Early one October you go to a pumpkin patch to select your Halloween pumpkin. You lift the 2.8 kg pumpkin to a height of 1.27 m, then carry it 51.4 m (on level ground) to the check-out stand. How much work do you do on the pumpkin as you carry it from the field?
I have successfully found the work to pick the pumpkin up bot not over the total displacement.
you do not work carrying it, but you did when you lifted it.
that makes a lot of sense
To find the total work done on the pumpkin as you carry it from the field, we need to calculate the work done in both lifting it and carrying it horizontally.
1. Work done in lifting the pumpkin:
The work done in lifting an object is given by the formula: work = force * distance
In this case, the force is equal to the weight of the pumpkin, which can be calculated using the formula: weight = mass * gravitational acceleration (g = 9.8 m/s²)
So, the force required to lift the pumpkin is: force = 2.8 kg * 9.8 m/s²
The distance the pumpkin is lifted is 1.27 m.
Using the formula for work, we can calculate the work done in lifting the pumpkin: work = force * distance.
2. Work done in carrying the pumpkin horizontally:
The work done in carrying an object horizontally on level ground is zero since there is no displacement in the vertical direction (perpendicular to the force).
To calculate the total work done, we need to sum up the work done in lifting the pumpkin and the work done in carrying it horizontally: total work = work in lifting + work in carrying.
Thus, the total work done on the pumpkin is the work done in lifting it.
To calculate the total work done in lifting the pumpkin, plug the values into the formula: total work = (mass * gravitational acceleration) * distance lifted.
total work = (2.8 kg * 9.8 m/s²) * 1.27 m
Now, calculate the total work done on the pumpkin by multiplying the mass, gravitational acceleration, and distance lifted.
total work = 27.44 N * 1.27 m
Calculating the value:
total work = 34.8248 Joules (rounded to 2 decimal places)
Therefore, you do 34.82 Joules of work on the pumpkin as you carry it from the field.