Sure! Here are the calculations for Jacqui's work and power:
1. **Calculate Jacqui's work:**
To calculate work, you can use the formula: Work = Force × Distance. In this case, Jacqui is lifting a box against gravity, so the force is equal to the weight of the box. The weight of the box can be calculated as the mass of the box multiplied by the acceleration due to gravity (9.8 m/s^2).
Weight of the box = 8 kg × 9.8 m/s^2 = 78.4 N
Distance lifted = 10 m
Work = Force × Distance = 78.4 N × 10 m = 784 J
Therefore, Jacqui's work is 784 Joules.
2. **Calculate Jacqui's power:**
Power is the rate at which work is done, and it can be calculated using the formula: Power = Work / Time. We already calculated the work done by Jacqui as 784 J. Given that it took her 8 seconds to lift the box, we can now calculate her power.
Time taken = 8 seconds
Power = Work / Time = 784 J / 8 s = 98 Watts
Therefore, Jacqui's power is 98 Watts.
