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Svetach [21]
3 years ago
15

To hide their loot, thieves put the 1.20 kg gold that they had robbed into a small box and threw it in a lake. The mass of the e

mpty box was 400 grams, and the dimension 12cm3 . When the box is closed with the gold inside it, it is well seated so that water dont enter it. To their surprise, the box floated on the water. Calculate the distance from the bottom of the box to the water level (i.e. how many cm is it inside the water?)
Density: water = 1 g/cm3 = 100 kg/m3 ----------- Gold = 19.3 g/cm3 19,300 kg/m3
Physics
1 answer:
Dmitry [639]3 years ago
3 0

Answer:

11.1 cm

Explanation:

Let d be the depth upto which box dipped into water.

Volume of water displaced

.12\times .12\times d m^3\\

=.0144d

Weight of water displaced = upthrust

=.0144d\times 10^3\times g\\    [ density of water is 1000kg /m³]

=14.4dg This will act upwards.

Total downward force = 1.2 +.4 = 1.6 g

For equilibrium

1.6g = 14.4 gd

d = .111 m

=11.1 cm.

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Estimate how fast your hair grows, in units of m/s, assuming it takes 30 days for your hair to grow 1 inch. note that 1 inch =2.
dedylja [7]

Answer:

1) 9.8×10⁻⁹ m/s

2) 50970.3238656 L

Explanation:

1) In 30 days hair grows 1 inch

1 inch = 2.54 cm

1 cm = 0.01 m

2.54 cm = 2.54 × 0.01 m

⇒2.54 cm = 0.0254 m

30 days = 30×24×60×60 = 2592000 seconds

Speed = Distance / Time

\text{Speed}=\frac{0.0254}{2592000}=9.8\times 10^{-9}\ m/s

Speed at which hair grows is 9.8×10⁻⁹ m/s

2) 1 ft = 0.3048 m

0.3048 m = 30.48 cm

1 ft = 30.48 cm

15 ft = 15×30.48 = 457.2 cm

8 ft = 8×30.48 = 243.84 cm

Volume of water in pool = Length × Width × Depth

⇒Volume of water in pool = 457.2×457.2×243.84

⇒Volume of water in pool = 50970323.8656 cm³

or

Volume of water in pool = 15×15×8 = 1800 ft³

1 ft³ = 30.48³ cm³

1800 ft³ = 30.48³ × 1800 = 50970323.8656 cm³

Converting to liters

1 L = 1000 cm³

0.001 L = 1 cm³

50970323.8656 cm³ = 50970323.8656×0.001 = 50970.3238656 L

Volume of water in pool is 50970.3238656 L

6 0
3 years ago
Suppose the spark plug on a heat engine is not functioning properly which statement best explains how this will affect the engin
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Answer:

B. Burned gas...

Explanation:

7 0
3 years ago
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The frequency of violet light is 7.5x10 to the 14th power hertz. What is the wavelength?
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Wavelength times frequency = speed of light
7.5E14 x wavelength = 300,000 m/s

Wavelength in meters = 300,000 divided by 7.5E14
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Two students on ice skates stand one behind the other. Student 2 pushes student 1 in the back; both students move away from each
Hatshy [7]

Answer:

forcing in act

Explanation:

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3 years ago
A 23 g bullet traveling at 230 m/s penetrates a 2.0 kg block of wood and emerges cleanly at 170 m/s. If the block is stationary
Ann [662]

The distance traveled by the wood after the bullet emerges is 0.16 m.

The given parameters;

  • <em>mass of the bullet, m = 23 g = 0.023 g</em>
  • <em>speed of the bullet, u = 230 m/s</em>
  • <em>mass of the wood, m = 2 kg</em>
  • <em>final speed of the bullet, v = 170 m/s</em>
  • <em>coefficient of friction, μ = 0.15</em>

The final velocity of the wood after the bullet hits is calculated as follows;

m_1u_1 + m_2 u_2 = m_1v_1 + m_2v_2\\\\0.023(230) + 2(0) = 0.023(170) + 2v_2\\\\5.29 = 3.91 + 2v_2\\\\2v_2 = 1.38\\\\v_2 = \frac{1.38}{2} = 0.69 \ m/s

The acceleration of the wood is calculated as follows;

\mu = \frac{a}{g} \\\\a = \mu g\\\\a = 0.15 \times 9.8\\\\a = 1.47 \ m/s^2

The distance traveled by the wood after the bullet emerges is calculated as follows;

v^2 = v_0^2 + 2as\\\\v^2 = 0 + 2as\\\\v^2 = 2as\\\\s = \frac{v^2}{2a} \\\\s = \frac{(0.69)^2}{2(1.47)} \\\\s = 0.16 \ m

Thus, the distance traveled by the wood after the bullet emerges is 0.16 m.

Learn more here:brainly.com/question/15244782

7 0
3 years ago
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