cos 53°
= 50N × 3/5
= 30N
The angle between F₁ and F₂ is 0°
Resultant force = [tex]\sqrt {F₁^{2} +\sqrt F₂^{2} + 2abcos°}[/tex]
= [tex]\sqrt{(125)^{2} +(30)^{2}+2*125*30}[/tex]
= [tex]\sqrt{15625+900+7500}[/tex]
= [tex]\sqrt{24025}[/tex]
= 155 N
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What characteristic of waves caused the bridge to collapse?
The characteristics of sound waves include wavelength, amplitude, frequency, and velocity which can cause of bridge collapse.
How waves caused the bridge to collapse?When the prevalence of a wave matches the Natural frequency of the bridge the swing of the bridge can be made up in amplitude up to the point of causing its destruction. This phenomenon is called Resonance. No matter whether you are talking about vibrations or waves, all of them can be characterized by the following four characteristics: amplitude, wavelength, frequency, and speed. The most similar causes of bridge failure are the lack of structure and design, corrosion, construction, and supervision error, accidental overload, impact, scour, and lack of maintenance or inspection.
so we can conclude that Wave characteristics include frequency, period, wavelength, and amplitude that can collapse a bridge.
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Johnny is getting into building and launching model rockets. In designing a rocket, he has to select an engine based on how much force it produces. If his rocket has a mass of 5.00 kg and he wants it to have an acceleration of 28.8 m/s2, how much force in Newtons does the engine need to produce? (Answer should have 3 significant figures.)
In designing a rocket to select an engine based on how much force it produces, the engine need to produce 144 N force.
Equation :Force applied on launching model rockets is calculated by the formula,
F = m*a
where,
F is the force of engine
m is the mass
a is the acceleration
The given data are :
m = 5 Kg
a = 28.8 m/s²
F = ?
Now, putting the values in the formula we get,
F = 5 Kg x 28.8 m/s²
F = 144 N
So, In designing a rocket to select an engine based on how much force it produces, the engine need to produce 144 N force.
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complete the following statement: the maximum speed at which a car can safely negotiate a frictionless banked curve depends on all of the following except
The angle of banking does not affect the maximum speed at which a car can safely negotiate a frictionless banked curve.
What is a banked curve?We know that when a car is trying to negotiate a curve, the car is undergoing a circular motion at the bend. The car is tending to move around the bend and then emerge at the other side. Sometimes the bend is made a bit or somewhat steeper at a give angle and this can help the cars to negotiate the ben successfully without skidding off the road.
We know that we can obtain the maximum velocity of the motion of the car as it negotiates the bend using thee formula;
v = √mgr/h
v = velocity
m = mass
g = acceleration due to gravity
r = radius
h = height
It the follows that the maximum speed at which a car can safely negotiate a frictionless banked curve depends on all of the following except the angle of banking.
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Missing parts;
Complete the following statement: The maximum speed at which a car can safely negotiate a frictionless banked curve depends on all of the following except
A. the diameter of the curve.
B. the acceleration due to gravity.
C. the angle of banking.
D. the mass of the car.
E. the radius of the curve.
the mean time between collisions in iron is 5.2×10−15 what electron current is driven through a 2.4- mm -diameter iron wire by a 0.070 v/m electric field? express your answer as a number of electrons per second.
The electron current driven through a 2.4 mm diameter iron wire by a 0.070 v/m electric field is 24.34 * [tex]10^{18}[/tex] electrons / s
I = n A e [tex]v_{d}[/tex]
[tex]v_{d}[/tex] = т e E / m
I = Current
n = Free electron density
A = Area
e = Charge
[tex]v_{d}[/tex] = Drift velocity
т = Mean time
E = Electric field
m = Mass of charge
т = 5.2 * [tex]10^{-15}[/tex] s
d = 2.4 mm
r = 1.2 mm = 1.2 * [tex]10^{-3}[/tex] m
E = 0.07 V / m = 0.07 N / C
e = 1.6 * [tex]10^{-19}[/tex] C
m = 9.1 * [tex]10^{-31}[/tex] kg
A = π r²
A = 3.14 * ( 1.2 * [tex]10^{-3}[/tex] )²
A = 4.52 * [tex]10^{-6}[/tex] m²
[tex]v_{d}[/tex] = ( 5.2 * [tex]10^{-15}[/tex] * 1.6 * [tex]10^{-19}[/tex] * 0.07 ) / ( 9.1 * [tex]10^{-31}[/tex] )
[tex]v_{d}[/tex] = ( 0.58 * [tex]10^{-34}[/tex] ) / ( 9.1 * [tex]10^{-31}[/tex] )
[tex]v_{d}[/tex] = 63.7 * [tex]10^{-6}[/tex] m / s
n = ( Avogadro's number * Density ) / Atomic mass
Avogadro's number = 6.023 * [tex]10^{23}[/tex] atoms / mole
Density of copper = 8.92 * 10³ kg / m³
Atomic mass = 63.5 * [tex]10^{-3}[/tex] kg / mole
n = 8.46 * [tex]10^{28}[/tex] / m³
I = n A e [tex]v_{d}[/tex]
I = 8.46 * [tex]10^{28}[/tex] * 4.52 * [tex]10^{-6}[/tex] * 1.6 * [tex]10^{-19}[/tex] * 63.7 * [tex]10^{-6}[/tex]
I = 3897.34 * [tex]10^{-3}[/tex]
I = 3.9 A
I = 3.9 * 6.242 * [tex]10^{18}[/tex] electrons / s
I = 24.34 * [tex]10^{18}[/tex] electrons / s
Therefore, the electron current driven through the iron wire is 24.34 * [tex]10^{18}[/tex] electrons / s
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A person bungee jumped off a cliff. Two seconds after the jump, the person’s velocity was 40 m/s. Five seconds after the jump, what was the final velocity? (neglect air resistance)
Gravity causes an object to fall toward the ground more quickly the longer it is in free fall. In reality, an object's velocity increases by 9.8 m/s, and by the time it starts to fall, it has already reached 9.8 m/s.
All matter is impacted by a force called gravity in the universe. Any two non-zero mass objects or particles will gravitationally gravitate toward one another. Gravity has an impact on objects of all sizes, from subatomic particles to galaxy clusters.
Speed after 2 seconds = 40m/s
Since falling causes velocity to increase by 9.8m/s,
Speed 5 seconds after the jump = 40 + (3 * 9.8)
= 69.4 m/s
When an object is moving, its velocity serves as a measure of how quickly its location is changing as it is perceived from a given point of view and as time is measured using a specific unit of measurement.
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