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gulaghasi [49]
4 years ago
14

A solid sphere is released from height h from the top of an incline making an angle θ with the horizontal. (a) Calculate the spe

ed of the sphere when it reaches the bottom of the incline in the case that it rolls without slipping. (Use any variable or symbol stated above along with the following as necessary: g for the acceleration of gravity.)
Physics
1 answer:
Natali [406]4 years ago
5 0

Answer:

v =√ (gh/.700)

Explanation:

As per the conservation of mechanical energy,

( K+ U)i = ( K+U)f

where i is the initial energy and f is the final energy.

Kinetic energy, K(i) at top = 0

when call will reach the bottom , U(f) = 0

U(i) = mgh

K(f) = 1/2 (mv²) + 1/2 I ω²

For solid sphere , I = 2/5 m R²

and  ω = v/R

so , K = 1/2 mv² + 1/2*2/5*m*R^2*v^2/R^2

     K = .700 mv²

now .700mv² = mgh

                  v =√ (gh/.700)

                 

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Hope this helps! :)

8 0
3 years ago
When two waves in the same medium hit each other, the resulting displacement of the medium is
Irina-Kira [14]

Answer:

1. Either larger or smaller than the displacement of either wave acting alone, depending on the signs of the displacements of the two waves.

7 0
4 years ago
a wire of a certain material has resistance r and diameter d a second wire of the same material and length is found to have resi
777dan777 [17]

Answer:

<h2>d₂ = 3d</h2><h2>The diameter of the second wire is 3 times that of the initial wire.</h2>

Explanation:

Using the formula for calculating the resistivity of an object to find the diameter.

Resistivity P = RA/L

R is the resistance of the material

A is the cross sectional area

L is the length of the material

Since A = πd²/4

P = R( πd²/4)/L

P = Rπd²/4L ... 1

If the second wire of the same material and length is found to have resistance R/9, the resistivity of the second material will be;

P₂ = (R/9)A₂/L₂

P₂ = (R/9)(πd₂²/4)/L₂

P₂ = (Rπd₂²/36)/L₂

P₂ = (Rπd₂²)/36L₂

Since the length and resistivity are the same;

P = P₂  and L =L₂

Equating 1 and 2;

Rπd²/4L =  (Rπd₂²)/36L₂

Rπd²/4L =  (Rπd₂²)/36L

d² = d₂²/9

d₂² = 9d²

Taking the square root of both sides;

√d₂² = √9d²

d₂ = 3d

Therefore the diameter of the second wire is 3 times that of the initial wire

5 0
4 years ago
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prisoha [69]

Answer:

Light passes through the gas

Light passes through the pure water

Light passes through some solids

Explanation:

In gasses, there are many spaces between the molecules. These spaces allow light to pass through them without any interruption.

In pure water, there are some spaces between particles. these particles allow some light rays to pass theough, some to move through the common boundary and reflec5 some of them.

in solids, some allow light to pass through as they are transparent or translucent

4 0
3 years ago
How much time would it take for the sound of thunder to travel 1500 meters if sound travels at a speed of 330 m/s
Elis [28]

Data given:

Δx=1500m

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t=?

Formula:

V=Δx/t

Solution:

t=1500m/330m/s

t=4.5s

7 0
3 years ago
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