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I am Lyosha [343]
3 years ago
7

A boy sits motionless partway down a playground slide. The force of friction balances the force of gravity. A girl hands the boy

a book. Why does the boy still not move? A. Holding the book does not effectively increase the mass of the boy. B. Newton's first law of motion does not apply because the boy is at rest. C. The force of friction and the force due to gravity increase together. Friction and gravity are still balanced. D. The mass of the book cancels out part of the mass of the boy.
Physics
1 answer:
DanielleElmas [232]3 years ago
5 0

C.  

The force of friction = coefficient of friction * normal force.  

Adding the book to the boy increases the normal force and the component of the gravitational force directed down the slide.  This in turn increases the force of friction as can be seen by the relationship from the above equation.  For a stationary object, the force of static friction is always equal to the force applied (in this case, it is the component of the gravitational force directed down the slide).  That means that so long as the boy is not moving and his mass increases, the frictional force is increasing also to balance the increased downward gravitation force directed down the slide.

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Well, I'll try to write the formula in a way that's not confusing,
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     Multiply something by 10  ==>  it increases by 10 dB.
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It turns out that another way to write all of this is . . .

     An increase of 10 dB ===> multiply the original amount by 10¹ 
     An increase of 20 dB ===> multiply the original amount by 10²
     An increase of, say, 7 dB ===> multiply the original amount by 10⁰·⁷

     A decrease of 10 dB ===> multiply the original amount by 10⁻¹
     A decrease of 30 dB ===> multiply the original amount by 10⁻³
     A decrease of, say, 13 dB ===> multiply the original amount by 10⁻¹·³

This question says:  The sound increases by  5 dB .

That means the original 'intensity' or 'power' of the sound
is multiplied by
                           10⁰·⁵  =  √10  =  about 3.162 (rounded) . 

From the choices listed, the closest one is  (c).
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Answer:

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Specific heat capacity of water = 76.0 J/ mol °C

Ice at -12 °C is converted to ice at 0 °C by absorbing heat Q₁

Ice at 0°C melts to water at 0 °C. Let Heat  absorbed during this phase change be Q₂ .

Let heat  absorbed to raise the temperature of water from 0 C to 24°C be Q₃ .

Total heat = Q = Q₁ + Q₂ + Q₃

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Q₂ =(5.53 g/18.01532 g H₂O / mol ) (6.02 x10³ j) = 1847.905 j

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Total Heat required = Q = 139.23749 j + 1847.905 j + 559.8968 j

= 2547.039 j = 2.55 × 10³ J =2.55 kJ

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