Two blocks are suspended from a ceiling by ropes as shown - Scottish Highers Physics - Question 4 - 2022
Question 4
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?
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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=mimesg
Where:
m is the mass (12 kg)
g is the acceleration due to gravity (approximately 9.81 m/s²)
Thus,
FY=12imes9.81=117.72extN
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:
Weight at point Y (calculated previously): 117.72 N
Weight at point X:
FX=15imes9.81=147.15extN
Therefore, the total weight at point X will be:
Ftotal=FX+FY=147.15+117.72=264.87extN
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=117.72extN
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=264.87extN
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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