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Figure 21 shows a pulley system that enables a person to lift a heavy barrel - Edexcel - GCSE Physics - Question 9 - 2023 - Paper 2

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Figure 21 shows a pulley system that enables a person to lift a heavy barrel. The person pulls down on the rope to make the barrel rise through 1.2 m. The work done... show full transcript

Worked Solution & Example Answer:Figure 21 shows a pulley system that enables a person to lift a heavy barrel - Edexcel - GCSE Physics - Question 9 - 2023 - Paper 2

Step 1

Calculate the weight of the barrel.

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Answer

To find the weight of the barrel, we can use the formula for work done, which is given by:

extworkdone=extforceimesextdistance ext{work done} = ext{force} imes ext{distance}

Here, the work done against gravity is 1800 J and the distance the barrel is raised is 1.2 m. Rearranging the equation for force gives:

extforce=extworkdoneextdistance=1800extJ1.2extm=1500extN ext{force} = \frac{ ext{work done}}{ ext{distance}} = \frac{1800 ext{ J}}{1.2 ext{ m}} = 1500 ext{ N}

Thus, the weight of the barrel is 1500 N.

Step 2

Calculate the total work done by the person.

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Answer

Using the efficiency equation, we have:

extefficiency=(extworkdoneagainstgravityexttotalworkdonebytheperson)×100 ext{efficiency} = \left(\frac{ ext{work done against gravity}}{ ext{total work done by the person}}\right) \times 100

Given that the efficiency is 64% and the work done against gravity is 1800 J, we rearrange the equation to find the total work done:

exttotalworkdonebytheperson=extworkdoneagainstgravityextefficiency/100=1800extJ0.642812.5extJ ext{total work done by the person} = \frac{ ext{work done against gravity}}{ ext{efficiency}/100} = \frac{1800 ext{ J}}{0.64} \approx 2812.5 ext{ J}

Therefore, the total work done by the person is approximately 2812.5 J.

Step 3

Suggest another reason why some energy is wasted in using this pulley system.

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Answer

Another reason energy is wasted in the pulley system could be due to the tension in the rope or the presence of additional masses in the system. For example, the bottom pulley and rope may have their own mass, contributing to energy losses in the form of stretching or resistance.

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