If you are told an image has been made by a single optic that has a positive focal length, The options that are true are:
The image is real. (Option A)
The image is virtual. (Option B)
The image has a positive image distance. (Option C)
The image has a negative image distance. (Option D)
The image is inverted. (Option E)
The image is upright.(Option F)
The image was made with a converging optic. (Option G)
The image was made with a diverging optic. (Option H)
If the optic is a lens, it is convex. (Option I)
If the optic is a mirror, it is convex. (Option K)
What is Focal Lenght?The focal length of an optical system is the inverse of the system's optical power; it measures how strongly the system converges or diverges light.
A system with a positive focus length converges light, whereas a system with a negative focal length diverges light.
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Full Question:
If you are told an image has been made by a single optic that has a positive focal length, which is true?
a. The image is real.
b. The image is virtual.
c. The image has a positive image distance.
d. The image has a negative image distance.
e. The image is inverted.
f. The image is upright.
g. The image was made with a converging optic.
h. The image was made with a diverging optic.
i. If the optic is a lens, it is convex.
j. If the optic is a lens, it is concave.
k. If the optic is a mirror, it is convex.
l. If the optic is a mirror, it is concave.
Consider a wooden cylinder of density 0.75g/cm³ floating in water with its axis perpendicular to the surface and the height is 15cm. How much of the cylinder will be under water?. If the radius were 10cm, how much would be under water? Suppose the cylinder is completely submerged and anchor in the water by a string, for the cylinder nof 10cm radius, what will be the force on the string?. Where g=9.8m/s, density of water=1g/cm³.
6923 N is the force on the string, Where g=9.8m/s, density of water=1g/cm³.
volume=2πrh
volume= 942 cm³
density= mass/volume
mass=density× volume
mass=0.75g/cm³× 942 cm³
mass=706 kg
F= mg
F=706×9.8
F= 6923 N
Every action that attempts to maintain, modify, or change the motion of a body is referred to as a force in mechanics. In his Principia Mathematica, Isaac Newton frequently used his three laws of motion to demonstrate the concept of force (1687).
According to Newton's first law, a body will remain in either its resting or equally moving condition along a straight route in the absence of an external force. The second law states that when an external force acts on a body, the body accelerates (changing velocity) in the direction of the force.
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what form of energy can you produce by rubbing an eraser against a piece of paper?
Answer:
it gets hot
Explanation:
because you are rubbing it hard
A rocket initially at rest on the ground lifts off vertically with a constant acceleration of 2.0 x 10¹
meters per second². After 30 seconds of flight, how high has it reached?
It take 3.03 sec long to the rocket to reach an altitude of 9.0* 10^3.
What is altitude?
Altitude is the height of an object or point in relation to sea level or ground level.It is the apparent height of celestial object above the horizon, measured in angular distance.
Sol-A sign simply indicates multiplication operation.
As per the question we have given- a=accelaration =-2*101=-202m/s^2
(We use negative sign here because it opposes the gravitational force)
d= distance/altitude =9*103= 927 meters
V= initial velocity= 0 m/s
T = Time substituting,927=3.03 second.
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An astronauts suit is heated through which method?
A. Conduction
B. Convection
C. Radiation
Radiation is correct answer.
What is radiation?
Radiation is energy that moves through space at the speed of light from a source. This energy is coupled with an electric and magnetic field, and it has wave-like qualities. Radiation is sometimes known as "electromagnetic waves."
UV rays, which can be fatal, are readily avoided by covering oneself. The visors are coated to reflect UV, while the suit's opaque layers take care of the rest. On the other end of the spectrum, x rays and gamma rays are difficult to shield—here is where lead comes in, but there isn't enough of this type of radiation to justify the added weight. A radiologist's lead apron can weigh 10-15 kg, so filling the entire suit with this thickness of lead would add at least 25-40 kg to an already large and heavy suit. The material of the suit absorbs some of the radiation, although this is not the greatest danger to astronauts.
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A moving object is moving with a speed of 20m/s on the line y=√3x +1. How many meters does it move in the x direction in 3 seconds?
how can i solve it?
2077 m distance it move in the x direction in 3 seconds
speed=distance/time
distance=speed × time
distance= 20×3
√3x +1=60
x=119
put x's value in equation
distance= 2077 m
Distance, which is independent of direction, is the length between two points or things. Distance solely considers the overall magnitude and disregards the start and finish places because it is a scalar attribute. Distance can only have a positive or zero value because it is a scalar attribute; it cannot be negative.
The meter (m) is the most widely used unit of measurement for distance, however kilometers (km) can also be used to describe longer distances and centimeters (cm) or millimeters can be used to express shorter distances (mm). The distance traveled is frequently represented by the letter D when computing distance.
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What is the critical angle for light traveling from ice (n=1.309) into air?
a. 39.8⁰
c. 59.8⁰
b. 49.8⁰
d.
69.8°
Answer:
b. 49.8
Explanation:
θc = sin^-1(1/1.309) = 49.81
Use the equation GPE = mx 9.8 m/sxh to calculate the gravitational potential of a 10-kg
sack of groceries on a shelf 1 m above the floor?
A 10-kg bag of goods on a shelf one meter above the ground has a gravitational potential of GPE= (10 kg)(9.8 m/s2) (1 m) GPE= 98 J
How to compute gravitational potential energyThe formula for gravitational force is P.E. = mgh, where m represents the mass in kilograms, ga is the acceleration caused by gravity (9.8 m/s2 at the earth's surface), and h is the height in meters. Keep in mind that the gravitational potential energy is measured in the same units as kinetic energy, namely kg m2/s2.
What exactly is gravitational potential?The amount of labor required to dispense a body of unit mass form infinity to a certain point in a body's gravitational field is known as the gravitational potential. It is designated with the letter V.
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what objects have no energy
Answer:
If a particle has no mass (m = 0) and is at rest (p = 0) it has no energy
An unknown radioactive element decays into non-radioactive substances. It's 520the radioactivity of a sample decreases by 60 percent.
a) What is the half-life of the element?
b) How long will it take a 100 mg sample to break down to 92 mg?
The half life of the sample is 393.4 days while it would take 47.3 days for 100 mg sample to break down to 92 mg.
What is the half-life of the element?We know that the half life has to do with the time that it takes for only half of the number of the radioactive atoms in the sample to remain. We have in this case that;
N/No = (1/2)t/[tex]t_{\frac{1}{2} }[/tex]
No = Number of radioactive atoms originally present
N = Number of atoms at time t
t = time taken
[tex]t_{\frac{1}{2} }[/tex] = half life
Then we are told that the sample decreases by 60 percent thus 40 percent is left.
We have;
0.4No/No = (1/2)^520/[tex]t_{\frac{1}{2} }[/tex]
0.4 = (1/2)^520/[tex]t_{\frac{1}{2} }[/tex]
ln0.4 = 520/[tex]t_{\frac{1}{2} }[/tex] ln 0.5
520/[tex]t_{\frac{1}{2} }[/tex] = ln0.4 /ln 0.5
[tex]t_{\frac{1}{2} }[/tex] =520/ ln0.4 /ln 0.5
= 393.4 days
Then
Using;
92/100 = (1/2)^t/ 393.4
0.92 = (1/2)^t/ 393.4
ln 0.92 = t/ 393.4 ln 0.5
t = ln 0.92/ ln 0.5 * 393.4
t = 47 days
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Calculate the radius of
a Circular orbit for which
the period is 1 day
The radius of the circular orbit is equal to V/2π where V is the velocity of the orbiting object.
What is an orbital period?The orbital period can be described as the amount of time a given astronomical body occurs to complete one orbit around another object. It applies to planets orbiting the Sun, moons orbiting planets, etc.
In general, the sidereal period is referred to by the orbital period, calculated by a 360° revolution of one body around its primary.
Given, the orbital period = 1 day
The total distance covered will be equal to the circumference of the circular orbit.
Distance = 2πr where r is the radius of the orbit.
We know that distance = Velocity ×time
2πr = V × 1
r = V/2π
Where V is the velocity of the orbiting object.
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The number density of gas atoms at a certain location in the space above our planet is about 1.18 x 10^11 m^-3, and the pressure is 2.50 x 10^-10 N/m² in this space. What is the
temperature there in degrees celsius?
There is a temperature of 153.56K in that area.
In plain English, what is the Boltzmann constant?The Boltzmann constant, often known as Boltzmann's constant and denoted by the letters k or k B, establishes the relationship between absolute temperature and the amount of kinetic energy held within each molecule of an ideal gas.
A gas's temperature is what?A gas's temperature is a representation of its molecules' typical average translational kinetic energy. The molecules in a hot gas move more quickly than those in a cold gas; the mass remains constant, but the kinetic energy—and consequently the temperature—is higher due to the higher velocity of the molecules.
PV=nKT
where,
K=1.380649 × 10-23 m2 kg s-2 K-1
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The toy car in Figure 20 runs off the edge of a table that is 1.225m high. The car lands 0.4000m from the base of the table. Show all work.
How long did it take the car to fall?
The time taken for the toy car to fall from the given height is 0.5 second.
What is the time of motion of the toy car?
The time of motion of the toy car is calculated by applying the following equation as shown below.
h = vt + ¹/₂gt²
where;
h is the vertical height of fall of the toy carv is the initial vertical velocity of the toy cart is the time of motion of the toy carg is acceleration due to gravity = 9.8 m/s²The initial vertical velocity of the toy car = 0
h = 0 + ¹/₂gt²
h = ¹/₂gt²
2h = gt²
t² = 2h/g
t = √(2h/g)
t = √(2 x 1.225 / 9.8)
t = 0.5 second
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Please help, it's a question on Elasticity!
A wire can support a load W without breaking. It is cut in to two equal parts. The maximum load that each part can support is
(1) W/4
(2)W/2
(3) W
(4) 2W
(5) 4W
A wire is capable of carrying a load W without snapping. It is divided in half, equally. Each component's maximum load capacity is W.
The maximum load supported by the cable is directly proportional to the breaking stress.
Since,
Breaking stress=F/A
where F is the force and A is the cross-sectional area
As we see that the breaking stress is independent of the length of the cable. So, if the cable is cut in two equal parts, the maximum load that can be supported by either part of the cable remains the same as before.
So, the answer would be W.
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A turtle with a mass of 28.59 kg starts from rest and is pushed to the right on an ice rink upside down on its shell (he loves it I promise). He reaches the opposite end and ends up travelling at 5.18 m/s which takes 37.80 s. What would be the net force acting on the turtle?
The net force acting on the turtle would be 3.92N.
What is net force?
This is referred to as the total forces acting on an object.
Formula for calculating force on a body:
F= mv/t...........(i)
Formula for calculating net force:
Fnet= F₁ +F₂ +F₃ +F......FN ............(ii)
where,
F₁ +F₂ +F₃ +F......FN= force acting on the body.
From the Question:
Mass, M=28.59 kg
Velocity, V= 5.18 m/s
time, T =37.80 s.
Using equation (i)
F= mv/t
=28.59 kg*5.18 m/s
37.80 s.
=3.92N
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Pls solve the first question for me
Answer:
which question
Explanation:
please explain better
WILL GIVE BRAINLIEST PLEASE!!!!
Marco completes one lap around a 200 m circular track. What is his displacement? What is the distance that he ran?
Answer: the displacement should be zero while the distance would be 200
Explanation:
The displacement is the change in position of an object from its origin. The questions states that he ran a full circular lap therefore started as point of origin and ended up at point of origin. This would mean that his displacement is zero.
Distance on the other hand is just simple adding without the use of vectors and such. In this case the distance he ran would be 200m.
An air conditioner cools a room using which method?
A. Conduction
B. Convection
C. Radiation
Answer:
b) Convection
Explanation:
An air conditioner cools a room using convection method. Therefore, the option (b) is the correct answer.
The figure shows an overhead view of a 1.40 kg plastic rod of length 1.20 m on a table. One end of the rod is attached to the table, and the rod is free to pivot about this point without friction. A disk of mass 38.0 g slides toward the opposite end of the rod with an initial velocity of 35.5 m/s. The disk strikes the rod and sticks to it. After the collision, the rod rotates about the pivot point.
A thin vertical rod has a point labeled pivot at its bottom, and a disk moving horizontally along an arrow labeled vector v that will reach the rod perpendicularly at the top.
(a) What is the angular velocity, in rad/s, of the two after the collision?
The angular velocity, in rad/s, of the two after the collision is 28.7 rad/s.
What is the angular velocity after collision?
The angular velocity, in rad/s, of the two after the collision is determined by applying principle of conservation of angular momentum as follows;
I₁ω₁ = I₂ω₂
where;
I₁ is the initial moment of inertia of the rodI₂ is the final moment of inertia of the rodω₁ is the initial angular speed of the diskω₂ is the final angular velocity of the system after the collisionInitial moment of inertia of the rod is calculated as follows;
I₁ = ¹/₃ML²
where;
M is mass of the rodL is length of the rodI₁ = ¹/₃ x 1.4 x (1.2²)
I₁ = 0.67 kgm²
Final moment of inertia of the rod is calculated as;
I₂ = ¹/₃ x (1.4 + 0.038) x (1.2²)
I₂ = 0.69 kgm²
I₁ω₁ = I₂ω₂
0.67(0 + 35.5/1.2) = 0.69ω₂
19.82 = 0.69ω₂
ω₂ = 19.82/0.69
ω₂ = 28.7 rad/s
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what sources of motion does a shake flashlight harness
Answer:
The power for the LED stems from the movement of a magnet through a coil of wire on a tube. Each time the magnet moves through the coil of wires, the magnet generates a pulse of electricity. This is what happens when you shake the flashlight. A capacitor allows you to use the flashlight without continuously shaking it.
You are given 13.0 m of thin wire. You form the wire into a circular coil with 70 turns.
If this coil is placed with its axis parallel to a 0.19 T magnetic field, what is the flux through the coil?
The magnetic flux through the coil is determined as 25.2 Tm².
What is the magnetic flux through the coil?
Magnetic flux is defined as the number of magnetic field lines passing through a given closed surface.
The magnetic flux through the coil is calculated using the following formula.
Ф = BA cosθ
where;
B is the magnetic field strengthA is the area of the coilθ is the inclination of the coilA = πd²/4
where;
d is the diameter of the wireA = π(13)²/4
A = 132.73 m²
Since the coil is parallel to the magnetic field, θ = 0
Ф = BA cosθ
Ф = 0.19 T x 132.73 m² x cos(0)
Ф = 25.2 Tm²
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A sample ends up 7 miles to the west of appear what statement is true about the situation
The statement that the sailboat ends up seven miles to the west is true because that it depicts displacement, a vector quantity.
Describe displacement.The vector quantity known as displacement stands for distance with a directional component. As a result, displacement is defined as a distance and a direction.
Contrarily, distance is the amount of space between two locations, typically those that are geographical, and is typically (though not always) measured along a straight line. It has no direction because it is a scalar quantity.
The primary distinction between the two terms is as follows: A scalar quantity known as distance measures "how much ground an object has traversed" while moving.
The answer to this query places a sailboat 7 miles west of a pier. This indicates displacement because the magnitude is 7 and the direction is west of the pier.
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A 60km is suspended from two cables which makes 30° and 45° angle with the vertical. Determine the tension in each string.
The tension in each string if a 60 kg is suspended from two cables which makes 30° and 45° angle with the vertical is 429.2 N to the left and 302.25 N to the right.
m = 60 kg
Resolving the tension force of 30° string into its horizontal and vertical components
Tx = T1 sin θ
Tx = T1 sin 30°
Tx = 0.5 T1
Ty = T1 cos θ
Ty = T1 cos 30°
Ty = 0.87 T1
Resolving the tension force of 45° string into its horizontal and vertical components
Tx = T2 sin θ
Tx = T2 sin 45°
Tx = 0.71 T2
Ty = T2 cos θ
Ty = T2 cos 45°
Ty = 0.71 T2
∑Fx = 0
- 0.5 T1 + 0.71 T2 = 0 → ( 1 )
∑Fy = 0
0.87 T1 + 0.71 T2 - m g = 0
0.87 T1 + 0.71 T2 - ( 60 * 9.8 ) = 0
0.87 T1 + 0.71 T2 - 588 = 0 → ( 2 )
( 2 ) - ( 1 ),
1.37 T1 - 588 = 0
T1 = 588 / 1.37
T1 = 429.2 N
Sub T1 in ( 1 ),
( - 0.5 * 429.2 ) + 0.71 T2 = 0
- 214.6 + 0.71 T2 = 0
T2 = 214.6 / 0.71
T2 = 302.25 N
Therefore, the tension in each string is 429.2 N to the left and 302.25 N to the right.
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Scientists determine the masses of planets by observing the effect of the gravitational field of those planets on nearby objects - mainly upon their moons. By measuring the orbital period and orbital radius of a moon about a planet, Newton's laws of motion can be used to determine the mass of the planet. Phobos, a moon of the planet Mars, was discovered in 1877. It's orbital radius is 9380 km and its orbital period is 0.319 days (2.77 x 104 seconds). Determine the mass of Mars based on this data.
equal to 9380 into 10. To the power three m. T is equal to 2.77 into 10 to the power of four seconds. So the expression for finding the mass of mars as the Squire divided by r cube as equal to four Pi Square divided by G into em. So M will be equal to for by Squire. Our cue divided by G. The Squire. So now we can substitute the values That does four by Squire. indu 9380 into 10. to the power three all cube divided by Value of GS 6.67, 3 into 10 to the Power -11. Indu 2.77 into 10 to the power of four all Squire. By solving this, we will get the mosque as six point 363 into 10. to the power 23 kilogram
4. In a physics lab, Kate and Rob use a hanging mass and pulley system to exert a 2.45 N
rightward force on a 0.500-kg cart to accelerate it across a low-friction track. If the total
resistance force to the motion of the cart is 0.72 N, then what is the cart's acceleration?
Fgrav = 4.90 N; Fnorm = 4.90 N; Fnet = 1.73 N, then the acceleration of the cart is (a) = 3.46 m/s/s,
What is acceleration and its types?Acceleration is defined as a vector quantity, the rate at which an object changes its velocity. An object is accelerating if it is changing its velocity. It can be either positive, negative, or zero depending upon the velocity and its direction. Three types of acceleration are Uniform acceleration, non-uniform acceleration, and average acceleration.
Formula
{a} = v - v0/t =Δv/Δ t
{a} = average acceleration
v = final velocity
v_0 = starting velocity
t = elapsed time
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12. Water spinning in a turbine has
(1 Point)
Water spinning in a turbine has Kinetic energy.
What is kinetic energy?
We must exert force on an object to accelerate it. We have to put up the effort to use force. Energy is transmitted when work is done on an object, and the thing then moves at a new, constant speed. The energy that is transported is referred to as kinetic energy, and it is influenced by the mass and speed attained.
In physics, kinetic energy is described as follows:
The amount of labor an object can accomplish through motion is measured by its kinetic energy.
As a scalar quantity, kinetic energy can only be fully defined by its magnitude.
Water spinning in a turbine has kinetic energy which is used to produced electric energy.
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What does an old sandwich rotting in a trashcan and building a tower out of magnetic blocks have in common
An old sandwich rotting in a trashcan and building a tower out of magnetic blocks both are undergoing chemical changes.
What are chemical changes?Chemical changes are said to occur when a substance combines with another to form a new substance, called chemical synthesis or, alternatively, chemical decomposition into two or more different substances.
Examples of chemical changes include burning of wood, cooking of pasta, rusting of metal , and rotting of sandwiches.
In conclusion, chemical changes involve the formation of new substances while Physical change is a temporary change.
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ASTRONOMY QUESTION
Over what range of distances from the Sun would you expect to find solid, rocky material collecting together to form a terrestrial planet?
Group of answer choices
A) 5 - 50 AU
B) beyond 50 AU
C) 0.2 - 5 AU
D) 0 - 0.2 AU
The range of distances from the Sun that you would expect to find solid, rocky material collecting together to form a terrestrial planet is option (C) 0.2 - 5 AU.
What is formation of a terrestrial planet about?Jovian planets can be found at distances of 2 AU to 50 AU or more. This is the area where the early Solar System's temperature was below 273 K, water's freezing point.
Therefore, While rocky and metallic materials (Terrestrial planets) might have condensed over the whole range of distances from the Sun, only the rocky material could have accumulated over the range from 2 AU and inwards. H and He may have also been captured by the planet if it had been further from the Sun than 2 AU, which would have made it a Jovian or gas giant planet.
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Considering that W = AE, what force(s)
cause the Work to change the skiers KE, to
0 Joules?
Potential energy is lost as the skier starts to descend the hill, while kinetic energy, or the energy of motion, is gained. The skier increases her speed as she decreases height (and thereby potential energy) (and thus gains kinetic energy).
What elements influence kinetic energy?Mass and speed are the two main determinants of kinetic energy. Because an object's motion is influenced by its velocity as well as its mass, though mass is the more crucial factor.
You are working against inertia when you accelerate an object. The change in the object's kinetic energy is equal to that work. Starting with the common equation for work against inertia, it is possible to prove that the relationship exists.
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Two objects have a gravitational force of attraction to each other, equal to 10 Newtons. What is their gravitational force if the distance between them is halved?
I have the answer, however I do not know how to get to it. Please explain.
The gravitational force when the distance between them is halved is 40 N
How to determine the gravitational force?Newton's law of universal gravity states as follow:
F = GM₁M₂ / r²
Where
F is the force of attraction K is the electrical constant M₁ and M₂ are the masses of the objects r is the distance apartFinding a relationship between force and distance, the following were obtained:
F = GM₁M₂ / r²
Cross multiply
Fr² = GM₁M₂
GM₁M₂ = constant
F₁r₁² = F₂r₂²
Now, we can obtain the new gravitational force of as illustrated below:
Initial gravitational force (F₁) = 10Initial distance (r₁) = rNew distance (r₂) = 1/2r = 0.5rNew gravitational force (F₂) =?F₁r₁² = F₂r₂²
10 × r² = F₂ × (0.5r)²
10r² = F₂ × 0.25r²
Divide both side by 0.25r²
F₂ = 10r² / 0.25r²
F₂ = 10 / 0.25
F₂ = 40 N
Thus, the gravitaional force is 40 N
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1. The mass of oil in a reservoir is 825kg. If the reservoir has a volume of 0.197m³.
Determine:
i.
ii.
The density of the oil
The specific weight of the oil
The specific gravity of the oil
Density, Specific Weight & Gravity of oil is 899.7 kg/m³, 8826.057 kg/m²s² and 0.8997 respectively.
Given: Mass =825kg, Volume =0.197m³
Density =Mass/Volume
=825/0.197
=899.7 kg/m³
specific weight= Density x Gravity
= 899.7 x 9.81 = 8826.057 kg/m²s²
Specific Gravity= Density/Density of water
=899.7/1000
=0.8997
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