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Question 6
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
Step 1
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
Answer
To demonstrate equilibrium using the principle of moments, we will set the clockwise moments equal to the counterclockwise moments. In Figure 13:
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}
Calculate the moment due to the biceps force:
ext{Moment} = 92 ext{ N} imes 4 ext{ cm} = 368 ext{ Ncm}
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
Answer
To find the force from the muscle to keep the system in equilibrium:
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}
Total clockwise moment:
ext{Total Moments} = 480 ext{ Ncm} + 368 ext{ Ncm} = 848 ext{ Ncm}
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
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
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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