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34kurt
3 years ago
11

A 5.0-g marble is released from rest in the deep end of a swimming pool. An underwater video reveals that its terminal speed in

the water is 0.30 m/s. (a) What is the acceleration of the marble at the instant it is released? (b) What is the acceleration of the marble when it has reached its terminal speed? (c) How long does it take the marble to reach half its terminal speed?
Physics
1 answer:
Temka [501]3 years ago
3 0

Answer:

a) a = -g = 9.8 m/s² , b) a = 0 m/s² and c)   t1 = 0.0213 s

Explanation:

a) At the moment the marble is released its velocity is zero, so it has no resistance force, the only force acting is its weight, so the acceleration is the acceleration of gravity

       a = -g = 9.8 m / s²

b) When the marble goes its terminal velocity all forces have been equalized, therefore, the sum of them is zero and consequently if acceleration is also zero

      a = 0 m / s²

c) We have to assume a specific type of resistive force, for liquid in general the resistive force is proportional to the speed of the body.

The expression of this situation is

         v = mg / b (1 -e^{-bt/m} )

For a very long time the exponential is zero, so the terminal velocity is

        v_{T} = mg / b

        b = mg /  v_{T}

        b = 5 10-3 9.8 / 0.3

        b = 0.163

We already have all the data to calculate the time for v = ½ v_{T}

        ½ v_{T} = v_{T} (1 -e^{-bt/m})

        ½ = 1- e (- 0.163 t1 / 5 10-3)

        e (-32.6 t1) = 1-0.5              (by  ln())

       -32.6 t1 = ln 0.5

       t1 = -1 / 32.6 (-0.693)

       t1 = 0.0213 s

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7 0
2 years ago
THIS IS A SCIENCE QUESTION, sorry if it says physics, this is middle school science
Black_prince [1.1K]

Answer:

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3 years ago
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Answer:

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3 years ago
If a projectile hits a stationary target, and the projectile continues to travel in the same direction, the mass of the projecti
nika2105 [10]

The correct arrangement of the question is;

If a projectile hits a stationary target, and the projectile continues to travel in the same direction,

A) the mass of the projectile is less than the mass of the target.

B) the mass of the projectile is equal to the mass of the target.

C) the mass of the projectile is greater than the mass of the target.

D) nothing can be said about the masses of the projectile and target without further information.

E) this is an unphysical situation and will not actually happen.

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Option C: The mass of the projectile is greater than the mass of the target.

Explanation:

We want to find what will happen when a projectile continues in motion after it hits a target.

Now, for the projectile to keep moving in that direction after it hits the target, it means it had a force bigger than the force of the target to overpower it and force it to move with it.

Now, from law of inertia, Force = ma.

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Answer:

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If the color of the red light from the two bulbs is the same, those two bulbs must emit light at the same frequency: f_{1} = f_{2}.

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