The normal force decreases as the angle of the incline increases, which reduces the frictional force.
By using the normal force of the plane to offset the gravitational force, inclined planes also enable the safe vertical descent of heavy, fragile objects, including people. Moving an object uphill requires force because an inclined plane increases the force that the user applies. An inclined plane is a straightforward device that consists of a sloping surface connecting two elevations. It is employed to transport objects more conveniently to higher elevations.
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the uniform beam has a weight w and length l and is supported by a pin at a and a cable bc.
Accordingly, the response at A in a vertical direction weight is W(2cosϕsinθ−sinϕcosθ)/2sin(θ−ϕ).
If you hang the wire from the ceiling while placing a weight on the lower end, it will sag. By dividing the length change by the starting length, the strain in the wire may be computed. By dividing the weight suspended from the wire by its cross-sectional area, the tensile tension in the wire is determined. Stress and strain have a defined ratio.
Modulus is a fundamental characteristic of industrial yarn and thread for wire and cable, especially aramid yarns (fiber elasticity). The relationship between strain (the ratio of deformation over initial length along an axis) and stress (force per unit area along that axis) is referred to as modulus.
In conclusion, cross-linking improved elastic modulus, decreased strain to failure, and had negligible effect on collagen fracture stress in the current experimental design.
The questions is incomplete I answered it in general way
The uniform beam has a weight W and length l and is supported by a pin at A and a cable BC. (Figure 1) Determine the horizontal and vertical components of reaction at A. Express your answers in terms of some or all of the variables W, l, phi and theta. Enter your answers separated by a comma.
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a shot-putter accelerates a 5 kg shot put from rest to 11.2 m/s in a distance of .5 m. find the following: what is the work done on the shot put? what is the force exerted by the shot-putter? what power did the shot putter use?
(a) The work done by the shot-putter is 313.6 J.
(b) The force exerted by the shot-putter is 627.2 N.
(c) The power used by the shot putter is 7024.6 Watt.
What is the work done by the shot-putter?
The work done by the shot-putter is equal to the change in the kinetic energy of the shot-put.
W = ΔK.E
W = ¹/₂m(v² - u²)
where;
m is the mass of the shot-putv is the final velocity of the shot-putu is the initial velocity of the shot-put = 0 (since it started from rest)W = ¹/₂m(v² - 0)
W = ¹/₂mv²
W = ¹/₂(5)(11.2)²
W = 313.6 J
The force exerted by the shot-putter is calculated as follows;
W = Fd
where;
F is the applied forced is the displacement of the shot-putF = W / d
F = ( 313.6 J ) / (0.5 m)
F = 627.2 N
The power used by the shot putter is calculated as follows;
P = Fv
P = (627.2 N) x (11.2 m/s)
P = 7,024.6 Watt
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a force f is exerted on a 5 kg block to move it across a rough surface, as shown above. the magnitude of the force is initially 5 n, and the block moves at a constant velocity. while the block is moving, the force is instantaneously increased to 12 n. how much kinetic energy does the block now gain as it moves a distance of 2 m?
Right-left = ma, 5-friction=0 ,friction = 5,Work Net = change of kinetic energy,Fx-fx= change of kinetic energy,12 (2) - 5 (2) = change of kinetic energy,24-10 = change of kinetic energy.
Which one of the following scenarios involves the object's kinetic energy decreasing?When a baseball is thrown at such an angle and is traveling upward, its kinetic energy will decrease because gravity is working against the ball's motion to slow it down and change it from kinetic energy to potential energy.
Which one of the following best illustrates how the Earth-book system's overall mechanical energy changed?Because the author's kinetic energy does not change when it is brought to the table, the total mechanical force remains constant.
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How do you calculate ammeter reading?
Voltmeters are typically connected in parallel because they have high resistance, while ammeters are typically connected in series to measure current since they have low resistance and the voltage drop would be minimal.
How to read ammeter reading?Ammeter resistance is typically in the range of 0.5 ohm.However, when we connect as indicated, 10 ohm and 0.5 ohm are in parallel, resulting in a 40 amp current in the ammeter and a 2 amp current in the 10 ohm resistor. As a result, the ammeter will read 40 amp even if only 2 amp of current is flowing through the 10 ohm resistance.An ammeter is a device used to gauge the current flowing through a circuit. Amperes are units used to measure electric currents, therefore the name. The ammeter is connected in series with the circuit being used to measure the current for direct measurement.For more information on ammeter kindly visit to
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Which forces could be used to conduct a simple experiment that tests the effect of force on an object?
Answer: electrostatic force
Explanation:
electrostatic forces pull or push on objects without touching them, which is how when you rub some materials together they can result in something called a 'charge', being moved from point A to point B.
I need help in this question
The only true statement about the toy car is " the toy does not approach the spring".
option A is the correct answer.
What is the acceleration of the toy car?The acceleration of the car is calculated by applying Newton's second law of motion, which states that the force applied to an object is directly proportional to the product of mass and acceleration of the object.
F - Ff = 0
F = Ff
ma = μmg
a = μg
where;
a is the acceleration of the carμ is the coefficient of frictiong is acceleration due to gravitya = 0.14 x 9.8 m/s².
a = 1.37 m/s²
The distance traveled by the car before stopping is calculated as follows;
v² = u² - 2as
where;
v is the final velocity of the caru is the initial velocitys is the distance travelledwhen the car stop's the final velocity, v = 0
0 = u² - 2as
2as = u²
s = u²/2a
s = ( 2² ) / ( 2 x 1.37 )
s = 1.5 m
Thus, the final distance travelled by the car is less than 3 m, hence the car did not come in contact with spring.
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can somebody answer this
Based on the given diagram that contains four items with a predefined mass, it is stated that the four items which are: sponge, glass, eraser and steel are submerged in water for 30 minutes, when they are all brough out, the item that would likely have an increase in weight is the sponge.
What is Weight?This refers to the term that is used to describe and define the force exerted by gravity on an object. The gravitational force acting on the item is referred to as weight in several common textbooks. Some people refer to weight as a scalar quantity that measures the gravitational force's strength.
Hence, it can be seen that a sponge is a foamy material that absorbs water, unlike the other materials and this is the material that would feature an increase in weight after being submerged in water for 30 minutes.
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In the meeting of the Gram Sabha so far, what are the problems that are being discussed? What sort of solutions is being suggested?
Answer:
The problems discussed in the meeting of the Gram Sabha are: (i) Construction and maintenance of village roads and waterways, constructions of culverts on them and planting of trees, maintenance and repair of public wells, tanks and pits
Explanation:
Piping water from the Suru river and making an overhead tank in the villages.
(ii) Deepening the handpumps and cleaning the wells.
(iii) Conserving water and recharging it.
(iv) Name of Om Prakash should be in the BPL list.
What is spectrum of thermal radiation in micro meter Mcq?
From of the longest infrared light through the visible light spectrum to a shortest ultraviolet rays, thermal radiation spans the entire electromagnetic spectrum.
The electromagnetic spectrum is what, Mcq?
In increasing frequency and decreasing wavelength order, radio waves, microwave, infrared, visible light, ultraviolet radiation, X-rays, gamma rays, and cosmic rays make up the full electromagnetic spectrum.
What is thermal radiation, exactly?Thermal radiation is the process of transferring heat through electromagnetic radiation that is produced by thermal motion of matter particles.This electromagnetic radiation is located in the infrared portion of the spectrum, which is invisible to most Earthly bodies.
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the (nonconservative) force propelling a 1.50 x 103 kg car up a mountain road does 4.70 x 106 j of work on the car. the car starts from rest at sea level and has a speed of 27.0 m/s at an altitude of 2.00 x 102 m above sea level. calculate the work done on the car by the combined forces of friction and air resistance, both of which are nonconservative forces.
Work done by friction and air resistance -780,000 Joules. Since the work done by the combined forces of friction and air resistance is negative, this means that these forces are doing negative work on the car, which means that they are slowing the car down.
The work done on the car by the force propelling it up the mountain road is given by W = Fd, where F is the force and d is the distance over which the force is applied. Since the force is nonconservative, the work it does on the car is not equal to the change in the car's kinetic energy. Instead, the work done by the force propelling the car is equal to the change in the car's potential energy plus the work done by the nonconservative forces of friction and air resistance.
To find the work done by the combined forces of friction and air resistance, we can use the following equation:
Work done by friction and air resistance = change in kinetic energy - change in potential energy
We can find the change in the car's kinetic energy by subtracting its initial kinetic energy (0 Joules, since it starts from rest) from its final kinetic energy. The final kinetic energy of the car is given by
[tex]KE = \frac{1}{2} mv^2[/tex]
where m is the mass of the car and v is its speed. Plugging in the values, we get:
[tex]KE = (1/2)(1.50 * 103 kg)(27.0 m/s)^2 = 2.16 * 105[/tex] joule
The change in the car's potential energy can be found by subtracting its initial potential energy (which is 0 Joules at sea level) from its final potential energy. The final potential energy of the car is given by
PE = mgh,
where m is the mass of the car, g is the acceleration due to gravity, and h is the height of the car above the ground. Plugging in the values, we get:
PE = (1.50 x 103 kg)(9.8 m/s²)(2.00 x 102 m) = 2.94 x 105 Joules
Substituting these values into the equation above, we get:
Work done by friction and air resistance = (2.16 x 105 Joules) - (2.94 x 105 Joules) = -780,000 Joules
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A 600-kilogram space vehicle travels at 4. 8 meters per second along the level surface of mars. If the magnitude of the gravitational field strength on the surface of mars is 3. 7 newtons per kilogram, the magnitude of the normal force acting on the vehicle is.
The magnitude of the normal force acting on the vehicle in mars is 2,220 N
The mass of the vehicle = 600 kg
The speed at which the space vehicle travels = 4.8 m/s
The gravitational field strength = 3.7 N/kg
The magnitude of the force acting on the vehicle can be found using the formula,
F = mg
where F is the force acting on the vehicle
m is the mass of the vehicle
g is the gravitational strength.
Let us substitute the known values in the above equation, we get
F = 600 x 3.7
= 2,220 N
Therefore, the force acting on the vehicle is 2,220 N
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Identify the following as Newton's 1st, 2nd, or 3rd Law.
All dropdowns have the same options.
This is finance literacy help me ASAP!!!!
Your marital status, health information, shopping patterns, financial transactions, income, account balances, criminal history, and level of education are not included in your credit report. Thus, option C is correct.
What are the item are found in credit report?Your credit report contains personal information, credit account history, credit queries, and public records. These details will be provided to the credit reporting agencies by your creditors and lenders. A significant portion of information is utilized to determine your Scores, which tell prospective lenders how creditworthy you are.
All credit reports contain essentially the same types of information, even if Experian, Equifax, and TransUnion format and publish your information differently.
Therefore, The amount of money in your checking account.
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you may have noticed that when you compress a bicycle pump, the body of the pump gets warmer. a) what is the sign of
The sign of q, or the heat transfer, for the process of compressing the air in a bicycle pump, is positive. This means that heat is being transferred into the system, in this case, the air in the pump.
When a gas is compressed, the molecules collide more frequently and with greater force, which increases the temperature of the gas. This increase in temperature is due to the transfer of heat from the surroundings (in this case, the body of the pump) into the gas.
The sign of q can be determined using the first law of thermodynamics, which states that the change in internal energy of a system is equal to the heat added to the system minus the work done by the system.
If heat is added to the system, q is positive, and if heat is removed from the system, q is negative. In the case of compressing the air in a bicycle pump, the internal energy of the system (the air in the pump) increases, which means that q is positive.
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The question is -
You may have noticed that when you compress the air in a bicycle pump, the body of the pump gets warmer. What is the sign of q for this process?
the diagram shows an athlete crossing the finishing line in a race. as she crosses the finishing line, her speed is 10 m/s. she slows down to a speed of 4 m/s.
a)the mass of the athlete is 71 kg. calculate the impulse applied to her as she slows down.
Answer:
The impulse applied to the athlete as she slows down is 28 N*s.
Explanation:
To calculate the impulse applied to the athlete as she slows down, we can use the equation:
impulse = force * time
Since the force applied to the athlete is equal to her mass times her acceleration, we can also express the impulse as:
impulse = mass * (vf - vi) / time
Plugging in the values given in the question, we get:
impulse = 71 kg * (4 m/s - 10 m/s) / time
Solving for impulse, we get:
impulse = 28 N*s
Therefore, the impulse applied to the athlete as she slows down is 28 N*s.
Why 3 define the term frequency?
Frequency, in physics, the number of waves that pass fixed point in unit time; also, the number of cycles or vibrations undergone during one unit of time by a body in periodic motion.
What is frequency?
The definition of frequency says that it is the number of complete cycles of a wave passing through a point per unit time.The SI unit of the frequency is Hertz (Hz).Frequency of a sine wave as the number of complete oscillations made by any wave element per unit time.A frequency is in periodic motion, it has gone through one cycle after passing through a series of events or positions and returning to its original state.To know more about frequency, click the link given below:
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What is the value of threshold voltage in 180nm technology node?
The threshold voltages for NMOS transistors in the 180 nm technology are Vth,r = 0.592 V and Vth,n = 0.068 V.
What does technology with a 180 nm mean?Leading semiconductor firms, first with TSMC and Fujitsu, then Sony, Toshiba, Intel, AMD, Texas Instruments, and IBM, commercialized the 180 nm process, a MOSFET (CMOS) semiconductor process technology, between 1998 and 2000.
What is Threshold voltage?The Threshold voltage at which a sizable current begins to flow from the source to the drain is referred to as the threshold voltage.
A thin inversion layer that separates the insulating from the real body of a transistor is typically used to build a threshold voltage. The region's surface is covered with tiny holes that are positively charged, and when electricity is applied, the particles in these spaces are repelled.
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Two blocks X andY of weights 8 N and 2 N
respectively are suspended by two strings as
shown. A downward force of 4 N is applied to Y.
Find the tensions T1 and T2 in the two strings.
Explanation:
are A and B really the only options ?
because they are wrong.
on T1 everything hangs : x and y and the additional 4 N.
T1 = 8 + 2 + 4 = 14 N
on T2 only the weight of y and the additional 4 N pull down.
T2 = y + 4 = 2 + 4 = 6 N
What are the formulas to calculate energy wavelength and frequency?
Energy (E) is related to wavelength (λ) and frequency (ν) according to the equation E=hν, where h is Planck’s constant (6.626 × 10-34 J-s).
What is wavelentgh?Wavelength is the distance between two successive peaks or troughs of a wave, such as light, sound, or other forms of energy. It is measured in meters or nanometers and is related to the frequency of the wave, as the frequency is inversely proportional to the wavelength. Wavelength can also be used to describe the physical size of an object, such as a particle or cell.
The equation for calculating wavelength (λ) is λ=c/ν, where c is the speed of light (3.0 × 10⁸ m/s). The equation for calculating frequency (ν) is ν=c/λ. Therefore, the formulas for calculating energy wavelength and frequency are:
Energy (E) = hν
Wavelength (λ) = c/ν
Frequency (ν) = c/λ
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If you catch the ruler 8.3 cm from the lower end, what is your reaction time?
Answer:
3*3-४3*74-7%**&-*%३;9८32&*7५३३6
What are genetic diseases give one example?
A genetic disease is an example, such as sickle cell anemia. The organelles that house our genes are called chromosomes. Chromosome disorders include Down syndrome.
What causes genetic illness?A genetic disorder is a condition that is wholly or partially brought on by a deviation from the typical DNA sequence.
What exactly are genetic illnesses?Genetic illnesses result from changes or anomalies in an organism's genome. A gene mutation can affect one or more genes, leading to a genetic disorder. Changes in chromosomal structure or number may also be to blame. Genes are the basic unit of heredity.
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a flat coil of wire consisting of 240 turns, each with an area of 40 cm, is positioned perpendicularly to a uniform magnetic field that increases its magnitude at a constant rate from 0.27 t to -0.77 t in 5.3 s. if the coil has a total resistance of 22 , what is the magnitude of the induced current when the field is -0.25 t?
magnitude of the induced current
where I = 0.5A
Briefing
Knowing that the formula for magnetic flux is = NBA
Here, N is the number of turns,
B is the magnetic field,
and A is the area of the loop.
Knowing that the coil's EMF will be induced by the rate of change in magnetic flux,
we may calculate it as EMF = NA db/dt.
To find the induced EMF,
we now plug in all values.EMF = 0.2
voltageTherefore, according to Ohm's rule,
Current = EMF/Resistance I = 0.2/0.40.
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A parallel-plate capacitor has a voltage v = 6.0 v between its plates. each plate carries a surface charge density σ = 7.0 nc/m2. what is the separation of the plates?
The separation of the plates in this parallel-plate capacitor is approximately 6.49 micrometers.
The separation of the plates in a parallel-plate capacitor can be calculated using the equation:
d = ε0 * ∆V/σ
where d is the separation of the plates, ε0 is the electric constant (also known as the permittivity of free space), ∆V is the potential difference between the plates, and σ is the surface charge density on the plates.
In this case, the potential difference between the plates is given as v = 6.0 V, and the surface charge density on the plates is given as σ = 7.0 nC/m^2. Plugging these values into the equation above, we get:
d = (8.85 x 10^-12 C^2/N*m^2) * (6.0 V) / (7.0 nC/m^2)
This simplifies to:
d = 6.49 x 10^-6 m
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What is maximum loading capacity?
The maximum amount of weight that we can load on a vehicle is known as maximum loading capacity.
The maximum loading capacity of any vehicle can be define as that maximum value of the weight of the body that we can load on the vehicle without damaging any part of the vehicle.
The maximum loading capacity of the vehicle is decided by doing certain experiments and observation by the makers and the manufacturers of the parts of the vehicle.
To avoid accidents and unfortunate events the maximum loading capacity is always higher than the prescribed limit of weight for the vehicle.
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A 60-kilogram runner has 1920 joules of kinetic energy. At what speed is she running?.
When an object is moved by a force at a constant speed over a rough, horizontal surface, the work against friction results in an increase in the object's
(1) Momentum (2) (2) Powerful potential (3) Translational Kinetic power (4) internal drive 4. The kinetic energy of a runner weighing 60.0 kg is 1920 joules. How fast is she running? Kinetic Power According to classical physics, kinetic energy (KE) is determined by multiplying the mass of an item by the square of its velocity, or 1/2*m. For instance, the kinetic energy of a mass of 10 kg traveling at a speed of 5 meters per second (v = 5 m/s) is equal to 125 joules, or (1/2 * 10 kg) * 5 m/s 2.
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An ice skater is spinning with her arms out and is not being acted upon by an external torque. a. When she pulls her arms in close to her body what happens to her angular momentum? b. When she pulls her arms in, what happens to her moment of inertia? c. What happens to her angular speed when she pulls her arms in? d. What happens to her rotational kinetic energy when she pulls her arms in?
When the ice skater pulls her arms in close to her body, her angular momentum remains the same because it is a conserved quantity. When the ice skater pulls her arms in, her moment of inertia decreases. When the ice skater pulls her arms in, her angular speed increases. When the ice skater pulls her arms in, her rotational kinetic energy increases.
When the ice skater pulls her arms in close to her body, her angular momentum remains the same because it is a conserved quantity. Angular momentum is defined as the product of the moment of inertia and the angular velocity of an object, and it is conserved as long as there is no external torque acting on the object. In this case, since the ice skater is not being acted upon by an external torque, her angular momentum will not change when she pulls her arms in.
When the ice skater pulls her arms in, her moment of inertia decreases. The moment of inertia of an object is a measure of its resistance to changes in its rotational motion, and it is directly proportional to the mass of the object and the distance of the mass from the axis of rotation. When the ice skater pulls her arms in, she reduces the distance of her mass from the axis of rotation, which decreases her moment of inertia.
When the ice skater pulls her arms in, her angular speed increases. This is because the decrease in her moment of inertia leads to an increase in her angular velocity, according to the equation:
ω = L / I
where ω is the angular velocity, L is the angular momentum, and I is the moment of inertia.
When the ice skater pulls her arms in, her rotational kinetic energy increases. This is because the rotational kinetic energy of an object is directly proportional to its moment of inertia and its angular velocity squared, according to the equation:
Krot = (1/2) * I * ω^2
Therefore, when the ice skater's moment of inertia decreases and her angular velocity increases, her rotational kinetic energy will also increase.
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Guidlines for replenishing fuel during endurance events includeA. consume 30 to 60 grams of carbohydrate per hrB. use only one type of carbohydrate to avoid gastrointestinal upsetC. use a protein supplement every 30 minsD. avoid fluid during exercise
The recommended range for refueling for endurance races is 30 to 60 grams of carbohydrates each hour.
The following are suggestions for refueling while exercising. Use a fat supplement every 30 minutes, and stay away from fluids while working out. During endurance activities, good hydration habits should be followed. eating liquids to make up for fluid lost during exercise and drinking freely for the 24 hours before to an event. Maintaining performance, preventing injury, and maintaining hydrate all depend on replacing lost salt from exercise. To figure out how much salt is lost during training, you don't need a sophisticated lab test. You ought to be able to avoid the dangers of sodium losses if you go by these recommendations and experiment to see what works.
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a car and a truck are each traveling at 20.0 m/s, and the car is 25 m behind the truck. the car driver decides to pass the truck, and he steps on the gas, producing an acceleration of 3.0 m/s2 . (a) how long will it be before the car is alongside the truck? (b) how fast will the car be moving relative to the truck when they are side by side? (c) how far will the car travel while reaching the truck? (d) how far will the truck travel in the same time?
a) It will travel 4.082 seconds before the car is alongside the truck
b)The car be moving at a speed of 12.246 m/s relative to the truck when they are side by side
c)The distance travelled by car is 106.64 m
d)The distance travelled by truck is 81.64 m
What is meant by relative motion?
The motion of one body when compared to another which is considered to be fixed is known as relative motion.
Initial velocity of the car ,u₁ = 20.0 m/s
Initial velocity of the truck ,u₂ = 20.0 m/s
Initially the distance between the truck and the car, d = 25 m
acceleration of the car,a₁ = 3.0 m/s²
a) For the car to reach the truck in a time interval( t ) , the distance travelled by car in that time( s₁ ) should be 25m more than the distance travelled by the truck in the same time interval( s₂ )
⇒ s₁ = 25 + s₂
u₁t+ 1/2a₁t² = 25 + u₂t +0 ( by eqn of motion , s = ut + 1/2at²)
20t + 1/2 * 3 * t² = 25 + 20t
1/2 * 3 * t² = 25
t² = 50/3
t = √50/3
t = 4.082 s
Therfore, It will travel 4.082 seconds before the car is alongside the truck
b) Time taken for them to reach side by side ,t = 4.082 s
velocity of car at that instance , v₁ =u₁ + a₁t
v₁ = 20 + 3 (4.082)
= 20 + 12.246
∴ v₁ =32.246 m/s
relative velocity to the truck ,v₁₂ = v₁ - u₁
= 32.246- 20
= 12.246 m/s
Therefore the car be moving at a speed of 12.246 m/s relative to the truck when they are side by side?
c) Distance travelled by car , s₁ = u₁t + 1/2a₁t²
= 20 (4.082) + 1/2 * 3 * (4.082)²
= 81.64 + 25
=106.64 m
Therfore the distance travelled by car is 106.64 m
d) Distance travelled by the truck , s₂ = u₂t
= 20(4.082)
= 81.64 m
Therfore the distance travelled by truck is 81.64 m
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a rocket flies directly upward with an initial velocity of 76.5 m/s. what is the maximum height the rocket will reach?
The maximum height the rocket will reach is 298.584m if its initial velocity is 76.5m/sec and it flies upwards.
We know that at highest point final velocity of the rocket will be 0m/sec.Now,we have initial velocity of rocket,final velocity of rocket,acceleration due to gravity.
We are taking upward direction as positive and downward direction as negative, due to that value of acceleration due to gravity is -9.8m/sec²
So,we can use third equation of motion which is given by
v² - u² =2aS
where v is the final velocity of rocket,
u is initial velocity of rocket
a is acceleration of the rocket
and S is the distance travelled by the rocket
We have v=0m/sec,u=76.6m/sec,a=9.8m/sec²,S=?
So,on putting the values,we get
=>(0)² - (76.5)² = 2 × (-9.8) × S
=>S=(76.5)² / 19.6
=>S=5852.25/19.6
=>S=298.584m
Hence, maximum height attained by rocket is 298.584m.
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What are the 3 wavelengths?
Violet electromagnetic radiation- The wavelength is 400 nm. Red electromagnetic radiation- The wavelength is 750 nm. Infrared electromagnetic radiation- The wavelength is 1000 nm.
Which three primary electromagnetic waves are there?Although they are made using various techniques and are discovered in various ways, they are not essentially distinct from one another.Electromagnetic radiation includes radio waves, gamma rays, visible light, and all other components of the electromagnetic spectrum.
What wave has the longest wavelength out of the three?These include microwaves, X-rays, gamma rays, infrared waves, radio waves, visible rays, and infrared, X-ray, and microwave waves.Gamma rays have the smallest wavelength as well as the shortest frequency of the seven electromagnetic waves, while radio waves have had the longest wavelength as well as the longest frequency.
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