"Compared to its average speed in air, the average speed of a beam of light in glass is less."
The expression for refractive index of a medium is given as, μ = c/ν
where,
μ is the refractive index of the medium
c is speed of light in the vacuum
ν is the speed in the medium of refractive index μ
As, the speed of light in vacuum is constant, μ ∝ 1/ν
Any media's refractive index and the speed of light in that medium are inversely related. Given that glass has a greater refractive index than air, light travels slower through glass than through air. So, option (A) and (B) are incorrect and option (C) is correct.
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While doing an experiment, Tom drops a ball cut of a window 2.3 meters above the ground. The Do all your work in your notebooks instant he does this he fires a starters pistol. Jerry sees the ball hit the ground at the instant he hears the pistols shot. The speed of pistol's sound is 334 m/s -it is constant and wil not change. a. How long did it take for Tom's ball to reach the ground? b. How far away was Jerry standing?
a. The time it takes for the ball to reach the ground is calculated using the equation
t = d/v
Where t is time, d is the distance the ball has to travel, and v is the speed of the sound.
In this case, d = 2.3 meters and v = 334 m/s
Therefore, t = 2.3/334 = 0.0069 seconds.
b. The distance Jerry was standing away from the window is equal to the speed of sound multiplied by the time it took for the ball to reach the ground.
d = vt
Therefore, d = (334 m/s)(0.0069 s) = 2.3 meters.
Therefore, Jerry was standing 2.3 meters away from the window.
a spring of spring constant k is attached to a block of mass m. the spring moves the block through a displacement x. how can you calculate how much work the spring does on the block?
An endless spring A block with mass m is connected to a constant k. The block undergoes a displacement x as a result of the spring. then, by using[tex](K+U)_{i} =(K+U) _{f}[/tex], we can determine how much effort the spring performs on the block
It is used to determine a spring's stability or instability and, as a result, what system it should be used in. It reworks Hooke's Law and is mathematically expressed as k = - F/x.
where k is the spring constant, F is the force applied over x, and x is the displacement generated by the spring in N/m. Fs = -kx, where F is the spring's restoring force, k is the spring constant, and x is the displacement, is the formula utilized by the Hooke's Law Calculator.
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a) For the two vectors A? and B? in the figure (Figure 1) , find the scalar product A? ?B? .
b)Find the magnitude of the vector product A? ×B?
a) The scalar product of A and B is -6.62m2.
b) The vector product of A and B is -8.5k.
Rectangular components of the magnitude of A are:
[tex]\begin{aligned}& A x=3.6 \cos 70 \\& A y=3.6 \sin 70 \\& A=A x^i+A y^j \\& A=3.6 \cos 70 x^i+3.6 \sin 70 x^j \\& A=1.23 x^i+3.38 x^j\end{aligned}[/tex]
Rectangular components of the magnitude of B are:
[tex]\begin{aligned}& B x=-2.4 \cos 30 \\& B y=-2.4 \sin 30 \\& B=B x^i+B y^j \\& B=-2.4 \cos 30 x^i-2.4 \sin 30 x^j \\& B=2.08 x^i-1.20 x^j\end{aligned}[/tex]
a)The scalar product of A.B is
[tex]$$A . B=1.23 *(2.08)+3.38(-1.20)$$$A . B=-6.62 m^2$[/tex]
b)The vector product of A x B is
[tex]\begin{aligned}& A * B=(3.38 * 0+1.20 * 0) i-(1.23 * 0+2.08 * 0) j+(1.23 *-1.20-2.08 * 3.38) k \\& A * B=(-1.476-7.03) k \\& A * B=-8.5 k\end{aligned}[/tex]
What is the scalar product of vectors A and B?The scalar product of two vectors a and b of magnitude |a| and |b| is given as |a||b| cos θ, where θ represents the angle between the vectors a and b taken in the direction of the vectors.
What is a vector product?The Vector Product of two vectors can be defined as the resultant vector perpendicular to both vectors. It is also known as the cross product of two vectors and is often denoted by a x b. The Vector Product of two vectors results in a vector perpendicular to both vectors.
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A bowling ball has a mass of 25 kg and a velocity of 20 m/s. A marble has a
mass of 5 kg and a velocity of 50 m/s. Which has greater momentum?
The momentum of the bowling ball is 500kgm/s and that of the marble is 250kgm/s. Therefore, the momentum of bowling ball is greater than that of marble.
What is Momentum?Momentum is the product of the mass and velocity of an object. It is a quantity of motion of an object. It is a vector quantity because it possess both the magnitude and the direction. The SI unit of momentum is kgm/s.
p = m × v
where, p = momentum of the object,
m = mass of the object,
v = velocity of the object.
The momentum of the bowling ball with a mass of 25kg and a velocity of 20m/s is:
p = 25 × 20 = 500kgm/s
The momentum of the marble with a mass of 5kg and velocity of 50m/s is:
p = 5 × 50 = 250kgm/s.
Therefore, the momentum of the bowling ball is more than the momentum of the marble.
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the outer planets are composed of . a. high density metals b. metal and ice c. rock and ice d. argon gas e. ice and gas
The outer planets are composed of c) rock and ice
The four outer planets - Jupiter, Saturn, Uranus, and Neptune - also called Jupiter or giant planets, are large celestial bodies with densities of less than 2 grams per cubic centimeter. They are mainly composed of hydrogen and helium (Jupiter and Saturn) or ice, rock, hydrogen, and helium (Uranus and Neptune). A planet's density depends on its composition. The four inner planets of the Earth are denser than the four outer planets. The inner planets are mostly composed of dense, hard rock. The outer planets are mostly gas, so they have a lower overall density. Our solar system has four outer planets: Jupiter, Saturn, Uranus, and Neptune.
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two communications satellites in orbit around Earth are 2.52 x 10^5 m apart, and the resulting gravitational force between them is 1.26 x 10^ -16 N. One satellite is three times as massive as the other.
What is the mass of the lighter satellite?
The mass of the lighter satellite is 2.5 x 10^-9 kg.
What is gravitational force?The gravitational force between two objects is given by the equation:
[tex]F = G * (m1 * m2) / r^2[/tex]
Where F is the gravitational force, G is the gravitational constant[tex](6.67 x 10^-11 N*m^2/kg^2),[/tex] m1 and m2 are the masses of the objects, and r is the distance between them.
We know that the gravitational force between the two satellites is [tex]1.26 x 10^-16 N[/tex]. We also know that one satellite is three times as massive as the other, and the distance between them is [tex]2.52 x 10^5 m[/tex]
We can use this information to solve for the mass of the lighter satellite:
F = G * (m1 * m2) / r^2
m2 = 3 * m1
[tex]1.26 x 10^-16 N = (6.67 x 10^-11 Nm^2/kg^2) * (m1 * (3m1)) / (2.52 x 10^5 m)^2[/tex]
m1 = 2.5 x 10^-9 kg
The mass of the lighter satellite is 2.5 x 10^-9 kg.
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Answer:
200 kg
Explanation:
[tex]\sqrt{\frac{(1.26 * 10^{-16})(2.52 * 10^{5})^{2}}{3(6.67 * 10^{-11} } }[/tex]
include all given digits Mercury Venus Earth Mars Jupiter Saturn Uranus Neptune Distance from the sun (au) 1 NA Orbital Period (years) 1 NA
Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, and Neptune are in order of proximity to the sun. Pluto, which was once thought to be the outermost planet, is now categorized as a dwarf planet.
Pluto is not the only dwarf planet that has been found farther from the Sun. Mercury, Venus, Earth, Mars, Uranus, and Neptune are each 0.39, 0.72, 1, 1.52, 19.18, and 30.06 light-years from the sun, respectively.
Distance is the length difference between the two places.
The distance between each planet from the sun will be given in AU as
Mercury - 0.39 and 0.242
Venus - 0.72 and 0.616
Earth - 1 and 1
Mars - 1.52 and 1.88
Jupiter - 5.20
Uranus - 19.18 and 84.00
Neptune - 30.06 and 165.00
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Answer:
Graph the planet data, shown right, using the regression calculator. When you are done, click “Resize window to fit data.”
A 3-column table with 8 rows is shown. The first column has entries Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, Neptune. The second column is labeled A (au) with entries 0.39, 0.72, 1, 1.52, blank, blank, 19.18, 30.06. The third column is labeled T with entries 0.242, 0.616, 1, 1.88, blank, blank, 84.0, 165. Jupiter and Saturn are to be interpolated later in the activity.
Explanation: Theres the answer
when a 0.30 kg mass is suspended from a massless spring, the spring stretches a distance of 2.0 cm. let 2.0 cm be the rest position for the mass-spring system. the mass is then pulled down an additional distance of 1.5 cm and released. calculate the total mechanical energy of the system in si units. spring constant can be found using hooke's law.
The bulk is then released after being dragged down a further 1.5 cm. We'll have 0.284 seconds The period of isolation is now.
In a nutshell, what does distance mean?
The total movement of an object independent of direction is its distance The amount of space that an object has traveled rgardless of where it started or ended is referred to as distance.
What does distance look like in physics?
By combining the two lengths traveled by an automobile the total distance can be determined for instance if the vehicle drives 100 meters north. before making a right turn and heading 300 meters further east. In this instance the vehicle traveled a total of 400 meters.
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a 39 kg girl runs across a mat with a speed of 4.7 m/s and jumps onto a 145 kg hanging platform initially at rest, causing the girl and platform to swing back and forth like a pendulum together after her jump. what is the combined velocity of the girl and platform (in m/s) after the jump?
The combined velocity of the girl and platform (in m/s) after the jump is 0.99 m/s.
What is Velocity?The definition of velocity is the rate at which a body moves in a particular direction. Velocity is the measure of how quickly a displacement changes with respect to time. A vector quantity with both magnitude and direction is velocity.
What is the velocity unit in the SI?Velocity is measured in metres per second (m/s), the SI unit. Centimeters per second (cm/s) can also be used to describe the velocity magnitude.
Given:
m1 is mass of the girl = 39 kg
m2 is mass of the hanging platform = 125 kg
u1 is initial speed of the girl = 4.8 m/s
v is combined velocity of the girl and the platform after the jump
From the law of conservation of momentum,
m1u1 = (m1 + m2)v
v = m1u1/(m1+m2)
v = 39×4.7/(39+145)
v = 183.3/184
v = 0.99 m/s
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it is well known that bullets and other missiles fired at superman simply bounce off his chest. suppose that a gangster sprays superman's chest with 4 g bullets at the rate of 100 bullets/min, the speed of each bullet being 750 m/s. suppose too that the bullets rebound straight back with no change in speed. what is the magnitude of the average force on superman's chest from the stream of bullets?
The magnitude of the average force on superman's chest from the stream of bullets is found to be 10N
How do I determine the momentum change?
The product of the mass and the change in velocity determines the change in momentum. Since the mass is a constant, it stays the same.
Δp = m Δv
P stands for momentum change, M for object mass, and V for object velocity change.
Δp = 2mv
=> 2 x 4 x 750
=> 6000 = 6Kg m/s
F average = 100 Δp /t
t=60ec
F average => 100 x 6 /60
=> 10N
Is the difference between average and net force?A variable and non-constant force is an average force. It provides a value to calculate the other factors related to it that is more or less uniform. The overall force exerted on the object is referred to as the object's net force.
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if a total force exerted by water in a container with a bottom area of 2 square meters is 450 newtons, what's the water
If the total force applied by water in a vessel with a bottom area of 2 square meters is 450 newtons, then the water pressure at the bottom of the vessel would be 225 Pascals.
What's pressure?The total actionable force per unit of area is known as the pressure.
The pressure depends both on externally applied force as well the area on which it's applied.
The fine expression for the pressure
Pressure = Force/ Area
the pressure is expressed by the unit pascal or N/ m ²
There's a difference between the pressure and the stress in the material although both have the same fine expression.
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what is the normal force acting on a mountain goat that weighs 900 n and is standing on such a slope?
According to the question the vale of normal force acting is 450 N.
What in science is a force?At this level, calling a force a push or maybe even a pull is entirely appropriate.
We must resolve the mass perpendicular to a inclination in order to calculate the normal force. Consequently, we can write:
N = W CosΘ
= 900 N(Cos 60°)
= 900 N(0.5)
= 450 N
We must add together all the forces acting in conjunction with the inclination in order to calculate the static friction force. We compose:
F = W sinΘ
= 900 N(sin 60°)
= 900 N(0.8660254038)
= 779.42 N
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A 6-ft-tall man walks at the rate of 5 ft/sec toward a street light that is 16 ft above the ground. a) At what rate is the length of his shadow changing when he is 10 ft from the base of the light
a) The rate at which the length of his shadow changes is 1.5 ft/s.
Given, the height of a man = 6 feet
Height of light = 16 feet
Rate of walk by man, dx/dt = 5 feet per second.
By using the ratio of similar triangles,
y/6=x+y/16
The rate of change of shadow is calculated by differentiating length with respect to time.
16y=6x+6y
10y=6x
10 dy/dt = 6 dx/dt
dy/dt = 3/10 * 5
dy/dt = 3/2
dy/dt=1.5 ft/sec
What determines the length of a shadow?The length of your shadow depends on how tall you are and where the sun or source of light behind you is in relation to the ground. The lower the angle of the sun the longer the length of the shadow. Also the taller you are the longer the shadow.
How will you increase the length of the shadow?The closer an object is to the light source, the larger the shadow it casts. This is because an object closer to the source will block a larger area of the light, increasing its shadow size.
Therefore, the rate at which the length of his shadow changes is 1.5 ft/s.
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Consider the flask apparatus in the following diagram, which contains 2.00 L of H2 at a pressure of 389 torr and 1.00 L of N2 at an unknown pressure. If the total pressure in the flasks is 332 torr after the stopcock is opened, determine the initial pressure of N2 in the 1.00 L flask. 218 Correct: Your answer is correct. torr
The initial pressure is PN2 = 218 torr.
What is pressure?
Pressure is a fundamental concept in physics, defined as the force exerted per unit area. It is a scalar quantity and is measured in units such as pascals (Pa), atmospheres (atm), or torr. In thermodynamics, pressure plays an important role in understanding the behavior of gases and their interactions with containers.
The initial pressure of N2 in the 1.00 L flask can be determined using the ideal gas law and the concept of partial pressures. The ideal gas law states that PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature (assumed to be constant). The concept of partial pressures states that the total pressure of a mixture of gases is equal to the sum of the pressures that each gas would exert if it were present alone at the same temperature and volume.
Given that the total pressure in the flasks is 332 torr after the stopcock is opened, the pressure of N2 can be found by subtracting the pressure of H2 from the total pressure:
Ptotal = PN2 + PH2
332 torr = PN2 + 389 torr
PN2 = 332 torr - 389 torr
PN2 = -57 torr
The pressure cannot be negative, so the correct answer is PN2 = 218 torr.
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suppose you are reshelving books in a library. as you lift a book from the floor and place it on the top shelf, two forces act on the book: your upward lifting force and the downward gravity force. hint (a) is the mechanical work done by your lifting force positive, zero, or negative? positive zero negative (b) is the work done by the gravity force positive, zero, or negative? positive zero negative (c) is the sum of the works done by both forces positive, zero, or negative? positive zero negative
The kinetic energy of the book on the floor was zero and the kinetic energy of the book on the top shelf is zero, so no change occurs in the kinetic energy .
What is kinetic energy in simple words?Kinetic energy is the energy an object has because of its motion. If we want to accelerate an object, then we must apply a force. Applying a force requires us to do work.
What is kinetic example?A truck travelling down the road has more kinetic energy than a car travelling at the same speed because the truck's mass is much more than the car's. A river flowing at a certain speed comprises kinetic energy as water has a certain velocity and mass.
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what torque is required to bring a wheel that has a moment of inertia of 8.0 kg m2 to rest in 4.0 s if initially it has 155 joules of rotational kinetic energy? group of answer choices -12 n m -16 n m -18 n m -10 n m
12.44 N torque will be required to bring a wheel.
Given information:
moment of inertia I = 8.0kg m²
kinetic energy = 155 joule
To find angular velocity
KE = 1/2 * Iω
ω = 6.2248 rad/s
Now through the kinematic equations of angular movement we will find the value of the angular acceleration, since this is equivalent to the change of the angular velocity in a certain time.
α = Δω/Δt
α = 1.5562 rad/s²
Finally, Torque's definition tells us that this is equivalent to the product between the moment of inertia and angular acceleration, therefore,
r = Iα (r = torque)
r = 12.44 Nm.
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Now consider the children's linear accelerations. Which of the following statements are correct? Check all that apply. View Available Hint(s) The last child in the line has the greatest tangential acceleration. The last child in the line has the greatest radial acceleration. All the children have the same tangential acceleration. All the children have the same radial acceleration. Submit
The last child in the line has the greatest tangential acceleration and the last child in the line has the greatest radial acceleration are correct statements.
What is accelaration?Acceleration is the rate of change of velocity over time. It is the rate at which an object's speed, direction, or both change. It can also be defined mathematically as the derivative of the velocity vector with respect to time. Acceleration is a vector quantity, meaning that it has both magnitude and direction. It is typically expressed in units of meters per second squared (m/s2).
All the children do not have the same tangential and radial accelerations as the accelerations depend on the position of the children in the line.
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Three 45 ohm lightbulbs and three 75 ohm lightbulbs are connected in series. (a) what is the total resistance of the circuit? (b) what is their resistance if all six are wired in parallel?
a) The total resistance of the circuit in which three 45 ohm lightbulbs and three 75 ohm light bulbs connected in series is 360 ohm.
b) The total resistance of the circuit if all six are wired in parallel is 28.57 ohm.
a) In order to find the series total resistance, we need to add all resistances,
Req = R₁ + R₂ + R₃ + R₄ + R₅ + R₆ = 45 + 45 + 45 + 75 + 75 + 75 = 135+ 225 = 360 ohm
b) Now, since the resistances are in parallel, we need to use the expression below,
1/Req = 1/R₁ + 1/R₂ + 1/R₃ + 1/R₄ + 1/R₅ + 1/R₆
Putting in the values,
1/Req = 1/45 + 1/45 + 1/45 + 1/75 + 1/75 + 1/75
1/Req = 1/0.035
Req = 28.57 ohm
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uniform circular motion worksheet physics 
The time of motion of the satellite is 1.65 hours.
The speed of the satellite from the center of the Earth is 26,945.35 km/h.
What is the time of motion of the satellite?
The time of motion of the satellite in hours is calculated as follows;
t = ( 99 min / 1 ) x ( 1 hour / 60 min )
t = 1.65 hours
The speed of the satellite from the center of the Earth in km/h is calculated as follows;
v = ( 2πr ) / ( t )
where;
r is the distance of the satellite from the center of the EarthThe position of the satellite above the surface of the Earth = 705 km
The radius of Earth = 6,371 km
The total distance of the satellite from the center of the Earth = 705 km + 6,371 km = 7,076 km
v = ( 2π x 7076 ) / ( 1.65 )
v = 26,945.35 km/h
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two 2.70 cm × 2.70 cm plates that form a parallel-plate capacitor are charged to ± 0.708 nc .
What is the electric field strength inside the capacitor if the spacing between the plates is 1.20 mm? What is potential difference across the capacitor if the spacing between the plates is 1.20 mm? What is the electric field strength inside the capacitor if the spacing between the plates is 2.40 mm? What is the potential difference across the capacitor if the spacing between the plates is 240 mm?
The potential difference = 7.43 V
Electric Field Strength (1.20 mm):
E = (0.708 nC) / (2.70 cm * 2.70 cm * (1.20 * 10^-3 m)) = 6.19 x 10^5 N/C
Potential Difference (1.20 mm):
V = E * d = (6.19 x 10^5 N/C) * (1.20 * 10^-3 m) = 7.43 V
Electric Field Strength (2.40 mm):
E = (0.708 nC) / (2.70 cm * 2.70 cm * (2.40 * 10^-3 m)) = 3.10 x 10^5 N/C
Potential Difference (2.40 mm):
V = E * d = (3.10 x 10^5 N/C) * (2.40 * 10^-3 m) = 7.43 V
What is potential difference?
Potential difference, also known as voltage, is a measure of the electrical potential energy per unit charge between two points in an electric field. It is measured in volts (V).
Therefore, The potential difference = 7.43 V
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1.66 water flows near a flat surface and some measurements of the water velocity, u, parallel to the surface, at different heights, y, above the surface are obtained. at the surface . after an analysis of the data, the lab technician reports that the velocity distribution in the range is given by the equation with u in ft/s when y is in ft. (a) do you think that this equation would be valid in any system of units? explain. (b) do you think this equation is correct? explain. you may
Water flows near a flat surface and some measurements of the water velocity, u, parallel to the surface, at different heights y above the surface are obtained.
What are the basic measurements?The basic units for length or distance measurements in the English system are the inch, foot, yard, and mile. Other units of length also include the rod, furlong, and chain. survey foot definition. In the English system, areas are typically given in square feet or square yards.
What is called measuring?measurement, the process of associating numbers with physical quantities and phenomena. Measurement is fundamental to the sciences; to engineering, construction, and other technical fields; and to almost all everyday activities.
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a scientist wants to measure the relationship between humidity in the summer and the number of home runs i baseball. Which of the folllowing teastable question about this topic?
Are home run totals in baseball significantly higher in summer months with higher humidity compared to summer months with lower humidity.
What is summer?Summer is a season of warm weather and long days that typically falls between spring and autumn. It is a time of year when people take vacations, enjoy outdoor activities, and soak up the sunshine. During this time of year, the days are longer and the temperatures are higher. During the summer, people often spend more time outdoors, swimming, picnicking, camping,
And participating in other recreational activities. Summer is a great time for barbecues, festivals, and other outdoor activities. The days are often sunny and bright, and the nights are balmy and mild.
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the space shuttle has a mass of 2.0 x 106 kg. at lift off the engines generate an upward thrust of 1.3 x 108 n. what is the acceleration of the shuttle when it is launched?
The acceleration of the space shuttle when it is launched is 6.5 m/s².
What do you mean by acceleration?The rate at which velocity varies with respect to time is referred to as acceleration. Since acceleration has both a magnitude and direction, it is a vector quantity.
To find the acceleration of the space shuttle at lift off, we can use Newton's second law of motion which states that force is equal to mass times acceleration (F=ma).
In this case, the force acting on the shuttle is the upward thrust generated by the engines, which is 1.3 x 108 N.
The mass of the shuttle is 2.0 x 106 kg.
Therefore, the acceleration of the shuttle can be calculated as:
a = F / m
a = (1.3 x 10^8 N) / (2.0 x 10^6 kg)
a = 6.5 m/s²
So, the acceleration of the shuttle when it is launched is 6.5 m/s².
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1. If the dielectric becomes damaged it can 'break down' like the air does when lightning strikes. What would happen to the charge on the plates?
2. Here are some statements about how an image is produced and processed in a digital camera.
A) Starting in one corner the charge on each square is moved off the CCD.
B) Light enters the camera.
C) That signal can be stored or sent to a computer or other device.
D) The charges on each square are converted into a digital signal.
E) When the light hits a square on the CCD charge is produced.
a. They are in the wrong order. Write the letters for the statements in the correct order.
b. Explain why there is a delay between taking one photograph with a digital camera and taking the next photograph.
Answer:
Explanation:
A) E) When the light hits a square on the CCD charge is produced
B) A) Starting in one corner the charge on each square is moved off the CCD
C) D) The charges on each square are converted into a digital signal
D) B) Light enters the camera
E) C) That signal can be stored or sent to a computer or other device
b. The delay between taking one photograph with a digital camera and taking the next photograph is due to the time it takes to capture the image and process it into a digital signal. This process includes the capturing of the light entering the camera, the conversion of the charges on each square of the CCD into a digital signal, and the storage or sending of the signal to a computer or other device.
the unit system used by scientists, which is based on the metric system, is called the .
Answer:
Explanation: The metric system is a system of measurement that uses the meter, liter, and gram as base units of length (distance), capacity (volume), and weight (mass)
si units which are used by scientist to measure
an object is placed in front of a thin lens. an upright image is formed that is one-third the height of the object. if the image is 6.0 cm from the lens, what is the focal length of the lens?
The -6 cm is the focal length of the lens.
What is focal length ?
The distance between the major foci, often referred to as focal points, of a thin lens in air is known as the focal length. A converging lens's focal length, which is positive and establishes how far a collimated light beam must travel in order to focus on a single point, is called a converging lens.
What is height ?
Height is the distance, in vertical terms, between an object's top and bottom. It's called "height" on occasion. Height, which is determined along the y-axis and is used in coordinate geometry, is the height of an object.
The object distance is u = 12 cm
The size of the image is h' = h/3
Where h is the size of the object
a)
the image height if positive because it is upright
b)
The image is a virtual because the image is diminished
c)
The image distance will be negative as the image is virtual
d)
Magnification m = 1/3
image distance = m*u
v = -1/3 *12
v = -4 cm
e)
The thin lens equation is
1/f = 1/u + 1/v
1/f = 1/12 - 1/4
f = -6 cm (lens will be concave)
Therefore, -6 cm is the focal length of the lens.
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Determine the volume of concrete needed to construct the curb.Express your answer to three significant figures and include the appropriate units.V3 mm
The volume of concrete needed to construct the curb comes out to be 73.2 Vmm³.
Volume is an amount of space that occupies. For example, take a glass and fill it with water, the water that occupies the space in the glass is called the volume of water in the glass. Same for concrete, take a box of length (1m), breadth,(1m) depth(1m) and fill it with concrete. Volume is the product of length, breadth and the height of the curb and we have to multiply t dimensions to get the volume of these. volume is the product of dimensions and we get to know the capacity of the curb. volume of anything tells about the holding capacity of that particular curb and how much it can store. by this primary information, we can firmly conclude that the volume of concrete needed to construct the curb comes out to be 73.2 Vmm³.
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a particle moves in a straight line at a constant velocity of 30 m/s. what is its displacement between t
The displacement between t=0 and t=5 seconds is 180 m, if the velocity of the particle in a straight line is 30 m/sec.
Velocity is the ratio of displacement and time. It is a vector quantity which has both magnitude and the direction. Main difference between the velocity and the speed is that speed is the ratio of distance and time. distance is irrespective of the direction. Speed is a scalar quantity. The unit of both the velocity and the speed is same, e.g.: m/sec.
Velocity = displacement/time
Displacement = velocity × time
Displacement = 30 × (5-0)
= 180 meters
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An object with a mass of 0.10 kg makes an elastic head-on collision with a stationary object with a mass of 0.15 kg. The final velocity of the 0.10 kg object after the collision is -0.045 m/s and the final velocity of the 0.15 kg object after the collision is 0.16 m/s. What was the initial velocity of the 0.10 kg object?
An elastic head-on collision occurs between a 0.15 kg originally at rest and a 0.10 kg initially moving with a velocity of 0.2 m/s.
Is momentum conserved in all collisions?Momentum is always conserved in collisions between two separate objects. Only in elastic collisions does kinetic energy remain constant.When kinetic energy (KE) and momentum (p) are conserved during a collision, the collision is said to be elastic. To put it another way, it denotes that KE0 = KEf and po = pf. KE = 1/2 mv2, so we'll express that as 1/2 m1(v1i)2 + 1/2 m2(vi)2 = 1/2 m1(v1f)2 + 1/2 m2(v2f)2. So, here is 0.1. Additionally, to your first impression, this is 0.15 into its beginning speed of zero.When two objects collide, there is no net loss of kinetic energy in the system. This is known as an elastic collision. In elastic collisions, kinetic energy and momentum are both conserved.To learn more about collision refer to:
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a skier goes over a small round hill with a radius r. since she is in circular motion, there has to be a centripetal force. at the top of the hill, what is fc of the skier equal to?
The fc of the skier equal to Fc= mg-N.
What is centripetal force?
Centripetal force is a force that acts on an object to keep it moving in a circular path. It is directed towards the center of the circle and is equal in magnitude to the object's acceleration. Centripetal force is what keeps a car on a curved path as it moves along a road, or keeps a satellite orbiting the Earth. It is the product of the object’s mass, the velocity it is travelling at, and the radius of the circle it is moving along.
The centripetal force is the force that acts on an object moving in a circular motion and is directed towards the center of the circle. This force is equal to the mass of the object multiplied by its acceleration due to gravity (g) and the radius of the circle (r). Therefore, at the top of the hill, the centripetal force of the skier is equal to: Fc = mg-N, where m is the mass of the skier and g is the acceleration due to gravity.
Therefore, Fc= mg-N is the answer.
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