Droplets of liquid take on their shape due to surface tension.The uneven cohesive forces of the surface layer tend to draw water droplets into a spherical shape, despite their ease of deformation.
Does surface tension push or pull?When the cohesive forces between the liquid molecules are greater than the adhesion to the walls, capillary action results.Water adhesion to a vessel's walls causes the liquid near the borders to be forced upward.The entire liquid surface is drawn upward because the surface tension maintains the surface in place. Surface tension exerts a force that is tangential to the surface, whereas air pressure exerts a force that is perpendicular to the surface. The force transmitted through a rope, string, or wire when two opposing forces pull on it is known as tension. Surface tension depends on the nature of the liquid, the surrounding environment and temperature.To learn more about surface tension refer
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a hydraulic lift used at an automotive repair shop raises a looo-kilogram car two meters off of the ground. what is the potential energy given to the car? * 1 point a) 1000 j b) 2000 j c) 10,000 j d)20,000 j
The potential energy provided to the car is 19600 joules, or around 20,000 j, when a 1000-kg car is raised two meter's off the ground using a hydraulic lift at an auto repair shop.
The energy that an item retains due to its position in hydraulic lift to other objects, hydraulic lift tensions, electric charge, or other Gravitational potential reasons is known as potential energy in physics. produces gravitational potential energy
GPE=mgh
where;
m equals the object's mass
g stands for the object's gravitational acceleration.
The height has increased by h in metres.
As The result is:
GPE = 1000kg*9.8m/s*2m
=19600kg m2/s2
=19600J
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what is the origin of the jovian moons? what is the origin of the jovian moons? they are trojan asteroids, orbiting 60 degrees ahead or behind jupiter. they all formed with the planet. they were ripped from the planet's interior in an early cataclysmic event. they were main belt asteroids, captured by jupiter's strong gravity. the four galilean moons formed with jupiter, most others were later captures.
(e)The four Galilean moons formed with Jupiter, most others were later captures
What Are the Characteristics of the Planet Jupiter?Since ancient times, the planet Jupiter has been a noteworthy astronomical object. It was called after the Roman king of the gods. Galileo observed Jupiter and its moons in 1610, and this observational data was crucial in establishing the heliocentric theory of planetary motion. When it is closest to Earth, this outer planet is hundreds of millions of kilometers away, but it is still clearly visible as a bright, colorful point in the night sky.The largest planet in the solar system is the gas giant Jupiter, which is more than 300 times as massive as Earth. Jupiter, after the moon and Venus, is the third-brightest object in the night sky because of its massive size and reflecting clouds. Jupiter orbits the sun at a distance of roughly 500 million miles, well outside the asteroid belt. One Jupiter year is roughly comparable to 12 Earth years due to the great distance between the two planets.Jupiter is orbited by more than 60 identified satellites or moons. Some satellites have brief, erratic orbits and are very small. Like the four moons found by Galileo, Io, Europa, Ganymede, and Callisto, other satellites are big and stable. These moons feature intricate, layered structures that are reminiscent of our own Earth and are almost as big as planets. The goal of current and upcoming space missions is to map out the moons of Jupiter and look for liquid water or possibly life.To learn more about Jupiter, refer to
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the y-axis carries a uniform linear charge density of -30 nc/m, and there is a 4.0 nc point charge at the point (4 cm, 0 cm, 0 cm) as well as a -12 nc point charge at the point (6 cm, 0 cm, 0 cm). what is the electric flux through a spherical surface of radius 5 cm centered at the origin?
The sphere's surface has a net flow of 339 103 Nm2/C.
What measures the Gauss law?According to Gauss's rule of electricity, any closed surface's electric flux is inversely proportional to the net electric charge q enclosed by the surface, or q = q/0, where 0 is the electric permittivity of empty space, which has a value of 8.854 10-12 square coulombs per newton per square meter.
Given:
The total charge contained within the sphere's surface, q=-3 C
The sphere's radius is 5 cm (5 10 2 m).
To locate
the total electric flux across the sphere's surface.
Explanation:
The net electric flow through the surface of the sphere is determined by Gauss's law, which is as follows:
, Φ = q/ε0
which has a value of 8.854 10-12 square coulombs per newton per square meter.
where the permittivity of empty space equals 0.
Using the known values as a substitute
The sphere's surface has a net flow of 339 103 Nm2/C.
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a horizontal wire that is 25 m long and has a mass of 100 g is held under a tension of 10 n. a sinusoidal wave of frequency 25 hz and amplitude 15 mm travels along the wire. calculate the maximum traveler velocity of any particle of the wire.
the maximum velocity of movement of any particle of the wire is 3.87 m/s
AND)
and)
L = wire length = 25 m
m = weight of wire = 100 g = 0.1 kg
The linear mass density of the wire is given as
μ = m/L = 0.1/25 = 0.004 kg/m
T = tensile force in the wire = 10 N
the speed of the wave along the wire is given as
v =√(T/μ)
v = √ (10/0.004)
v = 50 m/s
(ii)
A = amplitude = 15 mm = 0.015 m
f = frequency = 25 Hz
the maximum lateral velocity is given as
Vmax = 2πfA
Vmax = 2(3.14)(25)(0.015)
Vmax = 2.4 m/s
b)
F = force acting on each edge = 2.5 N
L = length of each edge = 0.75 m
m = weight of each edge = 125 g = 0.125 kg
the speed of the waves on the sheet is given as
v = √(FL/m) = √(2.5 x 0.75/0.125) = 3.87 m/s
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It takes 6 people pulling with a force of 500. N each to begin moving the opposing team which was pulling with a combined force of 2500. N during a match of tug-of -war. If the total mass of both teams was 2000. kg, what was the force due to static friction? HELP ME .
From the calculations, we have the coefficient of friction as 0.026.
What is the coefficient of static friction?We know that friction has to do with the force that tends to oppose the motion of an object. As such, the point where the force of friction acts is actually the surface that lies between two bodies.
Now, we can see that It takes 6 people pulling with a force of 500 N each to begin moving the opposing team which was pulling with a combined force of 2500 N. This implies that the total force of the people that are pulling from this other side is 6 (500N) = 3000 N
Now we have the net force that is acting on the the rope as; 3000 N - 2500 N = 500 N
Then;
Coefficient of friction = Net force/ Normal reaction
= 500 N/(2000 * 9.8) N
= 0.026
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What is the correct order of the planets in the solar system, starting closest to the sun?.
The correct order of the planets in the solar system, starting closest to the sun will be the order Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, and Neptune followed by the possible Planet Nine.
The sun, our star, and everything gravitationally connected to it, including the moons, planets, and dwarf planets like Pluto, Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, and Neptune, make up our solar system. The only known example of a habitable planet, the only star we can see up close, and the only planets we can explore with spacecraft are all found in the Solar System.
Understanding the formation and evolution of planets, as well as the conditions required for life, is dependent on studying the solar system. In a cloud of gas and dust known as the solar nebula, the Sun and the planets jointly created it 4.6 billion years ago.
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Projectile motion is a combination of _______________ motion in the horizontal direction, and ________________ motion in the vertical direction.
A. accelerated, accelerated
B. constant, constant
C. accelerated, constant
D. constant, accelerated
Projectile motion is a combination of constant motion in the horizontal direction, and accelerated motion in the vertical direction. Therefore, the correct answer option is: D. constant, accelerated.
What is projectile motion?Projectile motion can be defined as a form of motion which is experienced by a physical object (body) that is projected near the surface of planet Earth, while moving along a parabolic (u-shaped curve) path, and under the influence of a gravitational force only.
Based on scientific research and records by scientists such as Galileo, we can infer and logically deduce that the initial horizontal velocity of a physical object undergoing a projectile motion is always equal to its final horizontal velocity.
Additionally, Galileo stated that projectile motion combines constant or uniform motion in the horizontal direction and accelerated motion in the vertical direction.
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(part 1 of 2)
The Royal Gorge bridge over the Arkansas
River is 352 m above the river. A bungee
jumper of mass 124 kg has an elastic cord of
length 55 m attached to her feet. Assume the
cord acts like a spring of force constant k. The
jumper leaps, barely touches the water, and
after numerous ups and downs comes to rest
at a height h above the water.
The acceleration of gravity is 9.81 m/s^2
Find h. Answer in units of m.
(part 2 of 2)
Find the maximum speed of the jumper.
Answer in units of m/s.
a. The height of the bungee jumper above the water is 171.72 m
b. The maximum speed of the bungee jumper is 83.1 m/s
a. How to find the height h of the bungee jumper above the water?Since the bungee jumper barely touches the water surfaces and comes to rest after numerous bounces, using the law of conservation of mechanical energy,
K = U where
K = elastic potential energy of cord = 1/2 kx² where k = spring constant, x = extension of cord = H - L where H = height of bridge = 352 m and L = length of cord, U = gravitational potential energy of jumper = mgH where m = mass of jumper = 124 kg, g = acceleration due to gravity = 9.81 m/s² and H = height of bridgeSo, 1/2 kx² = mgH
1/2 k(H - L)² = mgH
Making k subject of the formula, we have
k = 2mgH/(H - L)²
Substituting the values of the variables into the equation, we have
k = 2mgH/(H - L)²
k = 2 × 124 kg × 9.81 m/s² × 352 m/(352 m - 55 m)²
k = 856373.76 kgm²/s² ÷ (297 m)²
k = 856373.76 kgm²/s² ÷ 88209 m²
k = 9.71 N/m
Next, we find the extension of the bungee cord. WE know that the spring force, F = kx where
k = spring constant and x = extensionequals the weight of the bungee jumper, W = mg when the bungee jumper is at rest.
so, F = W
kx = mg
x = mg/k
Substituting the values of the variables into the equation, we have
x = 124 kg × 9.81 m/s²/9.71 N/m
x = 1216.44 kgm/s²/9.71 m
x = 125.28 m
So, the total stretched length of the bungee cord after it comes to rest is L' = L + x = 55 m + 125.28 m = 180.28 m
So, the height of the bungee jumper above the water is H' = H - L'
= 352 m - 180.28 m
= 171.72 m
So, the height above the water is 171.72 m
b. How to find the maximum speed of the jumper?To find the maximum speed of the jumper, we must have minimum extension of the bungee cord.
Using the law of conservation of mechanical energy, the maximum potential energy of the jumper, U equals the mnimum elastic potential energy of the cord, U' + the maximum kinetic energy of the bungee jumper, K'
So, U = U' + K'
mgH = 1/2kx'² + 1/2mv² where
m = mass of bungee jumper = 124 kg , g = acceleration due to gravity = 9.81 m/s², H = height of bridge = 352 m, k = spring constant = 9.71 N/m, x = minimum extension of cord = 0 m, and v = maximum speed of bungee jumperMaking v subject of the formula, we have
v = √[2gH - (kx'²/m)]
Substituting the values of the variables into the equation, we have
v = √[2gH - (kx'²/m)]
v = √[2 × 9.81 m/s² × 352 m - (9.71 N/m × (0 m)²/124 kg)]
v = √[6906.24 m²/s² - (9.71 N/m × 0 m²/124 kg)]
v = √[6906.24 m²/s² - 0 Nm/kg)]
v = √(6906.24 m²/s²)
v = 83.1 m/s
So, the maximum speed is 83.1 m/s
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After energy conversions, you end up with the same total amount of energy as the original amount energy. Which law explains this rule?.
The law that explains it is called the law of conservation of energy.
What does the law mean?The law of conservation of energy states that in an isolated system, the total energy remains constant, i.e., the total energy is conserved over time. Therefore, the initial energy of an isolated system is equal to the final energy of the system. As a result, energy can neither be destroyed nor created. Energy can only be transferred or transformed from one from to another.
The law of conservation of energy can be mathematically expressed as K₁ + U₁ = K₂ + U₂ where K₁ is the initial kinetic energy, U₁ is the initial potential energy, K₂ is the final kinetic energy and U₂ is the final potential energy.
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A rocket is burning fuel at the rate of 300g/s and electing all the gas. In one direction of the rate of 500m/s what is maximum weight the rocket burn have if it going to move Vertically upward.
Correct option is D)
Overall momentum of the system is conserved.
Therefore, change in momentum of the rocket will be equal to that of the fuel.
Change in momentum of the fuel will be
Δmv=60000
Hence, change in momentum of the rocket will also be:
△P=60000
Thrust force F=
△t
△p
F=60000 N
a pushing force of 7 n to the right is applied to a book on a table. a frictional force of 3 n is applied in the opposite direction. in which direction will the book move? (1 point)
The book will move in the right direction as the pushing force is greater than the frictional force.
What is the net force?The net force can be defined as the vector sum of all forces acting on an object. The net force is defined as a single force giving same the effect as the original forces on the object's motion.
The net force becomes the resultant force with the same effect on the rotational motion as all original forces took together by the object.
In the question, the pushing force will act in the opposite direction of the frictional force so we can find the net force by subtracting these two forces.
Given, the pushing force to push the box = 7N
The frictional force on the book, = 3 N
The net force on the book = 7N + (-3N) = 4N
Therefore, the net force act in the direction of the pushing force, therefore, the book will move in the right direction.
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Answer:The book will move to the right.
Explanation:
A resistor, an inductor, and a capacitor are connected in series to an ac source. What is the phase angle between the voltages of the inductor and capacitor in this rlc circuit?.
If a resistor, an inductor and a capacitor are connected in series, the phase angle between the voltages of the inductor and capacitor in a RLC series circuit is 180 degrees.
A resistor , capacitor and inductor are key components of a RLC circuit. Resistor doesn't store energy but capacitor and inductor stores energy and that is the reason resistor is called a passive element and inductor and capacitors are called active element.
Inductor leads the current by a phase angle of 90 degrees and the voltage across the capacitor lags the current by 90 degrees, so the phase difference between the voltages of the inductor and the capacitor is 180 degrees in an RLC circuit.
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a student slides her 80.0-kg desk across the level floor of her dormitory room a distance 5.00 m at constant speed. if the coefficient of kinetic friction between the desk and the floor is 0.400, how much work did she do? a student slides her 80.0-kg desk across the level floor of her dormitory room a distance 5.00 m at constant speed. if the coefficient of kinetic friction between the desk and the floor is 0.400, how much work did she do? 20.4 j 9.41 j 23.5 j 1.57 kj 15.7 j
Work she did 1.57kj.
Option d is correct
How do kinetic and static friction differ?Kinetic and Static Friction The friction that exists between two systems when they are in touch and immobile with respect to one another is known as static friction. Kinetic friction is the friction that occurs when two systems are in contact and moving in relation to one another.
F(net) = F(applied) - F(friction)
0 = F(applied) - F(friction)
F(applied) = F(friction) (1)
Work done = F(applied) *(desk travel distance)
From 1
Work done = F(friction)*(desk travel distance)
W = µNd
W = µmgd
W = (0.400)(80.0 kg)(9.81 m/s²)(2.00 m)
W =1568 J ← work done to move the desk.
W = 1.57kj
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5. the location and gimbal limits of the flir sensor prevent the p* from seeing the terrain directly beneath the aircraft. what must the p* do prior to conducting a landing from a hover?
Your ability to land safely is the primary prerequisite in order to protect your passengers and people on the ground.
Explain about the gimbal?
In the same way as a tripod would if you were shooting a picture or remained in one place while taking it, a gimbal employs sensors and motors to stabilize and support your camera.
The majority of contemporary rockets, including the Space Shuttle and the Saturn V moon rocket, employ a technique known as gimbaled thrust. The rocket's exhaust nozzle can be moved in either direction when using a gimbaled thrust system. In relation to the rocket's centre of gravity, the thrust direction changes when the nozzle is moved.
When using Euler angles in applied mathematics, the gimbal lock problem arises; creators of 3D computer programmes, such as 3D modelling, embedded navigation systems, and video games, must take care to avoid it.
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An electric pace heater draw 25. 0 A from a 200 V ource. It i operated, on the average, for 10. 0 h each day. At AED 0. 30 per kWh, how much doe it cot to operate the heater for 15 day?
The consumption to operate the heater for 15 days is $2.25
Electricity consumption refers to all of the electricity used to perform a movement, manufacture something, or definitely inhabit a construction. here are some examples: In a manufacturing unit, overall electricity consumption can be measured with aid of looking at how lots power a manufacturing technique consumes, for instance, via making car elements.
The full-strength intake consists of that of coal, crude oil and their products, natural gasoline, and electricity, but, it excludes the intake of gas of low calorific fee, bio-strength, and solar energy.
Calculation:-
Voltage (V) = 200 V
Current (I) = 25 A
Power (P) = VI = 200 * 25 = 5,000 W
Now, the calculation of the energy consumption for 15 days in KW/h
We will convert W to kW,
1000 W = 1kW
Therefore,
5,000 W = 5000 W × 1 KW / 1000 W = 5kW
The daily energy consumption will be calculated. This is attainable as follows,
P = 5kW
Time(t) = 10 h
Energy (E) = P/t = 5/10 = 0.5 kW/h per day.
Finally, we will calculate the energy usage for the next 30 days. This is attainable as follows:
1 day = 0.5 kW
Cost of one day = 0.5 * 0.30 = $ 0.15
Now, the cost to operate the heater for 15 days = $ 15 * 0.15 = $2.25
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when two identical resistors are connected in series across the terminals of a battery, the power delivered by the battery is 20 w. if these resistors are connected in parallel across the terminals of the same battery, what is the power delivered by the battery?
If these resistors are connected in parallel across the terminals of the same battery, the power delivered by the battery is 80 W
Write the expression for the total power delivered by the battery in
parallel,Pp = 2P1
Here, Po is the total power delivered by the battery in parallel.
Pp = 2 [(ΔV)²/R]
= 4 [(ΔV)²/2R]
= 4Ps
Pp =4(20)
P =80 W
Electrical resistance is implemented as a circuit element by resistors, which are passive two-terminal electrical components. Resistors are devices that are used in electronic circuits for a variety of purposes, including lowering current flow, adjusting signal levels, dividing voltages, biasing active components, and terminating transmission lines. Electrical resistance is provided by a resistor, a two-terminal electrical component. Resistors are mainly used to split voltages, block transmission signals, reduce current flow, and bias active components in electronic circuits.
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an object with mass 3.1 kg is executing simple harmonic motion, attached to a spring with spring constant 260 n/m . when the object is 0.019 m from its equilibrium position, it is moving with a speed of 0.65 m/s . part a calculate the amplitude of the motion. express your answer to two significant figures and include the appropriate units.
The amplitude of the motion is A = 7.3*10⁻²m and the maximum speed attained by the object Vmax=0.66 m/s
speed v= 0.65 m/s
Angular speed is ω,
ω = √k/m=√260/3.1=9.15 s⁻¹
Amplitude = A is
A = √x²+v²/ω²
=√0.019²+0.65²/9.15²=0.073m
A=7.3*10⁻²m
Vmax=ωA=9.15*0.073
Vmax=0.66 m/s
The distance in amplitude between the wave's resting position and its highest movement. quantity of waves travelling by a particular point each second. The length of time it takes for one wave cycle to end. We experience loudness or volume as a function of the relative strength of the sound waves (transmitted vibrations).Amplitude is a tool for studying data on user behavior. It helps the growth, product, and marketing teams make decisions by drawing conclusions about user behavior from data. Understanding user behavior better can assist a business in developing fresh approaches to increase user engagement, customer loyalty, and income.
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you see a manned aircraft in the distance while flying your drone at night. on the left, you're seeing a green light. on the right, you're seeing a red light. which direction is the aircraft headed?
The airplane is heading away from us when we see a manned aircraft in the distance while flying our drone at night.
Distance is the length between two points or items, and it is directionless. Since distance is a scalar attribute, it only takes into account the overall magnitude and ignores the start and end locations. Being a scalar attribute, distance may only be positive or zero; it cannot be the opposite.
Although kilometers (km) and centimeters (cm) or millimeters (mm) can also be used to express shorter distances, the meter (m) is the most used unit of measurement for distance (mm). When calculating distance, the letter D is usually used to denote the distance traveled.
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a current of 1.80 a flows in a wire. how many electrons are flowing past any point in the wire per second?
Any point in the wire has 1.12 x [tex]10^{19}[/tex]. electrons flow per second.
What causes a current in a wire?Electric current in a wire, where electrons serve as the charge carriers, is a measurement of the amount of charge that moves through any point of the wire in a given amount of time.A free electron is drawn to a proton to become neutral if an electron is added to the wire.Lack of electrons can result from pushing electrons out of their orbits.Electric current is the name given to the constantly moving electrons in wire.The current is the quantity of charge Q flowing through a certain point of the wire in a time interval of [tex]\Delta t[/tex].
I = [tex]\frac{Q}{\Delta t}[/tex].
by using this relationship
I=1.80 A, we can find the charge passing any point in the wire in 1 second:
Electric Charge, Q = 1.80 C.
To find how many electrons corresponds to this charge, we should divide this value by the charge of a single electron
charge of the electron = 1.6 x [tex]10^{-19}[/tex] C.
No. of Electrons = Q/q = [tex]\frac{1.80}{1.6* 10^{-19}}[/tex]= 1.12 x [tex]10^{19}[/tex].
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if the age of the universe were compressed to one year, with the big bang on january 1, about when did the milky way galaxy system form? in january in february in september in december
February is the month that the Milky Way galaxy system begins to develop.
What is milky way galaxy?
The Milky Way is a massive cluster of stars, gas, and dust. Because it would appear to be a whirling pinwheel from the top or bottom, this galaxy is a spiral galaxy. About 25,000 light-years from the galactic center, on one of the spiral arms, is where the Sun can be found.
What is the Big Bang hypothesis?
According to the Big Bang hypothesis, the universe originated from a single, unfathomably hot, and dense point (also known as a "singularity") more than 13 billion years ago. It didn't happen at a location that was previously there. Instead, it was the one who started space's expansion and cooling.
Therefore, February is the month to be considered as the formation of the Milky way galaxy.
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HELP ASAP
Imagine you have a new strand of lights wired in series-
parallel. All the bulbs are working as expected.
Which place in the circuit has the highest resistance?
which relationship best represents the relationship between the magnitude of the centripetal acceleration and the speed of an object moving in a circle of constant radius?
the object's speed and centripetal acceleration in a circle with a constant radius is the exponential curve going up.
acceleration is the rate of change in both speed and direction of velocity over time. When something moves faster or slower in a straight line, it is said to have been accelerated. Because the direction is constantly shifting, motion on a circle accelerates even when the speed is constant. Both effects add to the acceleration for all other types of motion.
It is a vector quantity because acceleration has both a magnitude and a direction. Another vector quantity is velocity. The velocity vector change over a given period of time, divided by that period of time, is the definition of acceleration. The upper limit of the ratio of velocity change provides instantaneous acceleration (at a specific time and place).
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a car traveling but at 100 km/h and applies it's brake to stop the acceleration is -10 m/s2 how long does it take for the car to stop?
Answer:
10s [seconds]
Explanation:
[tex]t = \frac{v}{a} [/tex]
t = v/at = 100/-10t = -1010s [seconds]at what speed do a bicycle and its rider, with a combined mass of 120 kgkg , have the same momentum as a 1800 kgkg car traveling at 5.4 m/sm/s ? express your answer to two significant figures and include the appropriate units.
27m./s speed do a bicycle and its rider, with a combined mass of 120 kg , have the same momentum as a 1800 kg car traveling at 5.4 m/s.
Speed can be defined as the distance travelled by the object per unit time. Momentum can be defined as the product of the mass and the speed of the object.
The equation for the momentum is p = mv
Here, m is the mass of the object and v is the speed of the object. The equation for the impulse is, I = mΔ v
Here, m is the mass and is the change in momentum. The equation for the change in speed is
Here, ΔV = [tex]V_{f} -V_{i}[/tex]
is the initial speed [tex]v_{i}[/tex]
is the final speed.[tex]v_{f}[/tex]
Step: 1
The equation for the momentum of the bike and rider is, P (B+R)= M [tex](B+R)^{V}[/tex]…… (1)
Here, M (B+R) is the mass of the bike and rider, and v is the speed of the bike and rider.
The equation for the momentum of the car is [tex]P_{car} = m_{car} V_{car}[/tex]…… (2)
Here,
[tex]m_{car }[/tex]is the mass of the car and
[tex]V_{car}[/tex]is the speed of the car.
According to the question, the momentum of the bike and rider is the same as that of the momentum of the car, that is,
Substitute the equations (1) and (2) in above equation.
[tex]M_({B+R^{v} )}[/tex]= [tex]M_{car}V_{car}[/tex]
Rearrange the above equation for v. v = [tex]M_{car}V_{car}[/tex]/[tex]M_({B+R^{} )}[/tex]
Substitute 1800 kg for[tex]M_{car}[/tex] , and for 5.4m/s in above equation.
v = ( [tex]\frac{(1800) (5.4)}{120}[/tex] = 27m./s
Here, the momentum of the bike and rider is depending on the combined mass of the bike and rider and the speed of the bike and raider.
What is speed?Measurement is the most important concept in science. There are many measurable quantities that are measured in basic or fundamental physical units. Speed is one such measurable quantity that measures the ratio of the distance travelled by an object to the time it takes to travel. Acceleration is defined as the rate of change of velocity with respect to time. Acceleration is a vector quantity because it has both magnitude and direction. It is also the second derivative of position with respect to time or the first derivative of velocity with respect to time.
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the airplane in the image below is flying horizontally (parallel to the ground) with a velocity of 65.0 m/s and an altitude of315 m when it releases a care package. if we ignore air resistance, how far (measured in meters)will the package travel along the horizontal,x-dimension (range) before hitting the ground?
The package travel along the horizontal 516.1 m before hitting the ground.
When an object was released from a plane with a constant speed, the object also has a gravity force. So the object has a projectile motion.
Along the x-axis, the object gets uniform velocity.If the problem didn't give the magnitude of the acceleration due to gravity, we can assume it's 10 m/s².
Calculate elapsed time.
[tex]h = \frac{1}{2} gt^2[/tex]
[tex]315 = \frac{1}{2} \times 10 \times t^2[/tex]
315 = 5 × t²
[tex]t^2 = \frac{315}{5}[/tex]
t² = 63
[tex]t = \sqrt{63}[/tex]
t = 7.94 s
Calculate the displacement.
d = uₓ × t
d = 65.0 × 7.94
d = 516.1 m
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a man pulling an empty wagon causes it to accelerate at 1.4 m/s2 what will the acceleration be if he pulls with the same force when the wagon contains a child whose mass is three times that of the wagon? express your answer using two significant figures.
The acceleration will be 0.35 m/s^2 if he pulls with the same force when the wagon contains a child weighing 3 times of wagon.
What is acceleration and how the acceleration is calculated out to be so?Acceleration is a quantity which represents the force applied per unit mass of a substance .Here a man is pulling an empty wagon to accelerate at 1.4 m/s^2 and the question is asked the acceleration if pulled with same force.But the wagon contains a child whose mass is three times of the wagon .Considering 'M' the mass of wagon , 3M would be the mass of child and total mass = 4M.The pulling force on wagon would be 4Ma, since the force are equal , equating 1.4 M =4Ma , this implies a = 0.35m/s^2.So the acceleration with which the wagon is pulled is 0.35m/s^2 knowing the mass of child is three times the mass of wagon.To know more about acceleration visit:
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On a distance vs. time graph for an object, a line segment that is sloping upward indicates (1 point)
O motion in the positive direction.
O motion in the negative direction.
Othat the object is speeding up.
O that the object is accelerating.
If the line segment is slopping up, what that means is that the object is speeding up.
What is a graph?The term graph has to do with a plot that is shown on the x - y Cartesian plane that a vertical and a horizontal axis. In the distance vs. time graph, the distance is plotted on the vertical axis and the time is plotted on the horizontal axis.
We know that a line could be drawn that joins the plots in a graph. The slope if the graph can be obtained from this line of best fit that is obtained from the graph. This line could be moving upwards or downwards.
If the line is moving downwards, it means that the slowing down but a motion in the upwards direction could mean that the object is speeding up. Thus we have an increase in the speed of the object as the object is in motion.
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Answer:
motion in the positive direction
Explanation:
Remember "a straight line indicates a constant velocity"
a 20.0 kgkg wood ball hangs from a 1.30 mm -long wire. the maximum tension the wire can withstand without breaking is 400 nn . a 0.900 kgkg projectile traveling horizontally hits and embeds itself in the wood ball. part a what is the largest speed this projectile can have without causing the cable to break? express your answer with the appropriate units.
The answer is 99.5m/s
When the bullet strikes the wood it starts moving and due to cable its starts moving in circular motion so a centripetal force is generated towards the center so we can write
T - mg = mv²/r
Given:
m = (20 + 0.9)kg
maximum T = 500N
r = 1.3m
so,
500 - (20.9)(9.8) = (20.9) v²/ 1.3
v² = 4.285m/s
so the speed of wooden ball and projectile is 4.285m/s
Now by conservation of momentum
m₁v₁ = m₂v₂
(0.9)v = (20.9)(4.255)
v = 99.5m/s
So the safest speed of projectile is 99.5m/s
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what is the radius of an object turn if the acceleration is 1.4m/s^2 and has a velocity of 5.3 m/s
Answer:
Radius 20 m.
Explanation:
Given:
aₙ = 1.4 m/s²
V = 5.3 m/s
___________
R - ?
Centripetal acceleration:
aₙ = V² / R
Radius:
R = V² / aₙ
R = 5.3² / 1.4 ≈ 20 m
you are in a rocket ship in deep space, far away from any gravity. you decide to do an experiment to determine the mass of your rocket ship. initially your ship is traveling to the right at 800 m/s, then the engines begin to exert 300,000 n of constant force to the left and do so for 40 seconds. afterward, your rocket ship is traveling to the left at 200 m/s. what is the mass of your rocket ship?
The mass of the rocket travelling in the space is 20000 kg.
The initial velocity of the rocket is 800m/s.
The final velocity of the rocket is 200m/s.
The time for which the constant force of 300000 Newton is applied is 40 second.
We know that if the force is constant than the acceleration must be constant and for the constant acceleration we can use the equation of motion,
V = U + at
Where,
V is the final velocity,
Uis the initial velocity,
a is the acceleration,
t is the time period.
Putting values,
800 = 200 + a40
600 = 40a
a = 15m/s².
The acceleration of the rocket is 15m/s².
The force on an accelerated bodies given by,
F = Ma
M is the mass of the rocket,
Putting values,
300000 = M(15)
M = 20000 Kg.
So, the mass of the rocket is 20000 kg.
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