The distance covered by Usain Bolt in meters is 1200 meter.
Speed is defined as the distance travelled or covered in a particular time period. Speed is a scalar quantity as it does not specify the direction of motion, whereas velocity is the vector counterpart of speed as velocity specifies the direction of motion of the object or body or anything concerned with the motion.
Speed is given by the equation,
speed= distance traveled/time taken --- equation(1)
so we can calculate distance from equation(1) as ,
distance traveled= speed × time taken --- equation(2)
here,
speed is given as 12 m/s and time taken is given as 100 seconds
Therefore from equation(2)
distance traveled = 12m/s×100s=1200m
that is , the distance covered by Usain Bolt is 1200 meters.
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what is the maximum value the string tension can have before the can slips? the coefficient of static friction between the can and the ground is 0.60.
It will take 3.07 m long to reach at its maximum value
The volleyball will reach at the maximum height at 0.673 s after it is served.The Calculating for the height the volleyball will reach before going to downwards. Therefore the volleyball will do have a maximum value of 3.07 m with respect to the ground.
3.78 m Ignoring resistance, the ball will travel upwards until it's velocity is 0 m/s. So we'll first calculate how many seconds that takes.
7.2 m/s / 9.81 m/s^2 = 0.77945s
The distance traveled is given by the formula d = 1/2 AT^2, so substitute the known value for A and T, giving
d = 1/2 A T^2 d = 1/2 9.81 m/s^2 (0.77945 s)^2 d = 4.905 m/s^2 0.607542 s^2 d = 2.979995
m So the volleyball will travel 2.979995 meters straight up from the point upon which it was launched. So we need to add the 0.80 meters initial height.
d = 2.979995 m + 0.8 m = 3.779995
m Rounding to 2 decimal places gives us 3.78 m.
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what is the net torque about the axle? express your answer in newton-meters to two significant figures.
The net torque in the above case would be 0.2 N m
T = r x F net
T = 0.02 x (30-20)
T = 0.2 N m
What is net torque in physics?
Net Torque can be defined as one force acting on an object to cause torque. It is the sum of the individual torques. The standard unit is Newton meters, or Nm. It can be either static or dynamic. The daily examples of torques include opening a bottle cap or turning a steering wheel.
Applications of torques include
Seesaws and WrenchesGyroscopesA pendulum or a parachute is applying torque when swingingA person riding a bicycleFlag flying on a mastThis is how net torque is used in the above case.
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5. A car travels at a steady speed of 80kmh-1. How far will it travel in 900 seconds?
Answer:
below
Explanation:
3600 seconds in an hour
900 sec / 3600 sec/hr = .25 hr
80 km /hr * .25 hr = 20 km
What exerts a force that causes other electric charges to move.
causes other electric charges in the electric field to move. When a charge is placed in an electric field, the field will either pull or push the charge.
What propels the charges forward?A charge moves, transferring energy that can be put to use for work. The force of attraction or repulsion between charged particles is what moves a charge because it is the same force that builds up a charge in the first place.
The electric charge is pushed by what?An electric field pushes the charges forward. We require an electric potential (voltage) source to force electrons from a point of low potential energy to one of higher potential energy.
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Ebo throws a ball into the air its velocity at the start is 18m/s at an angle of 37° to the ground. What is the range of the ball
The range of the ball, given that it was thrown with a velocity of 18 m/s at an angle of 37 ° is 31.78 m
How to determine the range of the ball?The range of the ball can be obtained by using the following formula:
R = u²Sine(2θ) / g
Where
R is the rangeu is the initial velocity θ is the angle of projectiong is acceleration due to gravityFrom the question given above, the following data were obtained:
Initial velocity (u) = 18 m/sAngle of projection (θ) = 37 ° Acceleration due to gravity (g) = 9.8 m/s²Range (R) =?The range of the ball can be obtained as follow:
R = u²Sine(2θ) / g
R = 18² × Sine (2×37) / 9.8
R = 31.78 m
Thus, the range of the ball is 31.78 m
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What is the density of an object with a mass of 40.0g and a volume of 80.0cm3?
Density of liquids and gases.
Data:
d = ?
m = 40.0 g
v = 80.0 cm³
The formula for the density of liquids and gases
d = m/v
Since it asks us to calculate the density, it is not necessary to clear the formula. We just substitute data and solve.
d = 40.0 g/80.0 cm³
d = 0.5 g/cm³
The density of an object with a mass of 40.0 g and a volume of 80.0 cm^3 is 0.5 g/cm^3.By how much does the density of air increase when it is compressed to half its volume?.
When the air is compressed to half its volume the density gets doubled.
What is density?Density refers to mass of matter per unit volume. The most common symbol for density is ρ. Density provides a convenient means of obtaining the mass of an object from its volume and vice versa. A change in the mass or volume of an object can change the density of the object. So, when volume increases density decreases simultaneously.
Since, Density = Mass/ Volume
If the volume is compressed to half i.e. V/2 then,
ρ = M/(v/2)
ρ = 2M/V
Hence, density gets twice it's original value when we lower the volume to half.
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two ropes support a load of 663 kg. the two ropes are perpendicular to each other, and the tension in the first rope is 1.94 times that of the second rope. find the tension in the second rope. the acceleration of gravity is 9.8 m/s 2 . answer in units of n.
Formulas for the balancing of forces
Examine the force diagram in the graph that is attached:
∑Fx=0
T1sen - T2cos = 0 Equation
∑Fy=0
T1cos ∝ + T2sin ∝ - W = 0. Equation(2)
forces in the x and y directions,
Horizontal movement
T1*CosA=T2*Cos(90-A)
Vertical Movement
m*g = T1*SinA + T2*Sin(90-A) (2)
We also know that T1=1.91 and T2 (3)
Thus, the final equations are
T1*CosA=T2*Cos(90-A)
A=62.365235 degrees using (2) and substituting a value for (3)
460*9.8 = 1.91*T2 *Sin(62.365235) + T2 *Cos(62.365235)
T2 = 4508 / (2.1559) = 2090.96 N
T1 = 1.91*T2 = 3993.737 N
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The average density of the material in intergalactic space is approximately 2. 5 × 10^–27 kg/m^3. What is the volume of a gold sample, rho = 19 300 kg/m^3, that has the same mass as 8. 0 × 10^24 m^3 of intergalactic space?.
The Volume of gold with the given mass and density would be 1.03 X 10^-5 m^3.
Density of material = [tex]2.5 * 10^{-27}[/tex] Kg/m^3
Density of gold = 19300 kg/m^3
Volume of material = [tex]8 * 10^{24}[/tex] m^3
mass of material = [tex]2.5 * 10^{-27}[/tex] X [tex]8 * 10^{24}[/tex] Kg
= [tex]2 * 10^{-2}[/tex] Kg
Since we know that mass of gold sample is same as mass of material
mass of gold = [tex]2 * 10^{-2}[/tex] Kg
Volume Of Gold = Mass / Density of gold
= (2 * 10^-2) / (19300) m^3
answer = 1.03 X 10^-5 m^3
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a tow truck exerts a force of 450 lb on a car, causing it to accelerate at 10ft/s^2 . what is the mass of the car? group of answer choices 45 slugs 45 kg none of the above 45 lbm
Angle 32rad turn during that time if the angular acceleration is constant.
What is acceleration?
acceleration, rate at which the velocity changes with time, in terms of both speed and the direction. A point or else it's an object moving in a straighten line is accelerated if it is speeds up or slows down. Motion on a circle is the accelerated even if the speed is constant, because of the direction is continually changing.
Sol- In an uniformly accelerated circular motion, the angle traveled by the object is given by- ∆=wf+wo/2×t
Here wf is the final angular speed.
It is the initial angular speed and t is the time of the motion. Replacing the given values-
∆= 12 rad/s + 4 rad/s /2 (4s)
∆= 32rad .
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2. electrical appliances are usually grounded in order to (a) maintain a balanced charge distribution (b) prevent the buildup of heat on them (c) run properly using household electricity (d) prevent the buildup of static charges on their surfaces
Electrical appliances are usually grounded in order to-
(a) maintain a balanced charge distribution.
What is meant by Grounding?
By transferring electrons between one thing and a larger object, a process known as grounding allows one to reduce an object's excess charge.When an object is grounded, the excess charge is reduced due to the transfer of electrons from the grounded object to the ground.
A ground is essentially an object that acts as an apparently endless source of electrons. It has the ability to send electrons to or absorb electrons from charged objects in order to neutralize such objects.
Hence, the correct option is-
(a) maintain a balanced charge distribution.
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suppose the potential energy of the block at the table is given by mgh/3 . this implies that the chosen zero level of potential energy is __________.
suppose the potential energy of the block at the table is given by mgh/3. this implies that the chosen zero level of potential energy is a distance of 2h/3 above the floor.
In physics, potential power is the electricity held by way of an item due to its position relative to other items, stresses inside itself, its electric fee, or other factors. The term potential strength became brought by way of the 19th-century Scottish engineer and physicist William Rankine
Not unusual kinds of capacity strength consist of the gravitational capacity power of an object, the elastic ability strength of a prolonged spring, and the electric capability energy of an electric fee in an electric field. The unit for electricity in the worldwide gadget of units (SI) is the joule, which has the symbol J.
Because the paintings of capacity forces appearing on a body that actions from a beginner to a cease position are determined simplest with the aid of these positions and do no longer depend upon the trajectory of the body, there is a characteristic called capacity that can be evaluated at the two positions to determine these paintings.
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A 8.0-cm-long spring is attached to the ceiling. When a 2.2kg mass is hung from it, the spring stretches to a length of 18cm .
What is the spring constant k?
Express your answer to two significant figures and include the appropriate units.
How long is the spring when a 3.0 kg mass is suspended from it?
Express your answer to two significant figures and include the appropriate units.
The spring force comes out to be 220k/m and when the 3kg block is tied the extension in spring is 13.67cm.
Solution is attached.
What is Force-
According to physics. A force can cause an object with mass to accelerate when it changes its velocity, for as when it moves away from rest. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction. It is calculated using the newton SI unit (N). Force is denoted by the letter F. (formerly P).
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nichrome wire 85 cm long and 0.25 mm in diameter is connected to a 1.6 volt flashlight battery. what is the electric field inside the wire?1.88 correct: your answer is correct. v/m
The electric field will be 1.9 V /m
The length of the wire is l = 85.
The diameter of the wire is d = 0.25mm
.The voltage of the battery is V = 1.6 V.
(a) The expression for the electric field inside the wire is,
E=( V / L )
Substituting the given values in the above expression, we will get
E = 1.6V / 85cm ( 1m /100cm)
= 1.6V / 0.85 m
= 1.88 V / m
= 1.9 V / m
Hence, the electric field will be 1.9 V /m.
What do you mean by Electric Field ?
Electric field can be defined as an electric property which is associated with each point in the space where a charge is present in any form. An electric field is also described as the electric force per unit charge.
The formula of electric field is given as;
E = F /Q
Where,
E is the electric field.
F is a force.
Q is the charge.
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.
water is moving at a velocity of 2.00 m/s through a hose with an internal diameter of 1.90 cm. what is the flow rate in liters per second? (you do not need to enter any units.)
A hose's internal diameter is 1.90 cm, and the water is flowing through it at a speed of 2.00 m/s. 4021 liters per second (L/s) is the flow rate.
Describe some instances of velocity.The speed at which an object is moving in a certain direction is known as its velocity, to put it simply. Using a car traveling north on a highway as just an example, or a rocket once it has taken off as a speed example. According to the definition of a scalar, the absolute magnitude of the velocity vector is always equal to the speed of the motion.
In physics, what does the term "velocity" mean?A body's or an object's velocity determines which way it moves. Speed is often a scalar variable. Velocities are vector quantities in their most basic form. It gauges how quickly an area changes in distance. The displacement's pace of change is what matters. 1.90 cm, ter. In liters per second
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which of the following safety harnesses is the safest and most recommended when hunting from a treestand?
The best tree stand safety harness is the Hunter Safety System Hybrid Flex Safety Harness, with its awesome ElimiShield Scent Control Technology.
Moreover, These stands are designed to be attached directly to the tree. Hunters using a fixed or suspended stand must choose a method of climbing up and down from the platform. The safest and most used method is sectional ladders.
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an electron is confined to a region of space of the size of an atom (0.1 nm). (a) what is the uncertainty in the momentum of the electron? (b) what is the kinetic energy of an electron with a momentum equal to p? (c) does this give a reasonable value for the kinetic energy of an electron in an atom?
The uncertainty momentum of the electron is 5.28×10-24 kg.m/s and the kinetic energy is 95.5eV .
What do you understand by Heisenberg uncertainty principle?
Heisenberg uncertainty principle states that it is very difficult or impossible to measure the exact position as well as the momentum of a given object. This is mainly based on the wave particle duality of matter. This principle holds a significant value in the quantum world. This principle is for those particles which holds both particle as well as wave nature.
a) Heisenberg uncertainty principle :
ΔxΔp≥h/4π
where x = uncertainty position
p= momentum
h = planck's constant (6.63×10-34)
uncertainty in momentum = Δp
Δp= h/Δx4π
Given, Δx = 0.1 nm = 1.0 ×10-11 m
⇒6.63×10 -34/4π×1.0 ×10-11 m
⇒5.28×10-24 kg m/s
b) Δp = mΔv
m = mass of electron=9.11×10-31 kg
Δv= Δp/m
⇒5.28×10-24/9.11×10-31 kg
⇒5.79×10 6 m/s
Kinetic energy = 1/2 mv²
⇒1/2(9.11×10-31 kg)(5.79×10 6 m/s)²
⇒1.53×10 -17 J/ 1.6×10 -19 ×1 eV
⇒95.5eV
c) Yes, it gives a reasonable value for the kinetic energy of an electron in an atom.
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w1, w2 and w3 are the weights of three objects suspended by pulleys as shown. assuming the pulleys in this system are frictionless and weightless and that w3
The values of W1 and W2 if W1, W2 and W3 are the weights of three objects suspended by pulleys as shown are 8 N and 11.4 N respectively
∑ Fx = 0
T2x - T1x = 0
T1 cos 24° = T2 cos 50°
T1 = 0.7036 T2
To remain at rest,
T1 = W1
T2 = W2
∑ Fy = 0
T1y + T2y - W3 + T1 - W1 + T2 - W2 = 0
T1 sin 24° + T2 sin 50° - 12 = 0
( 0.7036 T2 ) sin 24° + T2 sin 50° = 12
0.286 T2 + 0.766 T2 = 12
T2 = 11.4 N
W2 = 11.4 N
T1 = 0.7036 * 11.4
T1 = W1 = 8 N
Therefore, the values of W1 and W2 are 8 N and 11.4 N respectively
The given question is incomplete. The complete question is:
W1, W2 and W3 are the weights of three objects suspended by pulleys as shown. W3 = 12 N and assume that the pulleys in this system are frictionless and weightless. Determine the values of W1 and W2. The free body diagram is shown in the image attached.
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What type of magnetism is present in a paper clip when it is attracted to a nearby bar magnet?.
Answer:magnetically polarized
Explanation:A steel paper clip near a magnet will be magnetically polarized by the magnet so that it is at least temporarily a magnet. If we use the magnetic pole model of magnets, the side of the clip near a North pole of a magnet will become a South pole, and the other side will become a North pole.
explain what you observed when you held the magnet close to the tube. why did the beam get deflected the way you observed? more specifically, why does it spiral instead of just changing the radius?
The magnetic field lines will combine when the magnet is closer to the the cathode ray tube, bending the beam of electrons as a result. The magnet pole orientation on either side of the cathode ray tube determines which way it bends.
what is magnrtic field lines?
Magnetic field lines are the lines that make up a magnetic field; their tangents at different points indicate the direction and amplitude of the field, respectively. The number of magnetic field lines affects how strong the magnetic field is.
B and H are used to denote the magnetic field. The SI units for B and H are Newtons per metre per ampere or Teslas, respectively.
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The magnetic field lines will combine when the magnet is closer to the the cathode ray tube, bending the beam of electrons as a result. The magnet pole orientation on either side of the cathode ray tube determines which way it bends.
What is magnrtic field lines?
Magnetic field lines are the lines that make up a magnetic field; their tangents at different points indicate the direction and amplitude of the field, respectively. The number of magnetic field lines affects how strong the magnetic field is.
B and H are used to denote the magnetic field. The SI units for B and H are Newtons per metre per ampere or Teslas, respectively.
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a garden hose attached with a nozzle is used to fill a 20-gallon bucket. the inner diameter of the hose is 1 inch and it reduced to 0.5 inches at the nozzle exit. if the average velocity in the hose is 8 ft/s, determine:
In order to calculate average velocity, divide the change in position or displacement (x) by the time intervals (t) during which the displacement takes place. Depending on the displacement's sign, the average velocity can either be positive or negative. metres per second is the average velocity SI unit.
acceleration: the rate at which the speed and direction of a moving object vary over time. When anything moves faster or slower, it is said to be accelerating or decelerating in a straight line. Since the trajectory is always changing, travel on a circle accelerates even while the speed is constant.
A1=(1/2)ˆ2 x 22/7
A1= 0.785
A2= 0.0625 x22/7
A2=0.196
V=(A1-A2)xv
V=0.589x8
V=4.72
= 8.33 / 4.72 mass flow rate
1.76 gal/s of mass flow
Duration: 20/1.76
duration: 11.36 seconds
A1v1=A2v2
A1v1/A2=v2
v2=8x0.785/0.196
v2=32.0 ft/s
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I need to know the why for the two questions.
4. If the moon falls, it does not get closer to earth due to the effect of gravity.
5. On increasing the mass of the sun then the earth's tangential velocity also increases.
4)Similar to how the earth orbits the moon, but because of the speed at which it caught up to the earth, the moon is prevented from colliding with the planet by the force of gravity.
Because of this, even though the moon is edging a tiny bit farther from our planet, it is kept in a pretentious orbit around it.
5) the earth tangential velocity increases if the mass of the sun increased.
Tangential velocity :It is the linear component of any object's speed that is travelling in a circle.
To keep an object moving uniformly in a circle, a stronger centripetal force is needed.4. If the moon falls, it does not get closer to earth due to the effect of gravity.
5. On increasing the mass of the sun then the earth's tangential velocity also increases.
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a 22.0 kg block is initially at rest on a horizontal surface. a horizontal force of 72.0 n is required to set the block in motion. after it is in motion, a horizontal force of 62.0 n is required to keep the block moving with constant speed. find the coefficients of static and kinetic friction from this information.
The work energy of speed is
1304.2 .
What is work energy ?
work energy is the most fundamental quantity of physics . Work is said to be done when a force applied to an object cause a displacement of a object.
Solution -
As per the given-
Mass of runner m = 74kg
Initial velocity of runner u=4.8 m/s
Final velocity of runner v =0
Coefficient of friction ¥=0.7
Let's d be the distance moved by runner till the stop.
a- mechanical energy lost due to friction
As friction does negetive work causing the runner to stop.
As we know,
Mechanical energy lost= Kinetic energy of runner
Mechanical energy lost =
1/2 mv^2 = 1/2 ×74×4.8^2=852.2
Distance move by runner-
Work done by friction = mechanical energy lost
-¥×mg×d =852.2 j
-0.7×74×9.8×d = -491.2
Solving the equation we get
1304.2.
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Gold has a density of 19,300 kg/m³. Calculate the mass of 0.02 m³ of gold in kilograms.
a truck has four times the mass of a car and is moving with twice the speed of the car. if kt and kc refer to the kinetic energies of truck and car respectively, it is correct to say that
The velocity of the car is 46.48 m/s.
What is velocity?
velocity is directional speed of a object in motion as an induction of it's rate of change in position observed from a particular frame of reference and as measured by a particular standard of time.
Sol- The linear momentum of a body is defined as the product of its mass and its velocity, given by-
P = mv
According to the question the momentum of the truck is-
Pr=2250×25 kgm /s
Pr=56250 kgm/s
Now we can see the momentum of the car and the truck must be same that is Pc=Pr
1210×v =56250 kgm/s
v= 56250/1210
v= 46.48 m/s
Thus the velocity of the car is 46.48m/s .
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Explain how the model shows selective permeability of the membrane to specific ions.
The model depicts two types of distinct, water-soluble ions—solid and spotted—but only the solidly coloured ions traverse the membrane channel into the cell, demonstrating the selective permeability of the membrane to particular ions. Since the membrane is only selectively permeable to the solid coloured ions in this instance, the dotted ions cannot pass through it.
Define selective permeability?
Selective permeability describes the plasma membrane's capacity to let some chemicals pass through while preventing others.Through the plasma membrane's selective permeability, the cell may control the admission of chemicals.Passive or energetic passage of substances across the membrane are both possible.
Similar conditions must be met for substances to flow through the plasma membrane; for example, glucose must be carried into the gate while tiny, non-polar molecules like oxygen and carbon dioxide can pass through with ease.
Because of its composition and structure, the plasma membrane exhibits selective permeability. A phospholipid bilayer makes up its structure.
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a projectile is launched horizontally from a height of 65 meters with an initial horizontal speed of 35 meters pre second. what is the projectile's horizontal speed after it has fallen 25 meters? 22 m/s 35 m/s
Answer: 35m/s
Explanation: answer from castle learning
A projectile is launched horizontally from a height of 65 meters with an initial horizontal speed of 35 meters pre second. projectile's horizontal speed after it has fallen 25 meters is 35 m/s.
what is speed ?Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude.
The formula of speed is represented as s=d/t, Where, s is the speed in m.s-1, d is the distance traveled in m, t is the time taken in s
There are four types of speed such as Uniform speed, Variable speed, Average speed, Instantaneous speed
Uniform speed is an uniform speed when the object covers equal distance at equal time intervals, variable speed is defined as when the object covers a different distance at equal intervals of times.
Average speed is defined as the uniform speed the ratio of total distance travelled by an object to the total time taken by the object.
Instantaneous speed is defined as an object is moving with variable speed, then the speed at any instant of time is known as instantaneous speed.
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An object of mass 10 kg is placed on a frictionless incline of 25°. Deduce how many seconds it would take to travel down a 5.0 m incline from rest.
MAIN ANSWER- [tex]5/\sqrt{21} sec[/tex]
supporting answer-When a body is moving, it experiences resistance because it interacts with its surroundings. This resistance is a friction force. Friction opposes relative motion between systems in contact but also allows us to move, a concept that becomes obvious if you try to walk on ice. Friction is a common yet complex force, and its behavior still not completely understood. Still, it is possible to understand the circumstances in which it behaves.
body of the answer- a block of mass m with 10kgs is sliding on a inclined plane with frictionless surface
final answer- [tex]5/\sqrt{21} sec[/tex]
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Which indicates what happens to the kinetic energy of an object when its speed increases?.
The kinetic energy increases by the square of the same factor as the speed increase.
Kinetic energy only changes when speed changes. Speed is only related to the size of an object. Kinetic energy increases as speed increases. All moving objects have the same kinetic energy.
The equation for Kinetic Energy is:- KE = 1/2 mv².
Kinetic energy has a direct relationship with mass, meaning that as mass increases so does the Kinetic Energy of an object. The same is true of velocity.
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when water is cooled and circulated throughout the building to air-heat exchange coils, the water is referred to as a(n
Water is referred to as a secondary refrigerant when it is cooled and circulated all through the building to higher ventilation coils.
How do secondary refrigerants work?With the help of secondary refrigerants, the quantity of primary refrigerants that are bad for the environment can be kept to a minimum and contained. In contrast to conventional refrigerants like HCFCs, secondary refrigerants, such as water, air, hydrocarbons, ammonia, and carbon dioxide, are less harmful to the environment.
Why are secondary refrigerants advantageous?The benefits of using refrigerants for industrial cooling include having a low primary refrigerant charge, preserve and enhance by limiting the use of the primary refrigerant to the engine compartment, a secondary pipe system that may occasionally be smaller, and the ability to use alternative insulations.
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