A.) a hardworking ant must supply 0.0650 n to pull a piece of fruit at constant velocity 8.40 cm up the colony's ant hill. if the coefficient of kinetic friction between the piece of fruit and the 24.0° sloped ant hill is 0.420, calculate the work done by the ant by pulling the piece of fruit up the hill.
b.) use the work-energy theorem to calculate the mass of the piece of fruit in grams. (the acceleration due to gravity is 9.81 m/s2.)

a).

b). m=287.78g

Explanation:

a)

The work done by the hardworking ant is the same work in the direction of the plane so

b)

Using the theorem of work energy and conservation can find the mass of the piece of fruit

Resolve to m

ΔS = 3.09 J/K

Explanation:

Entropy is defined as the magnitude of disorder in a system. Mathematically, entropy change is given as, the heat absorbed or released by a system divided by the change in absolute temperature. So, the formula for entropy change is as follows:

ΔS = ΔQ/ΔT

where,

ΔS = Change in Entropy of Metal Wire = ?

ΔQ = Heat Conducted through Wire = 1216 J

ΔT = Difference in Temperature = 686 K - 292 K = 394 K

Therefore,

ΔS = 1216 J/394 K

ΔS = 3.09 J/K