1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Liono4ka [1.6K]
3 years ago
11

A concave mirror of focal length 10cm forms an inverted image of 40cm from the mirror and 4cm high. Determine the position and s

ize of the object by scale drawing and by calculation
​
Physics
1 answer:
Alika [10]3 years ago
7 0

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.

       \frac{1}{f} = \frac{1}{p} + \frac{1}{q}  

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.

        \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

       p = 13.3 cm

The magnification in the ratio of image size to object size.  The image is inverted so its height is negative.

        m = \frac{h'}{h} = - \frac{q}{p}\\h = - \frac{p}{q} \ h'\\h = - \frac{13.3}{40}\ (-4)

        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

   

Learn more here: brainly.com/question/14314471

You might be interested in
Assume that the electric field E is equal to zero at a given point. Does it mean that the electric potential V must also be equa
lyudmila [28]

Answer:

  • No, this doesn't mean the electric potential equals zero.

Explanation:

In electrostatics, the electric field \vec{E} is related to the gradient of the electric potential V with :

\vec{E} (\vec{r}) = - \vec{\nabla} V (\vec{r})

This means that for constant electric potential the electric field must be zero:

V(\vec{r}) = k

\vec{E} (\vec{r}) = - \vec{\nabla} V (\vec{r}) = - \vec{\nabla} k

\vec{E} (\vec{r}) = -  (\frac{\partial}{\partial x} , \frac{\partial}{\partial y } , \frac{\partial}{\partial z}) k

\vec{E} (\vec{r}) = -  (\frac{\partial k}{\partial x} , \frac{\partial k}{\partial y } , \frac{\partial k}{\partial z})

\vec{E} (\vec{r}) = -  (0,0,0)

This is not the only case in which we would find an zero electric field, as, any scalar field with gradient zero will give an zero electric field. For example:

V(\vec{r})= (x+2)^2 (y+4)^3 (z+5)^4

give an electric field of zero at point (0,0,0)

8 0
3 years ago
A car travels due east with a speed of 52.0 km/h. Raindrops are falling at a constant speed vertically with respect to the Earth
serg [7]

Answer:

a) v = 6.43 m/s

b) v = 15.8 m/s

Explanation:

Speed of car = 56 km/h

56 km/h = 14.4 m/s

Angle rain makes on the glass to the vertical = 66°

Thus knowing that the opposite side of the angle is the distance moved by the car, and the adjacent side is the distance traveled by the rain in the same time

both of which are directly proportional to their velocities

Then

tan(66°) = 14.44m/s ÷ x

or x = 14.44/tan(66°)

Which is the vertical raindrop velocity of the relative to earth

v = 6.43 m/s vertically towards earth

For v relative to the car is we have vector sum of both velocities

v = √(14.44^2 + 6.43^2) = 15.8 m/s which is the velocity relative to car

= 15.8 m/s

6 0
3 years ago
A girl is shown at position A on a swing when the seat is directly below the support bar. The seat is then at height A as shown
MrRa [10]

Answer:

<u></u>

  • <u>1. The potential energy of the swing is the greatest at the position B.</u>

  • <u>2. As the swing moves from point B to point A, the kinetic energy is increasing.</u>

Explanation:

Even though the syntax of the text is not completely clear, likely because it accompanies a drawing that is not included, it results clear that the posittion A is where the seat is at the lowest position, and the position B is upper.

The gravitational <em>potential energy </em>is directly proportional to the height of the objects with respect to some reference altitude. Thus, when the seat is at the position A the swing has the smallest potential energy and when the seat is at the <em>position B the swing has the greatest potential energy.</em>

Regarding the forms of energy, as the swing moves from point B to point A, it is going downward, gaining kinetic energy (speed) at the expense of the potential energy (losing altitude). When the seat passes by the position A, the kinetic energy is maximum and the potential energy is miminum. Then the seat starts to gain altitude again, losing the kinetic energy and gaining potential energy, up to it gets to the other end,

7 0
3 years ago
Read 2 more answers
Recall that the differential equation for the instantaneous charge q(t) on the capacitor in an lrc-series circuit is l d 2q dt 2
Aloiza [94]
DE which is the differential equation represents the LRC series circuit where
L d²q/dt² + Rdq/dt +I/Cq = E(t) = 150V.
Initial condition is q(t) = 0 and i(0) =0.
To find the charge q(t)  by using Laplace transformation by
Substituting known values for DE
L×d²q/dt² +20 ×dq/dt + 1/0.005× q = 150
d²q/dt² +20dq/dt + 200q =150
5 0
3 years ago
Can an argon atom undergo vibrational motion?
azamat
No. the answer to the question if can an argon atom undergo vibrational motion is no. it can not even spin either. the argon atom, or the argon is a chemical element that is the third most abundant gas in the earth's atmosphere. it is ore than twice as abundance as water vapor. Thank you for this question.
5 0
3 years ago
Other questions:
  • Ina shoots a large marble (Marble A, mass: 0.08 kg) at a smaller marble (Marble B, mass: 0.05 kg) that is sitting still. Marble
    9·1 answer
  • According to the periodic table, which of the following is the correct symbol for
    15·1 answer
  • Can someone help me with 1-2
    7·1 answer
  • A flat uniform circular disk (radius = 2.30 m, mass = 1.00 ✕ 102 kg) is initially stationary. The disk is free to rotate in the
    9·1 answer
  • A runner completes the 300-meter dash in 38 seconds. What is the speed of the runner? Round your answer to the nearest tenth.The
    12·1 answer
  • For any degenerate triplet of states in a 3D infinite potential well, what is the maximum number of electrons allowed?
    15·1 answer
  • A car travels at a constant speed of 30km/h for .80h what is the total distance
    10·1 answer
  • Riddle of the day<br><br> What is so fragile that saying its name breaks it?
    10·2 answers
  • Which of the following is NOT a characteristic of vibrations?
    7·2 answers
  • A spring with a spring constant
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!