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natali 33 [55]
3 years ago
11

An ice cube at 0c was dropped into 30.0 g of water in a cup at 45.0c. at the instant that all of the ice was melted, the tempera

ture of the water in the cup was 19.5c. what was the mass of ice cube?
Physics
1 answer:
Ede4ka [16]3 years ago
3 0
The amount of heat given by the water to the block of ice can be calculated by using
Q=m_w C_{sw} \Delta T_w
where 
m_w = 30 g is the mass of the water
C_{sw}=4.18 J/(g ^{\circ}C) is the specific heat capacity of water
\Delta T_w = 45.0^{\circ}-19.5^{\circ}C = 20.5^{\circ}C is the variation of temperature of the water.

Using these numbers, we find
Q=(30 g)(4.18 J/(g^{\circ}C))(20.5^{\circ}C)=2571 J

This is the amount of heat released by the water, but this is exactly equal to the amount of heat absorbed by the ice, used to melt it into water according to the formula:
Q = m_i L_f
where m_i is the mass of the ice while L_f =334 J/g is the specific latent heat of fusion of the ice.
Re-arranging this formula and using the heat Q that we found previously, we can calculate the mass of the ice:
m_i =  \frac{Q}{L_f}= \frac{2571 J}{334 J/g} =7.7 g
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Vilka [71]
There are some missing data in the text of the problem. I've found them online:
a) coefficient of friction dry steel piston - steel cilinder: 0.3
b) coefficient of friction with oil in between the surfaces: 0.03

Solution:
a) The force F applied by the person (300 N) must be at least equal to the frictional force, given by:
F_f = \mu N
where \mu is the coefficient of friction, while N is the normal force. So we have:
F=\mu N
since we know that F=300 N and \mu=0.3, we can find N, the magnitude of the normal force:
N= \frac{F}{\mu}= \frac{300 N}{0.3}=1000 N

b) The problem is identical to that of the first part; however, this time the coefficienct of friction is \mu=0.03 due to the presence of the oil. Therefore, we have:
N= \frac{F}{\mu}= \frac{300 N}{0.03}=10000 N
8 0
3 years ago
You connect five identical resistors in series to a battery whose EMF is 12.0 V and whose internal resistance is negligible. You
neonofarm [45]

Answer:

Explanation:

Total resistance in the circuit

= EMF / current in the circuit

= 12 / .969

= 12.383 ohm

This resistance consists of 5 identical resistances in series

resistance of each resistor

= 12.383 / 5

= 2.476 ohm .

potential difference on each

= current x resistance of each

= .969 x 2.476

= 2.399 V

= 2.4 V

4 0
3 years ago
In a darkened room, a burning candle is placed 1.84 m from white wall. A lens is placed between candle and wall at a location th
KATRIN_1 [288]

Answer:

82.4 cm

Explanation:

The object and screen are kept fixed ie the distance between them is fixed and by displacing lens between them images are formed on the screen . In the first case let u be the object distance and v be the image distance

then ,

u + v = 184 cm

In the second case of image formation , v becomes u and u becomes v only then image formation in the second case is possible.

The difference between two object distance ie(  v - u ) is the distance by which lens is moved so

v - u = 82.4 cm

7 0
3 years ago
A train travels 70 kilometers in 1 hours, and then 63 kilometers in 2 hours. What is its average speed?
lozanna [386]
The answer is:  " 44 \frac{1}{3} km " ; 
                              or; write as:  " 44.333 km " .
___________________________________________________________
Explanation:
___________________________________________________________
(70 km + 63 km) ÷ (2 + 1 ) =  133 km ÷ 3 =  " 44 \frac{1}{3} km "  ; 
                                                                            or; write as:  " 44.333 km " .
___________________________________________________________
3 0
3 years ago
Where is the safest spot in the house during a tornado, hail storm, and earthquake? Include separate answers.
USPshnik [31]

Answer:

Explanation:

in a room with no windows that way it doesnt shatter. Usually a closet... or if you have a basement.sorry but that applies to all them

4 0
3 years ago
Read 2 more answers
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