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The muscle power in watts per kg is calculated using the following equation: muscle power = \( 9.8 \times \text{jump height} \div \text{time} \) One volunteer has a muscle power of 41 W/Kg He was in the air for 0.12 s Calculate his jump height - AQA - GCSE Physics - Question 11 - 2019 - Paper 1

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Question 11

The-muscle-power-in-watts-per-kg-is-calculated-using-the-following-equation:--muscle-power-=-\(-9.8-\times-\text{jump-height}-\div-\text{time}-\)--One-volunteer-has-a-muscle-power-of-41-W/Kg--He-was-in-the-air-for-0.12-s--Calculate-his-jump-height-AQA-GCSE Physics-Question 11-2019-Paper 1.png

The muscle power in watts per kg is calculated using the following equation: muscle power = \( 9.8 \times \text{jump height} \div \text{time} \) One volunteer has ... show full transcript

Worked Solution & Example Answer:The muscle power in watts per kg is calculated using the following equation: muscle power = \( 9.8 \times \text{jump height} \div \text{time} \) One volunteer has a muscle power of 41 W/Kg He was in the air for 0.12 s Calculate his jump height - AQA - GCSE Physics - Question 11 - 2019 - Paper 1

Step 1

Calculate his jump height.

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Answer

To find the jump height of the volunteer, we can rearrange the muscle power formula:

[ \text{Jump height} = \frac{\text{muscle power} \times \text{time}}{9.8} ]\n Substituting the known values:

[ \text{Jump height} = \frac{41 \times 0.12}{9.8} \approx 0.50 \text{ m} ]

Thus, the jump height is approximately 0.50 m.

Step 2

Write down the equation which links kinetic energy, mass and speed.

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Answer

The equation linking kinetic energy (( E_k )), mass (m), and speed (v) is:

[ E_k = \frac{1}{2} m v^2 ]

Step 3

Calculate his mass.

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Answer

To find the mass of the volunteer, we rearrange the kinetic energy equation:

[ m = \frac{2 E_k}{v^2} ]

Substituting the known values:

[ m = \frac{2 \times 270}{(3.0)^2} = \frac{540}{9} = 60 \text{ kg} ]

Thus, the mass is 60 kg.

Step 4

Compare the muscle power of males with the muscle power of females.

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Answer

From the data in Figure 19:

  • Males typically have a higher muscle power than females for most of their lives.
  • Specifically, males have greater muscle power than females before the age of 10.
  • After age 10, males maintain higher muscle power levels, reaching a peak around 25 years of age, while females peak earlier at age 20.
  • At age 9/10, both genders have similar muscle power readings, but males seem to gain an advantage as they grow older.
  • The decline in muscle power is steeper for males after 25 years than for females.

Step 5

Suggest one reason.

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Answer

One reason for recording the highest muscle power reading instead of calculating an average could be to emphasize the peak performance of the volunteers at their best, which may be more indicative of their maximum ability than an average that might include lower readings.

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