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vova2212 [387]
2 years ago
13

Challenge question: An arrow is placed at 3 centimeters to the left of a converging lens. The image appears at 3 centimeters to

the right of the lens. What is the focal length of this lens? (HINT: Place a dot to the right of the lens where the image of the tip of the arrow will appear. You will only be able to draw lines 1 and 2. Where does line 1 cross the principal axis if the image appears at 3 centimeters?)
Physics
1 answer:
Zanzabum2 years ago
8 0

The focal length of the converging lens based on the arrow placed  3 centimeters to the left and the imaged formed 3 cm to the right is 1.5 cm.

<h3>Focal length of the converging lens</h3>

The focal length of the converging lens is determined by applying the following converging lens formula.

1/f = 1/v + 1/u

where;

  • v is the image distance = 3 cm
  • u is the object distance = 3 cm
  • f is the focal length = ?

1/f = 1/3 + 1/3

1/f = 2/3

f = 3/2

f = 1.5 cm

Thus, the focal length of the converging lens is 1.5 cm.

Learn more about converging lens here: brainly.com/question/22394546

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An archer shot a 0.06 kg arrow at a target. The arrow accelerated at 5,000 m/s2 to reach a speed of 50.0 m/s as it left the bow.
laila [671]

Answer:

300 N

Explanation:

The net force acting on the arrow is given by Newton's Second Law:

F=ma

where

m = 0.06 kg is the mass of the arrow

a = 5,000 m/s^2 is the acceleration of the arrow

Substituting the numbers into the equation, we find

F=(0.06 kg)(5,000 m/s^2)=300 N

7 0
4 years ago
The fundamental frequency of a guitar string is 367 hz . part a what is the fundamental frequency if the tension in the string i
ANTONII [103]
The fundamental frequency of a string is given by:
f_1 =  \frac{1}{2L} \sqrt{ \frac{T}{\mu} }
where L is the string's length, T the tension and \mu the linear density of the string.

We can see that f1 is proportional to the square root of T: \sqrt{T}.
This means that if the new tension is half the initial value, the new fundamental frequency will be proportional to \sqrt{ \frac{T}{2} }= \frac{ \sqrt{T} }{ \sqrt{2} }=  \frac{f_1}{ \sqrt{2} }

So, the new fundamental frequency will be
f_1 ' =  \frac{367 Hz}{ \sqrt{2} }=259.5 Hz
6 0
4 years ago
A material that resists the flow of electrons is called a(n)
laila [671]
A material that resists the flow of electrons is called an insulator.
4 0
4 years ago
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A car traveling 75 km/h slows down at a constant 0.50 m/s2 just by "letting up on the gas." calculate (a) the distance the car c
Serjik [45]

Solution:

At 1st convert km/h to m/s. 1 km = 1000 m, 1 h = 3600 s, 1 km/m = 1000/3600 = 5/18 m/s  

Initial velocity = 75 * 5/18 = 20.8 m/s  

The car’s velocity decreases from 20.8 m/s to 0 m/s at the rate of 0.5 m/s each second. We have the final velocity, initial velocity, and the acceleration.  

Now according to the equation determine the distance.  

vf^2 = vi^2 + 2 * a * d  

a = -0.5 m/s^2  

0 = 20.8^2 + 2 * -0.5 * d  

so d = 431.64 m  

since we have the final velocity, initial velocity, and the acceleration. Use the following equation to determine time.  

vf = vi + a * t  

0 = 20.8 – 0.5 * t  

Solve for t = 41 seconds  

(c) the distance travels by it during the first and fifth second are.  

d = vi * t + ½ * a * t^2  

d1 = 20.8 * 1 – ½ * 0.5 * 1^2 = 20.55 m  

The easiest way to the distance for the 5th second is:

d = vi * t + ½ * a * t^2, a = -0.5  

d5 = 20.8 * 5 – ½ * 0.5 * 5^2 = 91.5 m  

d6 = 20.8 * 6 – ½ * 0.5 * 6^2 =  106.8m

d6 – d5 = 15.3 m  

this is the required solution.


3 0
3 years ago
For copper, ρ = 8.93 g/cm3 and M = 63.5 g/mol. Assuming one free electron per copper atom, what is the drift velocity of electro
viktelen [127]

Answer:

V_d = 1.75 × 10⁻⁴ m/s

Explanation:

Given:

Density of copper, ρ = 8.93 g/cm³

mass, M = 63.5 g/mol

Radius of wire = 0.625 mm

Current, I = 3A

Area of the wire, A = \frac{\pi d^2}{4} = A = \frac{\pi 0.625^2}{4}

Now,

The current density, J is given as

J=\frac{I}{A}=\frac{3}{ \frac{\pi 0.625^2}{4}}= 2444619.925 A/mm²

now, the electron density, n = \frac{\rho}{M}N_A

where,

N_A=Avogadro's Number

n = \frac{8.93}{63.5}(6.2\times 10^{23})=8.719\times 10^{28}\ electrons/m^3

Now,

the drift velocity, V_d

V_d=\frac{J}{ne}

where,

e = charge on electron = 1.6 × 10⁻¹⁹ C

thus,

V_d=\frac{2444619.925}{8.719\times 10^{28}\times (1.6\times 10^{-19})e} = 1.75 × 10⁻⁴ m/s

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3 years ago
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