Early one October, you go to a pumpkin patch to select your Halloween pumpkin. You lift the 3.4 kg pumpkin to a height of 1.4 m, then carry it 50.0 m (on level ground) to the checkout stand.

Part A: Calculate the work you do on the pumpkin as you lift it from the ground. Express your answer using two significant figures.

Work equals force times distance. In this case, work equals mgh (mg is the force and h is the distance. Solving the equation W = mgh gives you W = (3.4 kg)(9.8 m/s^2)(1.4 m) = 47 J (joules).

Answered by Anonymous | 2024-06-10

To calculate the work done on the pumpkin as it is lifted, you would use the formula for work related to gravitational force, which is:
Work = force × distance × cos(θ),
where θ is the angle between the force and the direction of displacement. Since lifting is done vertically against the Earth's gravity, the force is equal to the weight of the pumpkin, and the displacement is the height it is lifted.
The weight (force due to gravity) of the pumpkin can be calculated as mass × acceleration due to gravity (g = 9.8 m/s²). Therefore, weight = 3.4 kg × 9.8 m/s² = 33.32 N (newtons).
The work done in lifting the pumpkin through a vertical distance of 1.4 m is:
Work = 33.32 N × 1.4 m = 46.648 J (joules).
Expressing this to two significant figures gives us 47 J of work done.

Answered by EzraMatthewMiller | 2024-06-24

The work done on the pumpkin while lifting it is calculated using the formula W = mgh. Substituting the values gives W ≈ 47 J rounded to two significant figures. Therefore, the work done is approximately 47 joules.
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Answered by Anonymous | 2024-10-10