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‘n Man beland in die moeilikeid terwyl hy in ’n dam swem - NSC Physical Sciences - Question 2 - 2022 - Paper 1

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‘n Man beland in die moeilikeid terwyl hy in ’n dam swem. Tydens die reddingsoperasie word ‘n oposgeblaste binneband met ‘n tou aan ‘n helikopter vasgemaak, sodat di... show full transcript

Worked Solution & Example Answer:‘n Man beland in die moeilikeid terwyl hy in ’n dam swem - NSC Physical Sciences - Question 2 - 2022 - Paper 1

Step 1

Stel Newton se Eerste Beweegswet in woorde.

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Answer

Newton's First Law states that a body will remain at rest or in uniform motion in a straight line unless acted upon by a net external force.

Step 2

Teken ‘n vrye kragdiagram (vrye liggaamdiagram) van die man-binnekombinasie terwyl hulle gesleep word.

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Answer

In the free body diagram for the man-binnekombinasie, the forces acting include the weight of the man, the tension in the tou, and the wringingskrag from the water. The weight acts downwards, while the tension acts along the line of the tou forming an angle of 50° with respect to the horizontal.

Step 3

Bereken die spanning in die tou.

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Answer

Using Newton's second law, the net force in the y-direction, where the tension (T) and the weight (mg) act, can be equated. If we assume a downward acceleration of the combined mass, we can establish:

Fnet=maF_{net} = m a

Where:

  • m=70kg+4kgm = 70 kg + 4 kg
  • aa can be derived from the forces acting on the system.

Using the equation:

Fnet=TmgF_{net} = T - mg

We can calculate tension after determining the net forces at play.

Step 4

Hoe sal die antwoord op VRAAG 2.3 verander indien die helikopter VERSNEL terwyl dit die man sleep? Die wringingskrag en die hoekk tussen die tou en die water se oppervlak bly dieselfde.

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Answer

If the helicopter accelerates while pulling the man, the tension in the tou would INCREASE. This is because an additional net force (due to acceleration) must be accounted for in the force balance, necessitating a greater tension to overcome the increased force required to maintain this acceleration.

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