The proper time for the trip to the planet can be measured by clocks (a),(b) on board the Enterprise and on board the explorer craft. These clocks will measure the time dilation effect of special relativity, which predicts that time will appear to run slower on objects that are moving relative to an observer.
Clocks on Earth and at the center of the galaxy will also measure the time of the trip, but their measurements will not include the effects of time dilation. Therefore, the measurements from these clocks will differ from the measurements of the clocks on board the Enterprise and the explorer craft.
The extent of the time dilation effect will depend on the speed of the craft relative to the observer, with greater time dilation occurring at higher speeds.
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Complete question :
The spaceship U.S.S. Enterprise, traveling through the galaxy, sends out a smaller explorer craft that travels to a nearby planet and signals its findings back. The proper time for the trip to the planet is measured by clocks: (Select all that can apply)
A. on board the Enterprise
B. on board the explorer craft
C. on Earth
D. at the center of the galaxy
E. none of the above
Why would we prefer to use the 0. 01uf capacitor in the feedback loop even though the circuit does not integrate quite as well over as large a range?
At 0 frequency (0Hz) or DC, the capacitor acts like an open circuit due to its reactance for this reason blocking off any output voltage feedback. As a result, little or no negative feedback is furnished from the output again to the input of the amplifier.
Therefore at low frequencies, the LPF has finite output and at high frequencies the output is nil, that's identical to an integrator circuit. for this reason, a low skip filter can be said to be worked as an integrator. Then the voltage variant in C may be very small.
A common op-amp circuit uses a remarks capacitor to limit the bandwidth. proscribing op-amp bandwidth will reduce noise, so a remarks capacitor is not an unusual way to reduce noise. To apprehend how the comments capacitor works, remember that a capacitor acts as a brief to “high frequency” AC indicators.
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PLEASE HELP
Johannah wants to know the spring constant of her bow. She created the graph shown by measuring the force required to stretch her bow to various displacements.
If this specific bow is stretched 40 cm to shoot an arrow that has a mass of 20 grams,
The spring constant of the bow is 0.49 N/m.
What is the spring constant of the bow?The spring constant of the bow is calculated by applying Hooke's law, which states that force applied to an elastic material is directly proportional to the extension of the material.
F = kx
k = F / x
where;
F is the applied forcex is the extension of the materialk is the spring constantk = ( mg ) / x
where;
m is the mass suspendedg is acceleration due to gravityK = ( 0.02 kg x 9.8 m/s² ) / ( 0.4 m )
K = 0.49 N/m
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A box is being dragged across the floor at a constant speed by a rope pulling horizontally on it. Friction is not negligible.
A box is being dragged across the floor at a constant speed by a rope pulling horizontally on it. friction is not negligible. Weight (W), the normal force( N), and the tension force( T )in the string will all be forces operating on the box.
How does tension force work?The force transmitted through a rope, string, or wire while opposing forces pull it is referred to as the tension force.
Energy is drawn equally from both ends by the tension force, which is exerted along the entire length of the wire.
A box is being dragged across the floor at a constant speed by a horizontally pulling rope. Friction has a big impact.
As a result, the weight W, normal force N, and tension force T in the string will all be acting on the box.
Your question is incomplete but most probably your full question was
A box is being dragged across the floor at a constant speed by a rope pulling horizontally on it. friction is not negligible. identify all the forces acting on the box.
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Explain Ramachandran's thoughts from the interview on how mirror
neutrons connect science with humanities. How did the mirror neutrons
influence the development of civilization?
The intriguing functions of mirror neurons are described by neuroscientist Vilayanur Ramachandran. These neurons, which have only lately been found, enable us to acquire intricate social skills.
Describe a mirror.A mirrors is a collection of features that reflects light and creates an actual or fictitious picture. When an item is placed front of a mirror, the mirror reflects the same object. Glass can also be coated with metal to create mirrors.
What material does a mirror have?Wet depositing of silver or aluminum is primarily used in the manufacture of contemporary mirrors. The glass substrate is first cleaned and polished to get rid of blemishes and pollutants. Next, a sequence of coatings must be applied to the glass, starting with tin chloride.
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Two identical objects, A and B move along straight, parallel, horizontal tracks. The graph above represents the velocity as a function of time for the two objects.
(a) Indicate which of the two objects, if either, has a decreasing speed during the time interval shown. If neither object has a decreasing speed, indicate this explicitly. Briefly explain your answer.
(b) Indicate at approximately which time or times, if any, the objects are moving at the same speed. If the objects are never moving with the same speed during the interval shown, indicate this explicitly. Briefly explain your answer.
(c) For which object, if either, is the magnitude of the net work done on it greater for the time interval shown? If the net work has the same magnitude for both objects, indicate this explicitly.
(d) In a clear, coherent paragraph-length response, explain your response to part (c).
(a) According to the graph, neither object A nor object B has a decreasing speed during the time interval shown. This can be inferred from the graph, as the slope of the line representing the velocity of both objects is always positive (going upwards) and never negative (going downwards).
(b) According to the graph, the objects are never moving at the same speed during the time interval shown. This can be inferred from the graph, as the lines representing the velocity of the two objects never intersect, indicating that they are never at the same point on the graph at the same time.
(c) According to the graph, the magnitude of the net work done on object A is greater than that on object B for the time interval shown. This can be inferred from the graph, as the area under the line representing the velocity of object A is greater than that of object B.
(d) The net work done on an object is equal to the force applied to the object multiplied by the distance it moves in the direction of the force. From the graph, it can be seen that object A has a greater velocity than object B for the entire time interval shown, which means that it covers a greater distance in the same amount of time, and therefore the net work done on object A is greater than that on object B. This can be seen by the area under the velocity graph, the area under the graph of object A is greater than that of object B. This means that the force applied to object A is greater than that applied to object B, and that the net work done on object A is greater than that on object B.
How to calculate speed in physics?In physics, velocity is the rate of change of an object's position with respect to time. To calculate velocity, you need to know the initial position of the object, the final position of the object, and the time it took for the object to move from the initial position to the final position. Once you have this information, you can use the following formula to calculate velocity:
Velocity = (Final position - Initial position) / Time
The unit of velocity is typically meters per second (m/s) or kilometers per hour (km/h).
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How much time does it take for a fish swimming at a speed of 15 kilometers per hour to travel a distance of 900 kilometers?
The time it will take a fish swimming at a speed of 15 kilometers per hour to travel a distance of 900 kilometers would be = 60hours.
What is speed?Speed is defined as the scalar quantity that is used to define the rate of movement of an object with respect to time.
That is; Speed = distance/ time = s/t = km/hr
Speed = 15 km/hr
Distance = 900km
Time = X
Make t the subject of formula;
t = speed/distance = 900/15 = 60hours.
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Ideally, a motorist should try to enter an expressway lane ____________
answer choices
on the exit ramp
at a slower speed than the traffic already on the expressway
at the same speed as the motorists on the expressway
any speed they want
Ideally, motorists should try to enter the toll road c. at the same speed as a motorist on the freeway
Velocity is a vector quantity that measures the speed and direction of an object's change in position. Examples of speed units are km/hour, m/minute, m/second, and so on. There are two concepts of speed, namely the instantaneous speed is the speed of the object at a time and the average speed is the result of transfers at intervals each time.
When on expressway lane motorists should use the same speed as other motorists. The speed of other drivers is in accordance with the rules for the average speed of driving on the highway. This aims to keep the driver focused and to prevent accidents.
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what's an electric field ?
Answer:
Electric field is defined as the electric force per unit charge. Light, X- rays, radio waves, microwaves etc. contains electric field component's in it.
Explanation:
Answered by :
[tex] \pink{ \star} \pmb{ \text{ \pink{seolleaphrodite }}} \pink\star[/tex]
Answer:
a region around a charged particle or object within which a force would be exerted on other charged particles or objects.
A large raindrop--the type that lands with a definite splat--has a mass of 0. 014 g and hits your roof at a speed of 8. 1 m/s.
(a) The magnitude of the impulse delivered to your roof is 1.134 × 10⁻⁴ kg m/s.
(b) The magnitude of the force of the impact is 0.307 N.
Given that,
Mass of the rain drop is m = 0.014 g = 0.014 × 10⁻³ kg
Speed of the rain v = 8.1 m/s
Time of motion t = 0.37 ms = 0.37× 10⁻³ s
The following formula is used to determine the roof impulse,
J = ΔP = m× v
⇒ (0.014 × 10⁻³)× 8.1 = 1.134 × 10⁻⁴ kg m/s
Newton's second law of motion is used to compute the force of impact in the following ways,
F = m × a
F = [(0.014× 10⁻³) 8.1]/(0.37× 10⁻³) = 0.307 N
The given question is incomplete. The complete question is 'a. What is the magnitude of the impulse delivered to your roof?
b. If the raindrop comes to rest in 0. 37 ms, what is the magnitude of the
average force of the impact?'
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All of the following are true statements about phosphor storage plate (PSP) imaging system imaging plates except they:
All of the following are true statements about phosphor storage plate (PSP) imaging system imaging plates except they: should be autoclave.
AutoclaveAn autoclave is a device used in industrial and scientific procedures that call for higher temperature and pressure in comparison to ambient temperature. Before doing surgery, autoclaves are used to sterilize the area. In the chemical sector, autoclaves are used to vulcanize rubber, cure coatings, and perform hydrothermal synthesis. Industrial autoclaves are employed in a variety of industrial settings, particularly in the production of composite materials. Depending on the size of the load and the contents, many autoclaves sterilize equipment and supplies by exposing them to pressurized saturated steam at 121 °C (250 °F) for 30 to 60 minutes at a pressure of 15 psi.
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White lights can sometimes be found on what kind of buoys?
a. daytime buoys
b. green buoys
c. red buoys
White lights can sometimes be found on red buoys.
Hence, Option C is correct answer.
How can we understand that White lights can sometimes be found on red buoys?Buoys consist of a float, mooring chain and anchor. They may be equipped with lights and/or sound signals such as bells, gongs, or whistles.We know that, Red buoys are found on the starboard side of a channel when entering from seaward and can be lighted buoys, nuns, or triangular daymarks. Red buoys, if lit, have red or white lights, and the light pattern can be fixed, flashing, occulting, quick–flashing, or of equal intervals.Thus from the above conclusion we can say that White lights can sometimes be found on red buoys.
Hence, Option C is correct answer.
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A car applies a force of 36. 8 newtons for a 668-meter loop; what was the work done?.
The value of the work that was done on the car is 24.6 J.
How to calculate how much the work on the car was done?Work is an energy that move from or to one object into another object that might make the object have the displacement, or we can say work is equal to force multiply with displacement in meters. In formula form, it will be written as W = F x s. As per data given F = 36.8 N and s = 668 m. The work will be:
W = F x s
W = 36.8 x 668
W = 24,582J
Let round the work value. So, the work value will be 24.6 J
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What is the speed of a wave that has a frequency of 220 Hz and a wavelength
of 0.39 m?
A. 564 m/s
OB. 85.8 m/s
OC. 0.01 m/s
D. 0.002 m/s
Answer:
B 85.8m/s
Explanation:
frequency(Hz) = 220
wavelength(m) = 0.39
formula for Speed of a wave
Speed = Wavelength x Frequency
speed = 0.39 × 220
speed = 85.8m/s
i hope this helped
Answer: B. 85.8 m/s ✅
Explanation: The speed of a wave can be calculated using the equation:
Velocity = Frequency * Wavelength
Given that the frequency of the wave is 220 Hz and the wavelength is 0.39 m, we can plug these values into the equation:
Velocity = 220 Hz * 0.39 m
The speed of the wave is 85.8 m/s or approximately 309 km/h or 192 mi/h ✅
PLEASEEEE GIVE BRANLIEST
According to the superstring theories, gravitation has its own energy-sharing particles called _____, analogous to photons and electromagnetism.
Graviton
Graviton, postulated quantum that is thought to be the carrier of the gravitational field. It is analogous to the well-established photon of the electromagnetic field.
What is Superstring theories ?String theory states that everything in our Universe is made up of tiny vibrating strings. These strings are one dimensional objects and are identical to one another.
Every fundamental particle that we know such as electrons, quarks, photons, gluons, etc are made up of these strings.String theory has contributed a number of advances to mathematical physics, which have been applied to a variety of problems in black hole physics, early universe cosmologyLearn more about Superstring theories here:
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Use the periodic table to answer this question.
Decomposing calcium carbonate yields calcium oxide and carbon dioxide.
What information is needed to calculate the mass of calcium oxide that can be produced from 4.7 kg of calcium carbonate?
A.molar masses of calcium, carbon, and oxygen
B.the balanced chemical equation
C.number of molecules of calcium carbonate
D.molar mass of calcium carbonate
You need the atomic mass of calcium, oxygen and carbo, the balanced chemical equation and the molar ratio between Calcium carbonate and calcium oxide.
1. If you know the atomic mass of the elements, you can calculate the molar mass of Calcium Carbonate (CaCO3) and the mass of Calcium Oxide (CaO).
2. The balanced equation is CaCO3 -> CaO + CO2
3. The molar ratio between CaCO3 and CaO is 1:1, which means that the descomposing of one mole of calcium carbonate produce one mole of calcium oxide.
4- The last thing you should do is to conver the 4.7 kg of CaCO3 to moles and with the molar ratio calculate the mass of CaO
Explanation:
Any confusions you may ask!
While the skin has the ability to block uv light which may cause damage, it also has the ability to absorb:__________
While the skin has the ability to block UV light which may cause damage, it also has the ability to absorb Drugs.
Skin is the largest organ of the body. It is usually soft, and flexible outer tissue. It is involved in Protection, Sensation and Regulation. It has the ability to Block UV light through Melanin and it has ability to absorb drugs through the Dermal Absorption through the skin. It is porous and hence has the ability to absorb:
DrugsAcrylatesPharmaceutical productsIsocyanatesMercuryPolychlorinated biphenyls (PCB)Some nutrients like Vitamin E, Vitamin CHyaluronic acidHair follicles and the pores absorbs the best present all over the body.
Substances can enter the skin through openings, getting absorbed into the dermis where blood vessels nourish the skin.
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A transformer is used to convert 120 V household electricity to 6 V for use in a portable CD player. If the primary coil connected to the outlet has 1000 turns, how many turns does the secondary coil have
The number of turns in the secondary coil of the transformer is 50.
What is a Transformer?
The transformer is a device used to increase or decrease the input voltage.
The ratio of the output voltage to the input voltage gives the turn ratio of the secondary coil and the primary coil. The ratio is given by the formula,
V2/V1=n2/n1
where V2 is the output voltage, V1 is the input voltage, n2 is the number of turns on the secondary coil and n1 is the number of turns on the primary coil.
Given V1=120 V, V2= 6 V, and n1=1000 turns, substitute these values in the above formula and solve it to get the value of n2.
6/120 = n2/1000
n2=6*1000/120
n2=50
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In example 18. 4 of the text, the deflection angle of the laser beam as it exits the prism is 22. 6º. If the prism had been made of glass instead of polystyrene plastic, what would the deflection angle have been?.
The deflection angle would have been 37.29º if the prism had been made of polystyrene plastic.
What is the deflection angle?
A deflection angle is an angle between the onward extension of the previous leg and the line ahead.
Here,
deflection angle as laser enters the beam, B = 22.6º
refraction index of glass, n1= 1.52
refraction index of polystyrene plastic, n2 = 1.59
for the second surface,
B = 45º - 22.6º
B = 22.40º
According to Snell's law:
n1 sinФ1 = n2 sinФ2
sin B / sinФ = n1 / n2
sinФ = (sin 22.40º) * ( 1/ 1.59)
Ф = 37.29º
Thus,
The deflection angle would have been 37.29º if the prism had been made of polystyrene plastic.
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A banked circular highway curve is designed for traffic moving at 60 km/h. The radius of the curve is 200 m. Traffic is moving along the highway at 40 km/h on a rainy day. What is the minimum coefficient of friction between tires and road that will allow cars to take the turn without sliding off the road
The minimum coefficient of friction which allow cars to take the turn without sliding off the road is 0.617
What is friction force:Friction is the force resisting the relative motion of the surface sliding against each other.
here, given that
m = mass of car
The velocity of the cars, v= 60 km/h = 17 m/s
The radius of the curve, R =200 m.
The velocity of the cars on the highway curve, v' = 40 km/h = 11 m/s
In order to allow the cars to take the turn without sliding off the road, the Centripetal Force must be equal to the frictional force between the tires of the car and road.
Centripetal Force = Frictional Force
centripetal force = mv²/r friction force = μRmv²/r = μR
here
R = Normal Reaction = Weight of Car = mg
Therefore,
mv²/r = μmg
μ = v²/gr
μ = (11)² / (9.8)(200)
μ = 0.0617
hence
The minimum coefficient of friction which allow cars to take the turn without sliding off the road is 0.617
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In a series lrc circuit, the frequency at which the circuit is at resonance is f0. If you double the resistance, the inductance, the capacitance, and the voltage amplitude of the ac source, what is the new resonance frequency?.
When you double capacitance and inductance, the new resonance frequency becomes f/2.
Resonance frequency:The resonance frequency of RLC series circuit, is the frequency at which the capacity reactance is equal to inductive reactance.
It can also be defined as the natural frequency of an object where it tends to vibrate at a higher amplitude.
Xc = Xl
which gives the value for resonance frequency:
[tex]f = \frac{1}{2\pi \sqrt{LC} }[/tex]
where;
f is the resonance frequency
L is the inductance
C is the capacitance
When you double capacitance and inductance, the new resonance frequency becomes;
[tex]f' = \frac{1}{2\pi \sqrt{2L2C} }[/tex]
[tex]f' = \frac{1}{2\pi \sqrt{4LC} }[/tex]
[tex]f' = \frac{1}{\pi \sqrt{LC} }\frac{1}{2}[/tex]
[tex]f' = \frac{1}{2} f[/tex]
Thus from above,
When you double capacitance and inductance, the new resonance frequency becomes f/2.
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How do the resistances of two conducting wires compare if they have the same length, but one is twice the radius of the other?.
The thicker wire has one-fourth the resistance of the thinner wire.
What are resistance and resistivity?The characteristic of a substance that prevents the flow of current is known as resistance. The free electrons begin to move in a specific direction when a voltage is applied across the conductor. These electrons collide with atoms or molecules as they move, creating heat in the process. These atoms or molecules prevent free electrons from moving through a substance. Resistance is represented by the symbol R.
Specific resistance is another name for resistivity. A substance with certain dimensions, such as one meter in length and a cross-sectional area of one square meter, has a resistance that is represented by its resistivity. Resistivity or specific resistance is represented by ρ.
The relation between resistance R and resistivity ρ is given as:
R = ρL/A
where,
R = resistance of the conductor
ρ = resistivity of the material
L = length of the conductor
A = cross-sectional area of the conductor
Calculation:Given,
r₁ = 2r₂
L₁ = L₂
where
r₁ = radius of the first conductor
r₂ = radius of the second conductor
L₁ = length of the first conductor
L₂ = length of the second conductor
To find
R₁/R₂ =? (the ratio of R₁ and R₂)
If the radius is twice the other then the area will become,
A₁ = π r₁²
A₂ = π r₂²
A₁ = π (2r₂)²
= 4π r₂²
Therefore,
A₁ = 4 A₂
Now put the values in formula,
R = ρL/A
R₁/R₂ = ρ L₁ A₂/ ρ L₂ A₁
R₁/R₂ = L A₂/ L (4A₂)
R₁/R₂ = 1/4
R₁ = R₂/4
Hence, the thicker wire with twice the radius of thin wire has one-fourth the resistance of the thinner wire.
I understand the question you are looking for is this:
How do the resistances of two conducting wires compare if they have the same length, but one is twice the radius of the other?
(a) The thicker wire has half the resistance of the thinner wire
(b) The resistance is the same in both wires
(c) The thicker wire has one-fourth the resistance of the thinner wire
(d) The thicker wire has twice the resistance of the thinner wire.
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How to change a flat tire presentation?
Having a flat tire is one of the predominant inconveniences of riding. A guide car jack is designed to raise the vehicle high sufficient to eliminate the flat tire.
Converting a tire is definitely an alternative bodily trauma. we need to place a few muscles in getting the lug nuts off and cranking the jack, after which you need to bend down and lift the tire. regularly, oldsters will try to do all of this in a rush to get on their way, however, it really is a mistake.
To change eliminate the flat tire. The following steps should be followed:-
A spare tire. A lug wrench or torque wrench.Wheel wedges.A transportable tire inflator.A tire gauge to read the endorsed tire strain.Having a flat tire is one of the predominant inconveniences of riding. while a terrific spare is unavailable, you both have to call a tow truck or repair the tire ourselves. luckily, the process of fixing it yourself is noticeably sincere and requires only a few gears.
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When hydrogen is fused into helium, energy is released from Choose one: A. the increase in pressure. B. the decrease in the gravitational field. C. conversion of mass to energy. D. gravitational collapse.
The nuclear fusion of hydrogen atoms releases a huge amount of energy. So the correct choice is C. Conversion of mass to energy.
What is nuclear fusion?
When two small nuclei join to form a new nucleus, then this process is termed nuclear fusion. A huge amount of energy is released when there occurs nuclear fusion between the two nuclei. And a new element is formed.
It has been observed that the amount of energy released in nuclear fusion is equal to the mass difference between the mass of the formed nucleus and the total mass of old nuclei. Hence in the nuclear fusion of hydrogen nuclei to form a helium nucleus, the energy is released due to the conversion of mass into energy.
The pressure is increased to make the hydrogen atoms fuse but this change in pressure does not contribute to the energy released in the fusion of hydrogen.
The magnitude of the gravitational field is too low and it does not contribute to the energy released in the fusion of hydrogen.
The gravitational collapse does not occur between the two hydrogen atoms. This phenomenon occurs in celestial bodies so this also does not contribute to the energy released in the fusion of hydrogen.
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You are holding a positive charge and there are positive charges of equal magnitude 1 mm to your north and 1 mm to your east. What is the direction of the force on the charge you are holding
If I hold a positive charge in my hand and there are positive charges of equal magnitude 1 mm to your north and 1 mm to your east then the direction of the force on the charge I am holding is towards the north-east direction.
Reasoning:
It is given that there is a positive charge in my hand. There are two more positive charges with the same magnitude. One is 1 mm far towards the east, and the other one is 1 mm far towards the north. It is required to find the direction of the force acting on the charge in my hand.
Let the magnitude of the charge in my hand is Q, and the magnitude of the other charges is q.
Thus the electric force applied on the charge in my hand due to each other is,
[tex]F=\frac{kQq}{r^2}[/tex]
Here k is the Coulomb constant, and r is the distance between the charges.
It is also known that the force on a positive charge due to another positive charge is acted outwards.
Thus, the force on the charge due to the charge on the east is,
[tex]\vec{F_1}=\frac{kQq}{( 10^{-3}\text{ m})^2}\hat{i}[/tex]
And the force on the charge due to the charge on the north is,
[tex]\vec{F_2}=\frac{kQq}{( 10^{-3}\text{ m})^2}\hat{j}[/tex]
As the forces are equal in magnitude and one is perpendicular to the other, thus the net force will be acted at an angle of [tex]45^\circ[/tex] from the north or from the north direction.
Thus the net force is acting in the north-east direction.
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What is the velocity of a ball that is thrown 8 meters toward 3rd base in 4 seconds
Answer:
V=∆s/∆t
V=800/4
V=200
you have to change 8meters into centimeters and please let me know if I'm wrong
A 500 watt heater carries a current of 4 A. What is the voltage across the ends of the heating element
The voltage across the ends of the heating element is 125 volts.
VoltagePower = 500J/s = 500 Watts. I = 4A
V*I = 500
V = 500/I = 500/4 = 125 Volts.
The difference between two points' electric potentials, also known as electric potential difference, electric potential pressure, or electric tension, is what moves a test charge between the two points in a static electric field. The derived unit for voltage (potential difference) in the International System of Units is called volt. 166 Work per unit charge is stated in SI units as joules per coulomb, with 1 volt equaling 1 joule (of work) for 1 coulomb (of charge). The quantum Hall and Josephson effect was first used to define the volt in the old SI system in 1990. More recently, fundamental physical constants have been included to the definition of the volt in the new SI system.
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Far in space, where gravity is negligible, a 465 kg rocket traveling at 75.0 m/s in the positive x-direction fires its engines. The figure (Figure 1)shows the thrust force as a function of time. The mass lost by the rocket during these 30.0 s is negligible.
The impulse generated by the rocket is 15000 Ns
What is Impulse?In classical mechanics, the integral of a force, F, over the time period over which it acts, t, is known as the impulse (abbreviated J or Imp).Impulse is a vector quantity because force is one as well. When an item receives an impulse, its linear momentum also changes in the opposite direction in an analogous vector. The kilogram meter per second (kg m/s), which is dimensionally identical to the kilogram second (Ns), is the SI unit for momentum.For as long as it acts, a resultant force generates acceleration and a change in the body's velocity. The change in momentum is equal to the product of the average force and duration, hence a resultant force delivered over a longer period of time results in a greater change in linear momentum than a resultant force applied quickly.Solution:
Mass of the rocket = 465kg
Velocity of the rocket = 75m/s
Time taken = 30s
Impulse = [tex]I = F \Delta t[/tex]
[tex]I = \int F(t)dt[/tex]
Impulse so generated is equal to the area of triangle
I = [tex]\frac{1}{2} \times 30\times1000[/tex]
I = 15000 Ns
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A spring with a spring constant of 2.00N/m applies a force of 0.500N when it is compressed. How much was the spring compressed?
Two metal balls are the same size, but one weighs twice as much as the other. The balls are dropped from the top of a two story building at the same instant of time. The time it takes the balls to reach the ground below will be:
The time taken by the metal balls of the same size but different weight, to reach the ground will be the same.
Reason behind:
Two metal balls are the same size, but one weighs twice as much as the other. The balls are dropped from the top of a two-story building at the same instant of time. It is required to find the time taken by the balls to reach the ground.
In free fall, all objects experience the same acceleration owing to gravity when they are close to the earth.
[tex]g=9.8 \text{ m/s}^2[/tex] is the measure of gravitational acceleration.
Because of this, the two metal balls are the same size but have different masses. The air resistance for both balls will be the same due to their similar sizes. Let, g' be the acceleration in the presence of air resistance. The balls are both discharged at once.
From a height of h, both balls descend due to gravity G'.
Therefore, the time taken by both balls is:
[tex]\begin{aligned}&s=u t+\frac{1}{2} g t^{2} \\&u=0, s=h \\&t=\sqrt{\frac{2 h}{g}}\end{aligned}[/tex]
Therefore, the time is independent of mass. Thus the time taken by both the balls, will be about the same.
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Besides astronomy, what did copernicus study in school?
Besides astronomy, copernicus study paintings and mathematics in school of the university of krakow.
The basic ideas of Copernicus already appear in the 7 ’axioms’ of his first published work, the Commentariolus. These axioms were:
1. There is no single centre for all orbits in the universe.
2. The Earth’s centre is not the centre of the universe, but only of the lunar orbit.
3. The centre of the universe is near the sun.
4. The distance from the Earth to the sun is imperceptible compared with the distance to the stars.
5. The daily rotation of the Earth accounts for the apparent daily rotation of the stars, which themselves are immobile.
6. The apparent annual cycle of solar motion is caused by the Earth revolving round it once every year.
7. The apparent retrograde motion of the planets is caused by the motion of the Earth around the sun, and from which one observes the planets.
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