A 32 kg girl runs up a flight of stairs that is 30 m high. How much work does this require?
Not sure how to even start
work=force*distance against the force
- mass*9.8N/kg*30m
put in mass of 32kg, and you have the answer in Joules.
10.45
To calculate the work required, you need to know two things: the force exerted and the distance moved. In this case, we can calculate the work by using the formula:
Work = Force × Distance
The force required to move the girl up the stairs is equal to her weight. The weight can be calculated using the formula:
Weight = Mass × Gravity
The standard value for the acceleration due to gravity is approximately 9.8 m/s^2. To find the weight, we can substitute the values into the formula:
Weight = Mass × Gravity
Weight = 32 kg × 9.8 m/s^2
Now that we know the weight, we can calculate the work by multiplying it by the distance moved:
Work = Weight × Distance
Substituting the given values into the formula:
Work = (32 kg × 9.8 m/s^2) × 30 m
Now, we can calculate the work using a calculator:
Work ≈ 9408 J
Therefore, it requires approximately 9408 Joules of work for the girl to run up the flight of stairs.