The fast with which lava hot springs travelling in 15.01 m/s when it hit the surface of water.
What do you mean by motion in a gravitational field?When an object moves, it is said to be in motion under gravity since gravity has an impact on the object's vertical motion. Gravity is the force that pulls objects down. Known as acceleration owing to gravity, the earth's gravity pulls the object toward itself with an acceleration.
Height of platform =11.5 m = h
V^2 = U^2 -2gh
initial vlocity U = 0
V^2= - 2 x-9.8m/s x 11.5
= > V= 15.01m/s
What is free fall in motion under gravity?A body is said to be in freefall when it is only being moved by the gravity of the earth. The ball is encountering external push, thereby the motion will intensify. The term "gravitational acceleration" is also used to describe this rate of free fall.
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Why does sexual harassment at school often go unreported?
1. The victim feels empowered.
2. The victim knows others who were harassed.
3. The victim fears that others will not believe the report.
4. The victim enjoys the offender’s attention.
Answer:
My answer is 3 because this happend to someone I know
Explanation:
g what is the velocity of the entangled cars after the collision in terms of masses m1 and m2, and the initial velocity of the second car?
The vehicles get twisted up. Before the collision, the second car was driving at a speed of v2.
What is a collision, exactly?A collision is a brief interface between individuals bodies or even more than 2 bodies at once that modifies the motion of the bodies involved as a result of internal forces acting between them. The forces involved in collisions
What transpires in an accident?Both objects are accelerated by the equal-sized, opposite-directed forces that result from a collision. In collisions with objects of identical mass, all objects accelerate similarly.
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Select the correct image.Mathew is simulating forces on a simple machine. He runs four tests as shown. Which test illustrates a balanced net force?
Test 4 illustrates a balanced net force as both the forces acting in opposite directions are equal in magnitude.
Net force is zero in image depicted by test 4. Thus, the forces acting in opposite direction, upward and downward, can be considered as balance forces. Equal in size and directed oppositely, balanced forces are those. One definition of equilibrium is a state of balanced forces. When the forces are in balance, there is no change in direction.
While balanced forces can keep an object at rest or moving at a constant speed, unequal forces can cause objects to accelerate. We are brought back to remember the condition of weight in order to comprehend this as :
F = ma,
where the magnitude of Force is equal to the product of the mass and the acceleration due to gravity.
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earth and jupiter both travel in a roughly circular orbit around teh sun. jupiter's orbit is approximately 5 times the radius of the earth's orbit. what is the approximate relationship between the centripetal acceleration of each planet?
The orbit of Jupiter has a radius that is roughly five times that of the earth. the centripetal acceleration of Jupiter will be (v^2 / 5r) which is 1/5th the acceleration of Earth.
What is the moon's net gravitational field as a result of the sun and Earth?zero
The intersection of the gravitational fields of the Sun, Earth, and Moon is known as the neutral point because it is where the combined gravitational pull of the three bodies is zero. About 80 times as much mass as the Moon is the Earth.
The centripetal acceleration of a planet in a circular orbit is given by the formula: a = v^2 / r, where a is the acceleration, v is the velocity of the planet, and r is the radius of the orbit. Since Jupiter's orbit is approximately 5 times the radius of Earth's orbit, the radius of Jupiter's orbit is 5r.
Since the velocity of both planets is roughly the same (as they both travel in roughly circular orbits around the Sun), the centripetal acceleration of Jupiter will be (v^2 / 5r) which is 1/5th the acceleration of Earth.
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how much heat transfer is required to raise the temperature of a - aluminum pot containing of water from to the boiling point and then boil away of water?
The heat transfer is required to raise the temperature of a - aluminum pot containing of water from to the boiling point is 5.896 x 10^5 cal.
What does "heat transfer" mean?Heat transfer is specified as "the transmission of heat over the boundary of the system due to a difference in temperature between the system and its surroundings" by thermodynamic systems.
m1 = 0.75kg
m2 = 2.5kg
T1 = 30.6 °C
Tv = 100°C
m = 0.75
The heat required = Q = (m1cp1 + m2cp2) (Tv-T1);
=> (750 x 0.214 cal/g.K + 2500 x 1 cal/g.K) (100-30.6)
=> 1.846 x 10^5cal.
Qv = λv m = 540cal/g.K x 750g =>4.05 x 10^5cal.
Qt = Q + Qv = 1.846 x 10^5cal + 4.05 x 10^5cal
=> 5.896 x 10^5 cal
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(a) How much heat transfer is required to raise the temperature of a 0.750-kg aluminum pot containing 2.50 kg of water from 30.6∘C to the boiling point and then boil away 0.750 kg of water?
a ball is launched from a cliff 50 m high with a velocity of 25 m/sec at 37o above the horizontal. how fast will it be moving when it hits the ground?
The 15.04 m/s fast will it be moving when it hits the ground.
What is velocity ?An object's velocity is a key factor in determining its position and rate of motion. It is comprehensible as the distance an object moves in a single interval of time. The term "velocity" describes how far an object travels in a predetermined length of time.
What is mass ?Measuring inertia, a property of all stuff that cannot be changed. What a body of matter is in essence is the resistance it provides to a change in its speed or location brought about by the application of a force.
The vertical component of velocity is given by
usinθ
Here,u=25m/s and θ=37°
So,vertical component will be 25sin37°
And on further solving it would be 15.04 m/s.
Therefore, 15.04 m/s fast will it be moving when it hits the ground.
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A large pendulum (4.0 kg) is moving at 2.0 m/s and has mechanical energy of 68.0 J. What is the height of the pendulum in meters?
Answer:
Explanation:
m = 4.0 kg
v = 2.0 m/s
g = 10 m/s²
Mechanical energy of the pendulum = 68.0 J
Mechanical energy of the pendulum = Potential energy of the pendulum + Kinetic energy of the pendulum
mgh + 1/2 mv² = 68
4 × 10 × h + 1/2 × 4 × 2 × 2 = 68
40 h + 8 = 68
40 h = 68-8
40 h = 60
h = 60 / 40
h = 3/2 m
h = 1.5 m
can there be a non-zero electric field at a point in space where no charged object is present? can there be an electric field equal to zero at a point where a charged object is present?
Yes, there can be a non-zero electric field at a point in space where no charged object is present. No, there cannot be an electric field equal to zero at a point where a charged object is present.
An electric field is defined as the force experienced per unit charge at a point in space. Even if there is no charged object present, an electric field can be present due to the presence of other charges in the surrounding area. For example, if there are charges present on a nearby conductor, the electric field can extend into the surrounding space.
On the other hand, it is not possible for an electric field to be equal to zero at a point where a charged object is present. The electric field is a measure of the force exerted on a test charge placed at that point, and a charged object exerts an electric force on other charges. Therefore, an electric field must be present at any point where a charged object is present.
The electric field can be zero at a certain point in space if there are no charges around that point or if the charges around that point balance each other out to create a net zero electric field.
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a car starts from rest and accelerates at 4 m/s2. how much time will it take the car to reach a speed of 20 m/s?
Answer:
t=5 seconds
Explanation:
To solve, use kinematic equation #1, [tex]v_f=v_i+at[/tex], rewritten to solve for t:
[tex]t=\frac{v_f-v_i}{a}[/tex]. For this problem, let
[tex]v_f=20\frac{m}{s}\\v_i=0.0\frac{m}{s}\\a=4.0\frac{m}{s^2}[/tex]
So,
[tex]t=\frac{20.0\frac{m}{s}-0.0\frac{m}{s}}{4.0\frac{m}{s^2}}\\t=\frac{20.0\frac{m}{s}}{4.0\frac{m}{s^2}}\\t=5s[/tex]
006 10.0 points
The speed of a moving bullet can be determined by allowing the bullet to pass through
two rotating paper disks mounted a distance 92 cm apart on the same axle. From the angular displacement 40° of the two bullet holes in the disks and the rotational speed
1396 rev/min of the disks, we can determine the speed of the bullet.
What is the speed of the bullet?
Answer in units of m/s.
The speed of bullet is 31.72 m/s.
First use the angular displacement to find the time.
Speed is what it means. the speed at which an object's location changes in any direction. The distance traveled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity.
The pace at which a distance changes over time is referred to as speed. It has a dimension of time-distance. As a result, the fundamental unit of time and the basic unit of distance are combined to form the SI unit of speed. Thus, the metre per second (m/s) is the SI unit of speed.
Δθ = ω t
40° × (1 rev / 360°) = 1396 rev/min × (1 min / 60 s) t
t = 0.029s
Now use the distance to find the speed.
v = Δx / t
v = 0.92 m / 0.029s
v = 31.72 m/s
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Two small aluminum spheres, each having mass 0.0250 kg, are separated by 80.0 cm. Their radius is much smaller than their separation. How many electrons does each sphere contain? (The atomic mass of aluminum is 4.482 x 10-26 kg/atom, and its atomic number, the number of protons and electrons per atom, is 13.) How many electrons would have to be removed from one sphere and added to the other to cause an attractive force between the spheres of magnitude 1.00 x 104 N (roughly one ton)? Assume that the spheres may be treated as point charges. What fraction of all the electrons in each sphere does this represent?
How many electrons would have to be moved by one ball to the next in order to have a 1.00 x 104 N imbalance between them? 7.2 x 1010 is equal to fractional = n/ = (5.25 x 1015)/(72.8 x 1023).
What do you mean by magnitude?In terms of physics, magnitude is just "distance or quantity." It demonstrates the size, direction, and speed of an item in both relative and absolute terms. It's used to indicate the size or scope of something. In physics, the term "magnitude" often refers to the a size or amount.
Calculation
m = mass of each aluminium sphere = 0.0250 kg = 0.0250 x 1000 g = 25 g
M = atomic mass = 26.982 g/mol
n = number of moles
Number of moles is given as
n = m/M
n = 25/26.982
n = 0.93
N₀ = Avogadro's number = 6.023 x 10²³
N = number of atoms
Number of atoms is given as
N = n N₀
N = (0.93) (6.023 x 10²³) = 5.6 x 10²³ atoms
= number of electrons per atom = 13
= total number of electrons
Total number of electrons are given as
= N
= (13) (5.6 x 10²³)
= 72.8 x 10²³ electrons
b)
F = magnitude of electric force between the two spheres = 1 x 10⁴ N
r = distance between the spheres = 80 cm = 0.80 m
Q = magnitude of charge on each sphere = ?
Using Coulomb's law, force between the spheres is given as
F = k Q²/r²
inserting the values
1 x 10⁴ = (9 x 10⁹) Q²/(0.80)²
Q = 8.4 x 10⁻⁴ C
n = number of electrons removed
e = magnitude of charge on each electron
using the equation
Q = n e
8.4 x 10⁻⁴ = n (1.6 x 10⁻¹⁹)
n = 5.25 x 10¹⁵
c)
Fraction = n/ = (5.25 x 10¹⁵)/(72.8 x 10²³) = 7.2 x 10⁻¹⁰
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a motor that does 24 000] of work in two minutes
The power of a motor that does 24 000 J of work in two minutes is 200 watts.
Give a brief account on Power?Power is the rate at which energy is transferred, used, or transformed. It is often measured in units of watts (W) or horsepower (hp). Power can also refer to the ability or capacity to do something, such as the power of a ruler to govern or the power of a machine to perform a specific task. In physics, power is defined as the amount of work done per unit of time.
The power output of that motor would be 24,000 joules per two minutes, or 12,000 joules per minute (24,000/2). To convert to watts, divide by the number of seconds per minute, which is 60. Therefore, the power output of the motor is 200 watts (12,000/60).
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The complete question is:
what is the gauge pressure at a depth of 6 cm in a glass filled with 4 cm of mercury and 4 cm of water? water has a density of 1000 kg/m3, and mercury has a density 13.6 times as great.
h₂ = P/ρ₂g = 85299.2 Pa/(1000 kg/m³ × 9.8 m/s²) = 85299.2 Pa/9800 kg/m ²s² = 8.7 m
How does mercury become made?About 4.5 trillion years ago, gravity brought together spinning gas and debris to create Mercury, the small planet closest to the Sun. Mercury has a solid crust, a steep slope, and a central core, just like its sibling terrestrial planets.
Calculation
The pressure due to the mercury of height h = 64 cm = 0.64 m is
P = ρ₁gh₁ where ρ₁ = density of mercury = 13600 kg/m³
P = 13600 kg/m³ × 9.8 m/s² × 0.64 m = 85299.2 Pa
Since this is the same pressure for the water,
P = ρ₂gh₂ where ρ₂ = density of water = 1000 kg/m³ and h₂ = height of
water
h₂ = P/ρ₂g = 85299.2 Pa/(1000 kg/m³ × 9.8 m/s²) = 85299.2 Pa/9800 kg/m ²s² = 8.7 m
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When will the gravitational force between you and the sun be greater today at noon or tomorrow at midnight?
You will be drawn toward the sun at midday, but the world will also be drawn in that direction. You will be lifted off your feet at midnight, but the moon also lifts you.
By gravitational force, what do you mean?The gravitational attraction causes any two grain particles to be drawn toward one another. It mentions the gravitational pull. The force will constantly be generated along the line joining the two loads in the direction towards the other mass, as indicated by the formula F=Gm1m2r2.
Where is there gravitational force?Anything with mass is subject to gravity. Higher mass objects are subject to stronger gravity. Gravity lessens as distance increases as well. Because of this, objects are more attracted to one another when they are closer to one another.
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This position-time graph describes an object's motion. Use it to predict the time
(in s) that the object will be at a position of 20.0 meters.
Help please!
Answer:
18.9 seconds
Explanation:
See the attached worksheet. Since the desired information is outside the range of the graph, develop the equation of the line that is drawn. From that equation [y = (9/10)x+3] the time required to travel 20 meters is foind to be 18.9 seconds.
Materials: Calculator
1. In the table below, you are given the height from which various objects fell and the time it took for those objects to fall on
Earth, the moon, and Mars. Use the data to calculate the acceleration due to gravitational force at each location.
Distance (m)
Time (s)
Acceleration due to gravity (m/s²)
Average g value for the location (m/s²)
Earth
2.25
0.680
3.08
0.793
Moon
Mars
4.04
4.57
4.68 3.55
2.20 2.26 1.58
1.38
2. What to submit:
a. Your completed table with calculations for acceleration due to gravitational force and the average value.
b. All work shown for your calculations.
(a.i) The value of the acceleration due to gravity on Earth are 9.73 m/s² and 9.8 m/s².
(b.i) The value of average acceleration due to gravity on Earth is 9.77 m/s².
(a.ii) The value of the acceleration due to gravity on Moon are 1.67 m/s² and 1.79 m/s².
(b.ii) The value of average acceleration due to gravity on Moon is 1.73 m/s².
(a.iii) The value of the acceleration due to gravity on Mars are 3.75 m/s² and 3.73 m/s².
(b.iii) The value of average acceleration due to gravity on Mars is 3.74 m/s².
What is the acceleration due to gravity of the objects?
The value of the acceleration due to gravity is calculated as follows;
h = vt + ¹/₂gt²
where;
v is the initial vertical velocity = 0t is the time of motiong is acceleration due to gravityh is the height of fallg = ( 2h ) / t²
The value of acceleration due to gravity for Earth is calculated as;
when; h = 2.25 m, and t = 0.68 s
g = ( 2 x 2.25 ) / ( 0.68² )
g = 9.73 m/s²
when; h = 3.08 m, and t = 0.793s
g = ( 2 x 3.08 ) / ( 0.793² )
g = 9.8 m/s²
Average acceleration due to gravity = ( 9.73 + 9.8 ) / 2 = 9.77 m/s²
The value of acceleration due to gravity for Moon is calculated as;
when; h = 4.04 m, and t = 2.2 s
g = ( 2 x 4.04 ) / ( 2.2² )
g = 1.67 m/s²
when; h = 4.57 m, and t = 2.26 s
g = ( 2 x 4.57 ) / ( 2.26² )
g = 1.79 m/s²
Average acceleration due to gravity = ( 1.67 + 1.79 ) / 2 = 1.73 m/s²
The value of acceleration due to gravity for Mars is calculated as;
when; h = 4.68 m, and t = 1.58 s
g = ( 2 x 4.68 ) / ( 1.58² )
g = 3.75 m/s²
when; h = 3.55 m, and t = 1.38 s
g = ( 2 x 3.55 ) / ( 1.38² )
g = 3.73 m/s²
Average acceleration due to gravity = ( 3.75 + 3.73 ) / 2 = 3.74 m/s²
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a potential divider circuit contains a light dependent resistor (ldr), a fixed resistor (r) and a fixed input voltage (vin). the amount of light falling on the ldr is gradually decreased. which statement correctly describes the changes in the resistance of the ldr and the potential difference across it (vout)?
Its resistance generated by the LDR rises as the light level drops.The voltage drop across the LDR also rises as a result of this resistance's growth relative to the other resistor's fixed resistance.
Why does LDR's resistance diminish with fall?The photo conductivity concept governs how a light-dependent resistor functions.Electrons become excited and escape the valance band to inhabit the conduction band when light, or photons, strike the material.Conduction band electrons raise conductivity and lower resistance.
What occurs to the LDR's resistance as the light intensity rises?The resistance of the LDR reduces as light intensity rises, which lowers the voltage differential across the LDR.
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a person in a car during a sudden stop can experience potentially serious chest injuries if the combined force exerted by the seat belt and shoulder strap exceeds 16,000 n. describe what it would take to avoid injury by estimating (a) the minimum stopping time interval and (b) the corresponding stopping distance, assuming an initial speed of 16 m/s. indicate any other assumptions you made.
minimum time interval to stop should be = 0.08 seconds whereas the friction minimum stopping distance = 0.64 m.
Which four forms of friction are there?
The force that prevents one solid item from moving across another is known as friction. Static friction, sliding friction, rolling friction, and fluid friction are the four main categories of friction.
What is frictional force, exactly?
Two surfaces that come into contact and glide against one another produce frictional force. The following variables impact the frictional force: Surface roughness and the amount of force pressing them together have the biggest an impact on these forces.
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9. Two objects A and B move toward each other with speeds of 80 cm/s and 20 cm/s, respectively. The
mass of A is 140 g and that of B is 60 g. After a head-on, perfectly elastic collision, the speed of
object B is
8.0 cm/s
20 cm/s
92 cm/s
a.
b.
C.
d. 1.2 m/s
m₁
Hom
m2
hinnt of mass m= 4.0 kg by a compressed
After a head-on, perfectly elastic collision, the speed of object B is 1.2 m/s.
What is law of conservation of momentum?
According to the law of conservation of momentum, absent an external force, the combined momentum of two or more bodies operating upon one another in an isolated system remains constant. As a result, momentum cannot be gained or lost.
After a head-on, perfectly elastic collision, the speed of object B is
= - 20 {(60-140)/(60+140)} + 80 {(2×140/(140+60)}
= 120 cm/s
= 1.2 m/s.
Hence, the speed of object B is 1.2 m/s. Hence, option (d) is correct.
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A 57g tennis ball is served at 45m/s .
If the ball started from rest, what impulse was applied to the ball by the racket?
Express your answer using two significant figures.
A 57g tennis ball is served at 45m/s If the ball started from rest, the impulse was applied to the ball by the racket is 2.565 Kgm/s.
What does the term impulse mean?A change in momentum is brought about by an impulse, which is a specific amount of force applied for a specific period of time. For this reason, it is F× t. For instance, when you hit a ball with a cricket bat, you exert force for a brief moment (in this case, a very short moment) to change (or transfer) the momentum of the ball.
Given information,
m = 57g = 0.057kg,
velocity = 45m/s
impulse = mass( change in velocity)
impulse = 0.057×(45-0)
impulse = 2.565 Kgm/s.
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the allowed energies of a quantum system are 0.0 eV, 1.5 eV, 3.0 eV and 6.0 eV. How many different wavelengths appear in the emission spectrum
The emission spectrum of this system will contain four different wavelengths, corresponding to each of the allowed energies.
What is wavelentgh?Wavelength is a measure of the distance between two consecutive wave crests or troughs and is usually defined as the length of one full cycle of a wave. Wavelengths are typically measured in meters, centimeters, or nanometers (10-9 meters). Wavelength is inversely related to frequency, meaning that higher frequency waves have shorter wavelengths.
The wavelength of each energy level can be calculated using the equation λ = hc/E, where h is Planck's constant, c is the speed of light, and E is the energy level in electron volts. Using this equation, the four wavelengths of the emission spectrum are calculated as follows: 0.0 eV = 0.0 m, 1.5 eV = 8.0 x 10^-7 m, 3.0 eV = 4.0 x 10^-7 m and 6.0 eV = 2.0 x 10^-7 m. Thus, the emission spectrum of this system will contain four different wavelengths, which can be identified by their corresponding energy levels.
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what is the orbital period of a spacecraft in a low orbit near the surface of mars? assume the radius of the satellite's orbit is about the same as the radius of mars itself, rmars
The orbital period of a spacecraft in a low orbit near the surface of mars is found to be 5.9 x 10³ secs
How does satellite orbit work?A satellite's orbit is the name for the route it takes. The capacity and purpose of the sensor(s) that a satellite is carrying are matched to its orbit. Selection of an orbit can vary depending on its altitude (height above the Earth's surface), orientation, and rotation with respect to the Earth.
The free-fall acceleration ( g ) = 3.8 m/s²
Radius of the satellite orbit = Radius of Mars ( rMars ) = 3.37 * 10⁶
R ( radius ) = 3.37 * 10⁶
g = ω2 x R
=>ω = Sqrt (R/g)
T = 2π/ω
=> 2π/ sqrt(R/g)
T = 5.9 * 10³ secs
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Spacecraft have been sent to Mars in recent years. Mars is smaller than Earth and has correspondingly weaker surface gravity. On Mars, the free-fall acceleration is only 3.8m/s2 .What is the orbital period of a spacecraft in a low orbit near the surface of Mars? Assume the radius of the satellite's orbit is about the same as the radius of Mars itself, rMars = 3.37
The wires in (Figure 1) all have the same resistance; the length and radius of each wire are noted.Rank in order, from largest to smallest, the resistivities rho1 to rho5 of these wires.
The resistivity of all the wires is same. So, the wires cannot be ranked it will be same.
Explain about resistance?
Resistance is a measure of a material's opposition to the flow of electric current. It is measured in ohms and is denoted by the symbol Ω. Resistance is caused by the collisions between the electrons flowing through a circuit and the atoms of the material they are passing through. The greater the resistance, the more energy is dissipated as heat and the slower the electrons move. Resistance also affects the voltage and current in a circuit. Higher resistance results in a lower voltage and current, while lower resistance results in a higher voltage and current.
The resistivity of a wire is determined by the material from which it is made, as well as the temperature of the material. It is not affected by the length or area of the wire. This means that regardless of the length or area of the wire, the same material will have the same resistivity. For example, a copper wire of any length or area will have the same resistivity as any other copper wire, regardless of its length or area.
Hence, the wires cannot be ranked from largest to smallest as it is in same order.
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10 differences between volume and density
Answer:
Hope this helps :)
Explanation:
Look at the attached image
A ball is thrown horizontally at 11.5 m/s from the top of a hill 45.2 m high. How far from the
base of the cliff does the ball hit the ground?
Vx = 11.5 m/s
h = 45.2 m
g = 9.8 m/s²
Vi.y = 0 m/s (Initial vertical velocity)
x - ?
Solution:
1. h = Vi.y • t + 1/2 • g • t²
Since Vi.y = 0, we will get: h = 1/2 • g • t²
t = sqrt(2h/g)
t = sqrt(2 • 45.2/9.8)
t = 9.22 sec
2. Vx = x/t
x = Vx • t
x = 11.5 • 9.22 = 106.03 meters
Help Needed
A crowbar is moved 0.555 m down by a force of 200.0 N, at a distance of 0.890 m from the pivot point. The short end of the crowbar is underneath a strong lacrosse and weightlifting athlete, Harry Croy. Harry is raised 0.111 m and has a weight of 800.0 N. How efficient is the moving of Harry?
The efficiency of the moving of Harry can be calculated by dividing the work done by the energy used. The work done is the force times the distance, or 200 N x 0.555 m = 111 Nm.
What is efficiency?Efficiency is the ability to achieve a desired result with the least amount of effort, time, and resources. It is a measure of how well an organization, process, or system uses resources to produce a desired result. Efficiency is important in many aspects of life and work, as it helps to maximize resources and minimize costs.
In business, efficiency is often measured by comparing the output of a process to the resources used to produce it. For example, a business may measure the efficiency of its production process by looking at the ratio of the number of products produced compared to the amount of labor, materials, and energy used. Efficiency is also closely related to productivity, which is the ability to produce more output with the same or fewer resources. In general, efficiency is important for organizations to remain competitive and profitable.
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A penguin slides horizontally oof an ice shelf and land 5.00 meters its base in 1.20 sounds
1. The initial velocity of the penguin is 4.17 m/s
2. The height of the ice shelf is 7.056 m
1. How do I determine the initial velocity?The initial velocity of the penguin can be obatined as illustrated below:
Horizontal distance (s) = 5.00 metersTime taken (t) = 1.20 secondsInitial velocity (u) = ?s = ut
5 = u × 1.2
Divide both sides by 1.2
u = 5 / 1.2
u = 4.17 m/s
Thus, we can conclude that the initial velocity is 4.17 m/s
2. How do I determine the height of the ice shelf?The height of the ice shelf can be obtained as follow:
Time taken (t) = 1.2 secondsAcceleration due to gravity (g) = 9.8 m/s²Height of ice shelf (h) = ?h = ½gt²
h = ½ × 9.8 × 1.2²
h = 4.9 × 1.44
h = 7.056 m
Thus, we can conclude that the height of the ice shelf is 7.056 m
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Complete question:
A penguin slides horizontally off an ice shelf and land 5.00 meters from its base in 1.20 sounds
1. What is the initial velocity of the penguin?
2. What is the height of the ice shelf?
Used to show the relative magnitude and direction of all forces acting upon an object in a given situation.
This is the description of a force vector diagram or force vector. This type of diagram is used in physics and engineering to represent the forces acting on an object and the direction in which they are acting.
They are commonly used in dynamics, mechanics, and physics to analyse the motion of objects and the forces that cause them to move.
A force vector diagram is a visual representation of the forces acting on an object in a given situation. It shows the direction and magnitude of each force and how they interact with one another.
These diagrams are commonly used in physics and engineering, particularly in the study of dynamics and mechanics. They help analysts understand the motion of an object and the forces causing that motion, making it easier to predict how the object will behave under different conditions.
Force vector diagrams are essential tools for understanding the physics behind the motion of objects and for designing structures and machines that can withstand various forces.
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The complete question is-
Which diagram is used to show the relative magnitude and direction of all forces acting upon an object in a given situation?
A boat is pulled into a dock by means of a rope attached to a pulley on the dock (see the accompanying figure). The rope is attached to the bow of the boat at a point ft below the pulley. How fast must the rope be pulled if we want the boat to approach the dock at a rate of ft/min at the instant when ft of rope is out
The rate of rope pull must be ft/min in order for the boat to approach the dock at a rate of ft/min when ft of rope is out.
In order for the boat to approach the dock at a rate of ft/min when ft of rope is out, the rope must be pulled at a rate of ft/min.
This is because the rope will be pulled out of the pulley at the same rate that the boat is approaching the dock.
what is pulley?
A pulley is a simple machine consisting of a wheel with a groove in it for a rope or cable to run over.
It is used to change the direction of a force or to change the magnitude of a force. Pulleys are used to lift heavy objects and to transmit power in machines.
To calculate the rate of rope pull, we can use the formula speed = distance/time.
Therefore, speed = ft/min.
Therefore, The rate of rope pull must be ft/min in order for the boat to approach the dock at a rate of ft/min when ft of rope is out.
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a race car makes two laps around the track in 150 seconds (2.5 minutes). what is the car's average angular speed? group of answer choices 0.084 rad/s. 0.248 rad/s. 0.200 rad/s. 0.168 rad/s.
To calculate the average angular speed, we need to divide the angle of rotation (2π radians) by the total time (2.5 minutes). This gives us an angular speed of 0.200 rad/s.
What is average angular speed?Average angular speed is the average rate of change in angular position over a period of time. It is measured in radians per second (rad/s) or revolutions per minute (rpm). For example, if a wheel completes two revolutions in one minute, its average angular speed is 2π rad/s or 2 rpm. It is important to note that average angular speed is not the same as instantaneous angular speed, which is the rate of change at a single point in time.
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To calculate the average angular speed, we need to divide the angle of rotation (2π radians) by the total time 150 seconds (2.5 minutes). This gives us an angular speed of 0.084 rad/s.
What is average angular speed?Average angular speed is the average rate of change in angular position over a period of time. It is measured in radians per second (rad/s) or revolutions per minute (rpm). For example, if a wheel completes two revolutions in one minute, its average angular speed is 2π rad/s or 2 rpm. It is important to note that average angular speed is not the same as instantaneous angular speed, which is the rate of change at a single point in time.
θ = 2 x 2π = 12.56
t = 150 sec.
ω = Θ/t
ω = 12.56 / 150
ω = 0.084 rad/s
Correct option is: 0.084 rad/s.
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