a) The velocity of the boat relative to the shore is 3.40 m/s and b) The position of the boat relative to its point of origin after 3s is 10.20m.
Here it is given that the speed of the boat (x) = 2.20m/s
The speed of the stream current (y) = 1.20m/s
a) We have to find the velocity of the boat relative to the shore.
The speed of the boat = x + y
= 2.20 + 1.20
= 3.40m/s
b) Now we have to find the position of the boat after 3s
The formula for speed:
Speed = Distance/ Time
distance = speed × time
speed = 3.40m/s
Time = 3s
distance = 3.40 × 3
= 10.20 m
Therefore we get a) speed as 3.40m/s and b) distance as 10.20m.
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a uniform horizontal beam 8 m long is attached by a frictionless pivot to a wall. a cable making an angle of 37o, attached to the beam 5 m from the pivot point, supports the beam, which has a mass of 600 kg. the breaking point of the cable is 8000 n. a man of mass 95 kg walks out along the beam. how far can he walk before the cable breaks?
The man can move 0.59 meters from the pivot by walking. The external force is countered by the tension of the string.
Tension, a type of force (pulling force), arises down the length of a rope or string when an external force acts at one of the ends.
Assume for the moment that the person is 'd' away.
Tnet = 0
The answer to the query is
mgd + (Mg * L/2) = T* d'sin
Given,
Θ = 37°
d' =5m
L= 8m
M = 600kg
m = 95kg
T = 8000N
If we solve for d, we obtain
8000 = ((600 * 9.8 *4) + (95 * 9.8 * d)) / 5 sin37°
d= ((8000*5*sin37°) - (8000*9.8*4)) / 95*9.8
d = 0.59m
He can therefore walk 0.59 meters from the pivot.
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a hypothetical weak acid, ha, dissociates in water according to the reaction below. if the ph of a 0.400 m aqueous solution of ha is 3.87, what is the value of ka for ha
The dissociation constant Ka for weak acid HA is 0.25× 10⁻⁷.
Equilibrium constant of a chemical reaction is known as dissociation associated with acid-base reactions. Species HA is an acid that dissociates into the conjugate base of the acid, A , and the hydrogen ion, H⁺ .
First, write the balanced formula for the partial ionization of the acid,
HA(aq) + H₂O(l) ⇌ A⁻ (aq)+H₃O⁺(aq)
Note that there is a 1:1 molar ratio everywhere For every mole of acid that ionizes in aqueous solution, you get 1 mole of its conjugate base and 1 mole of the hydronium ion H₃O⁺.
The equilibrium concentration of hydronium ions can now be calculated from the pH value of the solution.
pH = - log ( [ H₃O⁺]) = [ H₃O⁺ ]= 10⁻ᵖᴴ
For the given question we have a pH of 3.87 which means [H₃O⁺] = 10⁻³·⁸⁷
and concentration of H₂O is 0.400M.
By definition the acid dissociation constant Ka equals to
Ka = [ A⁻ ] [H₃O⁺ ] / [HA]
The acid dissociation constant equation is written using equilibrium concentrations. Therefore, if the reaction produced a hydronium ion concentration equal to 10⁻⁴ M, it also produced a conjugate base concentration equal to 10⁻⁴M. The initial concentration of the acid is much higher than the concentrations of the conjugate base and hydronium ion, so they can be approximated as constants.
Ka = 10⁻⁴ × 10⁻⁴/ 0.400 = 0.25× 10⁻⁷
Hence, the dissociation constant of acid Ka is 0.25× 10⁻⁷.
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a sector of a circle of radius 3in has an area of 25in^2 . find the central angle of the sector. do not round any intermediate computations. round your answer to the nearest tenth.
The Central angle of Sector is 305.73° . The Central angle of sector is defined as the angle formed by two radii.
The Sector Area of a circle is the amount of space enclosed within the sector boundary. A sector always starts from the center of the circle. A circle sector is defined as the portion of the circle bounded between two radii and their adjacent arcs.
Mathematically, A = (θ/360°) × π r²
where, A---> area of sector of circle
θ----> Central angle of sector
r ----> radius of circle
pi (π) = 3.14
we have, Radius of circle (r) = 3 inch
Area of sector of circle (A) = 24 inch²
we have to find out the value of central angle of Sector .
putting the values in above formula we get,
24 = (θ/360°) × 3.14 ×(3)²
=> θ/360° = 24/28.26 = 0.849
=> θ = 360×0.849 = 305.73°
Hence, Central angle of sector is 305.73° ..
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an atwood's machine (see the figure below) consists of two masses: one of mass 4.43 kg and the other of mass 10.9 kg. when released from rest, what is the acceleration of the system? (enter the magnitude in m/s2.)
acceleration of system we got 4.15m[tex]s^{2}[/tex]
We are well aware that two bodies with different masses are hung from the pulley in Atwood's novel.
The following provides the atwood's acceleration:
a=((m2-m1)/(m2+m1))
g, where g is the acceleration caused by gravity and m2 and m1 are the masses of the heavier and lighter bodies, respectively.
In response to the question, m2=10.9, m1=4.43, and g=9.8
in above formula, we got
a=[(10.9-4.43)/(10.9+4.43)]×9.8
=>a=[(6.47)/(15.33)]×9.8
=>a=4.15m.
Consequently, an atwood machine is created with two masses: one weighing 4.43 kg and the other 10.9 kg. The system accelerates at a rate of 4.15 m/s when it is freed from rest..
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A 65. 0-kilogram astronaut weighs 638 newtons at the surface of earth. What is the mass of the astronaut at the surface of the moon, where the acceleration due to gravity is 1. 62 meters per second squared?.
Astronauts still weigh 65 kg. Mass is constant or does not change anywhere.
A person's mass is constant whether he is on Earth or on the Moon because mass is an essential property of matter. There is no difference in the mass of astronauts on Earth and on the moon. Mass is a constant value, but a person's weight varies depending on their position on the earth.
Weight is the downward force exerted on a person or body by gravity. Whether measured on Earth or on the ISS, the mass does not change. Weight may change due to gravitational forces such as B. On the moon, the weight is reduced to one-sixth of what it is on Earth. Astronauts and their spacecraft still have mass and are subject to Earth's gravity.
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A tank is full of water. Find the work required to pump the water out of the spout. (use 9. 8 m/s2 for g. Use 1000 kg/m3 as the density of water. Assume r = 6 m and h = 2 m. ).
70.934648 MJ of work is needed to pump the water out of the spout.
The tank is shaped like a globe. the distance to the mass's center = h+r =6+2=8
Weight of water in tank = 9.8×π×6³×1000×4/3
= 8.866831×10⁶ N
to empty the tank Work done = 8 × 8.866831×10⁶
=70.934648×10⁶ J
= 70.934648 MJ.
A pump is a mechanical device used to transport fluids (liquids, gases, or occasionally slurries). It commonly converts electrical energy into hydraulic energy. Pumps can be divided into three main categories based on how they move the fluid: direct lift, displacement, and gravity pumps.
Pumps use a mechanism to move the fluid (usually a rotary or reciprocating one) and require energy to operate. Pumps exist in a variety of sizes, from microscopic for use in medical applications to enormous industrial pumps, and they can be powered by a variety of energy sources, including electricity, manual operation, engines, or wind power.
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I'm having trouble with moments can someone help
The distance from 3 kg mass is 19.143 m.
Torque is defined as the made of the importance of the force and the perpendicular distance of the line of action of a force from the axis of rotation. The image for torque is usually. , the lowercase Greek letter tau. whilst being called second of pressure, its miles are normally denoted through M.
Calculation:-
net anticlockwise = net clockwise
30×3 +70x = 110×13
90 + 70x = 1430
70X = 1430 - 90
X = 1340/70
= 19.143 m
In physics and mechanics, torque is the rotational equivalent of linear pressure. it's also known as the moment, moment of pressure, rotational force, or turning effect, relying on the field of taking a look at. It represents the capability of pressure to provide trade within the rotational motion of the frame.
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A piece of what nasa space shuttle was recently discovered by a film crew in the atlantic ocean?.
A piece of the Challenger Space Shuttle was recently discovered by a film crew in the atlantic ocean.
Challenger became the first space commute to be destroyed in a project twist of fate. The accrued debris of the vessel is currently buried in decommissioned missile silos at launch complex 31, Cape Canaveral Air pressure Station.
On January 28, 1986, the gap travel Challenger broke aside 73 seconds into its flight, killing all seven group individuals aboard. The spacecraft disintegrated 46,000 ft (14 km) above the Atlantic Ocean, off the coast of Cape Canaveral, Florida, at 11:39 a.m. EST (sixteen:39 UTC).
A massive segment of the destroyed space go back and forth Challenger has been found buried in sand at the bottom of the Atlantic.
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A box is sitting on a frictionless surface.
If a person is pulling it to the right with a force of 26.36N and another person is pushing it to the right with a force of
35.68N, what is the net force on the box?
The net force on the box is 62.04 N.
Force is a push or pulls upon an item due to the object's interaction with some other object. pressure is a strength that may change the movement of an object. A force can cause an object with mass to exchange its speed, i.e., to enhance up. pressure also can be defined intuitively as a push or a pull. A pressure has each importance and route, making it a vector quantity.
Calculation:-
pulling force towards right = 26.36 N
pushing force towards right = 35.68 N
Since the direction of both forces in the same direction
Net force = 62.04 N.
The phrase 'pressure' has a completely unique meaning. At this diploma, it's miles virtually suitable to explain pressure as a push or a pull. Pressure isn't something that an item consists of or 'has in it. Pressure is exerted on one item through any other. The idea of a force isn't restrained to dwelling topics or non-dwelling matters.
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the cart of mass 10 kg shown aboe moves without frictional loss on a level table. a 10 n force pulls on the cart horizontally to the right. at the same time a 30 n force at an angle of 60 degrees above the horizontal pulls on the cart to the left. what is the magnitude of the horizontal acceleration on the cart?
1.8 m/s² is the magnitude of the horizontal acceleration on the cart
F = ma
10N – (30Ncos60º) = (10kg)a
a=1.8 m/s²
Acceleration refers to any process where velocity changes. There are only two ways to accelerate: either by speeding up your acceleration or by reversing your acceleration. Because velocity consists of both a speed and a direction, this is the case.
You cannot possibly be accelerating if you don't also change your direction and speed, regardless of how quickly you are moving. As a result, a jet does not experience acceleration even when moving at a high speed—in this case, 800 miles per hour—because its velocity is constant. After landing, the jet will begin to slow down and then suddenly stop.
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what is the major difference between an open circulatory system and a closed circulatory system? see section 33.1 (page) .
The major difference between an open circulatory system and a closed circulatory system are-
Open circulatory system-
1. The tissues and organs are directly bathed with hemolymph.
2. It is impossible to distinguish between blood and interstitial fluid.
3. Present in arthropods and mollusks.
4. Body cavities receive blood pumps.
5. Present dorsal blood vessel
6. Lack of capillary system.
7. The tissues around it are in intimate contact with the blood.
8. Direct nutrient exchange occurs between the blood and tissues.
9. No gas transportation.
10.Hemolymph is the name of the fluid that circulates in this system.
Closed Circulatory System-
1. Within closed vessels, the blood flows.
2. Interstitial fluid and blood are different.
3. Present in both vertebrates and annelids.
4.The heart pumps blood through the vessels.
5. Both ventral and dorsal blood vessels are present.
6. A capillary system exists.
7. The tissues and blood do not come into direct contact.
8. The tissue fluid is used to exchange the nutrients.
9. Transport of gases occurs.
10. Blood is the fluid that circulates in this system.
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elbow flexion: angular velocity of 2 radians/s. movement took 0.5 s. what was the change in position in degrees?
The change in position in degrees will be 57.30°
angular velocity = change in angular rotation / change in time
given
angular velocity = 2 rad/s
time = 0.5 seconds
change in position = angular velocity * change in time
= 2 * 0.5 = 1 rad
1 radian = 180 / π = 57.30 °
The change in position in degrees will be 57.30°
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a 1,300-kg automobile has a wheel base (the distance between the axles) of 2.95 m. the automobile's center of mass is on the centerline at a point 1.24 m behind the front axle. find the force exerted by the ground on each wheel.
The force exerted by the ground on each wheel is 73085.5 N
Force is a push or pulls upon an item because of the object's interaction with some other object. pressure is a power that can exchange the motion of an object. A force can reason an object with mass to alternate its speed, i.e., to boost up. pressure also can be described intuitively as a push or a pull. A force has each significance and course, making it a vector amount.
Calculation:-
mass of automobile = 1300 kg
distance between the axles = 2.95 m
center of mass from the front axle is 1.2 m
At equilibrium
F net = 0
τ total = 0
F total = F₁ + F₂ - mg = 0
F₁ + F₂ = mg
F₁ + F₂ = 1300 × 9.8
F₁ + F₂ = 12740
τ total = 0
= F₁ ×( 2.95 -1.24) -F₂ × 1.24
0 = 1.71F₁ - 1.24F₂
1.71F₁ = 1.24F₂
F₁ = 1.24/1.71 F₂
= 0.725F₂
0.725F₂+ F₂ = 12740
F₂ = 12740/ 1.725
= 73085.5 N
The phrase 'Force' has a unique meaning. At this degree, it is absolutely appropriate to describe a force as a push or a pull. A force is not something that an object consists of or 'has in it. A force is exerted on one object through another. The concept of a force isn't always restricted to living matters or non-living matters.
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A projectile i launched horizontally on a table that it 40 cm high. The projectile land 10 m away. What i the horizontal
velocity of the projectile a it leave the launcher?
The horizontal velocity of the projectile it leaves the launcher is 0.283 m/s.
The horizontal speed of a projectile is regular, and there's a vertical acceleration because of gravity; its cost is 9.8 m/s/s, down, The vertical speed of a projectile changes via nine.8 m/s every second, The horizontal motion of a projectile is impartial to its vertical movement.
Projectile motion is a form of motion experienced with the aid of an object or particle that is projected in a gravitational field, such as from Earth's floor, and movements alongside a curved route below the action of gravity best.
Projectile motion is the movement of an object thrown (projected) into the air. After the initial force that launches the item, it most effectively reports the pressure of gravity. The object is known as a projectile, and its route is called its trajectory.
Calculation:-
Horizontal distance = 40 cm
= 0.4 m
height of table = 10 m
Let vertical velocity is 0.
S = ut +1/2 at²
10 = 0 + 0.5 × 10 t²
t² = 10/5
t = 1.414 sec.
At the same time, it will take to cover a horizontal distance of 0.4 m.
Velocity = distance/time
= 0.4/1,414
= 0.283 m/s
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during each cycle of operation, the thermal energy input to a heat engine is 400 j and the exhaust is 300 j. this engine's efficiency is
The calculated efficiency of heat engine during each cycle is 25%.
What is heat engine and its efficiency?A heat engine is a machine that transforms heat energy into usable mechanical work for people. The process is carried out using a straightforward apparatus. The ratio of the work a heat engine performs to the heat it absorbs throughout each cycle is referred to as the heat engine's efficiency. It can also be referred to as the heat engine's thermal efficiency. If there is the greatest difference between the hot and cold reservoirs, a heat engine can operate at its maximum efficiency. There is no unit for efficiency.
A formula and a symbol can be used to indicate the efficiency of the heat engine, which is a fraction of the heat and useful work produced. The formula for heat engine efficiency is,
η= [tex]\frac{W}{Q1}[/tex]
where,
η= Thermal efficiency, W= Acquired useful work, Q1= Given heat energy
The energy given to the heat engine= 400 Joule
And the energy exhausted by the heat engine= 300 Joule
So, during each cycle of operation, the engine's efficiency can be calculated by:
η= [tex]\frac{Q1-Q2}{Q1}[/tex]
η= [tex]\frac{400-300}{400}[/tex]
η= [tex]\frac{1}{4}[/tex]
Therefore, this heat engine is found to be 25% efficient.
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Calculate the temperature increase ΔT in a 1.40 kg sample of water that results from the conversion of 19% of the gravitational potential energy directly to heat energy in the world's tallest waterfall, the 807-m ‑tall Salto Angel in Canaima National Park, Venezuela.
According to the given statement As a result, the water's temperature increased by 0.36°C.
What does increase in temperature mean?Higher temperatures raise the likelihood that heat waves may occur more frequently and last longer. Extreme heat can be deadly, resulting in conditions like heat exhaustion and heat stroke as well as actual mortality. Additionally, increased temperatures have the potential to trigger a variety of additional alterations globally.
Briefing:The formula below is used to determine the temperature rise (T).
ΔT = 0.19gh/c............. Equation 1
Where:
T stands for temperature rise.
g = Gravitational acceleration
Height is h,
While water's specific heat capacity is c.
From the question,
Given:
h = 807 m
g = 9.8 m/s²
c = 4184 J/kgK
Substitute these values into equation 1
ΔT = (0.19×807×9.8)/4184
ΔT = 0.36°C
As a result, the water's temperature increased by 0.36°C.
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What is the weight a 100 kg object on the Earth and in Jupiter, respectively? If the gravity of the moon = 1.62 m/s2, Earth= 9.81 m/s2, and Jupiter = 24.79 m/s2
The weight of the 100kg object on Earth and Jupiter is as follows:
Earth = 981NJupiter = 2479NHow to calculate weight?Weight is the force on an object due to the gravitational attraction between it and the Earth (or whatever astronomical object it is primarily influenced by).
This suggests that the weight of an object is determined by the gravitational attraction of the planet it is in (location). Mass of an object cannot change but the weight of an object is subjective to location.
The weight of an object can be calculated by multiplying the mass of the object by acceleration due to gravity of the planet it is as follows:
W = m × a
According to this question, the weight of an 100kilograms object on Earth and Jupiter can be calculated as follows:
On Earth = 100kg × 9.81m/s² = 981NOn Jupiter = 100kg × 24.79m/s² = 2479NLearn more about weight at: https://brainly.com/question/19099182
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A radio wave has a wavelength of 1000m and a frequency of 3x10^5 Hz. Calculate the wave speed.
Answer:
300000000 m/s
Explanation:
wave Speed = Wavelength x Wave Frequency
wave speed = 1000m * 300000
wave speed = 300000000 m/s
1. does the mass of the ruler matter when the pencil is located in the middle of the ruler? why or why not?
Yes, the mass of the ruler matter when the pencil is located in the middle of the ruler to measure distance from center.
Mass is used in physics to express inertia, a fundamental characteristic of all matter. Essentially, it is a mass of matter's resistance to changing its direction or speed in response to the application of a force. The change that an applied force produces is smaller the more mass a body has. The kilogram, the unit of mass in the International System of Units, corresponds to 6.62607015 1034 joule seconds using Planck's constant (SI). One joule is produced by multiplying one kilogram by one square meter per second. The kilogram is determined by exact measurements of Planck's constant since the second and the meter have previously been defined in terms of other physical constants.
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What is planetary migration, and how may it account for the surprising orbits of many extrasolar planets?.
Migration is the process through which a planet progressively approaches its star of origin. Much more extrasolar planets than we had anticipated are located very near to their sun. We believe that planets may migrate through their discs as a result of interactions with the disk's gas. Resonances caused by migration may cause orbits to become.
It specifies three requirements for a planet: It must move about a star (in our cosmic neighborhood, the Sun). It must be large enough for gravity to pull it in a spherical direction. It must have been large enough that any nearby objects of a similar size were removed by its gravitational pull.
Eight planets, 146 moons, a slew of comets, asteroids and other space rocks, ice, and numerous dwarf planets, including Pluto, make up our solar system. The Sun is the only star in the system. Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, and Neptune are the eight planets.
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The 2 substances in the containers below were heated to 50 degrees Celsius; then left to cool to room Temp of 20 degrees Celsius. Which will reach room temperature first?
Answer' RA
Explanation: I need points mb gang
A 7 kg bird has 10 joules of kinetic energy. How
fast is it flying?
Answer:
The velocity of the bird is 2 m /sec.
Explanation:
The formula for kinetic energy is given.
Where m is mass, and v is the velocity.
As given
A 4.0 kg bird has 8.0 joules of kinetic energy.
m = 4.0 kg
K.E = 8.0 joules
Putting in the formula
Thus
v = 2 m/sec
Therefore the velocity of the bird is 2 m /sec.
when passing through an abrupt wind shear which involves a shift from a tailwind to a headwind, what power management would normally be required to maintain a constant indicated airspeed and ils glide slope? a. higher than normal power initially, followed by a further increase as the wind shear is encountered, then a decrease. b. lower than normal power initially, followed by a further decrease as the wind shear is encountered, then an increase. c. higher than normal power initially, followed by a decrease as the shear is encountered, then an increase.
The power management required to maintain a constant indicated airspeed and ILS glide slope is lower than normal power initially, followed by a further decrease as the wind shear is encountered, then an increase
First the power is reduced than initial power, to correct the condition. As the aircraft proceeds through the wind shear, the power should further be reduced. After passing the wind shear the power is increased.
ILS stands for Instrument Landing System. It is a precision radio navigation system that provides guidance to aircraft in short range to approach the runway during night when vision is poor or when the weather is bad. The range is usually 200 feet above the ground.
Therefore, the power management required to maintain a constant indicated airspeed and ILS glide slope is lower than normal power initially, followed by a further decrease as the wind shear is encountered, then an increase
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If the current in a a wire is 2. 0 amperes and the voltage across the wire is 10 volts, what is the resistance of the wire?.
The resistance of the wire to the nearest tenth of an ohm is 2Ω.
We know that ,
Potential difference (V) = current (I) * Resistance (R)
V = IR
I = 2.0A
V = 10v
So the
R = ?
V = IR
R = V / I
R = 10 / 2
R = 2Ω
Thus the resistance across the wire is 2Ω.
Resistance is a measure of the opposition to current flow in an electrical circuit. resistance always measure in ohm.It design with R.A resistor is a device designed to produce resistance. resistor can be used to the limit current, divide voltage, or generate heat.
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a jet moving at 500 km/h due east is in a region where the wind is moving at 120.0 km/h in a direction 30.00 degrees north of east. what is the speed of the aircraft relative to the ground
The speed of the aircraft relative to the ground is 606.9 km/h.
Solution:
x-y coordinate system:
x is positive east. Similarly, y is positive north.
Now let's decompose each vector into x-y
500 km/h due east = (500, 0)
120 km/h at 30 north of east
= (120cos(30), 120 x sin(30)
= (120 x [tex]\frac{\sqrt{3} }{2} , 120*\frac{1}{2}[/tex])
= (60 x [tex]\sqrt{3}[/tex], (60)
Adding the vectors.
= (500,0)+(60 x [tex]\sqrt{(3)}[/tex],(60)
= (500 + 60 x [tex]\sqrt{(3)}[/tex],60
= (500 + 60 x 1.73,60)
= (500 + 103.8,60)
= (603.8,60)
Returning back to polar form
Magnitude = [tex]\sqrt{603.923^{2}+60^{2} } = 606.9[/tex]
The speed of the aircraft relative to the ground is equal to the speed of the aircraft relative to the air plus the velocity of the air relative to the ground. In other words, it neither moves closer nor farther away from you. They move at 80 km/h relative to the observer next to the track. They do not move relative to the textbook.
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although g is closer to the equator than d, it is cooler. what is the most likely factor that would contribute to this difference?
The correct answer is the most likly factor that contribute to this difference is angle of solar radiation and temprature.
Seasonal temperatures of sites at various latitudes are influenced by the angle of incoming solar radiation. The incoming solar energy is more direct (almost perpendicular or closer to a 90° angle) when the sun's rays hit the surface of the Earth close to the equator. Warmer temperatures result from the solar radiation being concentrated over a smaller surface area. Higher latitudes have narrower solar radiation angles, which spread energy across a broader region of the surface and result in cooler temperatures. Surface temperatures are typically warmer at lower latitudes and cooler at higher latitudes because the angle of radiation varies with latitude (even though higher latitudes have more hours of daylight during the summer months).
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what will be the work required to remove the dielectric? suppose the capacitor remains connected to the battery as the dielectric is removed.
The work removed from dielectric battery is explained below.
What is dielectric?
A material that is dielectric, insulating, or a very bad conductor of electrical current. As opposed to metals, dielectrics have no loosely bound, or free, electrons that could drift through the material, so practically no current flows in them when they are exposed to an electric field. Electric polarization instead takes place.
What is capacitor?
Energy can be stored as an electric charge in a capacitor, an electrical device with two terminals. It is composed of two electrical conductors that are spaced apart. The area between the conductors can be filled with vacuum or a dielectric, which is an insulating material.
Therefore, the dielectric is removed, the charge is in constant.
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mars has a mass of 6.40 x 1023 kg and a radius of 3.40 x 103 km. based on this data, what is the acceleration due to gravity at the surface of mars?
Mars has a mass of 6.40 x 1023 kg and a radius of 3.40 x 103 km. based on this data, The acceleration due to gravity at the surface of mars will be 3.69 [tex]m/s^{2}[/tex]
g = G M / [tex]R^{2}[/tex]
g = acceleration due to gravity on mars
G = gravitation constant
R = Radius
M = mass
g = 6.67 * [tex]10^{-11}[/tex] * 6.40 * [tex]10^{23}[/tex] / [tex](3.40 * 10^{6}) ^{2}[/tex]
= 3.69 [tex]m/s^{2}[/tex]
The acceleration due to gravity at the surface of mars will be 3.69 [tex]m/s^{2}[/tex]
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if the speed of a wave doubles while the wavelength remains the same, what happens to the frequency?
The speed of the wave is doubled while the wavelength remains same, the frequency of the wave will also become double.
The wavelength of the wave is given by the formula,
y = c/v
Where,
y is the wavelength,
c is the speed of the wave,
v is the frequency of the wave.
Now, let us say, if we doubles speed of the wave, then the frequency becomes v',
So we can write,
y = 2c/v'
Putting, c/y = v,
v' = 2v.
So, if the speed of the wave is doubled, then the frequency of the wave will also be doubled.
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a 1300 kg car is moving with a speed of 20 m/s. what power is produced by the brakes/friction in order to bring the car to rest in 3 seconds?
The power that the brakes/friction produce to bring the car to rest in 3 seconds is 86,666.667 W
This is how it is works:
Mass = 1300 kg
Speed = 20 m/s
Time = 3 seconds
Power to stop the car = ?
We can use the formula of kinetic energy to solve this problem. Let's take a look:
K.E = ½ m × v²
K.E = ½ 1300 × 20²
K.E = 650 × 400
K.E = 260,000 J
We got the kinetic energy that valued 260,000 J but we do not finished yet. In the question, we should stop the car in 3 seconds then we should find the power produced by the brakes. Here it is:
Power = Work : Time
Power = 260,000 : 3
Power = 86,666.667 W
KINETIC ENERGY:Kinetic energy refers to the energy of a body due to its motion. The kinetic energy can be calculated as follows:
K.E = ½ m × v²
Where :
K.E = kinetic energy (J)m = mass (kg)v = velocity (m/s)Learn more about kinetic energy https://brainly.com/question/25959744
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