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natka813 [3]
2 years ago
5

An overhead projector lens is 32.0 cm from a slide (the object) and has a focal length of 30.1 cm. What is the magnification of

the image? PLS HELP
Physics
1 answer:
puteri [66]2 years ago
6 0

Answer: 15.8

Explanation:

You are given that the

Object distance U = 32 cm

Focal length F = 30.1 cm

First calculate the image distance V by using the formula

1/F = 1/U + 1/V

Substitute F and V into the formula

1/30.1 = 1/32 + 1/V

1/V = 1/30.1 - 1/32

1/V = 0.00197259

Reciprocate both sides

V = 506.94 cm

Magnification M is the ratio of image distance to object distance.

M = V/U

substitute the values of V and U into the formula

M = 506.94/32

M = 15.8

Therefore, the magnification of the image is 15.8 or approximately 16.

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Marla says that only one person was really responsible for the theory of planetary motion. Do you agree with her? Why or why not
mr Goodwill [35]
I do not agree with her. The theory of planetary motion was a group effort between Johannes Kepler and Sir Isaac Newton. I don't feel as if Tycho Brahe had much to do with it seeing as it was really Kepler who figured it all out.

(this is my own answer which worked)
7 0
2 years ago
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For some metal alloy, a true stress of 345 MPa (50040 psi) produces a plastic true strain of 0.02. How much will a specimen of t
Juliette [100K]

Answer:

24.348mm

Explanation:

NB: I'll be attaching pictures so as to depict missing mathematical expressions or special characters which are not easily found on keyboards

K = d / €^n

Note : d represents the greek alphabet epsilion.

K = 345 / 0.02⁰.²² = 816mPa

The true strain based upon the stress of 414mPa =

€= (€/k)^1/n = (414/816)¹/⁰.²² = 0.04576

However the true relationship between true strain and length is given by

€ = ln(Li/Lo)

Making Li the subject of formula by rearranging,

Li = Lo.e^€

Li = 520e⁰.⁰⁴⁵⁷⁶

Li = 544.348mm

The amount of elongation can be calculated from

Change in L = Li - Lo = 544.348 - 520 change in L = 24.348mm.

8 0
2 years ago
ery large accelerations can injure the body, especially if they last for a considerable length of time. One model used to gauge
IgorC [24]

Answer:

2.98 second

Explanation:

The severity index is defined by :

S=a^{5/2}t

a is dimensionless constant that equals the number of multiples of g

Conditions are given as :

Initial velocity, u = 0

Acceleration, a = 34 m/s²

Final velocity, v = 16.4 km/h = 4.56 m/s

We can find t from the above data as follows :

t=\dfrac{v-u}{a}\\\\t=\dfrac{4.56-0}{34}\\\\t=0.134\ s

As a is the acceleration that is multiple of g.

So,

a=\dfrac{34}{9.8}=3.46

So,

Severity index,

S=a^{5/2}t\\\\S=(3.46)^{5/2}\times 0.134\\\\S=2.98\ s

Hence, the severity index for the collision is 2.98 seconds.

6 0
2 years ago
Janice's mother often lets her 6-month-old baby sit in front of the television, watching episodes of Sesame Street. What is Jani
brilliants [131]
B.

The child is too old to be gaining something from the screen time.
6 0
2 years ago
An elephant's legs have a reasonably uniform cross section from top to bottom, and they are quite long, pivoting high on the ani
PilotLPTM [1.2K]

Answer:

 t = 6,485 s ,  t_step = 25.94 s

the elephant gives 2.3 step very minute

Explanation:

Let's approximate this system to a simple pendulum that has angular velocity

            w = √L / g

Angular velocity and period are related

           w = 2π / T

           T = 2π √g / L

Let's find the period

           T = 2π √9.8 / 2.3

           T = 12.97 s

Stride time is

           t = T / 2

           t = 12.97 / 2

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Frequency is inversely proportional to period

            f = 1 / t

            f = 1 / 6,485

            f = 0.15 Hz

Since the elephant has 4 legs and each uses a time t, the total time for one step is

            t_step = 4 t

            t_step = 4 6.485

            t_step = 25.94 s

             f_step = 1/t_step =0.0385 s-1

Now let's use a proportion rule to find the number of steps in 60 s

           #_step = 60 / t_step

           #__step = 60 / 25.94

           #_step = 2.3 steps

So the elephant gives 2.3 step very minute

4 0
2 years ago
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