The energy transferred to the tomato by doing work on it increases its potential

Question

The energy transferred to the tomato by doing work on it increases its potential energy because the tomato is now at a greater height or position relative to the ground. Significant Figures Feedback: Your answer 17.32 J was either rounded differently or used a different number of significant figure than required for this part. Kinetic energy, E_k, is given by the formula E_k = 1/2 mv^2 where m is mass is the mass in kilograms and v is velocity in meters per second. The tomato is dropped. What is the velocity, v, of the tomato when it hits the ground? Assume 85.9% of the work done in is transferred to kinetic energy, E, by the time the tomato hits the ground. Express your answer with the appropriate units.

Explanation / Answer

W = 0.175 Kg x 9.81 m/s2 x 10.1 m

W = 17.34 J

Ke = 1/2 x m x v2

17.34 x 85.9/100 = 1/2 x 0.175 x v2

14.89 = 1/2 x 0.175 x v2

v = 13.04 m/s will be the velocity

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