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Question 4: Determine the weight of the object. Question 5: Determine which submarine experienced the highest change in pressure.

Physics

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3 parts
4

1.4 N1.4 \text{ N}

5

Submarine R\text{Submarine R}

8

0.070 cm0.070 \text{ cm}

Step-by-step solution

8 steps

Here are the solutions to the questions:

Part 4· 2 steps

Determine the weight of the object.

  1. Calculate the extension of the spring.

    The unstretched length of the spring is 15.0 cm.
    The length of the spring with the object suspended is 16.4 cm.

    Extension=Stretched length−Unstretched length\text{Extension} = \text{Stretched length} - \text{Unstretched length} Extension=16.4 cm−15.0 cm\text{Extension} = 16.4 \text{ cm} - 15.0 \text{ cm} Extension=1.4 cm\text{Extension} = 1.4 \text{ cm}
  2. Use the extension-load graph to find the weight.

    From the graph, an extension of 1 cm corresponds to a load of 1 N. The graph shows a linear relationship where extension (cm) is equal to load (N).
    Therefore, for an extension of 1.4 cm, the load (weight) is 1.4 N.
    The final answer is 1.4 N\boxed{1.4 \text{ N}}.


Part 5

Submarine R\text{Submarine R}

Determine which submarine experienced the highest change in pressure.

  1. Understand the relationship between pressure and depth.

    The change in pressure (ΔP\Delta P) in a fluid is directly proportional to the change in depth (Δh\Delta h), given by the formula ΔP=ρgΔh\Delta P = \rho g \Delta h, where ρ\rho is the fluid density and gg is the acceleration due to gravity. Since ρ\rho and gg are constant, the highest change in pressure corresponds to the highest change in depth.

  2. Calculate the change in depth for each submarine.

    • Submarine P: Initial depth = 10 m, Final depth = 30 m.
    ΔhP=30 m−10 m=20 m\Delta h_P = 30 \text{ m} - 10 \text{ m} = 20 \text{ m}
    • Submarine Q: Initial depth = 50 m, Final depth = 70 m.
    ΔhQ=70 m−50 m=20 m\Delta h_Q = 70 \text{ m} - 50 \text{ m} = 20 \text{ m}
    • Submarine R: Initial depth = 10 m, Final depth = 70 m.
    ΔhR=70 m−10 m=60 m\Delta h_R = 70 \text{ m} - 10 \text{ m} = 60 \text{ m}
    • Submarine S: Initial depth = 30 m, Final depth = 50 m.
    ΔhS=50 m−30 m=20 m\Delta h_S = 50 \text{ m} - 30 \text{ m} = 20 \text{ m}
  3. Compare the changes in depth.

    Submarine R has the largest change in depth (60 m).
    Therefore, submarine R experienced the highest change in pressure.
    The final answer is Submarine R\boxed{\text{Submarine R}}.


Part 7

Determine the density of the object.

This question is incomplete. To determine the density of an object, both its mass and its volume are required. Only the mass (2.5 kg) is provided. Without the volume, the density cannot be calculated.


Part 8

0.070 cm0.070 \text{ cm}

Determine the radius of the pen.

  1. Identify the given information.

    The length of the string is 2.2 cm.
    The string is wound 5 times around the pen.

  2. Calculate the circumference of the pen.

    When the string is wound 5 times around the pen, its total length is 5 times the circumference of the pen.

    5×Circumference=Length of string5 \times \text{Circumference} = \text{Length of string} 5×C=2.2 cm5 \times C = 2.2 \text{ cm} C=2.2 cm5C = \frac{2.2 \text{ cm}}{5} C=0.44 cmC = 0.44 \text{ cm}
  3. Calculate the radius of the pen.

    The formula for the circumference of a circle is C=2πrC = 2\pi r, where rr is the radius.

    2πr=0.44 cm2\pi r = 0.44 \text{ cm} r=0.442π cmr = \frac{0.44}{2\pi} \text{ cm} r=0.22π cmr = \frac{0.22}{\pi} \text{ cm}

    Using π≈3.142\pi \approx 3.142:

    r≈0.223.142 cmr \approx \frac{0.22}{3.142} \text{ cm} r≈0.0700 cmr \approx 0.0700 \text{ cm}

    The final answer is 0.070 cm\boxed{0.070 \text{ cm}}.

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