A concave mirror of focal length 10cm forms an inverted image of 40cm from the mirror and 4cm high. Determine the position and size of the object by scale drawing and by calculation
Answers
The equation of the constructor of the geomeric optics allows to find the results for the distance and size of the objects are:
Distance from the mirror to the object is: p = 13.3 cm The height of the object is: h = 1.33 cm
The equation of the constructor of geometric optics describes the position of objects and their images for mirrors and lenses.
[tex]\frac{1}{f} = \frac{1}{p} + \frac{1}{q}[/tex]
Where f is the focal length, p and q are the distances to the object and the image, respectively.
They indicate the focal length f = 10 cm, the distance to the image q = 40 cm, that the height s h ’= 4 cm. In the attachment we see a scheme of the system.
Let's find the distance to the object.
[tex]\frac{1}{p\frac{x}{y} } = \frac{1}{f} - \frac{1}{q} \\\frac{1}{p} = \frac{1}{10} - \frac{1}{40}\\\frac{1}{p} = 0.075[/tex]
p = 13.3 cm
The magnification in the ratio of image size to object size. The image is inverted so its height is negative.
[tex]m = \frac{h'}{h} = - \frac{q}{p}\\h = - \frac{p}{q} \ h'\\h = - \frac{13.3}{40}\ (-4)[/tex]
h = 1.33 cm
In conclusion using the equation of the constructor we can find the results for the distance and size of the objects are:
Distance from the mirror to the object is 13.3 cm The height of the object is 1.33 cm
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Related Questions
a dog is running at 5.5 m/s then comes to a complete stop in 1.5 seconds. What is the dogs acceleration?
Answers
The dog's acceleration running at 5.5 m/s then comes to a complete stop in 1.5 seconds is 8.25m/s²
HOW TO CALCULATE ACCELERATION:
The acceleration of a moving object can be calculated by multiplying the velocity of the object by the time taken. That is;Acceleration (m/s²) = speed (m/s) × time (s)According to this question, a dog is running at 5.5 m/s then comes to a complete stop in 1.5 seconds. The acceleration can be calculated as follows:Acceleration = 5.5 × 1.5Acceleration = 8.25m/s²Therefore, the dog's acceleration running at 5.5 m/s then comes to a complete stop in 1.5 seconds is 8.25m/s².Learn more at: https://brainly.com/question/19573976?referrer=searchResults
An aircraft traveling at 600km/h accelerates steadily at 10km/h per second. Taking the speed of sounds as 1100km/h at the aircraft's altitude, how long will it take to reach the sound barrier.
Answers
Answer:
V2 - V1 = a t for uniformly accelerated motion
t = (V2 - V1) / a = (1100 -600) km/hr / 10 km/hr/sec
t = 500 / 10 sec = 50 sec
__________ is an example of a directional research hypothesis.
Answers
Answer:
Directional hypothesis is an example of a directional research hypothesis.
Explanation:
Directional hypothesis: A directional (or one tailed hypothesis) states which way you think the results are going to go, for example in an experimental study we might say…”Participants who have been deprived of sleep for 24 hours will have more cold symptoms in the following week after exposure to a virus than
I NEED ANSSWER IN THE NEXT 5 MINITES. OR NO BRAINLY REWARD.
a rock which has the mass of 25 kg is on a cliff 42 m high. Calculate the rocks potential energy. Given g = 10 m/s^2. NO FALSE ANSWERS ACCEPTED.
1,050 J
10,500 J
5,250 J
220,500 J
Answers
1050
Explanation:
you have to multiply 25kg time42m
Jeremy ran a race at a speed of 15 m/s in a time of 8 seconds. Calculate the distance he ran.
Answers
Answer:
120 m/s if m/s means miles per second than
Explanation:
15 × 8
Answer:
d = 120 m
Explanation:
Data:
Speed (s) = 15 m/sTime (t) = 8 sDistance (d) = ?Use the formula:
d = s * tReplace with the data, and solve:
d = 15 m/s * 8 sd = 120 mThe distance is 120 meters.
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A ball Of Mass. 0.5 kg initially at rest is kick directly toward offense from appoint 20 m away as shown below the velocity of the ball as it leaves the kickers foot is 16 M/S at angle 45 degrees above the horizontal the top of the fence is 4 m high the ball hits nothing Wallen flight and a resistance is negligible the acceleration due to gravity is 9.8 M/S^2 determine the time it takes for the ball to reach the plane of the fence.
Answers
Answer:
a. The horizontal component of the velocity is constant so vxt = d where vx = v0 cosθ = 16m/s t = d/v = 2s
b. The height of the ball during its flight is given by y = v0yt + ½ gt2 where v0y = v0sinθ = 12m/s and g = –9.8m/s2 which gives at t = 2s, y = 4.4m. The fence is 2.5m high so the ball passes above the fence by 4.4m – 2.5m = 1.9m
Explanation:
What would happen if the mass of Venus doubled?
Answers
Answer:
it will start moving faster and may also move away from the sun..
or if it's speed decreases it will go towards the sun and will collapse with it
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How do you choices of physical activities and food affect your fitness levels and health goals?
Answers
Answer:
Food provides energy for physical activity
Explanation:
As you get more active and more fit, and/or as you lose weight, your energy needs (how many calories you need) may change. To get the energy you require, you need to get the proper amount of: Protein, which is needed to maintain and rebuild tissues such as muscles.
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i NEED THE RIGHT ANSWER FOR THIS ASAP NO LINKS !!!
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Answer:
it is the dependent since it keeps changing over time get it :)
Explanation:
Answer the question below and show all work.
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Answer:
Explanation:7
Question pictured below
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Will give brainiest if right
Answers
explain why so much thermal energy is released in a chain reaction
Answers
Answer:
It is the chain reaction process that is used in reactors and nuclear weapons to generate a large number of fissions. In a reactor, the propagation of fissions takes place in a controlled manner, in a nuclear weapon in an uncontrolled, explosive manner.
The products of nuclear fission are usually accompanied by two to three secondary, free neutrons which can be absorbed later by other fissile nuclei. These absorptions in turn lead to further fissions, then to the production of other neutrons etc ..., a process commonly called chain reaction.
Deserts are only found near the equator.
Answers
Answer:
False
Explanation:
Texas is and astralia exsist.
Which has more kinetic
energy, a bowling ball or
a baseball rolling on a
table at the same speed?
Why?
Answers
Answer: a bowling ball
Explanation: a baseball doesn’t need as much kinetic energy because it’s smaller
If a bowling ball is rolling at the same speed as a small baseball then since the bowling ball is bigger it has more kinetic energy
Explanation: A baseball doesn’t require much kinetic energy because it is smaller than a bowling ball and much lighter.
Andy took a bus and then walked from his home to downtown. For the first 1.6 hour, the bus drove at an average speed of (15km)/(h). For the next 0.4 hours, he walked at an average speed of (4.5km)/(h). What was the average speed for the whole journey?
Answers
Answer:
240
Explanation:
Using parallax, what is the distance to the
farthest stars you can measure?
Answers
A cheetah running initially at a velocity of 20 m/s accelerates
uniformly at 3.0 m/s. The velocity of the cheetah will be
m/s after 4.0 seconds.
Answers
Answer: I think it’s 32 m/s
Explanation: Vi=20 m/s
Vf=?
a=3.0 m/s^2
t= 4s
Vf= Vi + at
Vf= 20 m/s + (3 m/s^2)(4s)
Vf= 20 m/s + 12m/s
Vf= 32m/s
If A cheetah running initially at a velocity of 20 m/s accelerates
uniformly at 3.0 m/s2. The velocity of the cheetah after 4.0 seconds will be 32 m/s.
To find the velocity of the cheetah after some time we can use the formula:
v = u + at
where:
v = final velocity
u = initial velocity
a = acceleration
t = time
Given:
Initial velocity (u) = 20 m/s
Acceleration (a) = 3.0 m/s²
Time (t) = 4.0 seconds
now we can put values in eq.
v = 20 m/s + (3.0 m/s²) * 4.0 s
v = 20 m/s + 12 m/s
v = 32 m/s
so the answer is 32 m/s.
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How do I calculate the moment of force? Please answer as soon as possible
Answers
Moment of force = F x d . Here d is the distance from the fixed axis, Moment of force is expressed in newton meter (Nm). Moment of force formula can be applied to calculate the moment of force for balanced as well as unbalanced forces.
if a person with a mass of 70kg is standing on scale in an elevator when the cable snaps, what will the reading on the scale be during free-fall?
Answers
Answer:
The reading will be the same.
Explanation:
Mass does not depend upon anything and it remains the same anywhere. What changes is the weight of the body because it depends upon gravity and is different at different places.
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The reading on the scale during free-fall will be the same. reading on the scale is independent of the external environment.
What is a weighing scale?A weighing scale known as a balance is a device used to quantify weight or mass. The classic scale is made up of two plates or bowls that are suspended at equal distances from a fulcrum.
A person with a mass of 70kg is standing on a scale in an elevator suddenly the cable snaps, The reading on the scale during free-fall will be the same as the initial elevator condition.
Hence the reading on the scale during free-fall will be the same. reading on the scale is independent of the external environment.
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Three forces act simultaneously on poin J. One force is 10.0 N north; the second is 15.0 N west; the third is 15.0 N 30.0° east of north. Determine the magnitude and direction of the resultant force.
Answers
The magnitude and direction of the resultant force are 10.0N and 101.36⁰
The sum of force along the force horizontal is expressed as:
[tex]\sum F_x=-15.0N+15cos30\\\sum F_x = -15.0N + 12.99N\\\sum F_x = -2.01N[/tex]
The sum of force along the vertical is expressed as:
[tex]\sum F_y = +10N[/tex]
Calculate the magnitude of the force:
[tex]F=\sqrt{(\sum F_x)^2+(\sum F_y)^2} \\F=\sqrt{(-2.01)^2+(10)^2} \\F=\sqrt{104.0401}\\F= 10.2N[/tex]
Hence the magnitude of the resultant force is 10.2N
Find the direction
[tex]\theta = tan^{-1}\frac{y}{x}\\ \theta = tan^{-1}\frac{10}{-2.01}\\\theta =tan^{-1}(-4.9751)\\\theta =-78.63^0\\\theta = 180-78.63 = 101.36^0[/tex]
Hence the magnitude and direction of the resultant force are 10.0N and 101.36⁰
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why are hydraulic brakes less effective if there is air in the liquid
Answers
Answer:
air is compress able
since air can be compressed, then the hydraulics will not work as well. It won't be able to push the object or brake the wheels. Since water cannot be compressed, it is able to push something, that's how hydraulics work.
Explanation:
it reduces pressure and essentially makes the process less effective.
Math the words in the box with the sentences below.
Answers
In order of appearance on the table;
Magnetic force
Normal force
Gravity
String force
Friction
Contact force
Tension
Non Contact force
Static force
Applied force
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A 30N force is applied to an object having a mass of 300 grams. Calculate the acceleration of the moving object
Answers
Answer:
9000 m/s
Explanation:
A=Fm
Acceleration = Force x Mass(Newtons)
A boy exerts an unknown horizontal force as he pulls a 52 N sled across packed snow. The coefficient of friction is 0.12. If a person weighing 650 N sits on the sled, what force is needed to pull the sled across the snow at constant speed?
Answers
Answer:
0.62
Explanation:
Ff = mg = 52 N
Since the speed is constant, the friction
force equals the force exerted by the
girl, 36 N.
Ff = ukFn
so uK = Ff/Fn
= 36 N/52 N
= 0.69
Force is needed to pull the sled across the snow at constant speed is 0.62 N
What is force?A force in physics is an effect that has the power to alter an object's motion. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.
Given in the question a boy exerts an unknown horizontal force as he pulls a 52 N sled across packed snow. The coefficient of friction is 0.12. If a person weighing 650 N sits on the sled,
Ff = mg = 52 N
Since the speed is constant, the friction force equals the force exerted by the boy, 36 N.
Ff = (uk).(Fn)
so uK = Ff/Fn
= 36 N/52 N
= 0.69 N
Force is needed to pull the sled across the snow at constant speed is 0.62 N
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NEED HELP!!!! 10 POINTS!!!
When you feel short of breath, what is actually going on in your body?
A.
Your lungs are full to capacity.
B.
Your muscles are about to collapse.
C.
Your heart stops beating just for a second.
D.
Your body is not getting enough oxygen throughout.
PLEASE NO LINKS
Answers
An object is known to have balanced forces on it. Which of the following would be a true statement?
Answers
If an object has a balanced force on it, there is a possibility that the object may be in a position i.e. there is no change in speed and direction of the body.
If the forces acting on an object is balanced, it means that the net force acting on the body is zero.
According to Newton's law of motion, an object will continue in a state of motion in a straight line unless acted upon by an external force.
This external force might be a balanced or unbalanced force. Hence if an object has a balanced force on it, there is a possibility that the object may be in a position i.e. there is no change in speed and direction of the body.
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A car, travelling at a speed of 30 m/s in a straight line, brakes and decelerates at a uniform rate of 2 m/s2. How much further does it travel before coming to rest?
Answers
Answer:
You are finding acceleration, so it would be 15 m/s2
Explanation:
30 divided by 2
is my answer correct?,
“gains electric potential energy”
if not, what’s the correct one?
pls help
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sometimes you just gotta take some risks in life. go with that answer
True or False: the longer the hail stone is
kicked around by updrafts the larger it
gets.
Answers
こんにちは人々
False