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
sukhopar [10]
3 years ago
11

A small insect viewed through a convex lens is 1.5 cmcm from the lens and appears 2.5 times larger than its actual size. Part A

What is the focal length of the lens
Physics
1 answer:
Art [367]3 years ago
3 0

Answer:

The focal length of the lens is 2.5 cm

Explanation:

Use the two equations for thin lenses combined: the one for magnification (m), and the one that relates distances of object d_o, of image d_i, and focal length;

m=\frac{h_i}{h_o} =-\frac{d_i}{d_o} \\  \\\frac{1}{d_i} +\frac{1}{d_o} =\frac{1}{f}

Since we know the value of the magnification (m), we can write the image distance in terms of the object distance, and then use it to replace the image distance in the second equation:

m=-\frac{d_i}{d_o} \\2.5=-\frac{d_i}{d_o}\\d_i=-2.5\,d_o

then, solving for the focal distance knowing that the object distance is 1.5 cm:

\frac{1}{d_i} +\frac{1}{d_o} =\frac{1}{f}\\-\frac{1}{2.5\,d_o} +\frac{1}{d_o} =\frac{1}{f}\\(2.5\,d_o\,f)\,(-\frac{1}{2.5\,d_o} +\frac{1}{d_o}) =\frac{1}{f}\,(2.5\,d_o\,f)\\-f+2.5\,f=2.5\,d_o\\1.5\,f=2.5\,d_o\\f=\frac{2.5\,d_o}{1.5} \\f=\frac{2.5\,(1.5\,\,cm)}{1.5}\\f=2.5\,\,cm

You might be interested in
Why is it important for engineers to design bumper cars safely
rosijanka [135]

Answer:

Cars have bumpers designed to protect the body of the car from minor damage during low-speed collisions. ... They will use the engineering design process to design and build bumpers to protect the main parts of their car from damage, and use their knowledge of Newton's third law to explain what they observe.

Explanation:

3 0
3 years ago
Read 2 more answers
A trick shot archer shoots an arrow with a velocity of 30.0 m/s at an angle of 20.0 degrees with respect to the horizontal. An a
svlad2 [7]

Answer:

u'=10.259\ m.s^{-1} is the initial velocity of tossing the apple.

the apple should be tossed after \Delta t=0.0173\ s

Explanation:

Given:

  • velocity of arrow in projectile, v=30\ m.s^{-1}
  • angle of projectile from the horizontal, \theta=20^{\circ}
  • distance of the point of tossing up of an apple, d=30\ m

<u>Now the horizontal component of velocity:</u>

v_x=v\ cos\ \theta

v_x=30\times cos\ 20^{\circ}

v_x=28.191\ m.s^{-1}

<u>The vertical component of the velocity:</u>

v_y=v.sin\ \theta

v_y=30\times sin\ 20^{\circ}

v_y=10.261\ m.s^{-1}

<u>Time taken by the projectile to travel the distance of 30 m:</u>

t=\frac{d}{v_x}

t=\frac{30}{28.191}

t=1.0642\ s

<u>Vertical position of the projectile at this time:</u>

h=v_y.t-\frac{1}{2}g.t^2

h=10.261\times 1.0642-\frac{1}{2} \times 9.8\times 1.0642^2

h=5.3701\ m

<u>Now this height should be the maximum height of the tossed apple where its velocity becomes zero.</u>

v'^2=u'^2-2g.h

0^2=u'^2-2\times 9.8\times 5.3701

u'=10.259\ m.s^{-1} is the initial velocity of tossing the apple.

<u>Time taken to reach this height:</u>

v'=u'-g.t'

0=10.259-9.8\times t'

t'=1.0469\ s

<u>We observe that </u>t>t'<u> hence the time after the launch of the projectile after which the apple should be tossed is:</u>

\Delta t=t-t'

\Delta t=1.0642-1.0469

\Delta t=0.0173\ s

8 0
3 years ago
What is relative velocity?​
joja [24]
Search it up bruhhhhhhhhhhhhh
5 0
3 years ago
Read 2 more answers
a particle moves with simple harmonic motion.if it's acceleration is 100 times it's displacement what is it's period​
Liono4ka [1.6K]

Answer:

Simple harmonic motion is repetitive. The period T is the time it takes the object to complete one oscillation and return to the starting position. ... If at t = 0 the object has its maximum displacement in the positive x-direction, then φ = 0, if it has its maximum displacement in the negative x-direction, then φ = π.

Explanation:

Simple harmonic motion, in physics, repetitive movement back and forth through an equilibrium, or central, position, so that the maximum displacement on one side of this position is equal to the maximum displacement on the other side

4 0
3 years ago
A baby elephant is stuck in a mud hole. To help pull it out, game keepers use a rope to apply force A, as part
aniked [119]

Answer:

The ratio is 1:1

Explanation:

Firstly we are told the in (a) we have a force which A given to be: FA

We are then told the are two other forces which a B and C which are equal.

These forces are given to be F and 19.5° away from A.

We are then told that the force on the elephant is now three times, of what it was when we only had force A.

Since we are told that B and C are eqaula.

If we say FA = 2N

Then in order for it to be three times, we would have to add 4N since it was the only force present at the time.

If we add two equal forces, then we can devide that 4 by 2.

We then find out that F =2N

and thus equal to FA.

Therefore the ratio of F/FA is

!:1

4 0
3 years ago
Other questions:
  • If the frequencies of two component waves are 24 Hz and 20 Hz, they should produce _______ beats per second.
    10·2 answers
  • A teacup on a spinning teacup ride takes 1.5 s to complete a revolution around the center of the platform. What is the centripet
    7·2 answers
  • A semi-infinite solid is
    13·1 answer
  • Si m1 es 6kg y m2 es 14kg y la masa de la polea es despreciable ¿Cual es la aceleración que adquiere el sistema?
    9·1 answer
  • A police car drives 100 miles in 75 minutes. What is its average speed in miles per hour?
    12·1 answer
  • Which gland controls the workings of other endocrine glands? Thyroid, pituitary, adrenal, or thymus
    14·2 answers
  • With certain exceptions, Class E airspace extends upward from either 700 feet or 1,200 feet AGL to, but does not include,A) 14,5
    5·1 answer
  • How many grams are in 6.53 moles of Mn?
    11·1 answer
  • A measure of the body's resting energy expenditure based on data that is collected four hours after eating or physical activity
    5·1 answer
  • Who do you think the target market of these advertisements is? Explain.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!