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schepotkina [342]
3 years ago
6

A ball is dropped from an initial height and allowed to bounce repeatedly. On the first bounce (one up-and-down motion), the bal

l reaches a height of 32 inches. On each successive bounce, the ball reaches 75% of its previous height. What is the total vertical distance that the ball travels in 10 bounces? (Do not include the initial height from which the ball is dropped.)
Physics
1 answer:
mojhsa [17]3 years ago
6 0

Answer:

S₁₀ = 241.5837 m

Explanation:

If

h₁ = 2*32 in = 64 in

h₂ = 0.75*h₁ = (0.75)*64 in = 48 in

h₃ = 0.75*h₂ = 0.75*(0.75*h₁) = (0.75)²*h₁ = (0.75)²*64 in = 36 in

h₄ = 0.75*h₃ = 0.75*(0.75*h₁) = (0.75)³*h₁ = (0.75)³*64 in = 27 in

...

h₁₀ = 0.75*h₉ = (0.75)⁹*h₁ = (0.75)⁹*64 in = 4.8054 in

It is a geometric sequence (geometric progression) where the common ratio is

r = 0.75

Finding the sum of terms in a geometric progression is easily obtained by applying the formulas:

10<em>th</em> partial sum of a geometric sequence

S₁₀ = h₁*(1 - r¹⁰) / (1 - r)

⇒   S₁₀ = 64*(1 - 0.75¹⁰) / (1 - 0.75)

⇒   S₁₀ = 241.5837 m

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Answer:

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3 years ago
. A solenoid coil consists of a single layer of 250 circular turns of wire with each turn having a 0.02m radius. The axial lengt
Vinil7 [7]

Answer:

a)    L = 3.29 10⁻⁴ H,  b)U = 5.33 10⁻²  J

Explanation:

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The magnetic field inside the solenoid is

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hence the magnetic flux

          Ф_B = B. A = μ₀ \frac{N \ A}{l \ i}

we substitute in the expression of inductance

          L = N² μ₀ A /l

let's find the area of ​​each turn

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let's calculate

          L = 250² 4π 10⁻⁷ 1.2566 10⁻² / 0.3

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In a certain region of space, the electric potential is V(x,y,z)=Axy-Bx^2+Cy , where A,B , and C are positive constants.a) Calcu
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Answer:

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Explanation:

The electric field and the electric power are related

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a) Let's find the electric field on the x axis

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