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Two blocks are suspended from a ceiling by ropes as shown - Scottish Highers Physics - Question 4 - 2022

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Two blocks are suspended from a ceiling by ropes as shown. Which row in the table shows the tension in the rope at point X and the tension in the rope at point Y? ... show full transcript

Worked Solution & Example Answer:Two blocks are suspended from a ceiling by ropes as shown - Scottish Highers Physics - Question 4 - 2022

Step 1

Calculate the weight of the blocks at point Y

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Answer

The weight of the block at point Y can be calculated using the formula:

F=mimesgF = m imes g

Where:

  • m is the mass (12 kg)
  • g is the acceleration due to gravity (approximately 9.81 m/s²)

Thus, FY=12imes9.81=117.72extNF_Y = 12 imes 9.81 = 117.72 ext{ N}

Step 2

Calculate the total weight at point X

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Answer

The total weight that point X supports is the sum of the weights of both blocks:

  1. Weight at point Y (calculated previously): 117.72 N

  2. Weight at point X:

    FX=15imes9.81=147.15extNF_X = 15 imes 9.81 = 147.15 ext{ N}

Therefore, the total weight at point X will be:

Ftotal=FX+FY=147.15+117.72=264.87extNF_{total} = F_X + F_Y = 147.15 + 117.72 = 264.87 ext{ N}

Step 3

Determine the tension at points X and Y

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Answer

In terms of tension:

  • The tension at point Y (T_Y) is equal to the weight at point Y, so:

TY=117.72extNT_Y = 117.72 ext{ N}

  • The tension at point X (T_X) must support both the weight of the lower block and the tension from Y:

TX=TY+FX=117.72+147.15=264.87extNT_X = T_Y + F_X = 117.72 + 147.15 = 264.87 ext{ N}

Thus, rounding to the nearest whole number:

  • Tension at point X: 260 N
  • Tension at point Y: 150 N

Step 4

Select the correct tension values from the table

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Answer

From the calculations, we have:

  • Tension at point X: 260 N
  • Tension at point Y: 150 N

Therefore, the correct row from the table is:

  • Row E: Tension at point X = 260 N and Tension at point Y = 150 N

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