Answer:
approx. 147 units of work
Step-by-step explanation:
To find the amount of work you do when you lift your sister to a given height, we need to use the formula for work.
The formula for work is given by:
W = F * d
where W is the work done, F is the force applied, and d is the distance moved.
In this case, we are given that the weight of your sister is 10.0 kg, the height to which you lift her is 1.5 meters, and the acceleration due to gravity is 9.8 m/s^2. We can use these values to solve for the amount of work you do when you lift your sister.
First, we need to calculate the force applied by you. The force applied by you is equal to the weight of your sister divided by the acceleration due to gravity:
F = m * a
F = 10.0 * 9.8
F = 98
Next, we can use the formula for work to solve for the work done when you lift your sister:
W = F * d
W = 98 * 1.5
W = 147
Therefore, you do approximately 147 units of work when you lift your 10.0 kg sister to a height of 1.5 meters. This result is not exact because the value of the acceleration due to gravity is an approximation