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nalin [4]
3 years ago
6

A graduated cylinder contains 155 ml of water. a 15.0-g piece of iron (density = 7.86 g/ml) and a 20.0-g piece of lead (density

= 11.3 g/ml) are added. what is the new water level, in milliliters, in the cylinder?
Physics
1 answer:
Tresset [83]3 years ago
6 0

Initial volume of water is 155 mL. Convert the mass of iron and lead into volume using density values as follows:

d=\frac{m}{V}

Here, d is density, m is mass and V is volume of objects

volume of  piece of iron can be calculated as:

V=\frac{m}{d}=\frac{15 g}{7.86 g/mL}=1.90 mL

Similarly, volume of lead can be calculated as:

V=\frac{m}{d}=\frac{20 g}{11.3g/mL}=1.77 mL

To calculate the final volume of water, volume of both iron and lead should be added to the initial volume of water.

V_{final}=V_{initial}+V_{iron}+V_{lead}=155 mL+1.90 mL+1.77mL=158.67 mL

Thus, new water level in milliliters will be 158.67 mL.


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In Example 2.12, two circus performers rehearse a trick in which a ball and a dart collide. Horatio stands on a platform 6.4 m a
pickupchik [31]

Answer:

time of collision is

t = 0.395 s

h = 5.63 m

so they will collide at height of 5.63 m from ground

Explanation:

initial speed of the ball when it is dropped down is

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similarly initial speed of the object which is projected by spring is given as

v_2 = 16.2 m/s

now relative velocity of object with respect to ball

v_r = 16.2 m/s

now since we know that both are moving under gravity so their relative acceleration is ZERO and the relative distance between them is 6.4 m

d = v_r t

6.4 = 16.2 t

t = 0.395 m

Now the height attained by the object in the same time is given as

h = v_2 t - \frac{1}{2}gt^2

h = 16.2(0.395) - \frac{1}{2}(9.81).395^2

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4 0
3 years ago
Light-rail passenger trains that provide transportation within and between cities are capable of modest accelerations. The magni
Mkey [24]
During the first phase of acceleration we have:
v o = 4 m/s;  t = 8 s; v = 13 m/s, a = ?
v = v o + a * t
13 m/s = 4 m / s + a * 8 s
a * 8 s = 9 m/s
a = 9 m/s : 8 s
a = 1.125 m/s²
The final speed:
v = ?;  v o = 13 m/s; a = 1.125 m/s² ;  t = 16 s
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A 1-kg iron frying pan is placed on a stove. The pan increases from 20°C to 250°C. If the same amount of heat is added to a pan
Nesterboy [21]

Answer;

The temperature change for the second pan will be lower compared to the temperature change of the first pan

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This means; the quantity of heat depends on the mass, specific heat capacity of a substance and also the change in temperature.

-Maintaining the same quantity of heat, with another pan of the same mass and greater specific heat capacity would mean that the change in temperature would be much less lower.

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