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6. (a) Figure 11 shows a person doing a push-up exercise - Edexcel - GCSE Physics - Question 6 - 2023 - Paper 2

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6. (a) Figure 11 shows a person doing a push-up exercise. An upward force is used to cause rotation about a pivot. Which row of the table is correct for this rotat... show full transcript

Worked Solution & Example Answer:6. (a) Figure 11 shows a person doing a push-up exercise - Edexcel - GCSE Physics - Question 6 - 2023 - Paper 2

Step 1

An upward force is used to cause rotation about a pivot. Which row of the table is correct for this rotation?

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Answer

The correct row for the upward force and pivot in a push-up exercise is: A: arms provide the upward force, hands act as a pivot. This is because during a push-up, the arms are exerting an upward force while the hands remain fixed on the ground, allowing rotation about the elbow joint.

Step 2

Use the principle of moments to show that the system shown in Figure 13 is in equilibrium.

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Answer

To demonstrate equilibrium using the principle of moments, we will set the clockwise moments equal to the counterclockwise moments. In Figure 13:

  1. Calculate the moment due to the weight of the forearm:

    ext{Moment} = ext{force} imes ext{distance} = 23 ext{ N} imes 16 ext{ cm} = 368 ext{ Ncm}

  2. Calculate the moment due to the biceps force:

    ext{Moment} = 92 ext{ N} imes 4 ext{ cm} = 368 ext{ Ncm}

  3. Total clockwise moments:

    ext{Total Moments} = 368 ext{ Ncm} + 480 ext{ Ncm} = 848 ext{ Ncm}

Thus, since the total moments are equal, the system is in equilibrium.

Step 3

Calculate the force from the muscle that is needed to keep the system in Figure 14 in equilibrium.

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Answer

To find the force from the muscle to keep the system in equilibrium:

  1. Calculate the moment due to the ball:

    ext{Moment} = ext{weight of ball} imes ext{distance} = 15 ext{ N} imes 32 ext{ cm} = 480 ext{ Ncm}

  2. Total clockwise moment:

    ext{Total Moments} = 480 ext{ Ncm} + 368 ext{ Ncm} = 848 ext{ Ncm}

  3. Calculate the needed muscle force using the distance from the elbow joint:

    ext{Force} = rac{ ext{Total Moments}}{ ext{distance}} = rac{848 ext{ Ncm}}{4 ext{ cm}} = 212 ext{ N}

Therefore, the required muscle force is 212 N.

Step 4

Compare the upthrust on the ball in seawater with the upthrust on the same ball in fresh water.

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Answer

The upthrust exerted on the ball is greater in seawater than in fresh water because seawater is denser than fresh water. As a result, the buoyant force, which depends on the volume of fluid displaced, is higher in seawater.

Step 5

Explain why there is less of the ball below the surface of the seawater than below the surface of the fresh water.

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Answer

This occurs due to the density differences between seawater and fresh water. Sea water has a higher density, resulting in a greater upthrust for the same volume of displaced water. Consequently, a ball floating in seawater displaces less volume compared to when it is in fresh water, leading to less of the ball being submerged below the surface of the seawater.

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