A medium-sized banana provides about 105 Calories of energy HINT (a) Convert 105

Question

A medium-sized banana provides about 105 Calories of energy HINT (a) Convert 105 Cal to joules. By convention, 1 Calorie sol caleries - 1 Klocalorie, Oone Caorie with a capital "er is equal to 1000 calorins with a small (b) Suppose that amount of energy is transformed into kinatic energy of a 1.33 kg object initially at rest. Calculate the final speed of the object (in m/s). m/s (e) If that same amount of energy is added to 3.79 kg (about 1 gal) of water at 15.7°C, what is the water's final temperature (in °C)? The specific heat of water is cz 4186 . (kg·°C) ac

Explanation / Answer

(b) Kinetic Energy = 1/2 mv^2

KE = 105 cal = 4.40 x 10^5 J

4.40 x 10^5 = 1/2 x 1.33 x v^2

v^2 = 661654.135

v = 813.42 m/s (Answer)

(c) Q = mc delT

del T = Q / mc

delT = (4.40 x 10^5) / (3.79 x 4186)

delT = 27.73

Tf - Ti = 27.73

Tf = final temperature
Ti = initial temperature

Tf = 27.73 + Ti = 27.73 + 15.7

Tf = 43.43 degree Celcius (Answer)

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