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svet-max [94.6K]
3 years ago
15

330 g of water at 55°c are poured into an 855 g aluminum container with an initial temperature of 10°

Physics
1 answer:
Olenka [21]3 years ago
3 0
The final temperature of the system is 32.5°
we know,  H = mcT 
where, H = Heat content of the body 
m = Mass,
c = Specific heat
T = Change in temperature
According to to the Principle of Calorimetry 

The net heat remains constant i.e. 
⇒ the heat given by water = heat accepted by the aluminum container.
⇒ 330 x 1 x (45 - T) = 855 x \frac{900}{4200} x (T - 10) 

⇒ 14,850 - 330T = 183.21T  - 1832 

⇒ - 513.21 T = - 16682

or T = 32.5°
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D.

Explanation:

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Temka [501]

Answer: F=28.936 kg/m s^{2}

Explanation:

According to the given information (and figure attached), the block with mass m=10 kg has the following forces acting on it:

In the X component:

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Where:

F is the applied force directed 30\° above the horizontal

F_{s}=\mu_{s} N (2) is the force of static friction (which is equal to the coefficient of static friction \mu_{s}=0.3 and the Normal force N

In the Y component:

F sin(30\°) + N - W=0 (3)

Where W=m.g is the weight (the force of gravity) which is proportional to the multiplication of the mass m and gravity g=9.8 m/s^{2}  

Let’s begin by combining (1) and (2):

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Isolating N from (3):

N=mg – F sin(30\°) (5)

Substituting (5) in (4):

F cos(30\°) - \mu_{s} (mg – F sin(30\°))=0 (6)

F cos(30\°) - \mu_{s} mg + \mu_{s} F sin(30\°))=0  

((cos(30\°) +\mu_{s} sin(30\°)) F - \mu_{s}mg =0  

Isolating F:

F=\frac{\mu_{s}mg}{(cos(30\°) +\mu_{s} sin(30\°)} (7)

F=\frac{(0.3)(10 kg)(9.8 m/s^{2})}{(cos(30\°) + 0.3 sin(30\°)}  

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F=28.936 N=8.936 kgm/s^{2} (8) This is the necessary force to overcome static friction and move the block

We can prove it by finding F_{s} and verifying it is less than F:

Substituting (8) in (1):

8.936 kgm/s^{2}cos(30\°) - F_{s}=0 (9)

F_{s}=25.059 kgm/s^{2} (10) This is the static friction force

As we can see F_{s} < F

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