Answer:
To calculate the work done by the teenager, we need to know the force applied and the distance moved.
Since we don't know the force applied, we can assume that it's equal to the weight of the teenager. The weight of the teenager can be calculated by multiplying their mass by the acceleration due to gravity, which is approximately 9.81 m/s^2:
weight = mass * acceleration due to gravity
weight = 46 kg * 9.81 m/s^2
weight = 451.26 N
The distance moved is equal to the height of 44 steps:
distance = height of 1 step * 44 steps
distance = 20 cm * 44
distance = 880 cm or 8.8 m
Now we can calculate the work done by the teenager using the formula:
work = force * distance * cos(theta)
where theta is the angle between the force and the direction of movement. Since the teenager is moving vertically upward, the angle theta is 0 degrees, and the cos(0) is equal to 1. Therefore, we can simplify the formula to:
work = force * distance
Plugging in the values we have calculated, we get:
work = 451.26 N * 8.8 m
work = 3977.488 J
Therefore, the work done by the teenager to get to your room is approximately 3977.5 joules.