Question

You select a pumpkin from a patch. You lift the3.2-kg pumpkin to a height of 1.2 m, then carry it 50.0 m on level ground to the check-out stand. (a) Calculate the work you do on the pumpkin as you lift it from the ground. (b) How much work do you do on the pumpkin as you carry it from the field?

Answer 1

(a)

`37.6` J

b)

`0` J

Step-by-step explanation:

(a)

`m` = mass of the pumpkin = 3.2 kg

`h` = height to which pumpkin is lifted = 1.2 m

`W_(g)` = Work done in lifting the pumpkin

Work done in lifting the pumpkin is given as

`W_(g) = mgh`

`W_(g) = (3.2) (9.8) (1.2)`

`W_(g) = 37.6` J

(b)

`F` = Force applied on the pumpkin in vertical direction

`d` = displacement in horizontal direction = 50 m

`\theta` = Angle between applied force and displacement = 90

Work done in carrying the pumpkin is given as

`W_(p)= F d Cos\theta`

`W_(p)= F d Cos90`

`W_(p)= F d (0)`

`W_(p)= 0` J