Answer :
To determine the power exerted by Usain Bolt, we can follow these steps:
1. Calculate the Change in Kinetic Energy:
- Kinetic energy (KE) is given by the formula: [tex]\( \text{KE} = \frac{1}{2} \times \text{mass} \times \text{velocity}^2 \)[/tex].
- Given mass = 94 kg and final speed = 12.41 m/s, we first calculate the final kinetic energy.
- Initial kinetic energy is zero because Bolt starts from rest (initial speed is 0).
- Change in kinetic energy = Final KE - Initial KE = [tex]\( \frac{1}{2} \times 94 \times 12.41^2 \)[/tex].
2. Calculate Power:
- Power is the rate at which energy is used, calculated by the formula: [tex]\( \text{Power} = \frac{\text{Change in energy}}{\text{Time}} \)[/tex].
- Use the time of 7.41 seconds to find the power exerted.
- Plug in the change in kinetic energy and divide by the time.
3. Round the Answer:
- Finally, round the calculated power to one decimal place.
After performing these calculations, we find that the power exerted by Usain Bolt is 976.8 watts.
1. Calculate the Change in Kinetic Energy:
- Kinetic energy (KE) is given by the formula: [tex]\( \text{KE} = \frac{1}{2} \times \text{mass} \times \text{velocity}^2 \)[/tex].
- Given mass = 94 kg and final speed = 12.41 m/s, we first calculate the final kinetic energy.
- Initial kinetic energy is zero because Bolt starts from rest (initial speed is 0).
- Change in kinetic energy = Final KE - Initial KE = [tex]\( \frac{1}{2} \times 94 \times 12.41^2 \)[/tex].
2. Calculate Power:
- Power is the rate at which energy is used, calculated by the formula: [tex]\( \text{Power} = \frac{\text{Change in energy}}{\text{Time}} \)[/tex].
- Use the time of 7.41 seconds to find the power exerted.
- Plug in the change in kinetic energy and divide by the time.
3. Round the Answer:
- Finally, round the calculated power to one decimal place.
After performing these calculations, we find that the power exerted by Usain Bolt is 976.8 watts.
