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anzhelika [568]
3 years ago
6

Heat Transfer, Specific Heat. and CalorimetryA 1.28-kg sample of water at 10.0 "C is in a calorimeter. You drop a piece of steel

with a mass of 0.385 kg at 215 "C into it.After the sizzling subsides, what is the final equilibrium temperature? (Make the reasonable assumptions that any steamproduced condenses into liquid water during the process of equilibration and that the evaporation and condensation don’taffect the outcome. as we’ll see in the next section.)
Physics
1 answer:
GREYUIT [131]3 years ago
8 0

Answer:

T_f=16.975\ ^{\circ}C

Explanation:

Given:

  • mass of water, m_w=1.28\ kg
  • initial temperature of water, T_{iw}=10\ ^{\circ}C
  • mass of steel, m_s=0.385\ kg
  • initial temperature of steel, T_{is}=215\ ^{\circ}C
  • specific heat capacity of steel, c_s=490\ J.kg^{-1}.K^{-1}
  • specific heat capacity of water, c_w=4184\ J.kg^{-1}.K^{-1}

<u>Now by the law of conservation of energy, the heat released by the steel is equal to the heat absorbed by the water:</u>

Q_s=Q_w

m_s.c_s.(T_{is}-T_f)=m_w.c_w.(T_f-T_{iw})

0.385\times 490\times (215-T_f)=1.28\times 4184\times (T_f-10)

40559.75-188.65\times T_f=5355.52\times T_f-53555.2

T_f=16.975\ ^{\circ}C

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Since we need a torque of 55 N·m to loosen the nut and our lug wrench is 0.47 m long, that means that we need 55 N·m / 0.47 m = 117 N of usefully applied force in order to loosen the nut. This figure will be used for both possible angles.    
Ideally, the force will have a 0° degree difference from the normal and 100% of the force will be usefully applied. Any value greater than 0° will have the exerted force reduced by the cosine of the angle from the normal. Hence the term "cosine loss".     
If the angle of 48° is from the normal to the lug wrench, the usefully applied power will be:  
U = F*cos(48)  
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So solving for F and calculating gives:  
U = F*cos(48)  
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If the 48° is from the lug wrench itself, that means that the force is 90° - 48° = 42° from the normal. So doing the calculation again (this time from where we started plugging in values) we get  
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<em></em>

Answer:

1. The magnitude of the force from the spring on the object is zero on <em>Equilibrium.</em>

2. The magnitude of the force from the spring on the object is a maximum on <em>The top and bottom.</em>

3. The magnitude of the net force on the object is zero on <em>The Bottom.</em>

4. The magnitude of the force on the object is a maximum on <em>the Top.</em>

Explanation:

<em>1. Because the change in position delta X is zero.</em>

<em>2. Because of delta X.</em>

<em>3. Beacuse, the force of gravity and the force of the spring oppose each other to keep the block at rest, away from the equilibrium position.</em>

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A stone is thrown horizontally at 60.0 m/sm/s from the top of a very tall cliff. Calculate its horizontal position and vertical
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Answer:

X-Positions:                                         Y-Positions

x(0) = 0                                                   y(0) = 0

x(2) = 120 m                                           y(2) = 19.6 m

x(4) = 240 m                                          y(4) = 78.4 m

x(6) = 360 m                                          y(6) = 176.4 m

x(8) = 480 m                                          y(8) = 313 m

x(10) = 600m                                         y (10) = 490 m

Explanation:

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  • First, we choose to take the horizontal direction as our x-axis, and the positive x-axis as positive.
  • After being thrown, in the horizontal direction, no external influence acts on the stone, so it will continue in the same direction at the same initial speed of 60. 0 m/s
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       x = v_{ox} * t = 60.0 m/s * t(s)

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Y-Positions

  • We choose to take the vertical direction as our y-axis, taking the downward direction as our positive axis.
  • As both axes are  perpendicular each other, both movements are independent each other also, so, in the vertical direction, the stone starts from rest.
  • At any moment, it is subject to the acceleration of gravity, g.
  • As the acceleration is constant, we can find the vertical displacement (taking the  height of the cliff as the initial reference level), using the following kinematic equation:

       y = \frac{1}{2} * g* t^{2} = \frac{1}{2} * 9.8 m/s2 * t(s)^{2}

  • Replacing by the values of t, we get the following vertical positions, from the height of the cliff as y = 0:
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  • y(8) = 32*9.8 m/s2 = 313.6 m
  • y(10)= 50 * 9.8 m/s2 = 490.0 m
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3 years ago
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