How much work does a 64 kg person do against gravity in walking up a trail that gains 760 m in elevation?
The question is kind of oddly worded. If the question is how much work is done by a person 64kg traveling 760m up an elevation, than 64kg*9.8*760m is the answer. In this case mgh=f*d.
To calculate the work done by a person against gravity when walking up a trail, you can use the formula:
Work = Force x Distance
The force exerted against gravity is given by:
Force = mass x gravity
Where:
mass = 64 kg (mass of the person)
gravity = 9.8 m/s² (acceleration due to gravity)
First, calculate the force:
Force = 64 kg x 9.8 m/s² = 627.2 N
Next, calculate the distance:
Distance = 760 m
Now, plug the values into the work formula:
Work = 627.2 N x 760 m
Calculating this multiplication will give you the amount of work done against gravity.
To calculate the work done by a person against gravity while walking up a trail, we can use the formula:
Work = force × distance
The force in this case is the weight of the person, which is equal to their mass multiplied by the acceleration due to gravity (9.8 m/s² on Earth).
Step 1: Calculate the force:
Force = mass × acceleration due to gravity
Force = 64 kg × 9.8 m/s²
Force = 627.2 N
Step 2: Calculate the distance:
Distance = elevation gained
Distance = 760 m
Step 3: Calculate the work done:
Work = force × distance
Work = 627.2 N × 760 m
Work = 476,672 J (Joules)
Therefore, a 64 kg person does 476,672 Joules of work against gravity while walking up a trail that gains 760 m in elevation.